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This mock test of Test: Fractions and Decimals for Class 7 helps you for every Class 7 entrance exam.
This contains 30 Multiple Choice Questions for Class 7 Test: Fractions and Decimals (mcq) to study with solutions a complete question bank.
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QUESTION: 1

What is the fraction of the shaded area?

Solution:

**► **Total number of blocks = 8

**► **Number of shaded blocks = 4

**► **Number of unshaded blocks = 4

**⇒ **Fraction of Shaded area = No. of blocks of shaded area / Total number of blocks = 4/8 = 1/2

QUESTION: 2

What is the fraction of the shaded area?

Solution:

**► **Total number of blocks = 8

**► **Number of shaded blocks = 1

**► **Number of unshaded blocks = 7

⇒ Fraction of Shaded area = No. of shaded blocks/ Total number of blocks = 1/8

QUESTION: 3

What is the fraction of the shaded area?

Solution:

**► **Total number of blocks = 3

**► **Number of shaded blocks = 1

**► **Number of unshaded blocks = 2

⇒** **Fraction of Shaded area = No. of shaded blocks/ Total number of blocks = 1/3

QUESTION: 4

What is the fraction of the shaded area?

Solution:

**► **Total number of blocks = 6

**► **Number of shaded blocks = 4

**► **Number of unshaded blocks = 2

⇒** **Fraction of Shaded area = No. of shaded blocks/ Total number of blocks = 4/6 = 2/3

QUESTION: 5

What is the fraction of the shaded area ?

Solution:

**► **Total number of blocks = 8

**► **Number of shaded blocks = 7

**► **Number of unshaded blocks = 1

⇒** **Fraction of Shaded area = No. of shaded blocks/ Total number of blocks = 7/8

QUESTION: 6

When 0.232323..... is converted into a fraction, then the result is:

Solution:

0.23232323…=

Let, x =

100x = 23.232323...

⇒ 100x - x = 23.232323...... - 0.23232323......

⇒ 99x = 23

⇒ x = 23/99

QUESTION: 7

Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:

Solution:

Let the three integers be x, x + 2 and x + 4.

Then, 3x = 2(x + 4) + 3 ⇔ x = 11.

∴ Third integer = x + 4 = 15.

QUESTION: 8

(1/2) x (1/5) = ____.

Solution:

**► **(1/2) x (1/5) = 1/10

QUESTION: 9

If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ?

Solution:

Given: 2994 ÷ 14.5 = 172

29.94 ÷ 1.45 = 2994 ÷ 145

QUESTION: 10

0.01 × 0.01 = ______.

Solution:

► 0.01 × 0.01 = 0.0001

QUESTION: 11

Arrange the following in descending order:

(2/9), (2/3), (8/21)

Solution:

First, we convert each fraction into like fraction.

► 2/9 = (2 x 7)/(9 x 7) = 14/63

► 2/3 = (2 x 21)/(3 x 21) = 42/63

► 8/21 = (8 x 2)/(21 x 3) = 24/63.

If denominators are the same, then, greater the numerator, the greater will be the fraction.

∵ 42 > 24 > 14

⇒ (2/3) > (8/21) > (2/9)

Thus, option A is correct.

QUESTION: 12

** **Ritu ate 3/5 part of an apple and the remaining apple was eaten by her brother Somu. How much part of the apple did Somu eat?

Solution:

**► **The part of the apple eaten by Ritu = 3/5

**► **The part of the apple eaten by Somu = 1 - (3/5) = (5 - 3)/5 = 2/5.

QUESTION: 13

One side of a square is 2/a, its perimeter is:

Solution:

► Side of square = 2/a

⇒ Perimeter = 4 x side of square = 4 x 2/a = 8/a

QUESTION: 14

What will be the average of 0.3, 3, 0.03 and 0.002?

Solution:

__Given numbers are:__ 0.3 , 3 , 0.03 and 0.002

► Average = Sum of numbers divided by total numbers

⇒ Average = (0.3 + 3 + 0.03 + 0.002)/4 = 3.332 / 4 = 0.833

QUESTION: 15

The result of adding the difference of 3.003 and 2.05 to their sum is:

Solution:

__Given numbers are:__ 3.003 and 2.05

► Sum of numbers = 3.003 + 2.05 = 5.053

► Difference of numbers = 3.003 - 2.05 = 0.953

Adding the Difference of numbers to the Sum of numbers, 5.053 + 0.953 = 6.006

QUESTION: 16

Find the area of rectangle whose length is 6.7 cm and breadth is 2 cm.

Solution:

Given: Length, L = 6.7 cm, Breadth, B = 2 cm

► Area of rectangle = L x B = 6.7 x 2 = 13.4 cm^{2}

QUESTION: 17

If 43m = 0.086 then m has the value:

Solution:

43m = 0.086

⇒ m = 0.086/43 = 0.002

QUESTION: 18

The value of 2.5 × 0.3 is:

Solution:

► 2.5 × 0.3 = 0.75

QUESTION: 19

The fraction (p+q)/q equals:

Solution:

► (p+q)/q = p/q + q/q = p/q + 1

QUESTION: 20

What is 3/5 of 25?

Solution:

► (3/5) of 25= (3/5) x 25 = 3 x 5 = 15

QUESTION: 21

5/7 ÷ 1/2 is equal to?

Solution:

► (5/7) ÷ (1/2) = (5/7) x (2/1) = 10/7

QUESTION: 22

Which of the following is an improper fraction?

Solution:

A fraction in which the **numerator is greater than the denominator** is called an improper fraction.

**Option A: **20 is less than 70

**Option B: **30 is less than 40

**Option C: **50 is greater than 20

**Option D: **70 is less than 80

**Thus, option C is the correct.**

QUESTION: 23

Which of the following is an equivalent fraction of 3/10?

Solution:

Two fractions are said to be equivalent fractions if** the simplest form of both the fractions is the same**.

**Option A:** 6/20 = 3/10

**Option B:** 5/20 = 1/4

**Option C: **1/40 = 1/40

**Thus option A is correct.**

QUESTION: 24

2/3 of 66 is:

Solution:

► (2/3) of 66 = (2/3) x 66 = 44

QUESTION: 25

The product of two proper fractions is ______ than each of the fractions that are multiplied

Solution:

The product of two proper fractions is **less** than each of the fractions that are multiplied.

**Example:** 1/2 x 1/4 = 1/8

1/8 < 1/2 and 1/8 < 1/4

QUESTION: 26

Which two fractions are equivalent?

Solution:

► Divide whole of the fraction 2/4 by 2, we get 1/2.

QUESTION: 27

Express as rupees using decimals: 7 rupees 7 paise.

Solution:

► 7 rupees 7 paise = Rs. 7 + Rs. (7/100) = Rs. 7 + Rs. 0.07 = Rs. 7.07

QUESTION: 28

Solution:

QUESTION: 29

2.05 x 1.3 equals to?

Solution:

► 2.05 x 1.3 = 2.665

QUESTION: 30

What will be the value of ?

Solution:

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