Class 6 Practice Questions – Digitalmathsbyjeevan

CLASS 6 MATHS PRACTICE QUESTIONS

Class 6 Mathematics, highlighting the key concepts:

1. Knowing Our Numbers

Place Value System: Indian and International systems of numeration.
Comparison of Numbers: Use of place value to compare large numbers.
Rounding Off: Rounding to the nearest tens, hundreds, thousands.
Large Numbers Operations: Addition, subtraction, multiplication, division of large numbers.

2. Whole Numbers

Natural and Whole Numbers: Difference between them.
Number Line: Representation of whole numbers, addition, and subtraction on the number line.
Properties of Whole Numbers: Closure, commutative, associative, distributive properties, and identity for addition and multiplication.

3. Playing with Numbers

Factors and Multiples: Prime numbers, composite numbers, divisibility rules.
Prime Factorization: Finding factors of a number.
HCF and LCM: Using prime factorization, division method to find the Highest Common Factor and Least Common Multiple.

4. Basic Geometrical Ideas

Geometrical Figures: Concepts of points, lines, line segments, rays, and angles.
Polygons: Triangles, quadrilaterals, and other polygons.
Curves and Circles: Terms like radius, diameter, chord, arc, etc.

5. Understanding Elementary Shapes

Measuring Line Segments: Using a ruler and divider.
Types of Angles: Right, acute, obtuse, reflex, straight, and complete angles.
Types of Triangles and Quadrilaterals: Based on angles and sides.
3D Shapes: Cubes, cuboids, cones, cylinders, spheres, and their faces, edges, and vertices.

6. Integers

Introduction to Integers: Positive and negative numbers.
Operations on Integers: Addition and subtraction using number lines.
Properties of Integers: Closure, commutative, associative properties for addition and subtraction.

7. Fractions

Types of Fractions: Proper, improper, and mixed fractions.
Equivalent Fractions: Finding and simplifying fractions.
Operations on Fractions: Addition, subtraction, multiplication, and division of fractions.

8. Decimals

Representation of Decimals: Tenths, hundredths, thousandths.
Operations on Decimals: Addition, subtraction, multiplication, and division involving decimals.
Relation Between Fractions and Decimals: Converting fractions to decimals and vice versa.

9. Data Handling

Recording Data: Tally marks, organizing data in tables.
Pictographs and Bar Graphs: Reading and drawing pictographs and bar graphs to represent data.

10. Mensuration

Perimeter and Area: Calculation of perimeter for squares, rectangles, triangles, and area of squares and rectangles.
Formulas: Use of formulas for perimeter and area.

11. Algebra

Introduction to Algebra: Variables, constants, and expressions.
Simple Equations: Formation and solving simple linear equations.
Using Algebra in Practical Problems: Translating word problems into algebraic equations.

12. Ratio and Proportion

Ratio: Definition and comparison of ratios.
Proportion: Definition and examples.
Unitary Method: Solving problems using the unitary method.

13. Symmetry

Symmetrical Figures: Identification of symmetry in objects.
Line of Symmetry: Understanding the concept of lines of symmetry in different shapes.

14. Practical Geometry

Using a Ruler and Compass: Constructing line segments, circles, and perpendicular lines.
Angle Construction: Constructing angles of specific measures (30°, 45°, 60°, 90°) using a compass and protractor.

Grade 6 Maths Knowing Our Numbers

Knowing Our Numbers

Definition: Understanding and working with large numbers.
Place Value System: Helps in reading and writing large numbers based on place values (ones, tens, hundreds, etc.).
- Example: The number 25,486 in the Indian system is written as 25 thousand 486.
Rounding Off: Approximating numbers to the nearest ten, hundred, or thousand.
- Example: 4,367 rounded to the nearest hundred is 4,400.
Large Number Operations: Adding, subtracting, multiplying, and dividing large numbers.
- Example: $5, 678 + 3, 123 = 8, 801$ .

Grade 6 Maths Knowing Our Numbers Multiple Choice Questions (MCQs)

Identify the greatest and the smallest in 2853, 7691, 9999, 12002, 124.
(a) 12002, 124
(b) 9999, 124
(c) 7691, 124
(d) 2853, 124
Which pair has the same digits at hundreds place?
(a) 4232, 4331
(b) 2334, 2340
(c) 6524, 7823
(d) 5432, 6922
Using digits 4, 5, 6 and 0 without repetition make the greatest four digit number.
(a) 4560
(b) 5640
(c) 6540
(d) 6504
Using digits 0, 1, 2, 3 without repetition makes the smallest four digit number.
(a) 0123
(b) 1023
(c) 1230
(d) 1032
Make the greatest and the smallest four digit numbers using any four digits numbers with digit 5 always at a thousand place.
(a) 5986, 5012
(b) 5987, 5012
(c) 5999, 5000
(d) 5789, 5120
Correct ascending order of 847, 9754, 8320, 571 is:
(a) 571, 8320, 847, 9754
(b) 571, 847, 8320, 9754
(c) 9754, 847, 8320, 571
(d) 9754, 8320, 847, 571
Correct descending order of 5000, 7500, 85400, 7861 is:
(a) 5000, 7500, 85400, 7861
(b) 85400, 7500, 7861, 5000
(c) 85400, 7861, 7500, 5000
(d) 7861, 7500, 7861, 5000
Which is greatest and smallest 4 digit number?
(a) 10000, 9999
(b) 1000, 99999
(c) 9999, 1000
(d) 9999, 10000
One crore is similar to:
(a) 100 thousand
(b) 100 lakhs
(c) 10 hundreds
(d) 1000 hundreds
Write the numeral for the number nine crore five lakh forty one.
(a) 9, 50, 00, 041
(b) 9, 05, 00, 041
(c) 9, 05, 041
(d) 9, 500, 041
Insert commas suitably according to Indian system of numeration in 98432701.
(a) 9, 84, 32, 701
(b) 98, 432, 701
(c) 9, 843, 2701
(d) 98, 4327, 01
How many millimeter make one kilometre?
(a) 1000
(b) 10, 000
(c) 100, 000
(d) 10, 00, 000
What is the difference between the greatest and the least number that can be written using the digits 6, 2, 7, 4, 3 each only once?
(a) 50000
(b) 52965
(c) 52865
(d) 51965
The difference between the face value and place value of 4 in 2416 is:
(a) 404
(b) 396
(c) 3000
(d) 2996
The symbol M in roman numeral stands for:
(a) 100
(b) 500
(c) 1000
(d) 50
Which of the following is meaningless?
(a) XIII
(b) XIX
(c) XVV
(d) XL
For 500 which symbol is used in Roman system?
(a) L
(b) C
(c) M
(d) D
Estimation of the quotient 86 ÷ 9 to nearest 10:
(a) 90
(b) 10
(c) 80
(d) none of these
Estimate 734 + 998 by rounding off the nearest tens.
(a) 1730
(b) 1740
(c) 1750
(d) 1760
Estimate 574 + 676 by rounding off the nearest tens.
(a) 1230
(b) 1240
(c) 1250
(d) 1260

Class 6 Maths On Knowing Our Numbers Fill in the blanks

1 lakh = …………….. ten thousand
2. 1 million = …………… hundred thousand
3. 1 crore = ………….. ten lakh
4. 1 crore = …………….. million
5. 1 million = ………….. lakh
6. 1 metre = …………… millimetres
7. 1 centimetre = ……………… millimetres
8. 1 kilometre = …………… millimetres
9. 1 gram = ……………… milligrams
10. 1 litre = ……………… millilitres

Class 6 Maths On Knowing Our Numbers Very Short Answer Type Questions

Find the greatest and the smallest numbers.
382, 4972, 18, 59785, 750
2. Make the greatest and the smallest 4-digit numbers using any four different digits with condition as given. Digit 7 is always at ones place.
Greatest, Smallest
3. Arrange the following numbers in descending order.
9801, 25751, 35601, 38802
4. Arrange the following numbers in descending order.
1971, 45321, 88715, 92547
5. Read and expand the number 65740.
Number Name
Expansion
6. Place commas correctly and write the numerals.
Fifty eight million four hundred twenty three thousand two hundred two.

Class 6 Maths On Knowing Our Numbers Short Answer Type Questions

Population of Sundamagar was 2, 35, 471 in the year 2001. In the year 2011, it was found to be increased by 72, 958. What was the population of the city in 2011?
Round off the given numbers to the nearest tens hundreds and thousands.

Write the expressions for each of the following using brackets.
(a) Four multiplied by the sum of nine and two
(b) Divide the difference of eighteen and six by four
(c) Forty five divided by three times the sum of three and two
Write in Roman numerals.
(a) 73
(b) 98
(c) 60

Class 6 Maths On Knowing Our Numbers Long Answer Type Questions

The number of sheets of paper available for making note book is 75,000. Each sheet makes 8 pages of a notebook. Each notebook contains 200 pages. How many notebooks can be made from the paper available?
2. A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer?
3. Shyam bookstore sold books worth ₹ 2,85,891 in the first week of June and books worth ₹ 4,00,768 in the second week of the month. How much was the sale for the two weeks together? In which week was the sale greater and by how much?

Grade 6 Maths Whole Numbers

Whole Numbers

Definition: Numbers starting from 0 and including all natural numbers.
Number Line: Represents whole numbers on a line where each point corresponds to a number.
- Example: On a number line, 0 is the starting point, and 1, 2, 3 follow consecutively.
Properties of Whole Numbers:
- Closure Property: The sum of two whole numbers is always a whole number.
  - Example: 5+3=85 + 3 = 8 (a whole number).
- Commutative Property: Changing the order of numbers doesn’t affect the result.
  - Example: 4+5=5+44 + 5 = 5 + 4.
- Associative Property: Grouping numbers does not affect their sum.
  - Example: (2+3)+4=2+(3+4).
- Distributive Property: Multiplication distributes over addition.
  - Example: 2×(3+4)=2×3+2×4=6+8=14.

Grade 6 Maths Whole Numbers Multiple Choice Questions (MCQs)

Write the successor of 1997.
(a) 1996
(b) 1997
(c) 1998
(d) none of these
Which is the smallest whole number?
(a) 1
(b) 0
(c) 2
(d) -1
Find value of 297 × 17 + 297 × 3
(a) 5940
(b) 5980
(c) 5942
(d) 5970
Fill in the blanks to make the statement true.
6245 + (631 + 751) = (631 + …………) + 751
(a) 6245
(b) 751
(c) 200
(d) 231
5 divided by 0 is:
(a) 5
(b) 0
(c) 1
(d) not defined
0 divided by 6 is:
(a) 6
(b) 0
(c) 1
(d) 60
The sum of a number with a whole number is always:
(a) 0
(b) 100
(c) even number
(d) a natural number
The sum of two whole numbers is always:
(a) zero
(b) 100
(c) a whole number
(d) odd number
Smallest natural number is:
(a) 0
(b) 1
(c) 2
(d) -1
The natural numbers along with zero form the collection of:
(a) Whole numbers
(b) Integers
(c) Rational numbers
(d) Real numbers
Which natural number has no predecessor?
(a) 0
(b) 1
(c) 10
(d) 100
Whole numbers are closed under which operation?
(a) Addition
(b) Subtraction
(c) Division
(d) None of these
Which number is identity for addition of whole number?
(a) 0
(b) 1
(c) 10
(d) 100
Which number is identity for multiplication of whole numbers?
(a) 0
(b) 1
(c) 10
(d) 100
Smallest whole number is:
(a) 0
(b) 1
(c) 2
(d) -1
Predecessor of which two digit number has a two digit?
(a) 99
(b) 100
(c) 101
(d) 111
How many natural numbers are there?
(a) 100
(b) 1000
(c) infinitely many
(d) 10
The product or multiplication of a number with zero is always:
(a) zero
(b) one
(c) the number itself
(d) none of these
The line on which we represent the natural number is known as:
(a) counting line
(b) number line
(c) digit line
(d) 1760
Predecessor of which two digit number has a single digit?
(a) 9
(b) 10
(c) 0
(d) 11

Class 6 Maths Whole Numbers True (T) or False (F)

Zero is the smallest natural number.
2. Zero is the smallest whole number.
3. All natural numbers are whole numbers.
4. All whole numbers are natural numbers.
5. The predecessor of a two digit number is never a single digit number.
6. The natural number 1 has no predecessor.
7. The whole number 1 has no predecessor.
8. The whole number 13 lies between 11 and 12.
9. The whole number 0 has no predecessor.
10. The successor of a two digit number is always a two digit number.

Class 6 Maths Whole Numbers Very Short Answer Type Questions

Write the predecessor and successor of
(a) 1997
(b) 12000
2. Find 8 × 1769 × 25.
3. Find 12 × 35 using distributivity.
4, What is the difference between the largest number of 5 digits and the smallest 6 digit?
5. The product of two whole numbers is zero. What do you conclude?
6. Find 7 + 18 + 13.

Class 6 Maths Whole Numbers Short Answer Type Questions

Study the pattern:
1 × 8 + 1 =9
1234 × 8 + 4 = 9876
12 × 8 + 2 = 98
12345 × 8 + 5 = 98765
123 × 8 + 3 = 987 Write the next two steps?
2. The school canteen charges ₹ 20 for lunch and ₹ 4 for milk for each day. How much money do you spend in 5 days on these things?
3. Simplify 126 × 55 + 126 × 45.
4. Find using distributive property.
(a) 5437 × 10001
(b) 824 × 25

Class 6 Maths Whole Numbers Long Answer Type Questions

In each of the following pairs of numbers, state which whole number is on the left of the other number on the number line. Also write them with the appropriate sign (>, <) between them.
(a) 530, 503
(b) 98765, 56789
(c) 9830415, 10023001
2. A taxi driver filled his car petrol tank with 40 litre of petrol on Monday. The next day he filled the tank with 50 litres of petrol. If the petrol costs ₹ 44 per litre, how much did he spend in all on petrol?
3. A vendor supplies 32 litres of milk’ to a hotel in the morning and 68 litres of milk in the evening. If the milk costs ₹ 15 per litre, how much money is due to the vendor per day?

Grade 6 Maths Playing with Numbers

Playing with Numbers

Definition: Exploring factors, multiples, and divisibility.
Factors and Multiples: A number is a factor of another if it divides the number exactly. A multiple of a number is obtained by multiplying it by any integer.
- Example: Factors of 12 are 1, 2, 3, 4, 6, 12. Multiples of 3 are 3, 6, 9, 12, etc.
Prime Factorization: Expressing a number as a product of prime numbers.
- Example: Prime factorization of 18 is 18=2×3×318 = 2 \times 3 \times 3.
HCF and LCM: Highest Common Factor (HCF) is the largest number that divides two numbers. Least Common Multiple (LCM) is the smallest number divisible by two numbers.
- Example: HCF of 12 and 15 is 3; LCM of 12 and 15 is 60.

Grade 6 Maths Playing with Numbers Multiple Choice Questions (MCQs)

Which of the following is the smallest prime number?
(a) 1
(b) 2
(c) 3
(d) 4
The only prime number which is also even:
(a) 1
(b) 2
(c) 4
(d) 6
Tell the maximum consecutive numbers less than 100 so that there is no prime number between them.
(a) 5
(b) 6
(c) 7
(d) 8
If a number is divisible by 2 and 3 both then it is divisible by:
(a) 5
(b) 6
(c) 8
(d) 10
Which of the following numbers is divisible by 3?
(a) 121
(b) 123
(c) 124
(d) 122
A number is divisible by 4 if its:
(a) last digit is 4
(b) last digit is 0
(c) last two digits are divisible by 4
(d) last digit is 8
Two numbers having only 1 as common factor are called:
(a) prime numbers
(b) co-prime numbers
(c) composite numbers
(d) odd numbers
Which of the following pair is co-prime?
(a) 6 and 8
(b) 18 and 35
(c) 7 and 35
(d) 30 and 415
The exact divisor of number 9 is:
(a) 2
(b) 3
(c) 4
(d) 5
Which number is a factor of every number?
(a) 1
(b) 2
(c) 10
(d) 100
Every number is multiple of:
(a) 1
(b) 2
(c) 10
(d) itself
A number for which sum of all its factors is equal to twice number is called:
(a) perfect number
(b) even number
(c) odd number
(d) prime number
How many factors does 36 have?
(a) 7
(b) 9
(c) 10
(d) 8
The numbers having two factors are called:
(a) Even
(b) Odd
(c) Prime
(d) Composite
Which number is neither prime nor composite?
(a) 0
(b) 1
(c) 2
(d) 3
The multiple of 2 are also called:
(a) even numbers
(b) odd numbers
(c) prime numbers
(d) composite numbers
The product of L.C.M. and H.C.F. of two numbers is equal to
(a) sum of number
(b) difference of numbers
(c) product of numbers
(d) quotients of numbers
L.C.M. of two co-prime numbers is always
(a) product of numbers
(b) sum of numbers
(c) difference of numbers
(d) none of these
Divisibility by 2, 5, 10 can be checked by:
(a) sum of digits
(b) last digit
(c) last two digits
(d) last three digits
If a number is divisible by 9, it must be divisible by:
(a) 6
(b) 3
(c) 2
(d) 12

Class 6 Maths Playing with Numbers True (T) or False (F)

The sum of three odd numbers is even.
2. The sum of two odd numbers and one even number is even.
3. The product of three odd numbers is odd.
4. If an even number is divided by 2, the quotient is always odd.
5. All prime numbers are odd.
6. Prime numbers do not have any factors.
7. Sum of two prime numbers is always even.
8. 2 is the only even prime number.
9. All even numbers are composite numbers.
10. The product of two even numbers is always even.

Class 6 Maths Playing with Numbers Very Short Answer Type Questions

Write all factors of 68.
2. Write first five multiples of 6.
3. Find all the multiples of 9 upto 100.
4. Write all the prime numbers less than 15.
5. Give three pairs of prime numbers whose difference is 2.
6. Write all the numbers less than 100 which are common multiples of 3 and 4.

Class 6 Maths Playing with Numbers Short Answer Type Questions

Test the divisibility of the following numbers by 11.
(a) 5335
(b) 70169803
(c) 10000001
2. Find the smallest number having three different prime factors.
3. Find HCF of 140, 210 and 350.
4. Find LCM of 18, 24 and 56.

Class 6 Maths Playing with Numbers Long Answer Type Questions

Find the greatest number of four digits which is exactly divisible by 45 and 50.
2. In a morning walk 3 persons step off together. Their steps measure 80cm, 85cm and 90cm respectively. What is the minimum distance each should walk so that he can cover the distance in complete steps?
3. Find the greatest number which divides 319, 572 and 1329 leaving remainders 4, 5 and 6 respectively.

Class 6 Maths Basic Geometrical Ideas

Basic Geometrical Ideas

Definition: Introduction to basic shapes and their properties.
Points and Lines: A point represents a location; a line is a straight path extending in both directions.
- Example: A point is labeled as “A”, and a line is written as AB.
Curves and Circles: A circle is a set of points equidistant from the center.
- Example: In a circle, the radius is the distance from the center to any point on the circle.
Polygons: Closed shapes with three or more sides, such as triangles, squares, pentagons.
- Example: A triangle has three sides, and a quadrilateral has four.

Class 6 Maths Basic Geometrical Ideas Multiple Choice Questions (MCQs)

How many lines pass through one given point?
(a) one
(b) two
(c) countless
(d) none
How many lines pass through two given points?
(a) one
(b) two
(c) many
(d) none
The line segments forming a polygon are called ………………. .
(a) vertex
(b) sides
(c) angle
(d) curve
Two distinct lines meeting at a point are called ……………… .
(a) collinear lines
(b) intersecting lines
(c) parallel lines
(d) none of these
An angle is made up of two ……………….. starting from a common endpoint.
(a) vertex
(b) lines
(c) rays
(d) line segments
A flat surface which extends indefinitely in all directions is called ……………… .
(a) line
(b) line segments
(c) plane
(d) point
Which of the following is a pair of opposite sides in the given figure?
(a) AB, BC
(b) BC, AD
(c) CD, AD
(d) AB, AD
Which of the following is the pair of adjacent angles in the given figure?
(a) ∠A, ∠ C
(b) ∠ B, ∠ D
(c) ∠ A, ∠ B
(d) none of these
A ………….. of a circle is a line segment joining any two points on the circle.
(a) radius
(b) diameter
(c) circumference
(d) chord
Three or more points lying on the same line are known as …………….. points.
(a) non-collinear
(b) collinear
(c) intersecting
(d) none of these
A portion of a line which has two end points:
(a) line segment
(b) plane
(c) ray
(d) point
The number of sides in a pentagon are:
(a) 3
(b) 5
(c) 6
(d) 4
The lines which do not intersect and have equal distance between them are called:
(a) parallel lines
(b) perpendicular lines
(c) intersecting lines
(d) straight lines
Number of points a line can have are:
(a) infinite
(b) one
(c) two
(d) zero
A line segment AB is denoted as:
a) $\overline{\mathrm{AB}}$
(b) $\underset { AB }{ \longleftrightarrow }$
(c) $\overrightarrow{\mathrm{AB}}$
(d) both a and c
If the length of a line segment AB = 3 cm then 2AB will be
(a) 8 cm
(b) 6 cm
(c) 4 cm
(d) 9 cm
Two line segments having the same length are said to be:
(a) same
(b) unequal
(c) parallel
(d) equal
The number of diagonal in a triangle are:
(a) 3
(b) 2
(c) 0
(d) 1
If two lines are perpendicular to each other then angle between them at the point of contact is:
(a) 80°
(b) 90°
(c) 85°
(d) 100°
A line segment has definite:
(a) breadth
(b) length
(c) thickness
(d) area

Class 6 Maths Basic Geometrical Ideas True (T) or False (F)

Q, M, O, N, P are points on the line .
2. M, O, N are points on a line segment .
3. M and N are end points of line segment .
4. O and N are end points of line segment .
5. M is one of the end points of line segment .
6. M is point on ray .
7. Ray is different from ray .
8. Ray is same as ray .
9. Ray is not opposite to ray .
10. N is the initial point of and .

Class 6 Maths Basic Geometrical Ideas Very Short Answer Type Questions

Join the points given .

How many line segments do you get?
2. Which of the following has a fixed length?
(a) a line
(b) a line segment
(c) a ray
3. Draw a polygon having 3 sides
4. Name the rays in the following figure. What is the starting point of each ray?

5. Count and name all the angles in the adjacent figure.

6. Draw one open curve and one closed curve.

Class 6 Maths Basic Geometrical Ideas Short Answer Type Questions

1. CBSE Class 6 Maths Basic Geometrical Ideas Worksheets 6
(a) Identify the number of triangles in the given figure.
(b) Write the names of all triangles.

Draw a circle and show
(a) its centre
(b) a radius
(b) a sector
(d) a segment
Draw figures to show
(a) Point M lies on the line PQ
(b) AB and CD intersect at P
Draw any triangles and locate
(a) Point A in its interior
(b) Point B in its exterior
(c) Point C on it

Class 6 Maths Basic Geometrical Ideas Long Answer Type Questions

Use the figure to name:
(a) Line containing point E
(b) Line passing through A
(c) Line on which O lies
(d) Two pairs of intersecting lines

2. CBSE Class 6 Maths Basic Geometrical Ideas Worksheets 8
(a) Identify three triangles in the figure
(b) Write the names of six line segments
(c) Which two triangles have ∠Q as common?

Draw a quadrilateral KLMN and write:
(a) two pairs of adjacent sides
(b) two pairs of adjacent angles
(c) two pairs of opposite angles

Grade 6 Maths Understanding Elementary Shapes

Understanding Elementary Shapes

Definition: Learning about various shapes and their properties.
Measuring Line Segments: Use a ruler to measure the length of a line segment.
- Example: The length of a line segment AB is 5 cm.
Types of Angles: Based on the measure of the angle, they are classified as acute (less than 90°), right (90°), obtuse (more than 90°), and straight (180°).
- Example: An angle of 45° is an acute angle.
3D Shapes: Shapes with three dimensions such as cubes, spheres, cones.
- Example: A cube has 6 faces, 12 edges, and 8 vertices.

Grade 6 Maths Understanding Elementary Shapes Multiple Choice Questions (MCQs)

An angle whose measure is equal to one-fourth of a revolution is:
(a) acute angle
(b) obtuse angle
(c) right angle
(d) straight angle
An angle whose measure is equal to half of a revolution is:
(a) acute angle
(b) obtuse angle
(c) right angle
(d) straight angle
An angle whose measure is equal to a full revolution is:
(a) complete angle
(b) obtuse angle
(c) right angle
(d) straight angle
An angle whose measure is equal to 90°:
(a) acute angle
(b) obtuse angle
(c) right angle
(d) straight angle
An angle whose measure is less than 90°:

(a) acute angle

(b) obtuse angle

(d) straight angle

An angle whose measure is more than 90°:
(a) acute angle
(b) obtuse angle
(c) right angle
(d) straight angle
What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from 12 to 3?
(a)
(b)
(c)
(d) none of these
What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from 3 to 6?
(a)
(b)
(c)
(d) none of these
Which direction will you face if you start facing east and make of a revolution clockwise?
(a) east
(b) west
(c) north
(d) south
Which direction will you face if you start facing east and make 1 of a revolution clockwise?
(a) east
(b) west
(c) north
(d) south
An angle whose measure is more than 180° but less than 360°:
(a) reflex angle
(b) obtuse angle
(c) right angle
(d) straight angle
If each angle is less than 90°, then the triangle is called …………….. .
(a) an acute angled triangle
(b) a right angled triangle
(c) an obtuse angled triangle
(d) none of these.
If any one angle is a right angle then the triangle is called ………………… .
(a) an acute angled triangle
(b) a right angled triangle
(c) an obtuse angled triangle
(d) none of these.
Name the type of triangle: APQR such that PQ = QR = PR = 5 cm.
(a) Scalene triangle
(b) Isosceles triangle
(c) Right triangle
(d) Equilateral triangle
Name the type of triangle: APQR such that PQ = QR = 5 cm and PR = 7 cm.
(a) Scalene triangle
(b) Isosceles triangle
(c) Right triangle
(d) Equilateral triangle
Name the polygon with 6 sides.
(a) Triangle
(b) Quadrilateral
(c) Pentagon
(d) Hexagon
Name the polygon with 8 sides.
(a) Octagon
(b) Quadrilateral
(c) Pentagon
(d) Hexagon
A cuboid has …………….. edges.
(a) 4
(b) 6
(c) 8
(d) 12
The number of faces of a cone is ……………….. .
(a) 1
(b) 6
(c) 2
(d) 3
The number of faces of a triangular prism is ……………….. .
(a) 4
(b) 5
(c) 6
(d) none of these

Class 6 Maths Understanding Elementary Shapes True (T) or False (F)

Each angle of a rectangle is a right angle.
2. The opposite sides of a rectangle are equal in length.
3. The diagonals of a square are perpendicular to one another.
4. All the sides of a rhombus are of equal length.
5. The opposite sides of a trapezium are parallel.

Class 6 Maths Understanding Elementary Shapes Match the following

Measures of Triangles	Type of Triangle
1. 3 sides of equal length	i. Scalene
2. 2 sides of equal length	ii. Isosceles right angled
3. All sides are of different length	iii. Equilateral
4. 3 acute angles	iv. Acute angled
5. 1 right angles with two sides of equal length	v. Isosceles

Class 6 Maths Understanding Elementary Shapes Very Short Answer Type Questions

Name a polygon with number of sides as
(a) 4
(b) 8
2. What shape is
(a) Tube light
(b) Earth?
3. Give an example of an object showing:
(a) an acute angle
(b) straight angle
4. Name the three types of triangles based on sides.
5. Classifying the following angles:
(a) 210°
(b) 78°
6. Name any two quadrilaterals.
(a), (b)

Class 6 Maths Understanding Elementary Shapes Short Answer Type Questions

Square is a special type of rhombus. Do you agree? Give a reason.
2. What is the shape of the following objects?
(a) a football
(b) a joker’s cap
(c) a metal pipe
3. If A, B, C, are three points on a line such that AB = 5 cm, BC = 3 cm and AC = 8 cm, which one of them lies between the other two?
4. What part of a revolution have you turned through if you stand facing:
(a) east and turn clockwise to face north?
(b) south and turn clockwise to face east?
(c) west and turn clockwise to face east?

Class 6 Maths Understanding Elementary Shapes Long Answer Type Questions

Write the number of faces, edges and vertices of the following solids:
(a) Cube
(b) Triangular Pyramid
(c) Square Pyramid
(d) Rectangular Prism
2. PQRS is a rhombus with PQ = 5 cm And diagonal PR = 6 cm.Find
(a) Sides PS, QR and RS
(b) ∠STR
(c) Length of PT and TR

3. In the given figure:
(a) Name the vertex of angle 3.
(b) Give full names of angles 2 and 4.
(c) Name the arms of angle 3.
(d) Name the angle formed by angle 1 and 2.

Grade 6 Maths Integers

Integers

Definition: Integers include all positive and negative whole numbers, along with zero.
Operations on Integers: Adding and subtracting integers using rules and number lines.
- Example: ; .
Properties of Integers: Similar to whole numbers, they follow commutative, associative, and distributive properties.
- Example: $= - 7$ .

Grade 6 Maths Integers Multiple Choice Questions (MCQs)

2 subtracted from 7 gives:
(a) -9
(b) 5
(c) -5
(d) 9
5 added to – 5 gives:
(a) 10
(b) -10
(c) 0
(d) -25
The number 3 less than -2 is:
(a) -1
(b) 1
(c) 5
(d) -5
Which of the following numbers is to the right of -3 on the number line?
(a) -4
(b) -2
(c) -12
(d) -13
The number of integers between -2 and 2 is:
(a) 5
(b) 4
(c) 3
(d) 2
The opposite of -7 is:
(a) -6
(b) 6
(c) 5
(d) 7
In addition and subtraction of the integers the sign of answer depends upon:
(a) smaller Number
(b) their Difference
(c) their Sum
(d) greater numerical value
1. Which of the following numbers is greater than -1?
  (a) -2
  (b) -10
  (c) 0
  (d) -3
2. 7 steps to the left of 4 on number line gives:
  (a) 3
  (b) 11
  (c) -11
  (d) -3
3. What will be the opposite of 3 km south?
  (a) 3 km east
  (b) 3 km north
  (c) 3 km north east
  (d) 3 km west
4. Which of the following set of numbers is in descending order?
  (a) 2, -2, 1, -1
  (b) 0, 1, 2, 3
  (c) 1, 0, -1, -2
  (d) -3, -2, -1, 0
5. Sum of -10, – 5 and 12 is:
  (a) 27
  (b) -3
  (c) 3
  (d) -27
6. Which of the following statement is false?
  (a) -4 > -5
  (b) -4 < 5
  (c) 4 < -5
  (d) 4 > -5
7. Which of the following is in increasing order?
  (a) 0, 1, -1
  (b) -1, -2, -3
  (c) -1, 0, 1
  (d) -1, 1, -2
8. Which of the following numbers forms a pattern?
  (a) -6, -3, 0, 3
  (b) -5, -3, -2, 0
  (c) 0, 2, 3, 4
  (d) 1, 2, 4, 6
9. Which of the following will give an answer with a negative sign?
  (a) -48 + 79
  (b) -40 + 40
  (c) -18 + 30
  (d) 48 + (-39)
10. What will be the additive inverse of -1?
  (a) -2
  (b) -1
  (c) 0
  (d) 1
11. Sum of a negative and a positive integer is:
  (a) always negative
  (b) either positive or negative
  (c) always positive
  (d) zero
12. The pair of integers whose sum is -5:
  (a) 1, -4
  (b) -1, 6
  (c) -3, -2
  (d) 5, 0
13. 39 – 50 is:
  (a) Not possible
  (b) -89
  (c) -11
  (d) 10
Class 6 Maths Integers True (T) or False (F)
1. (-8) + ……………. = 0
  2. 13 + ………………. = 0
  3. 12 +(-12) = ……………
  4. (-4) + …………….. = -12
  5. …………… -15 = -10
Class 6 Maths Integers Write the following numbers with appropriate signs:
1. 100 m below sea level
  2. 25°c above 0°c temperature
  3. 15°c below 0°c temperature
  4. any five numbers less than 0
Class 6 Maths Integers Very Short Answer Type Questions
1. Represent +5 and -3 on the number line.
  2. Write five negative integers greater than -10.
  3. How many integers lie between -5 and 4?
  4. Write the following integers in ascending order:
  -5, -7, -2, 3, 0, 7
  5. Find the sum (-7) + (-9) + 4 – 16.
  6. Find : 50 – (-40) + (-20).
Class 6 Maths Integers Short Answer Type Questions
1. Write opposite of the following:
  (a) Increase in height
  (b) Loss of ₹ 500
  (c) 10 Km. South
  (d) 50 m below sea level
  2. A man is standing at -5 on the number line. In which direction and how many steps should he move to reach at -11?
  3. In the following pairs, which number is to the right of the other on the number line?
  (a) 0 and -3
  (b) -7 and 7
  (c) -1000 and 4
  4. Solve without using the number line.
  (a) (-7)-8-(-23)
  (b) 4 – (-8) + (-7) – (-8)
Class 6 Maths Integers Long Answer Type Questions
1.
(a) Subtract-31 from 50.
(b) Subtract 50 from -31.
2. Subtract the sum of -16 and -26 from the sum of 25 and -40.
3. Simplify :
1 + (-3) + 5 + (-7) + 9 + (-11) + 13 + (-15)

Grade 6 Maths Fractions

Fractions

Definition: A fraction represents a part of a whole.
Types of Fractions: Proper fractions (numerator < denominator), improper fractions (numerator ≥ denominator), and mixed fractions (a combination of a whole number and a fraction).
- Example: 2/3 is a proper fraction, 7/4 is an improper fraction.
Operations on Fractions: Adding, subtracting, multiplying, and dividing fractions.
- Example: 1/2+1/3=(3+2)/6=5/6.

Grade 6 Maths Fractions Multiple Choice Questions (MCQs)

Write the fraction representing the shaded region in the below left figure.
(a) 1/8
(b) 4/8
(c) 5/8
(d) 3/8
Write the fraction representing the shaded region in the above sided right figure.
(a) $\frac{1}{8}$
(b) $\frac{4}{8}$
(c) $\frac{5}{8}$
(d) $\frac{3}{8}$
Fill in the boxes with the correct symbol: $\frac{1}{2} \square \frac{3}{2}$
(a) >
(b) <
(c) =
(d) none of these
Fill in the boxes with the correct symbol: $\frac{3}{4} \square \frac{2}{4}$
(a) >
(b) <
(c) =
(d) none of these
Fill in the boxes with the correct symbol: $\frac{5}{8} \square \frac{7}{8}$
(a) >
(b) <
(c) =
(d) none of these
Fill in the boxes with the correct symbol: $\frac{5}{5} \square \frac{7}{7}$
(a) >
(b) <
(c) =
(d) none of these
What fraction of a day is 8 hours?
(a)1/8
(b)8/1
(c)3/1
(d)1/3
What fraction of an hour is 45 minutes?
(a) 4/3
(b) 3/4
(c) 1/2
(d) 4/5
The equivalent fraction of with denominator 20 is:
(a) 12/20
(b) 20/12
(c) 10/20
(d) 15/20
The equivalent fraction of y with numerator 9 is:
(a) 15/9
(b) 9/11
(c) 9/15
(d) 9/5
. The simplest form of 48/60 is:
(a) 5/4
(b) 4/5
(c) 8/10
(d)12/15
1. Which one of the following is a proper fraction?
  (a) 5/6
  (b) 7/3
  (c)4/3
  (d) 8/5
2. Which one of the following is an improper fraction?
  (a) 7/8
  (b) 8/3
  (c) 3/4
  (d) 9/11
3. A proper fraction with denominator 7 is:
  (a) 8/7
  (b) 4/7
  (c) 9/7
  (d) 11/7
4. An improper fraction with denominator 9 is:
  (a) 2/9
  (b) 7/9
  (c) 11/9
  (d) 5/9
5. 20/3 can be written in mixed fraction as:
  (a) 3 $\frac{6}{2}$
  (b) 6 $\frac{2}{3}$
  (c) 2 $\frac{6}{3}$
  (d) 5 $\frac{5}{3}$
6. 6 $\frac{2}{3}$ can be written in improper fraction as:
  (a) $\frac{3}{20}$
  (b) $\frac{15}{3}$
  (c) $\frac{20}{3}$
  (d) $\frac{3}{15}$
7. Which of the following can be written in the box $\frac{2}{7}=\frac{8}{\square}$ ?
  (a) 16
  (b) 13
  (c) 28
  (d) 35
8. Which of the following can be written in the box $\frac{3}{5}=\frac{\square}{20}$ ?
  (a) 18
  (b) 12
  (c) 60
  (d) 15
20. The next equivalent fraction of the given fraction: $\frac{1}{2}, \frac{2}{4}, \frac{3}{6}, \frac{4}{8}, \ldots \ldots . ., \text { is }$
(a) $\frac{7}{14}$
(b) $\frac{6}{12}$
(c) $\frac{10}{5}$
(d) $\frac{5}{10}$
Class 6 Maths Fractions Fill in the blanks
1. A number representing a part of a ………………. is called a fraction.
2. A fraction with denominator greater than the numerator is called a …………….. fraction.
3. Fractions with the same denominator are called ……………….. fractions.
4. 13 $\frac{5}{8}$ is a …………… fraction.
5. $\frac{5}{8}$ and $\frac{3}{8}$ are ………………… proper fractions.
6. $\frac{6}{11}$ and $\frac{6}{13}$ are ……………… proper fractions.
7. The fraction $\frac{17}{34}$ in simplest form is …………….. .
8. The fraction $\frac{6}{15}$ in simplest form is …………… .
9. When $\frac{1}{4}$ is written with denominator as 12, its numerator is ………….. .
10. The value of 1 + $\frac{2}{3}$ is ……………… .
Class 6 Maths Fractions Very Short Answer Type Questions
1. Add the fraction $\frac{3}{8}$ and $\frac{5}{8}$ .
2. Subtract $\frac{11}{4}$ from $\frac{61}{4}$ .
3. A girl dyes dresses. She had to dye 30 dresses. She has so far finished 20 dresses. What fraction of dresses has she finished?
4. Compare $\frac{4}{5}$ and $\frac{7}{5}$ .
5. Shubham painted $\frac{2}{3}$ of the wall and his sister painted $\frac{1}{3}$ of the wail space. How much did they paint together?
6. Javed was given $\frac{5}{7}$ of a basket of oranges. What fraction of oranges was left in the basket?
Class 6 Maths Fractions Short Answer Type Questions
1. What fraction of an hour is 40 minutes?
2. Subtract $\frac{81}{3}$ from $\frac{100 }{9}$ .
3. A rectangle is divided into a certain number of equal parts. If 16 of the parts so formed represent the fraction $\frac{1}{4}$ , find the number of parts in which the rectangle has been divided.
4. Grip size of a tennis racquet is 11 $\frac{9}{80}$ cm; express the size as an improper fraction.
Class 6 Maths Fractions Long Answer Type Questions
1. Arya, Abhimanyu and Vivek shared lunch. Arya has brought two sandwiches, one made of vegetable and one of jam. The other two boys forgot to bring their lunch. Arya agreed to share his sandwiches so that each person will have an equal share of each sandwich.
(a) How can Arya divide his sandwiches so that each person has an equal share?
(b) What part of a sandwich will each boy receive?
2. Find the equivalent fraction of $\frac{3}{5}$ having:
(a) denominator 20
(b) numerator 9
(c) denominator 30
(b) numerator 27
3. Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After 4 months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal used up 40 pencils. What fraction did each use up? Check if each has used up an equal fraction of her/his pencils?
$Maths fractions worksheets for grade 6 img-1$

Grade 6 Maths Decimals

Decimals

Definition: A decimal number represents fractions whose denominators are powers of 10.
Representation of Decimals: Numbers like 0.25 (twenty-five hundredths).
- Example: 0.75=75/100.
- Operations on Decimals: Adding, subtracting, multiplying, and dividing decimals.
- Example: 1.2+2.5=3.7 ; 1.2 + 2.5 = 3.7.

Grade 6 Maths Decimals Multiple Choice Questions (MCQs)

1. What is the place value of 2 in the given decimal 924.75?
(a) ones
(b) tens
(c) tenth
(d) hundredth

2. What is the place value of 5 in the given decimal 924.75?
(a) ones
(b) tens
(c) tenth
(d) hundredth

3. What is the decimal expansion of $\frac{5}{10}$ ?
(a) 0.5
(b) 5.0
(c) 0.05
(d) 0.005

4. Write the following as decimals: “Two ones and five-tenths”.
(a) 2.5
(b) 25
(c) 21.5
(d) none of these

5. 600 + 2 + $\frac{8}{10}$ can be written in decimal form as:
(a) 6002.8
(b) 602.8
(c) 628
(d) none of these

6. 5.008 can be written in words as:
(a) Five thousand eight
(b) Five point eight
(c) Fifty point eight
(d) Five point zero zero eight

7. Which of the following points lies between 0.1 and 0.2?
(a) 0.19
(b) 1.9
(c) 10.9
(d) 1.09

8. Which of the following is smaller?
(a) 0.7
(b) 0.07
(c) 0.007
(d) 0.0007

9. 137 + $\frac{5}{100}$ can be written in the decimal form as:
(a) 137.5
(b) 137.05
(c) 13.75
(d) 1.375

10. Two tens and nine tenths in decimal form is given by:
(a) 2.9
(b) 20.09
(c) 2.09
(d) 20.9

11. 32.549 > 32.458 because:

(a) Tenth part is more
(b) Hundredth is more
(c) Thousandth is more
(d) Whole part of both numbers are equal

12. 4.19 m in cm can be written as:
(a) 419 cm
(b) 41.9 cm
(c) 0.419 cm
(d) 41.09 cm

13. 8888 m in Km can be written as:
(a) 88.88 Km
(b) 888.8 Km
(c) 8.888 Km
(d) 8888 Km

14. Which of the following numbers can be placed in the tens column if the given number is 297.35?
(a) 2
(b) 9
(c) 7
(d) 3

15. Which of the following numbers can be placed in the tenth column if the given number is 297.35?
(a) 2
(b) 9
(c) 7
(d) 3

16. The sum of 0.007 + 8.5 + 30.08 is:
(a) 38.587
(b) 3.100
(c) 18.508
(d) 385.87

17. Find the value of 9.756 – 6.28.
(a) 16.036
(b) 9.128
(c) 3.476
(d) 34.76

18. Find the value of 35 – 2.54.
(a) 32.46
(b) 1.46
(c) 3.246
(d) 37.54

19. Raju bought a book for ₹ 35.65. He gave ₹ 50 to the shopkeeper. How much money did he get back from the shopkeeper?
(a) ₹ 36.15
(b) ₹ 14.35
(c) ₹ 80.65
(d) ₹ 1.435

20. The number 0.125 can be written as fractions in lowest terms:
(a) $\frac{1}{8}$
(b) $\frac{125}{1000}$
(c) $\frac{25}{200}$
(d) $\frac{5}{40}$

Class 6 Maths Decimals True(T) or False(F)

1. The place value of a digit at the tenth place is 10 times the same digit at the ones place.
2. The decimal 3.725 is equal to 3.72 correct to two decimal places.
3. In the decimal form, fraction $\frac{25}{8}$ = 3.125
4. The decimal 23.2 = 23 $\frac{2}{5}$
5. 42.28 – 3.19 = 39.09

Class 6 Maths Decimals Fill In The Blanks

1. 4.55 + 9.73 = …………….. .
2. 8.76 – 2.68 = …………….. .
3. The value of 50 coins of 50 paisa =₹ ……………. .
4. 3 hundredths + 3 tenths = ……………. .
5. Decimal 16.25 is equal to the fraction ……………… .

Class 6 Maths Decimals Very Short Answer Type Questions

1. Express $\frac{11}{20}$ as a decimal.
2. Express 0.041 as a fraction.
3. Convert 5201 g to kg.
4. Convert 2009 paise to rupees.
5. Round off 75.195 to nearest hundredths.
6. What should be added to 4.762 to get 7?

Class 6 Maths Decimals Short Answer Type Questions

1. Arrange in ascending order:
0.011, 1.001, 0.101, 0.110
2. Add the following 20.02 and 2.002
3. Which one is greater?
1 m 40 centimetres + 60 centimetres or 2.6 metres
4. What should be added to 25.5 to get 50?

Class 6 Maths Decimals Long Answer Type Questions

1. Sarita travels 18km 75m every day. Out of this she travels 7km 150m by bus and rest by an auto. How much distance does she travel by an auto?
2. Suresh purchased 6 kg 250g wheat, 3kg 50g sugar and 10kg 800g flour. Find the total weight of his purchases in Kg.
3. The heights of two trees A and B are 17.04m and 8.92m respectively. Find the difference in their heights.

Grade 6 Maths Data Handling

Data Handling

Definition: The collection, representation, and interpretation of data.
Pictographs: Data represented using pictures or symbols.
- Example: A pictograph representing apples using images of apples.
Bar Graphs: Data represented in the form of bars of different heights.
- Example: A bar graph showing the number of students who like different subjects.

Grade 6 Maths Data Handling Multiple Choice Questions (MCQs)

A. Multiple Choice Questions (MCQs)

1. A ……………….. is a collection of numbers gathered to give some information.
(a) bar graph
(b) data
(c) frequency
(d) tally mark

2. The tally mark frequency …………….. .
(a) 6
(b) 5
(c) 10
(d) 8

3. In a bar graph bars are made ……………. .
(a) horizontally
(b) vertically
(c) sometimes horizontally sometimes vertically
(d) oblique

4. Representation of data in the form of picture is called ………………. .

(a) bar graph
(b) pictograph
(c) histogram
(d) none of these

5. In a bar graph space between rectangles is always ……………. .
(a) unequal
(b) increasing
(c) decreasing
(d) equal

6. The tally mark frequency ………….. .
(a) 6
(b) 5
(c) 0
(d) 4

7. In a bar graph the width of the rectangle is ……………. .
(a) unequal
(b) increasing
(c) decreasing
(d) equal

The following pictograph shows the number of absentees in a class of 30 students during the previous week. Read the table and answer the questions given below (Q8 – Q13):

8. On which day were the maximum number of students absent?
(a) Thursday
(b) Friday
(c) Wednesday
(d) Saturday

9. Which day had full attendance?
(a) Thursday
(b) Friday
(c) Wednesday
(d) Saturday

10. What was the total number of absentees in that week?
(a) 600
(b) 130
(c) 150
(d) 100

11. What was the total number of absentees on Tuesday?
(a) 20
(b) 25
(c) 50
(d) 10

12. On which day 5 students were absent?
(a) Thursday
(b) Friday
(c) Wednesday
(d) Saturday

13. On which day 30 students were absent?
(a) Thursday
(b) Friday
(c) Wednesday
(d) Saturday

The colors of fridges preferred by people living in a locality are shown by the following pictograph. Read the table and answer the questions given below (Q14 – Q20):

14. Find the number of people preferring the colour blue.
(a) 20
(b) 80
(c) 50
(d) 10

15. Find many people who like the color red?
(a) 120
(b) 80
(c) 50
(d) 110

16. Find the number of people preferring white colour.
(a) 20
(b) 80
(c) 50
(d) 10

17. Which color is preferred most?
(a) red
(b) blue
(c) yellow
(d) black

18. Which colour preferred least?
(a) green
(b) white
(c) yellow
(d) black

19. Which two colours liked by the same number of people?
(a) green and red
(b) white and yellow
(c) green and black
(d) black and red

20. Find the number of people preferring yellow color.
(a) 20
(b) 80
(c) 50
(d) 60

B. The following pictograph shows the number of Maruti vans manufactured during a week. Read the table and answer the questions given below (Q1 – Q7):

1. On which day were the least number of Maruti Vans manufactured?
2. Find the number of Maruti Vans manufactured on Wednesday.
3. On which day were the maximum number of Maruti Vans manufactured?
4. Find out the approximate number of Maruti Vans manufactured in the particular week.
5. On which days were the same number of Maruti Vans manufactured?
6. Find the number of Maruti Vans manufactured on Monday.
7. Find the number of Maruti Vans manufactured on Thursday.

C. Following table shows the number of bicycles manufactured in a factory during the year 1998 to 2002. Read the table and answer the questions given below (Q8 – Q13):

Year	No. of bicycles manufactured
1998	800
1999	600
2000	900
2001	1100
2002	1200

8. In which year were the maximum number of bicycles manufactured? …………….
9. In which year were the minimum number of bicycles manufactured? ……………..
10. How many bicycles were manufactured from 1998 to 2002? ……………..
11. What is the difference between the number of bicycles manufactured in 2002 and 1999? ………………
12. How many bicycles were manufactured from 1998 to 2000? ………………
13. In which year did the number of bicycles differ the most from the preceding year? …………..

D. The bar graph shows the number of cars sold in a showroom during five different years (Q14 – Q17):

Look at the bar graph and answer the following questions:
14. In which year, the maximum cars were sold? ……………………
15. In which year, the minimum cars were sold? …………………….
16. What is the scale chosen on the vertical line representing the number of cars? …………………
17. How many cars were sold in the year 2009? ……

Grade 6 Maths Mensuration

Mensuration

Definition: Measurement of shapes and objects.
Perimeter: The total length of the boundary of a shape.
- Example: The perimeter of a rectangle is 2(l + b), where is length and is breadth.
Area: The amount of space enclosed within a shape.
- Example: The area of a rectangle is l×b.

Grade 6 Maths Mensuration Multiple Choice Questions (MCQs)

1. The length and breadth of a rectangle are 40 cm and 10 cm respectively. Its perimeter is:
(a) 100 cm
(b) 120 cm
(c) 140 cm
(d) none of these

2. The side of a square is 8 cm. Its area is:
(a) 64 cm2
(b) 84 cm2
(c) 100 cm2
(d) none of these

3. The area of a rectangle is 40 cm2
If its breadth is 4 cm, then its length is:
(a) 20 cm
(b) 30 cm
(c) 10 cm
(d) none of these

4. The area of the square is 100 cm2. Its side is:
(a) 20 cm
(b) 30 cm
(c) 10 cm
(d) none of these

5. The side of a square is 12 m. Its perimeter is:
(a) 36 m
(b) 40 m
(c) 42 m
(d) none of these

6. If the area of a square is 2.25 m2, then its perimeter is:

(a) 7 m
(b) 5 m
(c) 6 m
(d) none of these

7. The side of a square is 8 cm. If its side is doubled, then its new perimeter is:
(a) 64 cm
(b) 81 cm
(c) 121 cm
(d) none of these

8. The length and breadth of a rectangle are 10 cm and 8 cm respectively. If its length is doubled, then its new area is:
(a) 80 cm2
(b) 160 cm2
(c) 240 cm2
(d) none of these

9. The amount of surface enclosed by a closed figure is called its:
(a) perimeter
(b) area
(c) flat surface
(d) interior region

10. What is the perimeter of a regular pentagon whose each side measuring 5 cm?
(a) 10 cm
(b) 20 cm
(c) 15 cm
(d) 25 cm

11. What will be the cost of tilting a rectangular plot of area 800 sq.m, if the cost of tiling 100 sq.m is ₹ 6
(a) ₹ 14
(b) ₹ 48
(c) ₹ 4800
(d) ₹ 900

12. What is the length of the garden if area of rectangular garden of width 60 m is 300 sq.m?
(a) 900 m
(b) 90 m
(c) 18 m
(d) 5 m

13. The perimeter of a triangle whose sides are 5 cm, 2 cm and 3 cm.
(a) 30 cm
(b) 11 cm
(c) 17 cm
(d) 10 cm

14. What is the length of side of square whose area is 64 m2?
(a) 16 m
(b) 32 m
(c) 8 m
(d) 64 m

15. The perimeter of an isosceles triangle with equal sides of length 4 cm and third side of length 6 cm will be:
(a) 10 cm
(b) 8 cm
(c) 20 cm
(d) 14 cm

16. The perimeter of a rectangle is 130 m. If the breadth of the rectangle is 30 m, find its area.
(a) 640 m2
(b) 600 m2
(c) 700 m2
(d) none of these

17. The sides of a rectangle are in the ratio 5 : 4. If its perimeter is 72 cm then the length is:
(a) 20 cm
(b) 30 cm
(c) 40 cm
(d) none of these

18. The cost of putting a fence around a square field at ₹ 2.50 per metre is ₹ 200. The length of each side of the field is:
(a) 40 m
(b) 20 m
(c) 80 m
(d) none of these

19. The area of a rectangle is 650 cm2 and one of its sides is 13 cm. Find the perimeter of the rectangle.
(a) 120 cm
(b) 130 cm
(c) 126 cm
(d) none of these

20. A room is 5m 40 cm long and 3m 75cm wide. Find the area of the carpet needed to cover the floor.
(a) 20 m2
(b) 20.25 m2
(c) 21 m2

(d) none of these

Class 6 Maths Mensuration Match the following

Class 6 Maths Mensuration Very Short Answer Type Questions

1. Find the perimeter of the equilateral triangle whose each side is 7cm.
2. Find the length of a rectangle whose perimeter is 52 cm and breadth is 12 cm.
3. A rectangular carpet measures 3m 45cm by 2m 25cm . What is the perimeter of the carpet?
4. Leena bent a wire 132 cm long into a square. What is the length of the side of a square?
5. Find the perimeter of a triangle whose sides are 5cm, 7cm and 10cm.
6. Find the perimeter of a regular pentagon with each side measuring 7cm.

Class 6 Maths Mensuration Short Answer Type Questions

1. Find the cost of fencing a rectangular park of length 450m and breadth 300m at the rate of ₹ 32 per meter.
2. How much distance does a jogger cover if he runs 5 times around a rectangular Park 76m long and 35m wide?
3. A rope costing ₹ 8 per meter needs to be laid around a square field of side 150m. How much will the total rope cost?
4. Sweety runs around a square park of side 75m. Bulbul runs around a rectangular park with length 60m and breadth 45m. Who covers less distance?

Class 6 Maths Mensuration Long Answer Type Questions

1. How much would it cost to lay a wall to wall carpet in a room 10m long and 7m wide, with a carpet that costs ₹ 115 per m2.
2. How many tiles of 10cm by 6cm will be needed to pave a rectangular path of 5m by 3m?
3. Following figures are formed by joining six unit squares. Which figure has the smallest perimeter?

Grade 6 Maths Algebra

Algebra

Definition: Use of symbols and letters to represent numbers and operations.
Algebraic Expressions: Combinations of variables, constants, and operations.
- Example: $+ 5$ is an algebraic expression.
Solving Equations: Finding the value of a variable that makes an equation true.
- Example: In , $= 4$ .

Grade 6 Maths Algebra Multiple Choice Questions (MCQs)

1. Number of matchsticks required to make a pattern of “T”:
(a) 5
(b) 2
(c) 3
(d) 4

2. Number of matchsticks required to make a pattern of “U”:
(a) 5
(b) 2
(c) 3
(d) 4

3. Number of matchsticks required to make a pattern of “Z”:
(a) 5
(b) 2
(c) 3
(d) 4

4. Number of matchsticks required to make a pattern of “A”:
(a) 5
(b) 6
(c) 3
(d) 4

5. Perimeter of the square, whose each side is ‘n’ cm is:
(a) n + 4
(b) 4n
(c) n – 4
(d) $\frac{n}{4}$

6. Perimeter of an equilateral triangle, whose each side is ‘X’ unit is:

(a) 3x
(b) 3 – x
(c) $\frac{3}{x}$
(d) 3 + x

7. Diameter of circle whose radius is ‘r’ is:
(a) $\frac{r}{2}$
(b) 2r
(c) 2 – r
(d) 2 + r

8. x + y = y + x is
(a) Commutative property
(b) Associative property
(c) Closure property
(d) Distributive property

9. How many variables are used in the expression 2x + 3y + 5?
(a) 1
(b) 2
(c) 3
(d) 5

10. The expression for the statement: “y multiplied by 10 and then 7 added to product”.
(a) 10 + y + 7
(b) 7y + 10
(c) 10y + 7
(d) 10y

11. What is the statement for the expression 2y – 9?
(a) 2y subtracted from 9
(b) 9 subtracted from 2y
(c) 9 subtracted from 9
(d) thrice of y minus 9

12. p = 3 is a solution of equation:
(a) 2p + 5 = 17
(b) 5p + 2 = 17
(c) 2p + 17 = 5
(d) 5p + 17 = 2

13. The equation for the statement: one fourth of a number minus 4 gives 4.
(a) 4x – 4 = 4
(b) $\frac{4}{x}$ – 4 = 4
(c) $\frac{1}{4}$ x – 4 = 4
(d) x – 4 = $\frac{1}{4}$

14. a × (b + c) = a × b + a × c is
(a) Commutative property under addition
(b) Associative property under multiplication
(c) Distributive property of multiplication over addition
(d) Closure property

15. Which of the following is an equation?
(a) x – 3 > 0
(b) x + 3 < 0
(c) x
(d) x + 3 = 0

16. The value of variable in the expression is:
(a) fixed
(b) not fixed
(c) zero
(d) one

17. The value of p – q + pq for p = -1, q = -2 is:
(a) 0
(b) 1
(c) -5
(d) 3

18. Write the statements “If you subtract 5 from 6 times a number, you get 7.” in the form of equations:
(a) 6x – 5 = 7
(b) 5x – 6 = 7
(c) x – 5 = 7
(d) x – 6 = 7

19. Which is a solution of the equation 3x – 14 = 4?
(a) x = 2
(b) x
(c) x = 4
(d) x = 6

20. Write the statements “If you take away 6 from 6 times a number, you get 60” in the form of equations:
(a) 6x + 6 = 60
(b) 6x – 6 = 60
(c) x – 6 = 60
(d) none of these

Class 6 Maths Algebra Fill In The Blanks

1. The distance (in km) travelled in h hours at a constant speed of 40km per hour is …………….. .
2. ‘x ’ exceeds y by 7 can be expressed as ……………. .
3. The number of days in w weeks is ………………. .
4. r rupees = ……………… paise.
5. If 7x + 4 = 25, then the value of x is …………… .

Class 6 Maths Algebra Very Short Answer Type Questions

1. The price of 1 pen is ₹ 15 and the price of 1 pencil is ₹ 5. Write an expression for the total amount payable for buying x pens and y pencils.
2. The side of a square is x. Express the perimeter of the square using x.
3. If the radius of a circle is denoted by r, express its diameter in terms of r.
4. Express the associative property of addition of whole numbers using the variables x, y and z.
5. Give an expression for each of the following:
(a) The sum of b and 9
(b) Subtract 4 from x
(c) Multiply 5 by y
(d) 3 more than four times a number y.
(e) One-fifth of x added to the sum of a and b.
6. If x = 3, evaluate
(a) 2x = ………….
(b) 2x + 3 = ………….
(c) 3x – 2 = …………
7. If x = 3, y = -1, evaluate
(a) 2x + y = …………
(b) 3x – y = ………….
(c) 3x + 2y = ……….

Class 6 Maths Algebra Short Answer Type Questions

1. Complete the table and by inspection find the solution to the respective equations:
(a) m + 6 = 10
CBSE Class 6 Maths Algebra Worksheets 1
(b) 2m – 5 = -1

2. One fourth of a number is 8. Find the number.
3. Three times a number is 21. Find the number.
4. Which of the following are equations?
(a) 2x + 7 > 3x
(b) 3m < 15
(c) 5x + 2 = 12
(d) z + 13 < 16

Class 6 Maths Algebra Long Answer Type Questions

1. Pick out the solution from the values given in the bracket.
(a) p + 12 = 17(2, 5, 6, 8)
(b) $\frac{x}{7}$ = 2 (10, 11, 13, 14)
(c) r – 5 = 3 (2, 8, 7, 5)
2. Mother has made laddus. She gives some laddus to guests and family members; still 5 laddus remain. If the number of laddus mother gave away is l, how many laddus did she make?
3. A bus travels at v km per hour. It is going from Daspur to Beespur. After the bus has travelled 5 hours, Beespur is still 20 km away. What is the distance from Daspur to Beespur? Express it using ν.

Grade 6 Maths Ratio and Proportion

Ratio and Proportion

Definition: A ratio compares two quantities, and proportion shows that two ratios are equal.
Example of Ratio: The ratio of 4 apples to 5 oranges is $4 : 5$ .
Example of Proportion: If $= 4 : 6$ , then the two ratios are in proportion.

Grade 6 Maths Ratio and Proportion Multiple Choice Questions (MCQs)

1. If x, 30, 24 and 16 are in proportion then find the value of x.
(a) 45
(b) 60
(c) 80
(d) none of these

2. If 8, 18, 18 and x are in proportion then find the value of x.
(a) 405
(b) 40.5
(c) 81
(d) none of these

3. If 14, 16, x and 24 are in proportion then find the value of x.
(a) 105
(b) 10.5
(c) 21
(d) none of these

4. The mean proportion of 9 and 16 is:
(a) 3
(b) 12
(c) 33
(d) 11

5. The ratio of 90 cm to 1.5 m is …………….
(a) 3 : 5
(b) 5 : 3
(c) 60 : 1
(d) 4 : 3

6. 6 : 4 is the equivalent ratio of ………….
(a) 2 : 3
(b) 3 : 2
(c) 1 : 2
(d) 1 : 4

7. Fill in the blanks:- $\frac{15}{18}=\frac{\ldots . .}{6}$
(a) 5
(b) 4
(c) 3
(d) 2 + 7

8. Find the value of x in 4 : 3 = x : 12?
(a) 4
(b) 12
(c) 16
(d) 3

9. In proportion first and the last terms are called ……………

(a) mean terms
(b) extreme terms
(c) middle terms
(d) none of these

10. If the cost of 6 cans of juice is ₹ 210, then what is the cost of 4 cans of juice?
(a) ₹ 120
(b) ₹ 140
(c) ₹ 100
(d) ₹ 80

11. Which of the following is correct?
(a) 3 : 4 = 15 : 24
(b) 12 : 24 = 6 : 12
(c) 7 : 3 = 14 : 3
(d) 5 : 10 = 9 : 20

12. Find the value of x in 3 : 4 = x : 16?
(a) 4
(b) 16
(c) 12
(d) 3

13. Two quantities can be compared onlv if they are in the same …………….. .
(a) ratio
(b) units
(c) proportion
(d) none of these

14. The ratio is said to be not in simplest form if common factor is …………….. .
(a) 1
(b) Other than 1
(c) -1
(d) None of these

15. Fill in the blanks: 30, 40, ………….., and 60 are in proportion.
(a) 15
(b) 45
(c) 35
(d) 10

16. Fill in the blanks:- $\frac{36}{\dots}=\frac{72}{6}$
(a) 8
(b) 12
(c) 3
(d) 6

17. Divide 20 pens between Sheela and Sangeeta in the ratio of 3 : 2.
(a) 12, 8
(b) 11, 9
(c) 10, 10
(d) 14, 6

18. 36 : 84 is equivalent ratio of …………….
(a) 7 : 3
(b) 3 : 7
(c) 6 : 7
(d) 12 : 7

19. 6 bowls cost ₹ 90. What would be the cost of 10 such bowls?
(a) ₹ 300
(b) ₹ 150
(c) ₹ 200
(d) ₹ 250

20. The car that I own can go 150 km with 25 litres of petrol. Flow far can it go with 30 litres of petrol?
(a) 125 km
(b) 150 km
(c) 250 km
(d) none of these

Class 6 Maths Ratio and Proportion True(T) or False(F)

1. 4 : 7 = 20 : 35
2. If b : a = c : d, then a, b, c, d are in proportion.
3. The ratio 4 : 16 is in its lowest form.
4. The two terms of a ratio can be two different units.
5. The ratio of ₹ 8 to 80 paise is 1 : 10.

Class 6 Maths Ratio and Proportion Very Short Answer Type Questions

1. Present age of father is 42 years and that of his son is 14 years. Find the ratio of:
(a) Present age of father to the present age of son
(b) Age of the father to age of the son, when son was 12 years old
(c) Age of father after 10 years to the age of son after 10 years.
(d) Age of father to the age of son when father was 30 years old
2. Find the ratio of the following:
(a) 90 cm to 1.5 m
(b) 4 days to 2 weeks
(c) 60 paise to ₹ 3
(d) 50 minutes to 2 hours
(e) 3 dozen to 3 scores
(f) 3.5 litres to 700 ml
3. Express each of the following in its simplest form :
(a) 3 km: 1500 km
(b) 250 : 1000
(c) 34 : 85
(d) 4.8 m :240m
4. In a year Ravi earns ₹ 4,00,000 and saves ₹ 1, 50,000, find the ratio of
(a) money that Ravi earns to the money he saves.
(b) money that Ravi saves to the money he spends.

Class 6 Maths Ratio and Proportion Short Answer Type Questions

1. A piece of wire 40 cm in length is divided into two parts that are in the 3 : 5. Find the length of each part.
2. The ratio of Amit’s age to that of Reena’s age is 3 : 2. Complete the table that shows the possible ages of Amit and Reena.

3. The marked price of a table is ₹ 625 and its sale price is ₹ 500. What is the ratio of the sale price to the marked price?
4. A rectangular sheet of paper is of length 1.2 m and width 21 cm. Find the ratio of width of the paper to its length.

Class 6 Maths Ratio and Proportion Long Answer Type Questions

1. A scooter travels 120 km in 3 hours and a train travels 120 km in 2 hours. Find the ratio of their speeds.
2. Find two numbers whose sum is 100 and whose ratio is 9 : 6.
3. A metal pipe 3 metre long was found to weigh 7.6 kg. What would be the weight of the same kind of 7.8 m long pipe?

Grade 6 Maths Symmetry

Symmetry

Definition: A figure is symmetrical if it can be divided into identical halves.
Line of Symmetry: A line that divides a shape into two equal parts.
- Example: A square has 4 lines of symmetry.

Grade 6 Maths Symmetry Multiple Choice Questions (MCQs)

1. A parallelogram has …………… lines of symmetry:
(a) 0
(b) 1
(c) 2
(d) 3

2. Which of the following alphabets has line symmetry?
(a) P
(b) Z
(c) A
(d) Q

3. How many lines of symmetries are there in an equilateral triangle?
(a) 1
(b) 2
(c) 3
(d) 4

4. How many lines of symmetries are there in an isosceles triangle?
(a) 1
(b) 2
(c) 3
(d) 4

5. How many lines of symmetries are there in a rhombus?
(a) 1
(b) 2
(c) 3
(d) 4

6. How many lines of symmetries are there in a square?

(a) 1
(b) 2
(c) 3
(d) 4

7. How many lines of symmetries are there in a regular pentagon?
(a) 1
(b) 2
(c) 3
(d) 4

8. How many lines of symmetries are there in a rectangle?
(a) 1
(b) 2
(c) 3
(d) 4

9. Find the number of lines of symmetry of the following figure:
(a) 1
(b) 2
(c) 3
(d) 4

10. Find the number of lines of symmetry of the following figure:
(a) 1
(b) 2
(c) 3
(d) 4

11. Find the number of lines of symmetry in a regular hexagon.
(a) 6
(b) 2
(c) 3
(d) 4

12. Find the number of lines of symmetry in the below left figure.
(a) 1
(b) 2
(c) 3
(d) 4

13. Find the number of lines of symmetry in the above right sided figure.
(a) 1
(b) 2
(c) 3
(d) none of these

14. Find the number of lines of symmetry in the below left figure.
(a) 1
(b) 2
(c) 3
(d) 4

15. Find the number of lines of symmetry in the above right sided figure.
(a) 1
(b) 2
(c) 3
(d) 4

16. Find the number of lines of symmetry in a circle.
(a) 1
(b) 2
(c) 3
(d) none of these

17. Which of the following has no line of symmetry?
(a) S
(b) A
(c) U
(d) H

18. Which of the following has both horizontal as well as vertical line of symmetry?
(a) Z
(b) B
(c) P
(d) I

19. Find the number of lines of symmetry in a scalene triangle.
(a) 0
(b) 1
(c) 2
(d) 3

20. Which letter look the same after reflection when the mirror is placed vertically?
(a) Z
(b) P
(c) M
(d) N

Class 6 Maths Symmetry Fill In The Blanks

1. The number of lines of symmetry in a picture of Taj Mahal is …………… .
2. The number of lines of symmetry in a rectangle and a square are ……………. (equal/unequal).
3. The digits having only two lines of symmetry are ………….. and …………… .
4. The number of capital letters of the English alphabets having no line of symmetry is ………….. .
5. The number of lines of symmetry in a regular hexagon is ………………. .

C. Open your geometry box. There are some drawing tools. Observe them and complete the following table:

Number of the total	Number of lines of symmetry
1. The Ruler
2. The Divider
3. The Compasses
4. The Protractor
5. Triangular piece with two equal sides
6. Triangular piece with unequal sides

Class 6 Maths Symmetry Match the following

Shape	Number of lines of symmetry
1. Square	a. 5
2. Kite	b. 4
3. Equilateral triangle	c. 3
4. Rectangle	d. 2
5. Regular hexagon	e. 1
6. Scalene triangle	f. 0
7. Circle	g. 6
8. Regular pentagon	h. Infinitely many

Class 6 Maths Symmetry Short Answer Type Questions

1. Write all the capital letters of the English alphabets which have more than one lines of symmetry.
2. Draw the following shapes and find the number of lines of symmetry
(a) Equilateral triangle
(b) Rectangle
(c) Square
(d) Parallelogram
3. On Squared paper, sketch the following:
(a) A hexagon with exactly two lines of symmetry.
(b) A triangle that has no line of symmetry.

Class 6 Maths Symmetry Long Answer Type Questions

1. On Squared paper, sketch the following:
(a) A triangle with a horizontal line of symmetry but no vertical line of symmetry.
(b) A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry.

2. Write the letters of the word ‘MATHEMATICS’ which have no line of symmetry.
3. Write the number of lines of symmetry in each letter of the word ‘SYMMETRY’.

Grade 6 Maths Practical Geometry

Practical Geometry

Definition: Construction of geometrical shapes using a ruler and compass.
Constructing Line Segments and Angles: Drawing line segments of a given length and constructing angles using a protractor.
- Example: Drawing a line segment of 5 cm or constructing a 60° angle.

Grade 6 Maths Practical Geometry Multiple Choice Questions (MCQs)

1. Which geometrical instrument is used to draw line segments and to measure their lengths?
(a) ruler
(b) compasses
(c) divider
(d) set squares

2. Which geometrical instrument is used to draw perpendicular and parallel lines?
(a) ruler
(b) compasses
(c) divider
(d) set squares

3. Which geometrical instrument is used to compare lengths?
(a) protractor
(b) compasses
(c) divider
(d) set squares

4. Which geometrical instrument is used to draw and measure angles?
(a) protractor
(b) compasses
(c) divider
(d) set squares

5. Which geometrical instrument is used to mark off equal lengths but not to measure them and draw arcs and circles?

(a) protractor
(b) compasses
(c) divider
(d) set squares

6. Name the geometrical instrument having a pair—a pointer on one end and a pencil on the other.
(a) protractor
(b) compasses
(c) divider
(d) set squares

7. Name the geometrical instrument having a pair of pointers.
(a) protractor
(b) compasses
(c) divider
(d) set squares

8. Name the geometrical instrument having two triangular pieces.
(a) ruler
(b) compasses
(c) divider
(d) set squares

9. Name the geometrical instrument having a semi-circular device graduated into 180 degree-parts.
(a) protractor
(b) compasses
(c) divider
(d) set squares

10. A …………… is a simple closed curve all of whose points are at the same distance from a fixed point.
(a) circle
(b) diameter
(c) radius
(d) none of these

11. Which of the following angles cannot be constructed using ruler and compasses?
(a) 75°
(b) 15°
(c) 135°
(d) 85°

12. The instrument to measure an angle is a:
(a) ruler
(b) protractor
(c) divider
(d) compasses

13. The instrument to draw a circle is:
(a) ruler
(b) protractor
(c) divider
(d) compasses

14. Number of set squares in the geometry box is:
(a) 0
(b) 1
(c) 2
(d) 3

15. The line segment joining any two points on the circle is called …………….. .
(a) chord
(b) diameter
(c) radius
(d) none of these

16. A …………. is the longest chord of a circle.
(a) circle
(b) diameter
(c) radius
(d) none of these

17. The line segments forming a polygon are called ……………… .
(a) vertices
(b) sides
(c) angles
(d) curves

18. Number of lines which can be drawn from one point:
(a) one
(b) infinite
(c) two
(d) zero

19. A line has ………….. length.
(a) definite
(b) indefinite
(c) no
(d) none of these

20. The edge of a ruler draws …………… .
(a) ray
(b) line
(c) line segment
(d) curve

Class 6 Maths Practical Geometry True(T) or False(F)

1. With ruler and compasses, we can bisect any given line segment.
2. Only one perpendicular bisector can be drawn to a given line segment.
3. With a given centre and a given radius, only one circle can be drawn,
4. Using only the two set-squares of the geometry box, an angle of 40° can be drawn.
5. Infinitely many perpendiculars can be drawn to a given ray.
6. Using the set squares 30° – 60° -90″ and 45° – 45° – 90°, we can draw an angle of 75°.

Class 6 Maths Practical Geometry Very Short Answer Type Questions

1. Draw a line segment AB and then draw a perpendicular bisector of it.
2. Draw any angle. Construct a copy of the angle using ruler and compasses.
3. If A8 = 8.4cm and CD = 2.6cm, construct the following line segments.
(i) AB + CD
(ii) 2AB
(iii) AB – CD
4. Draw an angle of 50° with the help of a protractor. Draw a ray bisecting this angle.
5. Draw a circle with centre O and radius 4.8cm.
6. Draw a circle with centre O and radii 3.2cm and 4cm.
7. Draw a line segment AB. Produce it to AC so that AC = 3AB. Verify by measurement.
8. Draw a line segment PQ = 5.7cm. with PQ = 5.7cm as diameter, draw a circle.

Class 6 Maths Practical Geometry Short Answer Type Questions

1. Draw a circle with centre O and any radius. Draw its chord and name it AB. Draw the perpendicular bisector of AB. Does it pass through the centre of the circle?
2. Draw an angle of 150° and label it ∠XYZ. Construct its bisector. Measure each of the angles so obtained.
3. Use a protractor to draw ∠POQ = 80° Make a copy of it using a ruler and a compass.
4. Use a ruler and a compass to draw the following angles:
(a) 30°
(b) 45°

Class 6 Maths Practical Geometry Long Answer Type Questions

1. Draw a line AB. Mark a point P on it. Use a ruler and a compass to draw a perpendicular to AB through P.
2. Construct a line segment of 6.2cm. Bisect it and measure the length of each part.
3. Draw a line AB. Take a point P outside it. Through P draw a line perpendicular to AB.

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