CLASS 7 PRACTICE QUESTIONS

Fractions and Decimals

1. Which of the following fractions has denominator 8?
(a) $\frac{8}{3}$
(b) 1 $\frac{3}{5}$
(c) 1 $\frac{8}{3}$
(d) $\frac{3}{8}$

2. Which one of the followings is a proper fraction?
(a) $\frac{7}{5}$
(b) $\frac{3}{2}$
(c) $\frac{4}{7}$
(d) $\frac{4}{3}$

3. Which one of the followings is an improper fraction?
(a) $\frac{2}{3}$
(b) $\frac{5}{7}$
(c) $\frac{7}{4}$
(d) $\frac{1}{2}$

4. What is the value of $\frac{2}{3}+\frac{1}{3}+\frac{7}{3}$ ?
(a) $\frac{10}{3}$
(b) $\frac{10}{9}$
(c) $\frac{30}{3}$
(d) $\frac{10}{27}$

5. What is the value of $\frac{4}{5}-\frac{2}{3}$ ?
(a) $\frac{2}{2}$
(b) $\frac{14}{15}$

6. The value of $\frac{1}{2}$ of 24 is:
(a) 12
(b) $\frac{1}{12}$
(c) 48
(d) $\frac{1}{48}$

7. Which of the following product gives the value $\frac{78}{5}$ ?
(a) 3 × 5 $\frac{1}{5}$
(b) $\frac{1}{3}$
(c) 3 × $\frac{5}{26}$
(d) none of these

8. The reciprocal of 1 $\frac{2}{3}$ is:
(a) $\frac{3}{2}$
(b) 1 $\frac{3}{2}$
(c) $\frac{5}{3}$
(d) $\frac{3}{5}$

9. The value of 3 $\frac{1}{2}$ of $\frac{8}{3}$ is:
(a) 4
(b) $\frac{28}{3}$
(c) $\frac{9}{4}$
(d) $\frac{21}{16}$

10. The value of 4 $\frac{1}{3}$ of 3 is:
(a) 4
(b) 13
(c) $\frac{13}{9}$
(d) $\frac{9}{13}$

11. Which of the following is the least form of $\frac{18}{36}$ ?
(a) $\frac{3}{6}$
(b) $\frac{9}{18}$
(c) $\frac{1}{2}$
(d) $\frac{2}{1}$

12. What is the sum of 5.300 and 3.250?
(a) 8.550
(b) 85.50
(c) 5.6250
(d) 8550

13. What is the value of 29.35 – 04.56?
(a) 23.75
(b) 16.35
(c) 16.25
(d) 24.79

14. Which one of the following is greater?
(a) 5.0
(b) 0.5
(c) 0.005
(d) 0.05

15. Which one of the following is smaller?
(a) 2.031
(b) 2.301
(c) 0.2301
(d) 23.01

16. 5 cm in Km can be written as:
(a) 0.0005
(b) 0.00005
(c) 0.
17. The place value of 2 in 21.38 is:

(a) Ones
(b) Tens
(c) Tenth
(d) Hundredth

18. The value of 1.3 × 3.1 is:
(a) 403
(b) 0.403
(c) 4.03
(d) 0.0403

19. The value of 0.80 ÷ 5 is:
(a) 16
(b) 0.16
(c) $\frac{1}{16}$
(d) 1.6

20. The value of 7.75 ÷ 0.25 is:
(a) 31
(b) 0.0031
(c) 0.31
(d) 3.1

Grade 7 Maths Fractions and Decimals Fill In The Blanks

1. $\frac{1}{2}+\frac{2}{3}=$ $\square$

2. $\frac{5}{7}-\frac{2}{3}=$ $\square$
3. $\frac{2}{3} \times \frac{5}{7}=$ $\square$
4. $\frac{2}{3} \times \frac{9}{20}=$ $\square$
5. The two-third of 42 is ………….. .
6. 3 $\frac{3}{4}$ + $\square$ = 4

7. 12 – 2 $\frac{3}{4}$ = $\frac{\square}{4}$

8. 0.01 × 0.01 = $\square$
9. 3 $\frac{1}{5}$ ÷ 1 $\frac{2}{3}$ = $\square$
10. 7.75 ÷ 0.25 = $\square$

Grade 7 Maths Fractions and Decimals Very Short Answer Type Questions

Divide by $\frac{3}{4}$ . $\frac{15}{24}$
2. How long is 88.6 km than 48 km?
3. If cost of 20 pens is ₹ 356.80, then find the cost of a pen.
4. Express in kg:
(a) 4730g
(b) 8kg 4g
5. Convert:
(a) 0.25 into fraction
(b) 19/20 to decimal form
6. Each side of a square field is 5.5m. Find the perimeter of the square field.

Grade 7 Maths Fractions and Decimals Short Answer Type Questions

Karim had 20 toffees. He took these toffees with him to a picnic with four of his friends. Karim, along with friends, shared these toffees equally. How many toffees did each one get?
2. Kartikeya bought 5kg 500g apples and 3kg 250g of oranges. Shivani bought 4 kg 200g mangoes and 4 kg 500g guavas. Who bought more fruits and how much?
3. Soumya ate part of an apple and her younger brother Somu ate the remaining part. What part of the apple did Sonu eat? Who had the longer share and by how much?
4. Write the pictorial representation of shaded portion in the form of fraction.

Grade 7 Maths Fractions and Decimals Long Answer Type Questions

1. Simplify:
CBSE Class 7 Maths Fractions and Decimals Worksheets 2
2. How many pieces of length 2 $\frac{2}{5}$ metres can be cut from 6 $\frac{1}{5}$ metres of cloth?
3. A car covers a distance of 89.1 km in 2.2 hours. What is the average distance covered by it in 1 hour?

Grade 7 Maths Integers

Grade 7 Maths Integers Multiple Choice Questions (MCQs)

5 added to -5 gives:
(a) 10
(b) -10
(c) 0
(d) -25
Which of the following statements is true?
(a) 2 subtracted from -3 gives 1
(b) -1 subtracted from -5 gives 6
(c) 3 subtracted from -8 gives -11
(d) 1 subtracted from -7 gives -6
Absolute value of -11 is:
(a) 10
(b) -1
(c) 11
(d) -11
Which of the following numbers is to the right of -3 on number line?
(a) -4
(b) -2
(c) -5
(d) -6
Sum of two negative integers is always:
(a) Positive
(b) Negative
(c) 0
(d) 1
Which of the following numbers is greater than -1?
(a) -2
(b) -10
(c) 0
(d) -3
Which number is 5 more than -3?
(a) -2
(b) 2
(c) 8
(d) -8
The integer succeeding -9 is:
(a) -10
(b) 10
(c) -8
(d) 8
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
7 added to -1 gives:
(a) 6
(b) -6
(c) -8
(d) 8
Sum of -10, -5 and 12 is:
(a) 27
(b) -3
(c) 3
(d) -27
Which of the followings is in increasing order?
(a) 0, 1, -1
(b) -1, -2, -3
(c) -1, 0, 1
(d) -1, 1, -2
Sum of -36 and 29 is:
(a) -65
(b) 65
(c) -7
(d) 7
What will be the additive inverse of -1?
(a) -2
(b) -1
(c) 0
(d) 1
The pair of integers whose sum is -5:
(a) 1, -4
(b) -1, 6
(c) -3, -2
(d) 5, 0
The value of 6 – (-3) is:
(a) 3
(b) -9
(c) -3
(d) 9
Multiplication of -2, -7 and -10 gives:
(a) -34
(b) 19
(c) -140
(d) 90
Identify the property used in the following:
2 × 13 + 8 × 13 = (2 + 8) × 13
(a) Commutative
(b) Closure
(c) Associative
(d) Distributive
Which number is multiplicative identity for the whole numbers?
(a) 0
(b) 1
(c) 2
(d) 3
125 ÷ (-25) is equal to:
(a) 1
(b) 5
(c) -5
(d) 100

Grade 7 Maths Intege Fill in the blanks

1. 30 ÷ ………………… = 3
2. -89 ÷ ……………….. = 89
3. ……………. ÷ 1 = -205
4. ……………. × (-12) = 120
5. 24 + 12 ÷ 4 – 5 × 3 = ……………….

Grade 7 Maths Integers Match The Properties Of Integers

1. Distributive law over addition	a. a + 0 = a = 0 + a
2. Associative law for multiplication	b. a + b = b + a
3. Additive Identity	c. (a × b) × c = a × (b × c)
4. Commutative law over addition	d. a × 1 = 1 × a = a
5. Multiplicative Identity	e. a × (b + c) = a × b + a × c

Grade 7 Maths Integers Very Short Answer Type Questions

1. Find the value of p, if p × (-9) =135
2. Use the sign of >, < or = in the box to make the statement true.
25 – 40 + 10 $\square$ 25 – 40 – 10
3. Evaluate :
(-1) × (-2) × (-3) × (-4) × (-5)
4. With the help of number line find how much greater is the number 3 then -3

5. Pallavi got a scholarship of ₹ 1000 from her school. If she gives ₹ 550 for the help of flood relief, find the balance amount with her.
6. A building has 21 m height. A monkey can climb 3m in one jump. In how many jumps, would the monkey reach at the top of the building?

Grade 7 Maths Integers Short Answer Type Questions

1. An elevator descends into a mine shaft at the rate of 7m/min. If the descent starts from 5m above the ground level, how long will it take to reach -205 m?
2. The sum of two integers is -1500. One of the numbers is 599. Find the other number.
3. The product of two integers is -160. If one of them is 20, find the other.
4. What integers should be multiplied by (-12) to becomes -300?

Grade 7 Maths Integers Long Answer Type Questions

1. In a quiz, team A scored -30, 10, 5 and team B scored 10, 5, -30 in three successive rounds. Which team scored more?
2. In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer.
(i) Neha answered all the questions and scored 30 marks though she got 10 correct answers.
(ii) Ajay also answered all the questions and scored (-12) marks though he got 4 correct answers. How many incorrect answers had they attempted?
3. A shopkeeper earns a profit of ₹ 1 by selling one pen and incurs a loss of 40 paise per pencil while selling pencils of her old stock.
(i) In a particular month, she incurs a loss of ₹ 5. In this period, she sold 45 pens. How many pencils did she sell in this period?
(ii) In the next month, she earns neither profit nor loss. If she sold 70 pens, how many pencils did she sell?

Grade 7 Maths Data Handling

Grade 7 Maths Data Handling Multiple Choice Questions (MCQs)

The mean of the first five whole number is …………….. .
(a) 2
(b) 5
(c) 3
(d) 4
The mean of the first five natural number is ……………… .
(a) 2
(b) 5
(c) 3
(d) 4
The mean of the first seven natural number is ……………. .
(a) 2
(b) 5
(c) 3
(d) 4
The median of the first ten natural number is ……………… .
(a) 2.5
(b) 5.5
(c) 3.5
(d) 4.5
The median of the first ten prime number is ……………… .
(a) 2.5
(b) 5.5
(c) 3.5
(d) none of these
A cricketer scores the following runs in eight innings: 58, 76, 40, 35, 46, 45, 0, 100 What will be their mean score?
(a) 400
(b) 50
(c) 200
(d) 100
What will be the range of following data? 32, 41, 28, 54, 35, 26, 33, 23, 38, 40
(a) 25
(b) 23
(c) 31
(d) 54
Which observation in the following data has maximum frequency? 1, 1, 2, 4, 3, 2, 1, 2, 2, 4
(a) 4
(b) 3
(c) 1
(d) 2
The tallv mark shows frequency ………………. .
(a) 15
(b) 13
(c) 12
(d) none of these
A data can have ……………. mode.
(a) only one
(b) only two
(c) only three
(d) more than one
Median of the data 13, 16, 12, 14, 19, 12, 14, 13, 14 are:
(a) 14
(b) 19
(c) 12
(d) 13
There are 6 marbles in a box with number 1 to 6 marked on each of them. What is the probability of drawing a marble with number 2?
(a)
(b)
(c)
(d) 1
A coin is flipped to decide which team starts the game. What is the probability of your team will start?
(a)
(b)
(c) 1
(d) 0
A die is thrown once. What will be the probability of getting a prime number?
(a)
(b) 0
(c) 1
(d)
Median of the data 9, 8, 1, 2, 3, 6, 7, 5, 4 is ………………. .
(a) 5
(b) 9
(c) 6
(d) 4
A batsman scored the following number of runs in six innings: 36, 35, 50, 46, 60, 55 Find the mean runs scored by him in an inning.
(a) 50
(b) 49
(c) 46
(d) 47
The mean of the first ten old natural number is ……………… .
(a) 12
(b) 15
(c) 10
(d) 11
The median of the first ten even natural number is …………….. .
(a) 12
(b) 15
(c) 10
(d) 11
The mean of the first ten prime number is ……………….. .
(a) 12.5
(b) 12.9
(c) 12.8
(d) 14.5
The mode of the given set of numbers 2, 14, 16, 12, 14, 14, 16, 14, 10, 14, 18, 14 is:
(a) 12
(b) 14
(c) 16
(d) 11

Grade 7 Maths Data Handling Fill In The Blanks

Mean of first 5 natural numbers is ………………. .
2. Range of the data 12, 15, 7, 9, 16, 18 is ……………….. .
3. Median of the data 38, 40, 42, 48, 65, 72, 75 is ………………… .
4. Mode of the data 2, 3, 5, 6, 7, 3, 2, 9 is …………….. .
5. The data 6, 4, 3, 8, 9, 12, 13, 9 has mean ……………… .

Grade 7 Maths Data Handling True(T) Or False(F)

Mean of the data is always from the given data.
2. The range of the data 2, 9, 6, 5, 8 would change if 3 was added to each value in the data.
3. When a coin is tossed, there are two possible outcomes.
4. Probability of selecting you as a monitor within class is greater than one.
5. The median is always one of the numbers in a data.

Grade 7 Maths Data Handling Very Short Answer Type Questions

A die thrown once find the probability of the following (1 – 4):

Getting a number greater than 5.
2. Getting a prime number.
3 Getting an even natural number.
4. Getting a number less than 4.
5. If mean of 9, 5, 7, x, 6 is 6, find the value of x.
6. What is the range of the these integers?
20, 6, 18, -15, -12, 0

Class 7 Maths Data Handling Short Answer Type Questions

Study the bar graph given below and answer the questions that follow:

CBSE Class 7 Maths Data Handling Worksheets 2

In which subject the performance of student is best?
2. Calculate the average marks of the student.
3. If 75 and above marks denote a distiniction, then name the subjects in which the student got distinction.
4. Calculate the percentage of marks the student got out of 500.

Class 7 Maths Data Handling Long Answer Type Questions

The mean of 10 observations was calculated as 40. It was detected on rechecking that the value of 40 was wrongly copied as 10. Find the correct mean.
2. The following are weights (in kg) of 12 people.
70, 62, 54, 57, 62, 84, 75, 59, 62, 65, 78, 60
(a) Find the mean of the weights of the people.
(b) Flow many people weights above the mean weight?
(c) Find the range of the given data.
3. The Letters written on paper slips of the word “MEDIAN” are put in a bag. If one slip is draw randomly, what is the probability that it bears
(a) the letter ‘D’
(b) a vowel.

Grade 7 Simple Equations

Grade 7 Maths Simple Equations Multiple Choice Questions (MCQs)

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
Write the statements “One third of a number plus 5 is 8” in the form of equations:
(a) 3m + 5 = 8
(b) m + 5 = 8
(c) m + 5 = 8
(d) m + 8 = 5
Which is a solution of the equation x + 4 = 6?
(a) x = 2
(b) x = 3
(c) x = 4
(d) x = 6
Which is a solution of the equation 3x – 14 = 4?
(a) x = 2
(b) x = 3
(c) x = 4
(d) x = 6
Write the statements “2 subtracted from a number is 8” in the form of equations:
(a) x – 8 = 2
(b) x – 2 = 8
(c) x + 2 = 8
(d) none of these
Write the statements “If you take away 6 from 6 time 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
Write the statements “If you add 3 to one-third of a number, you get 30” in the form of equations:
(a) x + 3 = 30
(b) x + 3 = 30
(c) x + = 30
(d) none of these
The solution of the equation = 3 is m:
(a) 12
(b) 13
(c) 15
(d) none of these
The solution of the equation + 2 = 8 is p =
(a) 12
(b) 13
(c) 14
(d) 11
The solution of the equation 3p + 4 = 25 is p =:
(a) 5
(b) 6
(c) 4
(d) 7
The solution of the equation = 40 is p:
(a) 5
(b) 6
(c) 4
(d) 7
The solution of the equation 3n – 2 = 46 is n:
(a) 12
(b) 11
(c) 16
(d) none of these
Find a number, such that one fourth of the number is 3 more than 7.
(a) 40
(b) 20
(c) 30
(d) none of these
Raju’s father’s age is 5 years more than three times Raju’s age. Find Raju’s age, if his father is 44 years old.
(a) 12
(b) 13
(c) 15
(d) none of these
What is that number one third of which added to 5 gives 8?
(a) 11
(b) 10
(c) 9
(d) none of these
The solution of the equation 4(m + 3) = 18 is m =:
(a)
(b) 3
(c)
(d) none of these
The solution of the equation 34 – 5(p – 1) = 4 is p =:
(a) 5
(b) 6
(c) 4
(d) 7
Nine added to thrice a number a whole number gives 45. Find the number.
(a) 12
(b) 13
(c) 15
(d) none of these
Four-fifths of a number is greater than three-fourths of the number by 4. Find the number.
(a) 40
(b) 60
(c) 80
(d) none of these
Twice a number when decreased by 7 gives 45. Find the number.
(a) 26
(b) 23
(c) 25
(d) none of these

Grade 7 Maths Simple Equations Complete the last column of the table.

CBSE Class 7 Maths Simple Equations Worksheets 1

Grade 7 Maths Simple Equations Very Short Answer Type Questions

Solve the following equations

3x/8= 27
2. 5x + 3 = 4/3(1 +x)
3. 1 – 2 (2 – y) = 7
4. 0. 15 (5x – 2) = 0.4(x + 1)
5. x/3+ 3 = 30
6. x/4 – 4 = 4

Grade 7 Maths Simple Equations Short Answer Type Questions

Write equations for the following statements:
(a) The length of a rectangle is 5 more than its breadth and its perimeter is 250 m.
(b) One third of a number is 8 less than the three times of the number.
2. If x = y + 2, then find the value of y in equation $y-\frac{(x-2)}{2}=\frac{2}{3}$
Solve the following equations:
(a) 4 + 5(m – 1) = 34
(b) 0 = 16 + 4 (n – 6)
4. If the difference of two complementary angles is 10° then find measure of each angle.

Grade 7 Maths Simple Equations Long Answer Type Questions

Find the measure of such angle whose supplementary angle is 35° more than twice of its complementary angle.
2. The ratio of Nisha and Nishant ages in 4 : 5. After 10 years the father’s age will become 5 : 6. Find their present ages.
3. A father is 35 years more than his son’s age. After 5 years the father’s age will be twice of his son’s age.
Find the present age of both.

Grade 7 Maths Lines and Angles

Grade 7 Maths Lines and Angles Multiple Choice Questions (MCQs)

If two lines intersect at a point, then the vertically opposite angles are always …………….. .
(a) equal
(b) unequal
(c) supplementary
(d) Complementary
Two angles forming a linear pair are ……………… .
(a) equal
(b) supplementary
(c) unequal
(d) Complementary
A line that intersects two or more lines at distinct points is called:
(a) Parallel
(b) transversal
(c) intersecting
(d) none of these
If two adjacent angles are supplementary, then they form ……………… .
(a) corresponding angles
(b) vertically opposite angles
(c) a linear pair of angles
(d) a ray
If two angles are supplementary, then the sum of their measures is ……………… .
(a) 90°
(b) 180°
(c) 360°
(d) 45°
If two angles are complementary, then the sum of their measures is ……………. .
(a) 45°
(b) 180°
(c) 90°
(d) 360°
If || m, then ∠1 = ∠2 because they are ……………. ,
(a) corresponding angles
(b) vertically opposite angles
(c) alternate interior angles
(d) supplementary angles
If two parallel lines are cut by a transversal, each pair of the corresponding angles are ……………. in measure.
(a) equal
(b) unequal
(c) supplementary
(d) complementary
The difference in the measures’ of two complementary angles is 12°. Find the measures of the angles.
(a) 51° and 49°
(b) 51° and 39°
(c) 60° and 30°
(d) 50° and 40°
What is the measure of the complement of 41°?
(a) 139°
(b) 49°
(c) 35°
(d) 45°
Identify which of the following pairs of angles are complementary?
(a) 65°, 115°
(b) 63°, 27°
(c) 112°, 68°
(d) 130°, 50°
Identify which of the following pairs of angles are supplementary?
(a) 80°, 10°
(b) 63°, 27°
(c) 112°, 68°
(d) 45°, 45°
Find the angle, which is equal to its complement?
(a) 30°
(b) 25°
(c) 35°
(d) 45°
Find the angle, which is equal to its supplement?
(a) 60°
(b) 90°
(c) 180°
(d) none of these
The angle which is four times its complement is:
(a) 60°
(b) 30°
(c) 45°
(d) 72°
Which pair of following angles are complementary?
(a) 70°, 20°
(b) 75°, 25°
(c) 48°, 52°
(d) 45°, 55°
Which pair of following angles are supplementary?
(a) 110°, 50°
(b) 105°, 65°
(c) 50°, 130°
(d) 45°, 45°
What is complement of 63°?
(a) 18°
(b) 27°
(c) 30°
(d) 21°
Find the supplement of 105°.
(a) 80°
(b) 65°
(c) 75°
(d) 100°
Two lines PQ and RS intersect at O. If ∠POR = 50°, then value of ∠ROQ is:
(a) 120°
(b) 130°
(c) 90°
(d) 150°

Grade 7 Maths Lines and Angles Fill In The Blanks

Complementary angle of 65° is ………………. .
2. Supplementary angle of 45° is ……………….. .
3. If line AB||CD and LM is transversal, sum of two interior angles on the same side of transversal is equal to ………………… .
4. An angle is formed by the intersection of …………… .
5. If two lines intersect at a point and if one pair of vertically opposite angles arc acute angles, then the other pair of vertically opposite angles are ……………….. .

Grade 7 Maths Lines and Angles True(T) And False(F)

If measure of an angle is 90° then its supplement angle will be greater than 90°.
2. Two obtuse angles form a linear pair.
3. Two acute angles form a linear pair.
4. If two adjacent angles are complementary they form a right angle.
5. Sum of interior angles on the same side of a transversal with two parallel lines is 90°.

Grade 7 Maths Lines and Angles Very Short Answer Type Questions

In the given figures, decide whether a is parallel to b or not.

2. State the property that is used in each of the following statements:
(a) If l || m, then ∠4 = ∠8
(b) If ∠1 = ∠7, then l || m
(c) If ∠3 + ∠8 = 180°, then l || m
Grade 7 Maths Lines and Angles Short Answer Type Questions

Find the value of y in each of the following figure if a || b.

Grade 7 Maths Lines and Angles Long Answer Type Questions

Out of a pair of complementary angles, one is two third of the other. Find the angles.
2. In the following figure name the In fig, if a = 40°. Then what is the value of b.

3. In the following figure name the following pairs of angles:
(a) Obtuse vertically opposite angles.
(b) Adjacent complement angles.
(c) Equal supplementary angles.
(d) Unequal supplementary angles.
(e) Adjacent angles that do not form a linear pair.

Grade 7 Maths The Triangle and Its Properties

Grade 7 Maths The Triangle and Its Properties Multiple Choice Questions (MCQs)

How many medians a triangle can have?
(a) 2
(b) 1
(c) 3
(d) 0
A/an …………….. connect a vertex of a triangle to the mid point of the opposite side.
(a) altitude
(b) median
(c) vertex
(d) none of these
How many altitude can a triangle have?
(a) 1
(b) 2
(c) 3
(d) 4
Find the value of x in the adjoining figure.
(a) 50°
(b) 70°
(c) 120°
(d) 180°
Find the value of x
(a) 60°
(b) 110°
(c) 50°
(d) 180°
A triangle in which two sides are of equal lengths is called ………………….. .
(a) Equilateral
(b) Isosceles
(c) Scalene
(d) Acute angled triangle
In the Pythagoras property, the triangle must be …………….. .
(a) acute angled
(b) right angled
(c) obtuse angled
(d) none of these
Find the value of x in this figure.
(a) 40°
(b) 60°
(c) 35°
(d) 180°
Find the value’of x in given figure.
(a) 180°
(b) 55°
(c) 90°
(d) 60°
A triangle in which all three sides are of equal lengths is called ……………. .
(a) Equilateral
(b) Isosceles
(c) Scalene
(d) Acute angled triangle
∆ ABC is right-angled at C. If AC = 5 cm and BC = 12 cm find the length of AB.
(a) 7 cm
(b) 17cm
(c) 13 cm
(d) none of these
PQR is a triangle right angled at P. If PQ = 3 cm and PR = 4 cm, find QR.
(a) 7 cm
(b) 17 cm
(c) 13 cm
(d) none of these.
Which is the longest side in the triangle PQR right angled at P?
(a) PQ
(b) QR
(c) PR
(d) none of these.
Which is the longest side in the triangle ABC right angled at B?
(a) AB
(b) BC
(c) AC
(d) none of these.
Which is the longest side of a right triangle?
(a) perpendicular
(b) base
(c) hypotenuse
(d) none of these.
In a ∆ ABC, ∠A = 35° and ∠B = 65°, then the measure of ∠C is:
(a) 50°
(b) 80°
(c) 30°
(d) 60°
The hypotenuse of a right triangle is 17 cm long. If one of the remaining two sides is 8 cm in length, then the length of the other side is:
(a) 15 cm
(b) 12 cm
(c) 13 cm
(d) none of these.
How many acute angles can a right triangle have?
(a) 1
(b) 2
(c) 3
(d) 0
The acute angles of right triangle are in the ratio 2 : 1. Find the measure of each of these angles.
(a) 55° and 35°
(b) 60° and 30°
(c) 50° and 40°
(d) 45° and 45°
One of the angles of a triangle is 100* and the other two angles are equal. Find the measure of each of these equal angles.
(a) 45°
(b) 40°
(c) 41°
(d) 42°

Grade 7 Maths Lines and Angles Fill In The Blanks

Every triangle has at least ……………. acute angles.
2. The longest side of a right angled triangle is called its …………….. .
3. Median is also called …………….. in an equilateral triangle.
4. The line segment joining a vertex of a triangle to the mid-point of its opposite side is called its ……….. .
5. Measures of each of the angles of an equilateral triangle is ……………… .

Grade 7 Maths Lines and Angles True(T) And False(F)

Sum of two sides of a triangle is greater than or equal to the third side.
2. The difference between the lengths of any two sides of a triangle is smaller than the length of third side.
3. Sum of any two angles of a triangle is always greater than the third angle.
4. It is possible to have a right angled equilateral triangle.
5. It is possible to have a triangle in which two of the angles are right angles.

Grade 7 Maths Lines and Angles Very Short Answer Type Questions

Find the value of x:

5. If one angle of a triangle is 60° and the other two angles are in the ratio 1 : 2, then find the angles.
6. In figure find the value of ∠A + ∠B + ∠C + ∠D + ∠E + ∠F

Grade 7 Maths Lines and Angles Short Answer Type Questions

Find the value of x an y:

Here CD || AB
3.

Grade 7 Maths Lines and Angles Long Answer Type Questions

Two poles of 8m and 14m stand upright on a plane ground. If the distance between two tops is 10m. Find the distance between their feet.
2. Mohini walks 1200m due East and then 500m due North. How far is she from her starting point?
3. ABC is an equilateral triangle with side a. AD is an altitude. Find the value of AD.

Class 7 Maths Congruence of Triangles

Class 7 Maths Congruence of Triangles Multiple Choice Questions (MCQs)

Two angles are congruent if they have:
(a) Same name
(b) Equal measures
(c) Unequal measures
(d) None of these.
Which of the following is not a congruence criterion?
(a) SSS
(b) SAS
(c) ASA
(d) None of these
If a ∆ ABC ≅ ∆ PQR, then AB is equal to:
(a) QR
(b) PQ
(c) PR
(d) None of these
In ∆ ABC and ∆PQR, AB = 4cm, BC = 5cm, AC = 6cm and PQ = 4 cm, QR = 5cm, PR = 6cm, then which of the following is true:
(a) ∆ ABC ≅ ∆ QRP
(b) ∆ ABC ≅ ∆ PQR
(c) ∆ ABC ≅ ∆ PRQ
(d) ∆ ABC ≅ ∆ QPR
If ∆ DEF ≅ ∆ BCA, then the part of ∆ BCA that correspond to ∠E is:
(a) ∠A
(b) ∠B
(c) ∠C
(d) none of these
If ∆ DEF ≅ ∆ ACB, then the part of ∆ ACB that correspond to ∠F is:
(a) ∠A
(b) ∠B
(c) ∠C
(d) none of these
∆ ABC and ∆ PQR are congruent under the correspondence: ABC ↔ RQP, then the part of AABC that correspond to ∠P is:
(a) ∠A
(b) ∠B
(c) ∠C
(d) none of these
∆ ABC and ∆ PQR are congruent under the correspondence: ABC ↔ RQP, then the part of ∆ ABC that correspond to ∠Q is:
(a) ∠A
(b) ∠B
(c) ∠C
(d) none of these
∆ ABC and ∆ PQR are congruent under the correspondence: ABC ↔ RPQ, then the part of ∆ ABC that correspond to is:
(a)
(b)
(c)
(d) none of these
∆ ABC and ∆ PQR are congruent under the correspondence: BCA ↔ RPQ, then the part of ∆ ABC that correspond to is:
(a)
(b)
(c)
(d) none of these
∆ ABC and ∆ PQR are congruent under the correspondence: BCA ↔ RPQ, then the part of ∆ ABC that correspond to is:
(a)
(b)
(c)
(d) none of these
What is the side included between the angles A and B in ∆ ABC?
(a)
(b)
(c)
(d) none of these
∆ ABC is right triangle in which ∠A = 90° and AB = AC. The values of ∠B and ∠C will be:
(a) ∠B = ∠C = 60°
(b) ∠B = ∠C = 30°
(c) ∠B = ∠C = 45°
(d) ∠B = ∠C = 50°
If the vertical angle of a isosceles triangle is 40° then measure of other two angles will be:
(a) 60° 60°
(b) 70° 70°
(c) 50 50°
(d) 75° 75°
Which one of the following is the value of congruency?
(a) SAS
(b) ASS
(c) SSA
(d) none of these
What is the angle included between the sides PN and PM of AMNP?
(a) ∠N
(b) ∠P
(c) ∠M
(d) none of these
In triangles ABC and PQR, AB = 3.5 cm, BC = 7.1 cm, AC = 5 cm, PQ = 7.1 cm, QR = 5 cm and PR = 3.5 cm, then which of the following is true?
(a) ∆ ABC ≅ ∆ QRP
(b) ∆ ABC ≅ ∆ PQR
(c) ∆ ABC ≅ ∆ RPQ
(d) ∆ ABC ≅ ∆ QPR
In triangles ABC and DEF. AB = 7 cm. BC = 5 cm, ∠B = 50°, DE = 5 cm, EF = 7 cm, ∠E = 50° By which congruence rule the triangles are congruent?
(a) SAS
(b) RHS
(c) ASA
(d) SSS
It is to be established by RHS congruence rule that ∆ ABC ≅ ∆ RPQ. What additional information is needed, if it is given that ∠B = ∠P = 90° and AB = RP?
(a) AC = RQ
(b) ∠A = ∠P
(c) BC = QR
(d) none of these
If ABC and DEF are congruent triangles such that ∠A = 47° and ∠E = 83°, then ∠C =
(a) 50°
(b) 60°
(c) 70°
(d) 80°

Class 7 Maths Congruence of Triangles If ∆ PQR and ∆ LMN are congruent under the correspondence QPR ↔ LMN then fill up the blanks:

∠R = ………………
2. ∠P = ………………
3. ∠Q = ……………..
4. ∠QR = …………..
5. ∠QP = ……………
6. ∠RP = ………………

Class 7 Maths Congruence of Triangles True(T) And False(F)

If three corresponding angles of two triangles are equal then triangles are congruent.
2. The congruent figure super impose each other completely.
3. The top and bottom faces of a kaleidoscope are congruent.
4. Two figure are congruent, if both have the same shape.

Class 7 Maths Congruence of Triangles Very Short Answer Type Questions

In each of the given triangles applying only ASA congruence criterion, determine which triangles are congruent. Also write the congruent triangles in symbolic form.

Class 7 Maths Congruence of Triangles Short Answer Type Questions

In each of the given pair of triangles applying only SSS congruence criterion, determine which pairs of triangles are congruent. Also write the congruent triangles in symbolic form:

CBSE Class 7 Maths Congruence of Triangles Worksheets 3

Class 7 Maths Congruence of Triangles Long Answer Type Questions

If ∆ PQR is congruent to ∆ STU then what is the length of TU?

CBSE Class 7 Maths Congruence of Triangles Worksheets 4

2. A tree is broken at a height of 5m from the ground and its top touches the ground at a distance of 12m from the base of the tree. Find the original height of the tree.
3. The diagonals of a rhombus measure 16cm and 30cm. Find its perimeter.

Grade 7 Maths Comparing Quantities

Grade 7 Maths Comparing Quantities Multiple Choice Questions (MCQs)

Find the ratio of 3 km to 300 m.
(a) 10 : 1
(b) 1 : 10
(c) 1 : 5
(d) none of these
The car that I own can go 150 km with 25 litres of petrol. How far can it go with 30 litres of petrol?
(a) 125 km
(b) 150 km
(c) 250 km
(d) none of these
Find the ratio of Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour.
(a) 2 : 1
(b) 1 : 2
(c) 4 : 5
(d) None of these
72% of 25 students are good in hindi, how many are not good in hindi?
(a) 16
(b) 14
(c) 18
(d) 7
There are 25 radios, 16 of them are out of order. What percent of radios are out of order?
(a) 75%
(b) 64%
(c) 60%
(d) none of these
A survey of 40 children showed that 25% liked playing football. How many children not liked playing football?
(a) 90
(b) 60
(c) 30
(d) none of these
Out of 15,000 voters in a constituency, 60% voted. Find the number of voters who did note vote.
(a) 9000
(b) 6000
(c) 3000
(d) none of these
A school team won 6 games this year against 4 games won last year. What is the per cent increase?
(a) 75%
(b) 50%
(c) 60%
(d) none of these
How much will an item cost if 10% discount is given on the marked price ₹ 100
(a) 90
(b) 110
(c) 95
(d) 85
The price of a scooter was ₹ 34,000 last year. It has increased by 20% this year. What is the price now?
(a) ₹ 40,800
(b) ₹ 32,300
(c) ₹ 40,000
(d) none of these
Raghu bought an almirah for ₹ 6250 and spent ₹ 375 on its repairs. Then he sold it for ₹ 6890. Find his gain or loss percent.
(a) 5%
(b) 4%
(c) 6%
(d) 16§%
Selling price of a toy car is ₹ 540. If the profit made by shopkeeper is 20%, what is the cost price of this toy?
(a) ₹ 108
(b) ₹ 450
(c) ₹ 160
(d) none of these
A dealer purchased a washing for ₹ 7660. He allows a discount of 12% on its marked price and still gains 10%. Find the marked price of the machine.
(a) ₹ 9800
(b) ₹ 9675
(c) ₹ 9575
(d) none of these
Rashmi buys a calculator for ₹ 720 and sells it at a loss of 6%. For how much does she sell it?
(a) ₹ 700
(b) ₹ 650
(c) ₹ 672
(d) none of these
Find the simple interest on ₹ 2500 for 2 years 6 months at 6% per annum.
(a) ₹ 350
(b) ₹ 375
(c) ₹ 750
(d) none of these
At what rate per cent per annum will ₹ 1650 amount to ₹ 2046 in 3 years?
(a) 8%
(b) 4%
(c) 6%
(d) 16%
At what rate per cent per annum simple interest will a sum treble itself in 16 years?
(a) 12%
(b) 12.5%
(c) 15%
(d) 16%
In what time will ₹ 1600 amount to ₹ 1768 at 6% per annum simple interest?
(a) 1 years
(b) 2 years
(c) 1 years
(d) 1 years
At what rate per cent per annum simple interest will a sum be double itself in 8 years?
(a) 15%
(b) 14%
(c) 16%
(d) 12 %
At simple interest a sum becomes 1.5 times of itself in 5 years. The rate of interest per cent per annum is:
(a) 8%
(b) 5%
(c) 10%
(d) 12%

Grade 7 Maths Comparing Quantities Find the ratio of (in lowest from)

200g to 4 Kg ……………….
2. 80 Paise to ₹ 2 ……………
3. 30 days to 36 hours …………….
4. 12.8 m to 3.2 m ……………

Grade 7 Maths Comparing Quantities Express the following percents as the decimal fraction:

0.07%
2. 15%

Grade 7 Maths Comparing Quantities Express each of the following percents as fraction in the simplest form:

12 %
2. 75%

Grade 7 Maths Comparing Quantities Express each of the following fractions as percent:

5/4
2. 3/5

Grade 7 Maths Comparing Quantities Very Short Answer Type Questions

If 3 : x :: 9 : 15 then find the value of x.
2. Find 20% of ₹ 2500.
3. Find the whole quantity if 40% of it is 500 km.
4. In the market cost of 1 dozen bananas are ₹ 48. Find the cost of 10 bananas.
5. In a city, 35% are females, 45% are males and remaining are children. What % are children?

Grade 7 Maths Comparing Quantities Short Answer Type Questions

If the ratio of angles of a triangle is 2:3:4, then find the measure of these angles.
2. If 75% of x is 18 then find the value of x.
3. Chalk contains Calcium, Carbon and Oxygen in the ratio 10 : 3 : 12. Find the percentage of Carbon in chalk.
4. Compute the Simple Interest on a sum of ₹ 900 for 5 years at the ratio of 6% per annum.

Grade 7 Maths Comparing Quantities Long Answer Type Questions

The cost price of 8 books is equal to the selling price of 6 books. Find the gain per cent.
2. What principal will amount to ₹ 900 in 6 years at 10% Simple Interest?
3. There are 120 children live in Seemapuri ‘J’ Block. According to survey conducted in 2014, out of these 24 children do not go to school” Under the project “School Chale Hum” these students admitted in school on the basis of above statement answer the following questions.
(a) In 2014, how many children did not go to school?
(b) Under the Project “School Chale Hum” How many children admitted in school?

Grade 7 Maths Comparing Quantities

Grade 7 Maths Rational Numbers Multiple Choice Questions (MCQs)

Associative property is not followed in …………….
(a) whole numbers
(b) integers
(c) natural numbers
(d) none of these
……………….. is the identity for the addition of rational numbers.
(a) 1
(b) 0
(c) -1
(d)
………………. is the multiplicative identity for rational numbers.
(a) 1
(b) 0
(c) -1
(d)
The additive inverse of is:
(a) 1
(b) 0
(c) –
(d)
Zero has ……………. reciprocal.
(a) 1
(b) 2
(c) 3
(d) no
The numbers ……………. and ………….. are their own reciprocal.
(a) 1 and 0
(b) 1 and -1
(c) -1 and 0
(d) none of these
The reciprocal of -5 is ……………..
(a) 5
(b) 1
(c) –
(d)
The product of two rational numbers is always a …………………. .
(a) whole number
(b) integer
(c) natural number
(d) rational number
Simplify: $\frac{-4}{5} \times \frac{3}{7} \times \frac{15}{16} \times\left\{\frac{-14}{9}\right\}$
(a) 1
(b) 0
(c) 2
(d)
What number should be added to $\frac{7}{12}$ to get $\frac{4}{15}$ ?
(a) –
(b) –
(c)
(d)
The reciprocal of a positive rational number is …………….. .
(a) negative
(b) positive
(c) zero
(d) none of these
Which of the rational numbers is the smallest?
(a)
(b)
(c)
(d)
Rational number $\frac{3}{40}$ is equal to:
(a) 0.75
(b) 0.12
(c) 0.012
(d) 0.075
A rational number between 3 and 4 is:
(a)
(b)
(c)
(d)
Find x such that $\frac{-1}{5}$ = $\frac{8}{x}$
(a) -5
(b) -40
(c) any number
(d) none of these
Find x such that $\frac{-3}{8}$ and $\frac{x}{-24}$ are equivalent rational numbers.
(a) 3
(b) 9
(c) 8
(d) none of these
Find the value of (-6) ÷ $\frac{2}{3}$ .
(a) -9
(b) 9
(c) -4
(d) none of these
Rewrite the rational number $\frac{-18}{48}$ in the simplest form.(a) $\frac{-9}{24}$
(b) $\frac{-3}{8}$
(c) $\frac{-3}{8}$ (d) none of these
Write the next rational number in the pattern:

(a) $\frac{-4}{15}$
(b) $\frac{-4}{16}$
(c) $\frac{-4}{20}$
(d) none of these
Write the next rational number in the pattern:
(a) $\frac{12}{25}$
(b) $\frac{15}{25}$
(c) $\frac{-15}{25}$
(d) none of these

Grade 7 Maths Rational Numbers Fill in the boxes with the correct symbol out of >, < and =

Grade 7 Maths Rational Numbers Very Short Answer Type Questions

Simplify:

1. $\frac{(-4)}{9} \times \frac{3}{5} \times \frac{(-9)}{10}$
2. $\left[\frac{2}{7}+\frac{3}{49}\right]\left[\frac{-7}{15}\right]$
3. $\frac{2}{3}+\frac{3}{4}+\frac{1}{12}$
4. (4.3 – 2.3) × 6.3
5. $\left[\frac{-28}{27}\right] \div\left[\frac{-5}{9}\right]$
6. $\frac{-4}{5}$ ÷ (-3)

Grade 7 Maths Rational Numbers Short Answer Type Question

1. Which is greater in the following numbers?
-3 $\frac{2}{7}$ , -3 $\frac{4}{5}$
2. The product of two rational numbers is $\frac{-4}{5}$ . If one of them is $\frac{8}{35}$ , find the other.

3. Arrange $\frac{-7}{8}, \frac{-5}{6}, \frac{-3}{4}$ in the ascending order.
4. Find the reciprocal of $\frac{-7}{26}+\left(\frac{-11}{39}\right)$

Grade 7 Maths Rational Numbers Long Answer Type Questions

1.
(a) What should be added to $\frac{-5}{8}$ to get $\frac{2}{9}$
(b) Find three rational between 0 and 1.
2. Jaspal donates $\left(\frac{1}{5}\right)^{t h}$ part of his monthly income and deposited $\left(\frac{1}{6}\right)^{t h}$ part in the bank and expenditure the remaining income.
(a) Find the part of expenditure of his monthly income.
(b) State two good habits of Jaspal mentioned on the basis of above questions.
3. Satpal walks $\frac{2}{3}$ km from a place P, towards east and then from there 1 $\frac{5}{7}$ km towards west. Where will he be now from P?

Grade 7 Maths Practical Geometry

Grade 7 Maths Practical Geometry Multiple Choice Questions (MCQs)

A triangle can be constructed by taking its sides as:
(a) 1.4 cm, 3.2 cm, 4.6 cm
(b) 2.3 cm, 3.2 cm, 5.5 cm
(c) 1.8 cm, 1.8 cm, 5 cm
(d) 2 cm, 3 cm, 4 cm
A triangle can be constructed by taking two of its angles with any side as:
(a) 120°, 30°
(b) 70°, 120°
(c) 90°, 90°
(d) 60°, 120°
Which geometrical instrument can be used to draw an arc:
(a) Scale
(b) Compass
(c) Set square 30°, 60°, 90°
(d) Set square 45°, 45°, 90°
How many lines can be drawn parallel to a given line, through a point outside the given line?
(a) Two
(b) One
(c) Many lines
(d) None
In a AABC it is given that ∠B = 37° and ∠C = 29°. Then the value of ∠A is:
(a) 86°
(b) 66°
(c) 114°
(d) 57°
The sum of any two sides of a triangle is always:
(a) Equal to the third side
(b) Less than the third side
(c) Greater than or equal to the third side
(d) Greater than the third side
∆ ABC is right angled at A. If AB = 24cm and AC = 7cm, then the value of BC is:
(a) 31cm
(b) 17cm
(c) 25cm
(d) 28cm
The angles of a triangle are (3x)°, (2x – 7)° and (4x – 11)°, than the value of x
(a) 18
(b) 20
(c) 22
(d) 30
In a ∆ ABC if ∠A – ∠B = 33° and ∠B – ∠C = 18°. then the value of ∠B is:
(a) 35°
(b) 45°
(c) 55°
(d) 57°
In a ABC if 2∠A = 3∠B = 6∠C. Then the value of ∠B is:
(a) 30°
(b) 45°
(c) 60°
(d) 90°

Grade 7 Maths Practical Geometry Fill In The Blanks

………….. line (s) can be drawn parallel to a given line.
2. ………….. sides and the …………….. angle between them are enough to construct a triangle.
3. ………….. angles and the ………….. side included between them is enough to construct a triangle.
4. For construction of a triangle, the sum of three angles of a triangle should be ……………….. .
5. The ………………… angle of a triangle is equal to the sum of interior opposite angles.

Grade 7 Maths Practical Geometry Very Short Answer Type Questions

Draw two parallel lines at a distance of 5 cm apart.
2. Draw a triangle whose side are of length 4 cm, 5 cm and 6 cm.
3. Construct an obtuse angled triangle which has a base of 5 cm and base angles of 30° and 110°.
4. Construct a triangle ABC whose sides AB = 3 cm, BC = 4 cm and ∠B = 60°.

Grade 7 Maths Perimeter and Area

Grade 7 Maths Perimeter and Area Multiple Choice Questions (MCQs)

The area of a rectangular sheet is 500 cm2. If the length of the sheet is 25 cm, what is its width?

(a) 20 cm
(b) 17 cm
(c) 30 cm
(d) 25 cm

Which figure encloses more area: a square of side 2 cm; a rectangle of side 3 cm & 2 cm; An equilateral triangle of side 4 cm?
(a) rectangle
(b) square
(c) triangle
(d) same of rectangle & square

The area of parallelogram is:
(a) base + height
(b) base × height
(c) base × base
(d) height × height
Which of the following has the formula: Base × Height
(a) area of parallelogram
(b) area of quadrilateral
(c) area of triangle
(d) area of trapezium
If the area of the triangle is 36 cm2 and the height is 3 cm, the base of the triangle will be:
(a) 12 cm
(b) 39cm
(c) 108 cm
(d) 24 cm
The perimeter of square of side 2.55 m is:
(a) 10.2 m
(b) 10.2 m2
(c) 6.25 m2
(d) 6.25 m
Area of triangle whose base is 15 cm and corresponding altitude is 6 cm will be:
(a) 45 cm2
(b) 90 cm2
(c) 45 cm
(d) 90 cm
The circumference of circle whose diameter is 14 cm will be:
(a) 44 cm
(b) 88 cm
(c) 44 cm2
(d) 88 cm2
If the area of circle is 44 cm2, the area of shaded portion will be:
(a) 11 cm2
(b) 11 cm2
(c) 22 cm2
(d) 22 cm2
The diameter of a circle is:
(a) r2
(b) 2r
(c) 2πr3
(d) πr2
1 m2 = ………………
(a) 100 cm2
(b) 1000 cm2
(c) 10000cm2

(d) 10000 cm2

The value of constant π is:

(a) 31.4
(b) $\frac{22}{7}$
(c) $\frac{7}{22}$
(d) 314
The difference between the circumference and radius of a circle is 37 cm. The area of the circle is:
(a) 111 cm2
(b) 184 cm2
(c) 154 cm2
(d) 259 cm2
On decreasing the radius of the circle by 30%, its area is decreased by:
(a) 30%
(b) 60%
(c) 45%
(d) none of these
The diameter of a wheel is 40 cm. How many revolutions will it make on covering 176 m?
(a) 140
(b) 150
(c) 160
(d) 166
Find the area of a circle whose circumference is 52.8 cm.
(a) 221.76 cm2
(b) 220.76 cm2
(c) 200.76 cm2
(d) none of these
If the perimeter of a semicircular protractor is 36 cm, find the diameter.
(a) 14 cm
(b) 16 cm
(c) 18 cm
(d) 12 cm
A wire is in the shape of a square of side 10 cm. If the wire is rebent into a rectangle of length 12 cm, find its breadth.
(a) 12 cm
(b) 7 cm
(c) 8 cm
(d) 9 cm
Find the area of the shaded region in the adjacent figure, take π = 3.14
(a) 75 cm2
(b) 72 cm2
(c) 70 cm2
(d) none of these
The area of a square and a rectangle are equal. If the side of the square is 40 cm and the breadth of the rectangle is 25 cm, find the length of the rectangle.
(a) 60 m
(b) 62 m
(c) 64 m
(d) 68 m
Grade 7 Maths Perimeter and Area Fill In The Blanks
1. 10000 m2 = ………………. hectare.
  2. 1 m2 = ……………. cm2.
  3. Perimeter of a regular polygon = length of one side × ………………. .
  4. The distance around a circle is its ……………… .
  5. If a wire in the shape of the square is rebent into a rectangle, then the …………….. of both shapes remain same, but …………………. may vary.
Grade 7 Maths Perimeter and Area True(T) or False(F)
1. All the triangles that are equal in area are congruent.
  2. All congruent triangles are equal in area.
  3. Ratio of the circumference and the diameter of a circle is more than 3.
  4. figure (b) has greater perimeter than figure (a)
  5. If the area of rectangle increases from 2 cm2 to 4 cm2., then perimeter will remains same.
Grade 7 Maths Perimeter and Area Very Short Answer Type Questions
Complete the following Table:
Grade 7 Maths Perimeter and Area Short Answer Type Questions
1. Perimeter of a square park is 2000m. Find its area.
2. A rectangular plot is 75 metre long and 60 metre broad. It has a path of width 2 metre all around it inside. Find the area of the path.
3. From a circular sheet of radius 4cm, a circle of radius 3cm is removed. Find the area of the remaining sheet (Take π = 3.14).
4. The ratio of radii of two circles is 4:5. Find the ratio of their areas.

Grade 7 Maths Perimeter and Area Long Answer Type Questions
1. A shopkeeper sells two kinds of ‘Till Patti’. A square ‘Till Patti’ of side 19 cm cost ₹ 25 and a circular ‘Till Patti’ of diameter 21cm cost ₹ 25 which Till Patti is a better deal and why?
2. Find the area of the shaded region in the following figures:

3. The Taj Mahal was created in the 17th century by Emperor Shah Jahan to honour the memory of his beloved wife Mumtaz Mahal. The design of the Taj Mahal is based on the number, four and its multiples.
4. The garden at the Taj Mahal was laid out in four squares of the same size. Each square was divided into four flower beds, with 400 flowers in each bed. How many flowers was in the garden?

Grade 7 Maths Algebraic Expressions

Grade 7 Maths Algebraic Expressions Multiple Choice Questions (MCQs)

Write the expression for the statement: the sum of three times x and 11?
(a) x + 3 + 11
(b) 3x + 11
(c) 3 + 11x
(d)3x – 11
Identify the coefficient of x in expression 8 – x + y
(a)0
(b) 8
(c) -1
(d) 1
The number of terms in 4p2q – 3pq2 + 5 is:
(a) 7
(b) 3
(c) 1
(d) 4
The expression for sum of numbers a and b subtracted from their product is:
(a) a + b – ab
(b) ab – a + b
(c) ab – (a + b)
(d) ab + a – b
The constant term in the expression 1 + x2 + x is:
(a) 1
(b) 2
(c) x
(d) x2
What is the numerical coefficient of y2 in the expression 2x2y – 15xy2 + 7y?
(a) -15x
(b) -15
(c) 2
(d) 7
The expression x + y – xy is:
(a) Monomial
(b) Binomial
(c) Trinomial
(d) Quadrinomial
The expression xyz is:
(a) Monomial
(b) Binomial
(c) Trinomial
(d) Zero polynomial
From the following expressions 10pq, 7p, 8q, -p2q2, -7pq, -23, ab, 3a, b. The like terms are:
(a) 3, 7p
(b) 10pq, -7pq
(c) ab, 3a, b
(d) 10pq, 7p, 8q
From the following expressions 3ab, a2, b2, a, 5ab, -2ab, 2a2 the three like terms are:
(a) 3ab, 5ab, -2ab
(b) a2, a, 2a2
(c) 3ab, a2, b2
(d) 2a2, a2, a
The value of 21b – 32 + 7b – 20b is:
(a) 48b – 32
(b) -8b – 32
(c) 8b – 32
(d) 28b – 52
The value of expression 7a – 4b for a = 3, b = 2 is:
(a) 13
(b) 7a – 6b
(c) 21a – 8b
(d) 29
Factors of the term 15x2 in the expression 15x2 – 13x are:
(a) 15, x, x
(b) 15, -13
(c) 15x2, -13x
(d) 15
Factors of the terms -4pq2 in the expression 9p2q2 – 4pq2 are:
(a) 9p2q2, -4pq2
(b) 9, -4
(c) -4, p, q, q
(d) -4
The value of expression 5n2 + 5n -2 for n = -2 is:
(a) 13
(b) 3
(c) 8
(d) 12
What must be subtracted from 2a + b to get 2a – b?
(a) 2b
(b) 4a
(c) 0
(d) 4a + 4b
On simplifying (a + b – 3) – (b – a + 3) + (a – b + 3) the result is:
(a) a – b + 3
(b) a – b – 3
(c) 3a – b – 3
(d) 3a + b + 3
What should be value of ‘a’ if y2 + y – a equals to 3 for y = 1
(a) -1
(b) -5
(c) 5
(d) 0
What is the statement for the expression 2y – 9?
(a) 2y subtracted from 9
(b) 9 subtracted from y and multiplied by 2
(c) 9 subtracted from 9
(d) twice of y minus 9
The equation for the statement: one forth 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 = $\frac{1}{4}$

Grade 7 Maths Algebraic Expressions Fill In The Blanks

1. The numerical coefficient of a in -3ab is ……………… .
2. Number of terms in the expression 3x 3. Algebraic expression for 5 subtracted from the product of 2x and 3y is ……………… .
4. The like terms in a3. Algebraic expression for 5 subtracted from the product of 2x and 3y is ……………… .

4. The like terms in a2b, – 5ab, 5ba2 is ……………… .
5. Product of 5m2n and -3m3n2 is …………….. .
6. The product of x(xy – xy2) is ……………….. .
7. Sum of 2a2 – 3ab + 5b2, -3a2 + 4ab + 3b2 is …………….. .
8. The value of the 2a3 + 3a2 + 2a – 7 when a= -2 is ………………. .
9. Number of diagonals we can draw from one vertex of a quadrilateral is ……………….. .
10. Number of diagonals we can draw from one vertex of a pentagon is …………………
Class 7 Maths Algebraic Expressions Very Short Answer Type Questions
1. Pallavi spends ₹ x daily and saves ₹ y per day. What is her income after 3 weeks?
  2. If P = -10, find the value of P2 – 2P – 100.
  3. If a + b = 6, then find the value of $\frac{1}{2} a+\frac{1}{2} b$ .
  4. Add 4x2y, 8x2y and -2x2y.
  5. How many diagonals we can draw from one vertex of a polygon of ‘n’ sides?
  6. How many diagonals we can draw from one vertex of a heptagon?
  Class 7 Maths Algebraic Expressions Short Answer Type Questions
  1. What should be added to a2 + ab + b2 to obtain 4ab + b2?
    2. The length of a rectangular field is 6m less than three times its breadth. Find the dimensions of the rectangle if its perimeter is 148 m.
    3. Collect like terms and simplify the expression:
    12m2 – 9m + 5m – 4m2 – 7m + 10
    4. What should be subtracted from a3 – 4a2 + 5 a to obtain a2 – 2a + 1?
  Class 7 Maths Algebraic Expressions Long Answer Type Questions
  1. 1. From the sum of 5y2 + 7yz, -5y2 – yz – z2 and 4yz + 3z2, subtract the sum of 5y2 – 3z2 and 8y2 + yz – 6z2.
      2. In an isosceles triangle, the base angles are equal, the vertex angle is twice either the base angle. What are the degree measures of the angles of triangle?
      3. A bag contains 25 paise and 50 paise coins whose total values is ₹ 30. If the total number of 25 paise coins is four times that of 50 paise coins, find the number of each type of coins.

Grade 7 Maths Exponents and Powers

Grade 7 Maths Exponents and Powers Multiple Choice Questions (MCQs)

Express 729 as a power of 3.
(a) 35
(b) 36
(c) 93
(d) none of these
The value of (-1)55 is:
(a) -1
(b) 1
(c) 0
(d) none of these
The value of (-1)500 is:
(a) -1
(b) 1
(c) 0
(d) none of these
Simplify and write in exponential form of 22 × 25
(a) 23
(b) 27
(c) 128
(d) none of these
Simplify and write in exponential form of (-4)100 × (-4)20.
(a) (-4)120
(b) (-4)80
(c) (-4)2000
(d) none of these
The exponent in the expression 37 is ……………. .
(a) 1
(b) 7
(c) 0
(d) 3
The value of 3° is ………….. .
(a) 0
(b) 3
(c) 1
(d) none of these
Multiplicative inverse of is …………… .
(a) 49
(b) 5
(c) 7
(d) -14
Fill in the Blank am ÷ an = a….. Where m and n are natural numbers:-
(a) mn
(b) m + n
(c) m – n
(d) m ÷ n
Express (2a)4 in exponential form.
(a) 4a3
b) 16a4
(c) 2a4
(d) 8a4
In simplified form (3° + 4° + 5°)° is equals to:
(a) 12
(b) 3
(c) 12
(d) 1
The approximate distance of the moon from the earth is 384, 467, 000 m and in exponential form this distance can be written as …………….. .
(a) 3.84, 467 × 108 m
(b) 384, 467 × 10-8 m
(c) 384, 467 × 10-9 m
(d) 3.844, 67 × 10-13 m
7 × 10-5 m is the standard form of which of the following ……………. .
(a) 0.0007 m
(b) 0.000007 m
(c) 0.0000007 m
(d) 0.00007 m
Fill in the blank: (-1)even number = ……………… .
(a) 2 × (-1)
(b) 1
(c) 0
(d) -13
Fill in the blank: (-1)odd number = …………….. .
(a) 1
(b) -1
(c) 2
(d) 0
value of (3° + 2°) × 5° is
(a) 1
(b) 25
(c) 2
(d) 0
The Base in the expression 810 is …………….. .
(a) 10
(b) 2
(c) 8
(d) 800
Usual form of the expression 9 × 10-5 is given by …………….. .
(a) 0.00009
(b) 0.000009
(c) 90 × 10-4
(d) 0.09 × 10-3
64 in exponential form is …………… .
(a) 26
(b) 62
(c)42
(d) 24
1024 in exponential form is …………… .
(a) 22
(b) 162
(c)1/210
(d) none of these
Grade 7 Maths Exponents and Powers Fill In The Blanks

1.

2. (-3) × (-3)4 = …………… .
What power 2 is 32? ……………… .
4. Value of $\left[\left(\frac{2}{3}\right)^{2}\right]^{3}$ is …………….. .
5. The standard form of 2156000 is ……

Grade 7 Maths Exponents and Powers Match of column:

Column I

Column II

1. xm × xn

a. xmn

2. xm ÷ xn

b. 1

3. (xm)n

c. (xy)n

4. xn × xn

d. xm – n(m > n)

5. x °

e. xm + n

Grade 7 Maths Exponents and Powers Very Short Answer Type Questions

Write in the standard form:
1. The distance between Earth and Moon is 384,000 km.
  2. Speed of light in vacuum is 300,000,000 m/s.
  3. 0.0034256
  Find the value of:
  4. 2° × 3° × 4°
  5. (7° ÷ 30) × (8°- 5°)
  6. 4° × 6° + 100°
  Grade 7 Maths Exponents and Powers Short Answer Type Questions
  
  a. Evaluate:
  
  1. Find the value of x:
  
  2. Find the value of a:
2. b. Find the value of x:
  
  3. 5 $\left\{\frac{2}{5}\right\}$ = 5x
  4. (26 ÷ 2-3) × 2 = 2x
  
  Grade 7 Maths Exponents and Powers Long Answer Type Questions
  
  1. Simplify and write the answer in scientific rotation :
  (a) (5 × 103) × (3 ×105(b) $\frac{4.5 \times 10^{6}}{0.9 \times 10^{5}}$
3. 2. Find m for the following:
  (a) $\left(\frac{8}{9}\right)^{5} \times\left(\frac{9}{4}\right)$ = (2)m2
  (b) (7)3 ÷ (2)m = $\left(\frac{7}{2}\right)^{3}$

Grade 7 Maths Symmetry

Grade 7 Maths Symmetry Multiple Choice Questions (MCQs)

The mirror image of ‘W’, when the mirror is placed vertically:
(a) V
(b) M
(c) S
(d) W
How many lines of symmetries are there in an equilateral triangle?
(a) 1
(b) 2
(c) 3
(d) 4
How many lines of symmetries are there in a rhombus?
(a) 1
(b) 2
(c) 3
(d) 4
How many lines of symmetries are there in a regular pentagon?
(a) 3
(b) 2
(c) 5
(d) 4
How many lines of symmetries are there in a rectangle?
(a) 1
(b) 2
(c) 3
(d) 4
Find the number of lines of symmetry of the following figure:
(a) 1
(b) 2
(c) 3
(d) 4
Find the number of lines of symmetry of the following figure:
(a) 1
(b) 2
(c) 3
(d) 4
Find the number of lines of symmetry in regular hexagon.
(a) 2
(b) 4
(c) 6
(d) 5
Letter ‘E’ of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about.
(a) a vertical mirror
(b) a horizontal mirror
(c) both (a) and (b)
(d) none of these
Letter ‘G’ of the English alphabet has reflectional symmetry (i.e., symmetry related to mirror reflection) about.
(a) a vertical mirror
(b) a horizontal mirror
(c) both (a) and (b)
(d) none of these
Letter ‘I’ of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about.
(a) a vertical mirror
(b) a horizontal mirror
(c) both (a) and (b)
(d) none of these
Letter ‘T’ of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about.
(a) a vertical mirror
(b) a horizontal mirror
(c) both (a) and (b)
(d) none of these
Find the number of lines of symmetry in a circle.
(a) 1
(b) 2
(c) 3
(d) none of these
Which of the followings has no line of symmetry:
(a) S
(b) A
(c) U
(d) H
Which letter look the same after reflection when the mirror is placed vertically.
(a) S
(b) P
(c) Q
(d) H
The order of the rotational symmetry of the parallelogram about the centre is:
(a) 0
(b) 1
(c) 2
(d) 3
The order of the rotational symmetry of the below left figure about the point marked ‘x’
(a) 0
(b) 1
(c) 2
(d) 3
The order of the rotational symmetry of the above sided right figure about the point marked ‘x’
(a) 0
(b) 1
(c) 2
(d) 3
The order of the rotational symmetry of the below left figure about the point marked
(a) 0
(b) 1
(c) 2
(d) 3
The order of the rotational symmetry of the above sided right figure about the point marked ‘x’
(a) o
(b) 1
(c) 2
(d) 3

Grade 7 Maths Symmetry Fill In The Blanks

Rotation turns an object above a fixed point. This fixed point is called …………… .
2. Order of rotational symmetry of a circle is …………… .
3. Rhombus is a figure that has ……………. lines of symmetry and has a rotational symmetry of order …………….. .
4. ……………….. is a figure that has neither a line of symmetry non a rotational symmetry.
5. There is/are ………………… lines of symmetries in an isosceles triangle.

Grade 7 Maths Symmetry True(T) Or False(F)

A regular pentagon has no lines of symmetry.
2. A scalene triangle has no line of symmetry.
3. Mirror reflection always leads to symmetry.
4. The number of lines of symmetry of a regular polygon is equal to the vertices of the polygon.
5. An angle has two line symmetry.

Grade 7 Maths Symmetry Very Short Answer Type Questions

Draw all the lines of symmetry for the following letters of they exist.

2. Tell whether each figure has rotational symmetry or not.

Grade 7 Maths Symmetry Short Answer Type Questions

Angle of rotation of a figure is 40°. What is the number of lines of symmetry?
2. What is the centre of rotation of an equilateral triangle?
3. In the given figure:
(a) Find the order of rotational symmetry.
(b) Find the degree measure of the angle of rotation.

4. Draw all lines of symmetry for each of the following figures given :

Grade 7 Maths Symmetry Long Answer Type Questions

After rotation by 60° about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?
2. What letters of the English alphabet have reflectional symmetry (i.e; symmetry related to mirror reflection) about?
(a) A vertical mirror
(b) A horizontal mirror
(c) Both horizontal and vertical mirrors
3. What other name can you give to the line of symmetry of
(a) an isosceles triangle
(b) a circle

Grade 7 Maths Visualising Solid Shapes

Grade 7 Maths Visualising Solid Shapes Multiple Choice Questions (MCQs)

Two cubes of dimensions 2 cm × 2 cm × 2 cm are placed side by side, the length of resulting cuboid is
(a) 2 cm
(b) 3 cm
(c) 4 cm
(d) 6 cm
Which one is a 3D shape?
(a) Rectangle
(b) circle
(c) cube
(d) square
A cuboid has …………….. vertices.
(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 vertices of a cone is …………. .
(a) 1
(b) 6
(c) 2
(d) 3
The number of faces of a triangular pyramid or tetrahedron is ……………… .
(a) 4
(b) 5
(c) 6
(d) none of these
The number of rectangular faces of a rectangular pyramid is ……………… .
(a) 1
(b) 4
(c) 2
(d) 3
The number of edges of a triangular pyramid is ………….. .
(a) 6
(b) 8
(c) 9
(d) 12
The number of faces of a triangular pyramid is ……………… .
(a) 6
(b) 8
(c) 4
(d) 5
A ………….. is a skeleton-outline of a solid that can be folded to make it
(a) vertices
(b) edges
(c) faces
(d) net
Which of the following is Euler’s Formula:
(a) F + V – E = 2
(b) F + V = E – 2
(c) F – V = E – 2
(d) F – V + E = 2
What will be the number of edges if there are 12 vertices and 20 faces?
(a) 32
(b) 28
(c) 30
(d) 42
What will be the number of faces if there are 6 vertices and 12 edges?
(a) 8
(b) 10
(c) 12
(d) 18
Name of the solid given below figure.
(a) Pyramid
(b) Cone
(c) Cube
(d) Cuboid
Name of the solid given figure.
(a) Pyramid
(b) Cone
(c) Cube
(d) Cuboid
Name of the solid whose net diagram is given figure.
(a) Pyramid
(b) Cone
(c) Cube
(d) Cuboid
Name of the solid whose net diagram is given in the figure.
(a) Pyramid
(b) Cone
(c) Cube
(d) Cuboid
Two dice are placed side by side with 5 + 6, what is the total on the face opposite to the given numbers.
(a) 3
(b) 7
(c) 11
(d) 6
Two dice are placed side by side with 4 + 3, what is the total on the face opposite to the given numbers
(a) 3
(b) 7
(c) 11
(d) 6
What cross-sections do you get when you give a horizontal cut to an ice-cream cone?
(a) rectangle
(b) square
(c) circle
(d) triangle

Grade 7 Maths Visualising Solid Shapes Fill In The Blanks

The solid with one circular face, one curved surface and one vertex is called ……………. .
2. Total no. of edges a cylinder are ……………… .
3. A solid with no vertex is ……………….. .
4. The common portion of two adjacent faces of a cuboid is called …………….. .
5. The number of vertices of a cube is …………….. .

Grade 7 Maths Visualising Solid Shapes True(T) Or False(F)

In an oblique sketch of the solid the measurements are kept proportional.
2. The measurements are of exact size in an isometric sketch.
3. While the sphere is a 2-D figure, the circle is a 3-D figure.
4. The circle, the square, the rectangle and the triangle are example of plane figures.
5. The number of faces of a cylinder is 3.
Grade 7 Maths Visualising Solid Shapes Very Short Answer Type Questions
Grade 7 Maths Visualising Solid Shapes Short Answer Type Questions
1. Which edge is the intersection of faces EFGH and EFBA?

2. which faces intersect at edge FB?
3. Give all the edges that are perpendicular to edge AB.
4. Give four vertices that do not all lie in one plane.
Grade 7 Maths Visualizing Solid Shapes Long Answer Type Questions
1. . Write the number of edges, vertices and faces of the given solids.
2. Two cubes of dimensions 2cm × 2cm × 2cm are placed side by side, what would be the dimensions of the resulting cuboid?
3. Two cuboids are of dimensions 8cm × 3cm × 3cm are joined by length on the first cuboid. What is the total length, breadth and height of the new figure?

Column I	Column II
1. xm × xn	a. xmn
2. xm ÷ xn	b. 1
3. (xm)n	c. (xy)n
4. xn × xn	d. xm – n(m > n)
5. x °	e. xm + n