Sure! Let’s solve each problem step-by-step and explain the solution clearly.
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SECTION 1: Express the following in percentage form
To convert to percentage, multiply by 100%.
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(1) 7/25
→ (7 ÷ 25) × 100 = 0.28 × 100 =
28%
(2) 14/625
→ (14 ÷ 625) × 100 = 0.0224 × 100 =
2.24%
(3) 5/8
→ (5 ÷ 8) × 100 = 0.625 × 100 =
62.5%
(4) 0.8
→ 0.8 × 100 =
80%
(5) 0.005
→ 0.005 × 100 =
0.5%
(6) 3 : 25 → This is a ratio. Convert to fraction: 3/25
→ (3 ÷ 25) × 100 = 0.12 × 100 =
12%
(7) 11 : 80 → 11/80
→ (11 ÷ 80) × 100 = 0.1375 × 100 =
13.75%
(8) 111 : 125 → 111/125
→ (111 ÷ 125) × 100 = 0.888 × 100 =
88.8%
(9) 13 : 75 → 13/75
→ (13 ÷ 75) × 100 ≈ 0.1733 × 100 =
17.33% (rounded to 2 decimal places)
(10) 15 : 16 → 15/16
→ (15 ÷ 16) × 100 = 0.9375 × 100 =
93.75%
(11) 0.18
→ 0.18 × 100 =
18%
(12) 7/125
→ (7 ÷ 125) × 100 = 0.056 × 100 =
5.6%
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SECTION 2: Convert the following percentage to fractions and ratios respectively
To convert % to fraction: divide by 100 and simplify.
Ratio is same as fraction written as a:b.
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(13) 25%
→ Fraction: 25/100 =
1/4
→ Ratio:
1 : 4
(14) 2.5%
→ Fraction: 2.5/100 = 25/1000 =
1/40
→ Ratio:
1 : 40
(15) 0.25%
→ Fraction: 0.25/100 = 25/10000 =
1/400
→ Ratio:
1 : 400
(16) 0.3%
→ Fraction: 0.3/100 = 3/1000
→ Already simplified →
3/1000
→ Ratio:
3 : 1000
(17) 125%
→ Fraction: 125/100 =
5/4
→ Ratio:
5 : 4
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SECTION 3: Express the following as decimal fraction
To convert % to decimal: divide by 100.
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(18) 27% → 27 ÷ 100 =
0.27
(19) 6.3% → 6.3 ÷ 100 =
0.063
(20) 32% → 32 ÷ 100 =
0.32
(21) 0.25% → 0.25 ÷ 100 =
0.0025
(22) 7.5% → 7.5 ÷ 100 =
0.075
(23) ¹⁄₈ % → First, ¹⁄₈ = 0.125, so 0.125%
→ 0.125 ÷ 100 =
0.00125
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SECTION 4: Find the following
To find X% of Y: (X/100) × Y
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(24) 22% of 120
→ (22/100) × 120 = 0.22 × 120 =
26.4
(25) 25% of Rs 1000
→ (25/100) × 1000 = 0.25 × 1000 =
Rs 250
(26) 25% of 10 kg
→ 0.25 × 10 =
2.5 kg
(27) 16.5% of 5000 meter
→ (16.5/100) × 5000 = 0.165 × 5000 =
825 meters
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✔ Final Answers Summary:
Section 1:
(1) 28%
(2) 2.24%
(3) 62.5%
(4) 80%
(5) 0.5%
(6) 12%
(7) 13.75%
(8) 88.8%
(9) 17.33%
(10) 93.75%
(11) 18%
(12) 5.6%
Section 2:
(13) Fraction: 1/4, Ratio: 1:4
(14) Fraction: 1/40, Ratio: 1:40
(15) Fraction: 1/400, Ratio: 1:400
(16) Fraction: 3/1000, Ratio: 3:1000
(17) Fraction: 5/4, Ratio: 5:4
Section 3:
(18) 0.27
(19) 0.063
(20) 0.32
(21) 0.0025
(22) 0.075
(23) 0.00125
Section 4:
(24) 26.4
(25) Rs 250
(26) 2.5 kg
(27) 825 meters
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Let me know if you’d like this formatted as a printable answer sheet or need explanations for any specific step!
Parent Tip: Review the logic above to help your child master the concept of percentages worksheet year 8.
