Free Decimals 02 Practice Test - 4th Grade

Question 1

Find the value:

$\frac{1}{2} + \frac{3}{5}$

4.50

1.10

4.20

0.5

SOLUTION

Solution : B

Decimal form of $\frac{1}{2} = 0.5$
Decimal form of $\frac{3}{5} = 0.6$

$\Rightarrow 0.50 + 0.60 - ----- - 1.10 - --- -$

Question 2

What fraction in total do the shaded regions represent?

$\frac{7}{8}$

$\frac{3}{2}$

$\frac{9}{8}$

$\frac{5}{8}$

SOLUTION

Solution : B

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

$∴ Fraction = \frac{5}{8}$

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

$∴ Fraction = \frac{7}{8}$

$Sum = \frac{5}{8} + \frac{7}{8} = \frac{5 + 7}{8} = \frac{12}{8}$

But, $\frac{12}{8} = \frac{12 \div 4}{8 \div 4} = \frac{3}{2} .$

$∴$ The required sum is $\frac{3}{2} .$

Question 3

Find the unknown value.

$\frac{0.34}{0.2} = ?$

0.17

0.07

1.74

1.70

SOLUTION

Solution : D

We multiply the numerator and denominator of $\frac{0.34}{0.2}$ by 100 to convert them into whole numbers.

$\frac{0.34 \times 100}{0.20 \times 100} = \frac{34}{20} = \frac{17}{10} = 1.7 = 1.70$

Question 4

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

$0.4, \frac{4}{100}$

$0.4, \frac{4}{10}$

$0.04, \frac{4}{10}$

$0.04, \frac{4}{100}$

SOLUTION

Solution : B

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

$∴ Fraction = \frac{4}{10}$

But, $\frac{4}{10} = 0.4.$

Thus, the correct answer is $0.4, \frac{4}{10} .$

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.
$∴ Total pieces of apple eaten = \frac{5}{12} + \frac{4}{12} = \frac{9}{12} Remaining pieces = 1 - \frac{9}{12} = \frac{12 - 9}{12} = \frac{3}{12} (Reducing by common factor) = \frac{3 \div 3}{12 \div 3} = \frac{1}{4} Multiply by 25 (both numerator and denominator) = \frac{1 \times 25}{4 \times 25} = \frac{25}{100} = 0.25$

Question 6

$8.25 - \frac{23}{100}$ = ______

3.62

0.38

8.02

0.52

SOLUTION

Solution : C

Convert $\frac{23}{100}$ 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?

6.25

SOLUTION

Solution : B

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

Miles they run in a day = 156.25 $\div$ 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?

$\frac{1}{12}$

$\frac{1}{16}$

$\frac{3}{12}$

$\frac{3}{16}$

SOLUTION

Solution : A

$\frac{3}{4} + \frac{1}{6}$
To add the 2 fractions, we need to find the LCM of 4 and 6

LCM of 4 and 6 = 12

$\frac{3}{4} + \frac{1}{6} = \frac{3 \times 3}{4 \times 3} + \frac{1 \times 2}{6 \times 2} = \frac{9 + 2}{12} = \frac{11}{12}$

To find the missing piece,
$= 1 - \frac{11}{12} = \frac{12 - 11}{12} = \frac{1}{12}$

Question 10

Arrange $\frac{1}{3}, \frac{1}{6}, \frac{1}{2}, \frac{1}{7}$ in ascending order:

$\frac{1}{2}, \frac{1}{3}, \frac{1}{6}, \frac{1}{7}$

$\frac{1}{7}, \frac{1}{6}, \frac{1}{3}, \frac{1}{2}$

$\frac{1}{2}, \frac{1}{6}, \frac{1}{3}, \frac{1}{7}$

$\frac{1}{7}, \frac{1}{2}, \frac{1}{3}, \frac{1}{6}$

SOLUTION

Solution : B

$\frac{1}{7} = 0.14, \frac{1}{6} = 0.16, \frac{1}{3} = 0.33, \frac{1}{2} = 0.5$

or

$\frac{1}{7}, \frac{1}{6}, \frac{1}{3}, \frac{1}{2}$

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

7 > 6 > 3 > 2

Free Decimals 02 Practice Test - 4th Grade

Question 1

SOLUTION

Question 2

SOLUTION

Question 3

SOLUTION

Question 4

SOLUTION

Question 5

SOLUTION

Question 6

SOLUTION

Question 7

SOLUTION

Question 8

SOLUTION

Question 9

SOLUTION

Question 10

SOLUTION

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