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Fractions and Decimals > Moderate Level Worksheet

Moderate Level Worksheet

Very Short Answer Questions (1 Mark Each)

(1) Write 0.125 as a fraction in simplest form.

Correct! 0.125 = 1251000 = 18 in simplest form.

(2) Convert 78 into decimal form.

Perfect! 7 ÷ 8 = 0.875.

(3) Write the reciprocal of 910.

Excellent! Reciprocal means flip the fraction.

(4) Multiply 0.6 by 0.5.

Great! 0.6 × 0.5 = 0.3.

(5) Write 3.25 as a mixed fraction.

Short Answer Questions (2 Marks Each)

Answer each question with proper working

(1) Write two equivalent fractions of 5/6. ,

(2) Convert 1.75 into a fraction in simplest form.

Perfect! As an improper fraction: 74.

(3) Add 49 and 59.

Excellent! Same denominator addition.

(4) Subtract 710 from 1.

Correct! Convert 1 to 1010 first.

(5) A length of 5.8 m is decreased by 2.35 m. Find the remaining length. m

Perfect! 3.45 m is the remaining length.

Long Answer Questions (4 Marks Each)

Note: Answer each question with complete working and clear explanations.

(1) Add 3/4 and 7/8.

Perfect! 138 = 1 58 as a mixed number.

(2) Subtract 3.75 from 6.2.

Excellent! Line up decimal places for subtraction.

(3) Multiply 512 by 38.

Correct! Simplified by dividing by 3.

(4) Divide 0.84 by 0.4.

Perfect! Multiply both by 10 to remove decimals.

(5) A fruit seller sold 12.5 kg of apples on Monday and 9.75 kg on Tuesday. Find the total quantity sold in these two days. kg

Excellent! Total quantity sold = 22.25 kg.

Part B: Objective Questions (1 Mark Each)

Choose the correct answer and write the option (a/b/c/d)

(1) 0.2 × 0.5 =

(a) 0.1 (b) 0.01 (c) 1.0 (d) 0.25

0.1
0.01
1.0
0.25

Correct! 0.2 × 0.5 = 0.1.

(2) 1824 in simplest form is:

(a) 34 (b) 43 (c) 68 (d) 86

3/4
4/3
6/8
8/6

Correct! 1824 = 34 (divide both by 6).

(3) The reciprocal of 45 is:

(a) 54 (b) 45 (c) 14 (d) 15

5/4
4/5
1/4
1/5

Correct! Reciprocal means flip the fraction: 45 becomes 54.

(4) 4.5 − 2.35 =

(a) 2.15 (b) 2.25 (c) 2.05 (d) 2.2

2.15
2.25
2.05
2.2

Correct! 4.50 − 2.35 = 2.15.

(5) 2 23 as an improper fraction is:

(a) 83 (b) 53 (c) 73 (d) 63

8/3
5/3
7/3
6/3

Correct! 2 23 = 2×3+23 = 83.

(6) 0.36 ÷ 0.6 =

(a) 0.6 (b) 0.5 (c) 0.4 (d) 0.3

0.6
0.5
0.4
0.3

Correct! 0.36 ÷ 0.6 = 3.6 ÷ 6 = 0.6.

(7) Which is greater: 712 or 58?

(a) 712 (b) 58 (c) Equal (d) Cannot say

7/12
5/8
Equal
Cannot say

Correct! 58 = 1524 and 712 = 1424, so 58 > 712.

(8) 0.45 + 0.55 =

(a) 0.9 (b) 1.0 (c) 1.1 (d) 0.95

0.9
1.0
1.1
0.95

Correct! 0.45 + 0.55 = 1.0.

(9) 915 × 59 =

(a) 515 (b) 1 (c) 13 (d) 35

5/15
1
1/3
3/5

Correct! 915 × 59 = 45135 = 13.

(10) 6.4 ÷ 0.8 =

(a) 8 (b) 0.8 (c) 0.64 (d) 80

8
0.8
0.64
80

Correct! 6.4 ÷ 0.8 = 64 ÷ 8 = 8.

4.5 − 2.35
3/4 + 7/8
5/12 × 3/8
0.45 + 0.55
4/9 + 5/9
9/15 × 5/9
6.4 ÷ 0.8
0.84 ÷ 0.4
Fraction Addition
Fraction Multiplication
Decimal Division
Decimal Add/Subtract

Fraction and Decimal Operations True or False

Determine whether these statements are True or False:

3/4 + 7/8 = 10/12
0.125 = 1/8
5/12 × 3/8 = 5/32
0.2 × 0.5 = 0.01
2 2/3 = 8/3
5/8 > 7/12

Fractions and Decimals - Moderate Quiz