Edexcel GCSE Maths · N10–N12

Fractions, decimals and percentages

50 maths questions with worked answers with answers for N10–N12 Fractions, decimals and percentages in Edexcel GCSE Maths (spec 1MA1). Practise with flashcards, a topic quiz, a random quiz across the course, 5 crosswords, or read every question and answer below.

All 50 questions and answers

Question 1 · Fractions to decimals · N10
Write 78 as a decimal.
Answer:
7 ÷ 8.
0.875.
Question 2 · Decimals to fractions · N10
Write 0.36 as a fraction in its simplest form.
Answer:
0.36 = 36100.
Divide by 4: 925.
Question 3 · Fractions to decimals · N10
Write 320 as a decimal and a percentage.
Answer:
320 = 15100.
0.15 = 15%.
Question 4 · Terminating decimals · N10
Does 740 give a terminating decimal? Explain.
Answer:
40 = 2³ × 5, which has only prime factors 2 and 5.
So yes, it terminates: 740 = 0.175.
Question 5 · Recurring decimals · N10 · Higher only
Write 0.4̇ (0.444…) as a fraction.
Answer:
Let x = 0.444…, so 10x = 4.444….
Subtract: 9x = 4, so x = 49.
Question 6 · Recurring decimals · N10 · Higher only
Write 0.2̇7̇ (0.2727…) as a fraction in simplest form.
Answer:
Let x = 0.2727…, so 100x = 27.2727….
99x = 27, so x = 2799 = 311.
Question 7 · Recurring decimals · N10 · Higher only
Write 0.16̇ (0.1666…) as a fraction in simplest form.
Answer:
Let x = 0.1666…, so 10x = 1.666… and 100x = 16.666….
90x = 15, so x = 1590 = 16.
Question 8 · Ordering · N10
Which is larger, 47 or 0.57?
Answer:
47 = 0.5714….
47 is larger.
Question 9 · Fractions in ratio · N11
Red and blue counters are in the ratio 3 : 5. What fraction of the counters are red?
Answer:
There are 3 + 5 = 8 parts.
Red = 38.
Question 10 · Fractions in ratio · N11
25 of a class are boys. What is the ratio of boys to girls?
Answer:
Girls are 35.
Boys : girls = 2 : 3.
Question 11 · Fractions in ratio · N11
In a bag, 14 of the sweets are red and the rest are green. There are 36 green sweets. How many sweets are there?
Answer:
Green is 34 of the bag, so 14 is 36 ÷ 3 = 12.
Total = 12 × 4 = 48 sweets.
Question 12 · Fraction of an amount · N12
Find 38 of 64.
Answer:
64 ÷ 8 = 8.
8 × 3 = 24.
Question 13 · Percentage of an amount · N12
Find 35% of 260.
Answer:
10% = 26, so 30% = 78 and 5% = 13.
78 + 13 = 91.
Question 14 · Percentage increase · N12
Increase 450 by 12%.
Answer:
Multiplier = 1.12.
450 × 1.12 = 504.
Question 15 · Percentage decrease · N12
Decrease 80 by 15%.
Answer:
Multiplier = 0.85.
80 × 0.85 = 68.
Question 16 · Percentage change · N12
A price rises from £40 to £46. Find the percentage increase.
Answer:
Increase = £6.
640 × 100 = 15%.
Question 17 · Percentage change · N12
A car's value falls from £12 000 to £9 000. Find the percentage decrease.
Answer:
Decrease = £3 000.
300012000 × 100 = 25%.
Question 18 · Expressing as a percentage · N12
Write 18 out of 24 as a percentage.
Answer:
1824 = 0.75.
75%.
Question 19 · Multipliers · N12
What single multiplier increases an amount by 7.5%?
Answer:
100% + 7.5% = 107.5%.
1.075.
Question 20 · VAT · N12
A TV costs £350 before VAT at 20%. Find the price including VAT.
Answer:
350 × 1.2.
£420.
Question 21 · Reverse percentages · N12
After a 20% increase a coat costs £66. What was the original price?
Answer:
£66 is 120% of the original.
66 ÷ 1.2 = £55.
Question 22 · Reverse percentages · N12
After a 30% reduction a bike costs £245. Find the original price.
Answer:
£245 is 70% of the original.
245 ÷ 0.7 = £350.
Question 23 · Simple interest · N12
£800 is invested at 3% simple interest per year. Find the interest after 4 years.
Answer:
Interest per year = 800 × 0.03 = £24.
4 × 24 = £96.
Question 24 · Compound interest · N12
£2000 is invested at 5% compound interest per year. Find its value after 2 years.
Answer:
2000 × 1.05² = 2000 × 1.1025.
£2205.
Question 25 · Repeated change · N12 · Higher only
A population of 5000 falls by 10% each year. Find the population after 3 years.
Answer:
5000 × 0.9³ = 5000 × 0.729.
3645.
Question 26 · Fractions · N12
Calculate 23 + 15.
Answer:
Common denominator 15: 1015 + 315.
1315.
Question 27 · Fractions · N12
Calculate 79 − 16.
Answer:
Common denominator 18: 1418 − 318.
1118.
Question 28 · Fractions · N12
Calculate 45 × 1516.
Answer:
Cancel first: 45 × 1516 = 11 × 34.
34.
Question 29 · Fractions · N12
Calculate 312 − 123.
Answer:
72 − 53 = 216 − 106.
116 = 156.
Question 30 · Fraction problems · N12
Sam spends 13 of £45 on food and 25 of the rest on travel. How much is left?
Answer:
Food: £15, leaving £30. Travel: 25 × 30 = £12.
Left: 30 − 12 = £18.
Question 31 · Fraction of an amount · N12
A recipe uses 34 kg of flour. How much flour is needed for 6 batches?
Answer:
6 × 34 = 184.
4.5 kg.
Question 32 · Comparing · N12
Which is the better score: 17 out of 20 or 41 out of 50?
Answer:
1720 = 85% and 4150 = 82%.
17 out of 20 is better.
Question 33 · Percentages · N12
What percentage of 80 is 28?
Answer:
2880 × 100.
35%.
Question 34 · Percentages · N12
A meal costs £56. A 12.5% service charge is added. Find the total.
Answer:
12.5% of 56 = 7.
56 + 7 = £63.
Question 35 · Percentages · N12
Write 0.035 as a percentage.
Answer:
Multiply by 100.
3.5%.
Question 36 · Percentages · N12
Write 145% as a decimal.
Answer:
Divide by 100.
1.45.
Question 37 · Reverse percentages · N12 · Higher only
A house is worth £297 000 after a 10% rise. What was it worth before?
Answer:
297 000 ÷ 1.1.
£270 000.
Question 38 · Compound interest · N12 · Higher only
How many years does it take £1000 at 10% compound interest to exceed £1300?
Answer:
After 1 year: 1100. After 2: 1210. After 3: 1331.
3 years.
Question 39 · Percentage profit · N12
A trader buys a lamp for £25 and sells it for £32. Find the percentage profit.
Answer:
Profit = £7.
725 × 100 = 28%.
Question 40 · Converting · N10
Write 516 as a decimal.
Answer:
5 ÷ 16.
0.3125.
Question 41 · Fractions of amounts · N12
56 of a number is 40. Find the number.
Answer:
16 is 40 ÷ 5 = 8.
8 × 6 = 48.
Question 42 · Percentage of an amount · N12
Find 2.5% of 640.
Answer:
1% = 6.4.
2.5 × 6.4 = 16.
Question 43 · Depreciation · N12 · Higher only
A van worth £18 000 depreciates by 15% a year. Find its value after 2 years.
Answer:
18 000 × 0.85² = 18 000 × 0.7225.
£13 005.
Question 44 · Percentages · N12
In a sale prices fall by 40%. A jacket now costs £36. What was its full price?
Answer:
£36 is 60% of the full price.
36 ÷ 0.6 = £60.
Question 45 · Fractions in ratio · N11
Paint is mixed red : white in the ratio 2 : 7. What fraction is white?
Answer:
Total parts = 9.
79.
Question 46 · Fractions · N12
Simplify 4256.
Answer:
HCF of 42 and 56 is 14.
34.
Question 47 · Fractions · N12
Calculate 225 ÷ 115.
Answer:
125 ÷ 65 = 125 × 56.
6030 = 2.
Question 48 · Percentages · N12
Increase £60 by 5% and then decrease the result by 5%. What is the final amount?
Answer:
60 × 1.05 = 63.
63 × 0.95 = £59.85.
Question 49 · Percentages · N12
Which is larger: 30% of 70 or 70% of 30?
Answer:
30% of 70 = 21 and 70% of 30 = 21.
They are equal.
Question 50 · Converting · N10
Write 62.5% as a fraction in its simplest form.
Answer:
62.5% = 62.5100 = 6251000.
58.

← N1–N9 Structure and calculation N13–N16 Measures and accuracy →

Fractions, decimals and percentages

All 50 questions and answers

More Edexcel GCSE Maths topics

Cookies on Knowledge Noodles

Cookie settings