# Free Decimals 02 Practice Test - 4th Grade

### Question 1

Find the value:

12+35

4.50

1.10

4.20

0.5

#### SOLUTION

Solution :B

Decimal form of 12=0.5

Decimal form of 35=0.6

⇒ 0.50 + 0.60––––––– 1.10–––––

### Question 2

What fraction in total do the shaded regions represent?

78

32

98

58

#### SOLUTION

Solution :B

The first part of the figure has a circle divided into 8 parts and 5 parts of it are shaded.

∴ Fraction=58

The second part of the figure has a circle divided into 8 parts and 7 parts of it are shaded.

∴ Fraction=78

Sum=58+78=5+78=128

But, 128=12÷48÷4=32.

∴ The required sum is 32.

### Question 3

Find the unknown value.

0.340.2=?

0.17

0.07

1.74

1.70

#### SOLUTION

Solution :D

We multiply the numerator and denominator of 0.340.2 by 100 to convert them into whole numbers.

0.34×1000.20×100=3420=1710=1.7=1.70

### Question 4

Identify the option that has the correct decimal and fraction representation of the shaded region below.

0.4,4100

0.4,410

0.04,410

0.04,4100

#### SOLUTION

Solution :B

The rectangle is divided into 10 parts, of which 4 are shaded.

∴Fraction =410

But, 410=0.4.

Thus, the correct answer is 0.4,410.

### Question 5

Farookh cuts an apple into 12 equal pieces and gives 5 pieces to his best friend. If he eats 4 pieces, what part of the apple is left with Farookh?

0.20

0.25

0.15

0.30

#### SOLUTION

Solution :B

Farookh eats 4 pieces of the apple and gives 5 pieces to his friend.

∴ Total pieces of apple eaten=512+412=912Remaining pieces=1−912=12−912=312(Reducing by common factor)=3÷312÷3=14Multiply by 25 (both numerator and denominator)=1×254×25=25100=0.25

### Question 6

8.25−23100 = ______

3.62

0.38

8.02

0.52

#### SOLUTION

Solution :C

Convert 23100 into decimal

8.25 - 0.23 = 8.02

### Question 7

A member of school team ran for a total of 156.25 miles over 25 days. Approximately how many miles did he run per day?

2

6.25

4

5

#### SOLUTION

Solution :B

Total miles travelled = 156.25

Number of days they ran = 25 daysMiles they run in a day = 156.25 ÷ 25

So, they ran for 6.25 miles per day for 25 days.

### Question 8

Raj bought some sweets. The weighing machine at the shop read 0.25kg. He weighed the sweets again at home, and the reading was 0.250kg. Then:

Machine at shop was faulty

Raju’s machine was faulty

Both machines were correct

He ate some on the way

#### SOLUTION

Solution :C

The value remains the same if zero is after the numbers.

### Question 9

What should be the size of piece that would fit in the unknown region?

112

116

312

316

#### SOLUTION

Solution :A

34+16

To add the 2 fractions, we need to find the LCM of 4 and 6

LCM of 4 and 6 = 12

34+16=3×34×3+1×26×2=9+212=1112To find the missing piece,

=1−1112=12−1112=112

### Question 10

Arrange 13,16,12,17 in ascending order:

12,13,16,17

17,16,13,12

12,16,13,17

17,12,13,16

#### SOLUTION

Solution :B

17=0.14,16=0.16,13=0.33,12=0.5

or

17,16,13,12

Since the numerators are the same, bigger the denominator smaller the fraction.

7 > 6 > 3 > 2