# Free Decimals 02 Practice Test - 4th Grade

Find the value:

12+35

A.

4.50

B.

1.10

C.

4.20

D.

0.5

#### SOLUTION

Solution : B

Decimal form of 12=0.5
Decimal form of 35=0.6

0.50                + 0.60–––––                1.10–––

What fraction in total do the shaded regions represent?

A.

78

B.

32

C.

98

D.

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.

Find the unknown value.

0.340.2=?

A.

0.17

B.

0.07

C.

1.74

D.

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

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

A.

0.4,4100

B.

0.4,410

C.

0.04,410

D.

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.

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?

A.

0.20

B.

0.25

C.

0.15

D.

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=1912=12912=312(Reducing by common factor)=3÷312÷3=14Multiply by 25 (both numerator and denominator)=1×254×25=25100=0.25

8.2523100 = ______

A.

3.62

B.

0.38

C.

8.02

D.

0.52

#### SOLUTION

Solution : C

Convert 23100 into decimal

8.25 - 0.23 = 8.02

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?

A.

2

B.

6.25

C.

4

D.

5

#### SOLUTION

Solution : B

Total miles travelled = 156.25
Number of days they ran = 25 days

Miles they run in a day = 156.25 ÷ 25

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

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:

A.

Machine at shop was faulty

B.

Raju’s machine was faulty

C.

Both machines were correct

D.

He ate some on the way

#### SOLUTION

Solution : C

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

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

A.

112

B.

116

C.

312

D.

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=1112

To find the missing piece,
=11112=121112=112

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

A.

12,13,16,17

B.

17,16,13,12

C.

12,16,13,17

D.

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