Improve Tuition · GCSE Maths · Grade 2 · 100-question paper
Lesson · Percentages · Grade 2 lock

Percentages — 100 Questions

Five bands, easy to hardest, all within Grade 2.

100 marks · 5 sections · grade-locked (no Grade 2+ techniques required)

Name:Date:Score: / 100
Grade-locked: every question can be solved using the six percentages facts on the lesson page (% out of 100, common conversions, finding percentages via shortcuts, building up). No percentage increase/decrease, no reverse percentages, no compound interest.
Band A
Section — What % means
Convert simple percentages to decimals
Q1.The grid shows 10%. Convert 10% to a decimal.
10% = 10 out of 100
(1 mark)
  1. Read it. The grid shows 10%. Convert 10% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 10 ÷ 100.
  4. Do the maths. = 0.1.
  5. Answer. 0.1
Answer: 0.1
Watch outMove the decimal point 2 places LEFT.
Q2.The grid shows 20%. Convert 20% to a decimal.
20% = 20 out of 100
(1 mark)
  1. Read it. The grid shows 20%. Convert 20% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 20 ÷ 100.
  4. Do the maths. = 0.2.
  5. Answer. 0.2
Answer: 0.2
Watch outMove the decimal point 2 places LEFT.
Q3.The grid shows 25%. Convert 25% to a decimal.
25% = 25 out of 100
(1 mark)
  1. Read it. The grid shows 25%. Convert 25% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 25 ÷ 100.
  4. Do the maths. = 0.25.
  5. Answer. 0.25
Answer: 0.25
Watch outMove the decimal point 2 places LEFT.
Q4.The grid shows 30%. Convert 30% to a decimal.
30% = 30 out of 100
(1 mark)
  1. Read it. The grid shows 30%. Convert 30% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 30 ÷ 100.
  4. Do the maths. = 0.3.
  5. Answer. 0.3
Answer: 0.3
Watch outMove the decimal point 2 places LEFT.
Q5.The grid shows 40%. Convert 40% to a decimal.
40% = 40 out of 100
(1 mark)
  1. Read it. The grid shows 40%. Convert 40% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 40 ÷ 100.
  4. Do the maths. = 0.4.
  5. Answer. 0.4
Answer: 0.4
Watch outMove the decimal point 2 places LEFT.
Q6.The grid shows 50%. Convert 50% to a decimal.
50% = 50 out of 100
(1 mark)
  1. Read it. The grid shows 50%. Convert 50% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 50 ÷ 100.
  4. Do the maths. = 0.5.
  5. Answer. 0.5
Answer: 0.5
Watch outMove the decimal point 2 places LEFT.
Q7.The grid shows 60%. Convert 60% to a decimal.
60% = 60 out of 100
(1 mark)
  1. Read it. The grid shows 60%. Convert 60% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 60 ÷ 100.
  4. Do the maths. = 0.6.
  5. Answer. 0.6
Answer: 0.6
Watch outMove the decimal point 2 places LEFT.
Q8.The grid shows 70%. Convert 70% to a decimal.
70% = 70 out of 100
(1 mark)
  1. Read it. The grid shows 70%. Convert 70% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 70 ÷ 100.
  4. Do the maths. = 0.7.
  5. Answer. 0.7
Answer: 0.7
Watch outMove the decimal point 2 places LEFT.
Q9.The grid shows 75%. Convert 75% to a decimal.
75% = 75 out of 100
(1 mark)
  1. Read it. The grid shows 75%. Convert 75% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 75 ÷ 100.
  4. Do the maths. = 0.75.
  5. Answer. 0.75
Answer: 0.75
Watch outMove the decimal point 2 places LEFT.
Q10.The grid shows 80%. Convert 80% to a decimal.
80% = 80 out of 100
(1 mark)
  1. Read it. The grid shows 80%. Convert 80% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 80 ÷ 100.
  4. Do the maths. = 0.8.
  5. Answer. 0.8
Answer: 0.8
Watch outMove the decimal point 2 places LEFT.
Q11.The grid shows 15%. Convert 15% to a decimal.
15% = 15 out of 100
(1 mark)
  1. Read it. The grid shows 15%. Convert 15% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 15 ÷ 100.
  4. Do the maths. = 0.15.
  5. Answer. 0.15
Answer: 0.15
Watch outMove the decimal point 2 places LEFT.
Q12.The grid shows 35%. Convert 35% to a decimal.
35% = 35 out of 100
(1 mark)
  1. Read it. The grid shows 35%. Convert 35% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 35 ÷ 100.
  4. Do the maths. = 0.35.
  5. Answer. 0.35
Answer: 0.35
Watch outMove the decimal point 2 places LEFT.
Q13.The grid shows 45%. Convert 45% to a decimal.
45% = 45 out of 100
(1 mark)
  1. Read it. The grid shows 45%. Convert 45% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 45 ÷ 100.
  4. Do the maths. = 0.45.
  5. Answer. 0.45
Answer: 0.45
Watch outMove the decimal point 2 places LEFT.
Q14.The grid shows 55%. Convert 55% to a decimal.
55% = 55 out of 100
(1 mark)
  1. Read it. The grid shows 55%. Convert 55% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 55 ÷ 100.
  4. Do the maths. = 0.55.
  5. Answer. 0.55
Answer: 0.55
Watch outMove the decimal point 2 places LEFT.
Q15.The grid shows 65%. Convert 65% to a decimal.
65% = 65 out of 100
(1 mark)
  1. Read it. The grid shows 65%. Convert 65% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 65 ÷ 100.
  4. Do the maths. = 0.65.
  5. Answer. 0.65
Answer: 0.65
Watch outMove the decimal point 2 places LEFT.
Q16.The grid shows 85%. Convert 85% to a decimal.
85% = 85 out of 100
(1 mark)
  1. Read it. The grid shows 85%. Convert 85% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 85 ÷ 100.
  4. Do the maths. = 0.85.
  5. Answer. 0.85
Answer: 0.85
Watch outMove the decimal point 2 places LEFT.
Q17.The grid shows 90%. Convert 90% to a decimal.
90% = 90 out of 100
(1 mark)
  1. Read it. The grid shows 90%. Convert 90% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 90 ÷ 100.
  4. Do the maths. = 0.9.
  5. Answer. 0.9
Answer: 0.9
Watch outMove the decimal point 2 places LEFT.
Q18.The grid shows 95%. Convert 95% to a decimal.
95% = 95 out of 100
(1 mark)
  1. Read it. The grid shows 95%. Convert 95% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 95 ÷ 100.
  4. Do the maths. = 0.95.
  5. Answer. 0.95
Answer: 0.95
Watch outMove the decimal point 2 places LEFT.
Q19.The grid shows 5%. Convert 5% to a decimal.
5% = 5 out of 100
(1 mark)
  1. Read it. The grid shows 5%. Convert 5% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 5 ÷ 100.
  4. Do the maths. = 0.05.
  5. Answer. 0.05
Answer: 0.05
Watch outMove the decimal point 2 places LEFT.
Q20.The grid shows 100%. Convert 100% to a decimal.
100% = 100 out of 100
(1 mark)
  1. Read it. The grid shows 100%. Convert 100% to a decimal.
  2. The fact. % ÷ 100 = decimal.
  3. The numbers. 100 ÷ 100.
  4. Do the maths. = 1.0.
  5. Answer. 1.0
Answer: 1.0
Watch outMove the decimal point 2 places LEFT.
Band B
Section — Shortcuts
Find 10%, 50%, 25% of amounts
Q21.Find 10% of 80.
Total (100%) = 8010%0%25%50%75%100%10% of 80 = 8
(1 mark)
  1. Read it. Find 10% of 80.
  2. The fact. 10% = 1/10. Divide by 10.
  3. The numbers. 10% of 80.
  4. Do the maths. 80 ÷ 10 = 8.
  5. Answer. 8
Answer: 8
Watch outUse the shortcut — no need to multiply by the percentage.
Q22.Find 10% of 120.
Total (100%) = 12010%0%25%50%75%100%10% of 120 = 12
(1 mark)
  1. Read it. Find 10% of 120.
  2. The fact. 10% = 1/10. Divide by 10.
  3. The numbers. 10% of 120.
  4. Do the maths. 120 ÷ 10 = 12.
  5. Answer. 12
Answer: 12
Watch outUse the shortcut — no need to multiply by the percentage.
Q23.Find 10% of 250.
Total (100%) = 25010%0%25%50%75%100%10% of 250 = 25
(1 mark)
  1. Read it. Find 10% of 250.
  2. The fact. 10% = 1/10. Divide by 10.
  3. The numbers. 10% of 250.
  4. Do the maths. 250 ÷ 10 = 25.
  5. Answer. 25
Answer: 25
Watch outUse the shortcut — no need to multiply by the percentage.
Q24.Find 10% of 400.
Total (100%) = 40010%0%25%50%75%100%10% of 400 = 40
(1 mark)
  1. Read it. Find 10% of 400.
  2. The fact. 10% = 1/10. Divide by 10.
  3. The numbers. 10% of 400.
  4. Do the maths. 400 ÷ 10 = 40.
  5. Answer. 40
Answer: 40
Watch outUse the shortcut — no need to multiply by the percentage.
Q25.Find 50% of 60.
Total (100%) = 6050%0%25%50%75%100%50% of 60 = 30
(1 mark)
  1. Read it. Find 50% of 60.
  2. The fact. 50% = 1/2. Divide by 2.
  3. The numbers. 50% of 60.
  4. Do the maths. 60 ÷ 2 = 30.
  5. Answer. 30
Answer: 30
Watch outUse the shortcut — no need to multiply by the percentage.
Q26.Find 50% of 90.
Total (100%) = 9050%0%25%50%75%100%50% of 90 = 45
(1 mark)
  1. Read it. Find 50% of 90.
  2. The fact. 50% = 1/2. Divide by 2.
  3. The numbers. 50% of 90.
  4. Do the maths. 90 ÷ 2 = 45.
  5. Answer. 45
Answer: 45
Watch outUse the shortcut — no need to multiply by the percentage.
Q27.Find 50% of 150.
Total (100%) = 15050%0%25%50%75%100%50% of 150 = 75
(1 mark)
  1. Read it. Find 50% of 150.
  2. The fact. 50% = 1/2. Divide by 2.
  3. The numbers. 50% of 150.
  4. Do the maths. 150 ÷ 2 = 75.
  5. Answer. 75
Answer: 75
Watch outUse the shortcut — no need to multiply by the percentage.
Q28.Find 25% of 40.
Total (100%) = 4025%0%25%50%75%100%25% of 40 = 10
(1 mark)
  1. Read it. Find 25% of 40.
  2. The fact. 25% = 1/4. Divide by 4.
  3. The numbers. 25% of 40.
  4. Do the maths. 40 ÷ 4 = 10.
  5. Answer. 10
Answer: 10
Watch outUse the shortcut — no need to multiply by the percentage.
Q29.Find 25% of 80.
Total (100%) = 8025%0%25%50%75%100%25% of 80 = 20
(1 mark)
  1. Read it. Find 25% of 80.
  2. The fact. 25% = 1/4. Divide by 4.
  3. The numbers. 25% of 80.
  4. Do the maths. 80 ÷ 4 = 20.
  5. Answer. 20
Answer: 20
Watch outUse the shortcut — no need to multiply by the percentage.
Q30.Find 25% of 120.
Total (100%) = 12025%0%25%50%75%100%25% of 120 = 30
(1 mark)
  1. Read it. Find 25% of 120.
  2. The fact. 25% = 1/4. Divide by 4.
  3. The numbers. 25% of 120.
  4. Do the maths. 120 ÷ 4 = 30.
  5. Answer. 30
Answer: 30
Watch outUse the shortcut — no need to multiply by the percentage.
Band B
Section — Converting % and decimals
Mixed conversions, no diagrams
Q31.Convert 45% to a decimal.
(1 mark)
  1. Read it. Convert 45% to a decimal.
  2. The fact. To convert % to decimal, divide by 100.
  3. The numbers. 45.
  4. Do the maths. 45 ÷ 100 = 0.45.
  5. Answer. 0.45
Answer: 0.45
Watch outMove the decimal point 2 places.
Q32.Convert 0.3 to a percentage. Type just the number.
(1 mark)
  1. Read it. Convert 0.3 to a percentage. Type just the number.
  2. The fact. To convert decimal to %, multiply by 100.
  3. The numbers. 0.3.
  4. Do the maths. 0.3 × 100 = 30.
  5. Answer. 30
Answer: 30
Watch outMove the decimal point 2 places.
Q33.Convert 68% to a decimal.
(1 mark)
  1. Read it. Convert 68% to a decimal.
  2. The fact. To convert % to decimal, divide by 100.
  3. The numbers. 68.
  4. Do the maths. 68 ÷ 100 = 0.68.
  5. Answer. 0.68
Answer: 0.68
Watch outMove the decimal point 2 places.
Q34.Convert 0.85 to a percentage. Type just the number.
(1 mark)
  1. Read it. Convert 0.85 to a percentage. Type just the number.
  2. The fact. To convert decimal to %, multiply by 100.
  3. The numbers. 0.85.
  4. Do the maths. 0.85 × 100 = 85.
  5. Answer. 85
Answer: 85
Watch outMove the decimal point 2 places.
Q35.Convert 12% to a decimal.
(1 mark)
  1. Read it. Convert 12% to a decimal.
  2. The fact. To convert % to decimal, divide by 100.
  3. The numbers. 12.
  4. Do the maths. 12 ÷ 100 = 0.12.
  5. Answer. 0.12
Answer: 0.12
Watch outMove the decimal point 2 places.
Q36.Convert 0.09 to a percentage. Type just the number.
(1 mark)
  1. Read it. Convert 0.09 to a percentage. Type just the number.
  2. The fact. To convert decimal to %, multiply by 100.
  3. The numbers. 0.09.
  4. Do the maths. 0.09 × 100 = 9.
  5. Answer. 9
Answer: 9
Watch outMove the decimal point 2 places.
Q37.Convert 3% to a decimal.
(1 mark)
  1. Read it. Convert 3% to a decimal.
  2. The fact. To convert % to decimal, divide by 100.
  3. The numbers. 3.
  4. Do the maths. 3 ÷ 100 = 0.03.
  5. Answer. 0.03
Answer: 0.03
Watch outMove the decimal point 2 places.
Q38.Convert 1.0 to a percentage. Type just the number.
(1 mark)
  1. Read it. Convert 1.0 to a percentage. Type just the number.
  2. The fact. To convert decimal to %, multiply by 100.
  3. The numbers. 1.0.
  4. Do the maths. 1.0 × 100 = 100.
  5. Answer. 100
Answer: 100
Watch outMove the decimal point 2 places.
Q39.Convert 7% to a decimal.
(1 mark)
  1. Read it. Convert 7% to a decimal.
  2. The fact. To convert % to decimal, divide by 100.
  3. The numbers. 7.
  4. Do the maths. 7 ÷ 100 = 0.07.
  5. Answer. 0.07
Answer: 0.07
Watch outMove the decimal point 2 places.
Q40.Convert 0.4 to a percentage. Type just the number.
(1 mark)
  1. Read it. Convert 0.4 to a percentage. Type just the number.
  2. The fact. To convert decimal to %, multiply by 100.
  3. The numbers. 0.4.
  4. Do the maths. 0.4 × 100 = 40.
  5. Answer. 40
Answer: 40
Watch outMove the decimal point 2 places.
Band C
Section — More shortcuts
10%, 25%, 50%, 75% of amounts
Q41.Find 10% of 30.
(1 mark)
  1. Read it. Find 10% of 30.
  2. The fact. 10% = 1/10.
  3. The numbers. 10% of 30.
  4. Do the maths. 30 ÷ 10 = 3.
  5. Answer. 3
Answer: 3
Watch outUse the fraction shortcut.
Q42.Find 10% of 90.
(1 mark)
  1. Read it. Find 10% of 90.
  2. The fact. 10% = 1/10.
  3. The numbers. 10% of 90.
  4. Do the maths. 90 ÷ 10 = 9.
  5. Answer. 9
Answer: 9
Watch outUse the fraction shortcut.
Q43.Find 10% of 250.
(1 mark)
  1. Read it. Find 10% of 250.
  2. The fact. 10% = 1/10.
  3. The numbers. 10% of 250.
  4. Do the maths. 250 ÷ 10 = 25.
  5. Answer. 25
Answer: 25
Watch outUse the fraction shortcut.
Q44.Find 10% of 600.
(1 mark)
  1. Read it. Find 10% of 600.
  2. The fact. 10% = 1/10.
  3. The numbers. 10% of 600.
  4. Do the maths. 600 ÷ 10 = 60.
  5. Answer. 60
Answer: 60
Watch outUse the fraction shortcut.
Q45.Find 10% of 700.
(1 mark)
  1. Read it. Find 10% of 700.
  2. The fact. 10% = 1/10.
  3. The numbers. 10% of 700.
  4. Do the maths. 700 ÷ 10 = 70.
  5. Answer. 70
Answer: 70
Watch outUse the fraction shortcut.
Q46.Find 50% of 100.
(1 mark)
  1. Read it. Find 50% of 100.
  2. The fact. 50% = 1/2.
  3. The numbers. 50% of 100.
  4. Do the maths. 100 ÷ 2 = 50.
  5. Answer. 50
Answer: 50
Watch outUse the fraction shortcut.
Q47.Find 50% of 240.
(1 mark)
  1. Read it. Find 50% of 240.
  2. The fact. 50% = 1/2.
  3. The numbers. 50% of 240.
  4. Do the maths. 240 ÷ 2 = 120.
  5. Answer. 120
Answer: 120
Watch outUse the fraction shortcut.
Q48.Find 50% of 44.
(1 mark)
  1. Read it. Find 50% of 44.
  2. The fact. 50% = 1/2.
  3. The numbers. 50% of 44.
  4. Do the maths. 44 ÷ 2 = 22.
  5. Answer. 22
Answer: 22
Watch outUse the fraction shortcut.
Q49.Find 50% of 90.
(1 mark)
  1. Read it. Find 50% of 90.
  2. The fact. 50% = 1/2.
  3. The numbers. 50% of 90.
  4. Do the maths. 90 ÷ 2 = 45.
  5. Answer. 45
Answer: 45
Watch outUse the fraction shortcut.
Q50.Find 50% of 180.
(1 mark)
  1. Read it. Find 50% of 180.
  2. The fact. 50% = 1/2.
  3. The numbers. 50% of 180.
  4. Do the maths. 180 ÷ 2 = 90.
  5. Answer. 90
Answer: 90
Watch outUse the fraction shortcut.
Q51.Find 25% of 20.
(1 mark)
  1. Read it. Find 25% of 20.
  2. The fact. 25% = 1/4.
  3. The numbers. 25% of 20.
  4. Do the maths. 20 ÷ 4 = 5.
  5. Answer. 5
Answer: 5
Watch outUse the fraction shortcut.
Q52.Find 25% of 60.
(1 mark)
  1. Read it. Find 25% of 60.
  2. The fact. 25% = 1/4.
  3. The numbers. 25% of 60.
  4. Do the maths. 60 ÷ 4 = 15.
  5. Answer. 15
Answer: 15
Watch outUse the fraction shortcut.
Q53.Find 25% of 100.
(1 mark)
  1. Read it. Find 25% of 100.
  2. The fact. 25% = 1/4.
  3. The numbers. 25% of 100.
  4. Do the maths. 100 ÷ 4 = 25.
  5. Answer. 25
Answer: 25
Watch outUse the fraction shortcut.
Q54.Find 25% of 200.
(1 mark)
  1. Read it. Find 25% of 200.
  2. The fact. 25% = 1/4.
  3. The numbers. 25% of 200.
  4. Do the maths. 200 ÷ 4 = 50.
  5. Answer. 50
Answer: 50
Watch outUse the fraction shortcut.
Q55.Find 25% of 320.
(1 mark)
  1. Read it. Find 25% of 320.
  2. The fact. 25% = 1/4.
  3. The numbers. 25% of 320.
  4. Do the maths. 320 ÷ 4 = 80.
  5. Answer. 80
Answer: 80
Watch outUse the fraction shortcut.
Q56.Find 75% of 40.
(1 mark)
  1. Read it. Find 75% of 40.
  2. The fact. 75% = 3/4.
  3. The numbers. 75% of 40.
  4. Do the maths. 25% = 40 ÷ 4 = 10. 75% = 3 × 10 = 30.
  5. Answer. 30
Answer: 30
Watch outUse the fraction shortcut.
Q57.Find 75% of 80.
(1 mark)
  1. Read it. Find 75% of 80.
  2. The fact. 75% = 3/4.
  3. The numbers. 75% of 80.
  4. Do the maths. 25% = 80 ÷ 4 = 20. 75% = 3 × 20 = 60.
  5. Answer. 60
Answer: 60
Watch outUse the fraction shortcut.
Q58.Find 75% of 200.
(1 mark)
  1. Read it. Find 75% of 200.
  2. The fact. 75% = 3/4.
  3. The numbers. 75% of 200.
  4. Do the maths. 25% = 200 ÷ 4 = 50. 75% = 3 × 50 = 150.
  5. Answer. 150
Answer: 150
Watch outUse the fraction shortcut.
Q59.Find 75% of 400.
(1 mark)
  1. Read it. Find 75% of 400.
  2. The fact. 75% = 3/4.
  3. The numbers. 75% of 400.
  4. Do the maths. 25% = 400 ÷ 4 = 100. 75% = 3 × 100 = 300.
  5. Answer. 300
Answer: 300
Watch outUse the fraction shortcut.
Q60.Find 75% of 24.
(1 mark)
  1. Read it. Find 75% of 24.
  2. The fact. 75% = 3/4.
  3. The numbers. 75% of 24.
  4. Do the maths. 25% = 24 ÷ 4 = 6. 75% = 3 × 6 = 18.
  5. Answer. 18
Answer: 18
Watch outUse the fraction shortcut.
Band D
Section — Building up
20%, 5%, 15%, 30% — build from 10%
Q61.Find 20% of 50.
Building 20%10%10%20% = 10% + 10%
(1 mark)
  1. Read it. Find 20% of 50.
  2. The fact. 20% = 10% × 2.
  3. The numbers. 20% of 50.
  4. Do the maths. 10% = 50 ÷ 10 = 5. 20% = 2 × 5 = 10.
  5. Answer. 10
Answer: 10
Watch outStart by finding 10%, then build up.
Q62.Find 20% of 80.
Building 20%10%10%20% = 10% + 10%
(1 mark)
  1. Read it. Find 20% of 80.
  2. The fact. 20% = 10% × 2.
  3. The numbers. 20% of 80.
  4. Do the maths. 10% = 80 ÷ 10 = 8. 20% = 2 × 8 = 16.
  5. Answer. 16
Answer: 16
Watch outStart by finding 10%, then build up.
Q63.Find 20% of 150.
Building 20%10%10%20% = 10% + 10%
(1 mark)
  1. Read it. Find 20% of 150.
  2. The fact. 20% = 10% × 2.
  3. The numbers. 20% of 150.
  4. Do the maths. 10% = 150 ÷ 10 = 15. 20% = 2 × 15 = 30.
  5. Answer. 30
Answer: 30
Watch outStart by finding 10%, then build up.
Q64.Find 5% of 40.
Building 5%5%5% = 5%
(1 mark)
  1. Read it. Find 5% of 40.
  2. The fact. 5% = half of 10%.
  3. The numbers. 5% of 40.
  4. Do the maths. 10% = 4. 5% = half of 10% = 2.
  5. Answer. 2
Answer: 2
Watch outStart by finding 10%, then build up.
Q65.Find 5% of 80.
Building 5%5%5% = 5%
(1 mark)
  1. Read it. Find 5% of 80.
  2. The fact. 5% = half of 10%.
  3. The numbers. 5% of 80.
  4. Do the maths. 10% = 8. 5% = half of 10% = 4.
  5. Answer. 4
Answer: 4
Watch outStart by finding 10%, then build up.
Q66.Find 15% of 40.
Building 15%10%5%15% = 10% + 5%
(1 mark)
  1. Read it. Find 15% of 40.
  2. The fact. 15% = 10% + 5%.
  3. The numbers. 15% of 40.
  4. Do the maths. 10% = 4. 5% = 2. 15% = 10% + 5% = 6.
  5. Answer. 6
Answer: 6
Watch outStart by finding 10%, then build up.
Q67.Find 15% of 60.
Building 15%10%5%15% = 10% + 5%
(1 mark)
  1. Read it. Find 15% of 60.
  2. The fact. 15% = 10% + 5%.
  3. The numbers. 15% of 60.
  4. Do the maths. 10% = 6. 5% = 3. 15% = 10% + 5% = 9.
  5. Answer. 9
Answer: 9
Watch outStart by finding 10%, then build up.
Q68.Find 15% of 200.
Building 15%10%5%15% = 10% + 5%
(1 mark)
  1. Read it. Find 15% of 200.
  2. The fact. 15% = 10% + 5%.
  3. The numbers. 15% of 200.
  4. Do the maths. 10% = 20. 5% = 10. 15% = 10% + 5% = 30.
  5. Answer. 30
Answer: 30
Watch outStart by finding 10%, then build up.
Q69.Find 30% of 50.
Building 30%10%10%10%30% = 10% + 10% + 10%
(1 mark)
  1. Read it. Find 30% of 50.
  2. The fact. 30% = 10% × 3.
  3. The numbers. 30% of 50.
  4. Do the maths. 10% = 5. 30% = 3 × 10% = 15.
  5. Answer. 15
Answer: 15
Watch outStart by finding 10%, then build up.
Q70.Find 30% of 90.
Building 30%10%10%10%30% = 10% + 10% + 10%
(1 mark)
  1. Read it. Find 30% of 90.
  2. The fact. 30% = 10% × 3.
  3. The numbers. 30% of 90.
  4. Do the maths. 10% = 9. 30% = 3 × 10% = 27.
  5. Answer. 27
Answer: 27
Watch outStart by finding 10%, then build up.
Band D
Section — Building up without diagrams
Same rules, no visual
Q71.Find 20% of 25.
(1 mark)
  1. Read it. Find 20% of 25.
  2. The fact. 20% = 10% × 2.
  3. The numbers. 20% of 25.
  4. Do the maths. 10% = 2.5. 20% = 2 × 2.5 = 5.
  5. Answer. 5
Answer: 5
Watch outFind 10% first — everything builds from it.
Q72.Find 20% of 65.
(1 mark)
  1. Read it. Find 20% of 65.
  2. The fact. 20% = 10% × 2.
  3. The numbers. 20% of 65.
  4. Do the maths. 10% = 6.5. 20% = 2 × 6.5 = 13.
  5. Answer. 13
Answer: 13
Watch outFind 10% first — everything builds from it.
Q73.Find 5% of 60.
(1 mark)
  1. Read it. Find 5% of 60.
  2. The fact. 5% = 10% ÷ 2.
  3. The numbers. 5% of 60.
  4. Do the maths. 10% = 6. 5% = half of 10% = 3.
  5. Answer. 3
Answer: 3
Watch outFind 10% first — everything builds from it.
Q74.Find 5% of 100.
(1 mark)
  1. Read it. Find 5% of 100.
  2. The fact. 5% = 10% ÷ 2.
  3. The numbers. 5% of 100.
  4. Do the maths. 10% = 10. 5% = half of 10% = 5.
  5. Answer. 5
Answer: 5
Watch outFind 10% first — everything builds from it.
Q75.Find 15% of 100.
(1 mark)
  1. Read it. Find 15% of 100.
  2. The fact. 15% = 10% + 5%.
  3. The numbers. 15% of 100.
  4. Do the maths. 10% = 10. 5% = 5.0. 15% = 15.
  5. Answer. 15
Answer: 15
Watch outFind 10% first — everything builds from it.
Q76.Find 15% of 80.
(1 mark)
  1. Read it. Find 15% of 80.
  2. The fact. 15% = 10% + 5%.
  3. The numbers. 15% of 80.
  4. Do the maths. 10% = 8. 5% = 4.0. 15% = 12.
  5. Answer. 12
Answer: 12
Watch outFind 10% first — everything builds from it.
Q77.Find 30% of 100.
(1 mark)
  1. Read it. Find 30% of 100.
  2. The fact. 30% = 10% × 3.
  3. The numbers. 30% of 100.
  4. Do the maths. 10% = 10. 30% = 3 × 10% = 30.
  5. Answer. 30
Answer: 30
Watch outFind 10% first — everything builds from it.
Q78.Find 30% of 40.
(1 mark)
  1. Read it. Find 30% of 40.
  2. The fact. 30% = 10% × 3.
  3. The numbers. 30% of 40.
  4. Do the maths. 10% = 4. 30% = 3 × 10% = 12.
  5. Answer. 12
Answer: 12
Watch outFind 10% first — everything builds from it.
Q79.Find 20% of 200.
(1 mark)
  1. Read it. Find 20% of 200.
  2. The fact. 20% = 10% × 2.
  3. The numbers. 20% of 200.
  4. Do the maths. 10% = 20. 20% = 2 × 20 = 40.
  5. Answer. 40
Answer: 40
Watch outFind 10% first — everything builds from it.
Q80.Find 30% of 200.
(1 mark)
  1. Read it. Find 30% of 200.
  2. The fact. 30% = 10% × 3.
  3. The numbers. 30% of 200.
  4. Do the maths. 10% = 20. 30% = 3 × 10% = 60.
  5. Answer. 60
Answer: 60
Watch outFind 10% first — everything builds from it.
Band E
Section — Hardest — real problems
Multiples of 10% + discount / tip / test / class problems
Q81.Find 40% of 50.
Building 40%10%10%10%10%40% = 10% + 10% + 10% + 10%
(1 mark)
  1. Read it. Find 40% of 50.
  2. The fact. 40% = 10% × 4.
  3. The numbers. 40% of 50.
  4. Do the maths. 10% of 50 = 5. 40% = 4 × 5 = 20.
  5. Answer. 20
Answer: 20
Watch outMultiples of 10% are just repeated 10%s.
Q82.Find 40% of 200.
Building 40%10%10%10%10%40% = 10% + 10% + 10% + 10%
(1 mark)
  1. Read it. Find 40% of 200.
  2. The fact. 40% = 10% × 4.
  3. The numbers. 40% of 200.
  4. Do the maths. 10% of 200 = 20. 40% = 4 × 20 = 80.
  5. Answer. 80
Answer: 80
Watch outMultiples of 10% are just repeated 10%s.
Q83.Find 40% of 30.
Building 40%10%10%10%10%40% = 10% + 10% + 10% + 10%
(1 mark)
  1. Read it. Find 40% of 30.
  2. The fact. 40% = 10% × 4.
  3. The numbers. 40% of 30.
  4. Do the maths. 10% of 30 = 3. 40% = 4 × 3 = 12.
  5. Answer. 12
Answer: 12
Watch outMultiples of 10% are just repeated 10%s.
Q84.Find 60% of 80.
Building 60%10%10%10%10%10%10%60% = 10% + 10% + 10% + 10% + 10% + 10%
(1 mark)
  1. Read it. Find 60% of 80.
  2. The fact. 60% = 10% × 6.
  3. The numbers. 60% of 80.
  4. Do the maths. 10% of 80 = 8. 60% = 6 × 8 = 48.
  5. Answer. 48
Answer: 48
Watch outMultiples of 10% are just repeated 10%s.
Q85.Find 60% of 150.
Building 60%10%10%10%10%10%10%60% = 10% + 10% + 10% + 10% + 10% + 10%
(1 mark)
  1. Read it. Find 60% of 150.
  2. The fact. 60% = 10% × 6.
  3. The numbers. 60% of 150.
  4. Do the maths. 10% of 150 = 15. 60% = 6 × 15 = 90.
  5. Answer. 90
Answer: 90
Watch outMultiples of 10% are just repeated 10%s.
Q86.Find 60% of 40.
Building 60%10%10%10%10%10%10%60% = 10% + 10% + 10% + 10% + 10% + 10%
(1 mark)
  1. Read it. Find 60% of 40.
  2. The fact. 60% = 10% × 6.
  3. The numbers. 60% of 40.
  4. Do the maths. 10% of 40 = 4. 60% = 6 × 4 = 24.
  5. Answer. 24
Answer: 24
Watch outMultiples of 10% are just repeated 10%s.
Q87.Find 90% of 100.
Building 90%10%10%10%10%10%10%10%10%10%90% = 10% + 10% + 10% + 10% + 10% + 10% + 10% + 10% + 10%
(1 mark)
  1. Read it. Find 90% of 100.
  2. The fact. 90% = 10% × 9.
  3. The numbers. 90% of 100.
  4. Do the maths. 10% of 100 = 10. 90% = 9 × 10 = 90.
  5. Answer. 90
Answer: 90
Watch outMultiples of 10% are just repeated 10%s.
Q88.Find 90% of 50.
Building 90%10%10%10%10%10%10%10%10%10%90% = 10% + 10% + 10% + 10% + 10% + 10% + 10% + 10% + 10%
(1 mark)
  1. Read it. Find 90% of 50.
  2. The fact. 90% = 10% × 9.
  3. The numbers. 90% of 50.
  4. Do the maths. 10% of 50 = 5. 90% = 9 × 5 = 45.
  5. Answer. 45
Answer: 45
Watch outMultiples of 10% are just repeated 10%s.
Q89.Find 90% of 20.
Building 90%10%10%10%10%10%10%10%10%10%90% = 10% + 10% + 10% + 10% + 10% + 10% + 10% + 10% + 10%
(1 mark)
  1. Read it. Find 90% of 20.
  2. The fact. 90% = 10% × 9.
  3. The numbers. 90% of 20.
  4. Do the maths. 10% of 20 = 2. 90% = 9 × 2 = 18.
  5. Answer. 18
Answer: 18
Watch outMultiples of 10% are just repeated 10%s.
Q90.Find 70% of 60.
Building 70%10%10%10%10%10%10%10%70% = 10% + 10% + 10% + 10% + 10% + 10% + 10%
(1 mark)
  1. Read it. Find 70% of 60.
  2. The fact. 70% = 10% × 7.
  3. The numbers. 70% of 60.
  4. Do the maths. 10% of 60 = 6. 70% = 7 × 6 = 42.
  5. Answer. 42
Answer: 42
Watch outMultiples of 10% are just repeated 10%s.
Q91.Find 80% of 25.
Building 80%10%10%10%10%10%10%10%10%80% = 10% + 10% + 10% + 10% + 10% + 10% + 10% + 10%
(1 mark)
  1. Read it. Find 80% of 25.
  2. The fact. 80% = 10% × 8.
  3. The numbers. 80% of 25.
  4. Do the maths. 10% of 25 = 2.5. 80% = 8 × 2.5 = 20.
  5. Answer. 20
Answer: 20
Watch outMultiples of 10% are just repeated 10%s.
Q92.A book costs £40. There is a 20% discount. How much do you PAY (in £)?
Total (100%) = 4080%0%25%50%75%100%80% of 40 = 32
(1 mark)
  1. Read it. A book costs £40. There is a 20% discount. How much do you PAY (in £)?
  2. The fact. Discount = original × %. Pay = original − discount.
  3. The numbers. £40, 20% off.
  4. Do the maths. 20% of £40 = £8 discount. Pay = £40 − £8 = £32.
  5. Answer. 32
Answer: 32
Watch out"Pay" is the original MINUS the discount.
Q93.You save 10% on a £60 phone. How much do you SAVE (in £)?
Total (100%) = 6010%0%25%50%75%100%10% of 60 = 6
(1 mark)
  1. Read it. You save 10% on a £60 phone. How much do you SAVE (in £)?
  2. The fact. Saving = original × %.
  3. The numbers. 10% of £60.
  4. Do the maths. 10% of £60 = £6.
  5. Answer. 6
Answer: 6
Watch outThe question asks for the SAVING, not the price paid.
Q94.Shoes cost £80. There is a 25% discount. How much is the DISCOUNT (in £)?
Total (100%) = 8025%0%25%50%75%100%25% of 80 = 20
(1 mark)
  1. Read it. Shoes cost £80. There is a 25% discount. How much is the DISCOUNT (in £)?
  2. The fact. Discount = original × %.
  3. The numbers. 25% of £80.
  4. Do the maths. 25% of £80 = £20.
  5. Answer. 20
Answer: 20
Watch outThis asks for the DISCOUNT amount, not the price.
Q95.A test has 40 questions. You get 75% right. How many questions did you get right?
Total (100%) = 4075%0%25%50%75%100%75% of 40 = 30
(1 mark)
  1. Read it. A test has 40 questions. You get 75% right. How many questions did you get right?
  2. The fact. Number right = total × %.
  3. The numbers. 75% of 40.
  4. Do the maths. 75% of 40 = 30.
  5. Answer. 30
Answer: 30
Watch outThe % applies to the whole test.
Q96.A class has 30 pupils. 20% of them wear glasses. How many pupils wear glasses?
Total (100%) = 3020%0%25%50%75%100%20% of 30 = 6
(1 mark)
  1. Read it. A class has 30 pupils. 20% of them wear glasses. How many pupils wear glasses?
  2. The fact. Number who wear = total × %.
  3. The numbers. 20% of 30.
  4. Do the maths. 20% of 30 = 6.
  5. Answer. 6
Answer: 6
Watch outRead the question carefully — you're finding a count, not a percentage.
Q97.A restaurant bill is £60. You leave a 10% tip. How much is the tip (in £)?
Total (100%) = 6010%0%25%50%75%100%10% of 60 = 6
(1 mark)
  1. Read it. A restaurant bill is £60. You leave a 10% tip. How much is the tip (in £)?
  2. The fact. Tip = bill × %.
  3. The numbers. 10% of £60.
  4. Do the maths. 10% of £60 = £6.
  5. Answer. 6
Answer: 6
Watch outThe question asks for the TIP amount, not the total.
Q98.A class has 40 pupils. 25% of them wear glasses. How many pupils wear glasses?
Total (100%) = 4025%0%25%50%75%100%25% of 40 = 10
(1 mark)
  1. Read it. A class has 40 pupils. 25% of them wear glasses. How many pupils wear glasses?
  2. The fact. Number who wear = total × %.
  3. The numbers. 25% of 40.
  4. Do the maths. 25% of 40 = 10.
  5. Answer. 10
Answer: 10
Watch outRead the question carefully — you're finding a count, not a percentage.
Q99.You save 15% on a £200 phone. How much do you SAVE (in £)?
Total (100%) = 20015%0%25%50%75%100%15% of 200 = 30
(1 mark)
  1. Read it. You save 15% on a £200 phone. How much do you SAVE (in £)?
  2. The fact. Saving = original × %.
  3. The numbers. 15% of £200.
  4. Do the maths. 15% of £200 = £30.
  5. Answer. 30
Answer: 30
Watch outThe question asks for the SAVING, not the price paid.
Q100.A test has 60 questions. You get 50% right. How many questions did you get right?
Total (100%) = 6050%0%25%50%75%100%50% of 60 = 30
(1 mark)
  1. Read it. A test has 60 questions. You get 50% right. How many questions did you get right?
  2. The fact. Number right = total × %.
  3. The numbers. 50% of 60.
  4. Do the maths. 50% of 60 = 30.
  5. Answer. 30
Answer: 30
Watch outThe % applies to the whole test.

Answer key — all 100

The rule and the working for each question.

QAnswerTypeWorking
Q10.1pct_to_dec= 0.1.
Q20.2pct_to_dec= 0.2.
Q30.25pct_to_dec= 0.25.
Q40.3pct_to_dec= 0.3.
Q50.4pct_to_dec= 0.4.
Q60.5pct_to_dec= 0.5.
Q70.6pct_to_dec= 0.6.
Q80.7pct_to_dec= 0.7.
Q90.75pct_to_dec= 0.75.
Q100.8pct_to_dec= 0.8.
Q110.15pct_to_dec= 0.15.
Q120.35pct_to_dec= 0.35.
Q130.45pct_to_dec= 0.45.
Q140.55pct_to_dec= 0.55.
Q150.65pct_to_dec= 0.65.
Q160.85pct_to_dec= 0.85.
Q170.9pct_to_dec= 0.9.
Q180.95pct_to_dec= 0.95.
Q190.05pct_to_dec= 0.05.
Q201.0pct_to_dec= 1.0.
Q218pct_of80 ÷ 10 = 8.
Q2212pct_of120 ÷ 10 = 12.
Q2325pct_of250 ÷ 10 = 25.
Q2440pct_of400 ÷ 10 = 40.
Q2530pct_of60 ÷ 2 = 30.
Q2645pct_of90 ÷ 2 = 45.
Q2775pct_of150 ÷ 2 = 75.
Q2810pct_of40 ÷ 4 = 10.
Q2920pct_of80 ÷ 4 = 20.
Q3030pct_of120 ÷ 4 = 30.
Q310.45pct_to_dec45 ÷ 100 = 0.45.
Q3230dec_to_pct0.3 × 100 = 30.
Q330.68pct_to_dec68 ÷ 100 = 0.68.
Q3485dec_to_pct0.85 × 100 = 85.
Q350.12pct_to_dec12 ÷ 100 = 0.12.
Q369dec_to_pct0.09 × 100 = 9.
Q370.03pct_to_dec3 ÷ 100 = 0.03.
Q38100dec_to_pct1.0 × 100 = 100.
Q390.07pct_to_dec7 ÷ 100 = 0.07.
Q4040dec_to_pct0.4 × 100 = 40.
Q413pct_of30 ÷ 10 = 3.
Q429pct_of90 ÷ 10 = 9.
Q4325pct_of250 ÷ 10 = 25.
Q4460pct_of600 ÷ 10 = 60.
Q4570pct_of700 ÷ 10 = 70.
Q4650pct_of100 ÷ 2 = 50.
Q47120pct_of240 ÷ 2 = 120.
Q4822pct_of44 ÷ 2 = 22.
Q4945pct_of90 ÷ 2 = 45.
Q5090pct_of180 ÷ 2 = 90.
Q515pct_of20 ÷ 4 = 5.
Q5215pct_of60 ÷ 4 = 15.
Q5325pct_of100 ÷ 4 = 25.
Q5450pct_of200 ÷ 4 = 50.
Q5580pct_of320 ÷ 4 = 80.
Q5630pct_of25% = 40 ÷ 4 = 10. 75% = 3 × 10 = 30.
Q5760pct_of25% = 80 ÷ 4 = 20. 75% = 3 × 20 = 60.
Q58150pct_of25% = 200 ÷ 4 = 50. 75% = 3 × 50 = 150.
Q59300pct_of25% = 400 ÷ 4 = 100. 75% = 3 × 100 = 300.
Q6018pct_of25% = 24 ÷ 4 = 6. 75% = 3 × 6 = 18.
Q6110pct_of10% = 50 ÷ 10 = 5. 20% = 2 × 5 = 10.
Q6216pct_of10% = 80 ÷ 10 = 8. 20% = 2 × 8 = 16.
Q6330pct_of10% = 150 ÷ 10 = 15. 20% = 2 × 15 = 30.
Q642pct_of10% = 4. 5% = half of 10% = 2.
Q654pct_of10% = 8. 5% = half of 10% = 4.
Q666pct_of10% = 4. 5% = 2. 15% = 10% + 5% = 6.
Q679pct_of10% = 6. 5% = 3. 15% = 10% + 5% = 9.
Q6830pct_of10% = 20. 5% = 10. 15% = 10% + 5% = 30.
Q6915pct_of10% = 5. 30% = 3 × 10% = 15.
Q7027pct_of10% = 9. 30% = 3 × 10% = 27.
Q715pct_of10% = 2.5. 20% = 2 × 2.5 = 5.
Q7213pct_of10% = 6.5. 20% = 2 × 6.5 = 13.
Q733pct_of10% = 6. 5% = half of 10% = 3.
Q745pct_of10% = 10. 5% = half of 10% = 5.
Q7515pct_of10% = 10. 5% = 5.0. 15% = 15.
Q7612pct_of10% = 8. 5% = 4.0. 15% = 12.
Q7730pct_of10% = 10. 30% = 3 × 10% = 30.
Q7812pct_of10% = 4. 30% = 3 × 10% = 12.
Q7940pct_of10% = 20. 20% = 2 × 20 = 40.
Q8060pct_of10% = 20. 30% = 3 × 10% = 60.
Q8120pct_of10% of 50 = 5. 40% = 4 × 5 = 20.
Q8280pct_of10% of 200 = 20. 40% = 4 × 20 = 80.
Q8312pct_of10% of 30 = 3. 40% = 4 × 3 = 12.
Q8448pct_of10% of 80 = 8. 60% = 6 × 8 = 48.
Q8590pct_of10% of 150 = 15. 60% = 6 × 15 = 90.
Q8624pct_of10% of 40 = 4. 60% = 6 × 4 = 24.
Q8790pct_of10% of 100 = 10. 90% = 9 × 10 = 90.
Q8845pct_of10% of 50 = 5. 90% = 9 × 5 = 45.
Q8918pct_of10% of 20 = 2. 90% = 9 × 2 = 18.
Q9042pct_of10% of 60 = 6. 70% = 7 × 6 = 42.
Q9120pct_of10% of 25 = 2.5. 80% = 8 × 2.5 = 20.
Q9232word_discount20% of £40 = £8 discount. Pay = £40 − £8 = £32.
Q936word_saved10% of £60 = £6.
Q9420word_shoes25% of £80 = £20.
Q9530word_test75% of 40 = 30.
Q966word_class20% of 30 = 6.
Q976word_bill10% of £60 = £6.
Q9810word_class25% of 40 = 10.
Q9930word_saved15% of £200 = £30.
Q10030word_test50% of 60 = 30.
/ 100

Answer key & mark scheme

QAnswerRule usedWorking
Q114Linear sequence: continue by common differenced = +3; 11 + 3 = 14
Q213Linear sequence: continue by common differenced = +2; 11 + 2 = 13
Q317Linear sequence: continue by common differenced = +4; 13 + 4 = 17
Q430Linear sequence: continue by common differenced = +5; 25 + 5 = 30
Q519Linear sequence: continue by common differenced = +3; 16 + 3 = 19
Q628Linear sequence: continue by common differenced = +6; 22 + 6 = 28
Q728Linear sequence: continue by common differenced = +7; 21 + 7 = 28
Q817Linear sequence: continue by common differenced = +2; 15 + 2 = 17
Q935Linear sequence: continue by common differenced = +8; 27 + 8 = 35
Q1024Linear sequence: continue by common differenced = +3; 21 + 3 = 24
Q1122Linear sequence: continue by common differenced = +4; 18 + 4 = 22
Q1235Linear sequence: continue by common differenced = +5; 30 + 5 = 35
Q1336Linear sequence: continue by common differenced = +7; 29 + 7 = 36
Q1438Linear sequence: continue by common differenced = +9; 29 + 9 = 38
Q1527Linear sequence: continue by common differenced = +4; 23 + 4 = 27
Q1623Linear sequence: continue by common differenced = +5; 18 + 5 = 23
Q1732Linear sequence: continue by common differenced = +3; 29 + 3 = 32
Q1838Linear sequence: continue by common differenced = +6; 32 + 6 = 38
Q1933Linear sequence: continue by common differenced = +8; 25 + 8 = 33
Q2014Linear sequence: continue by common differenced = +2; 12 + 2 = 14
Q2190Linear sequence: continue by common differenced = +10; 80 + 10 = 90
Q2280Linear sequence: continue by common differenced = -5; 85 − 5 = 80
Q2348Linear sequence: continue by common differenced = +7; 41 + 7 = 48
Q2414Linear sequence: continue by common differenced = -4; 18 − 4 = 14
Q25105Linear sequence: continue by common differenced = +15; 90 + 15 = 105
Q2652Linear sequence: continue by common differenced = +11; 41 + 11 = 52
Q2732Linear sequence: continue by common differenced = -7; 39 − 7 = 32
Q2849Linear sequence: continue by common differenced = +9; 40 + 9 = 49
Q2948Linear sequence: continue by common differenced = -8; 56 − 8 = 48
Q3073Linear sequence: continue by common differenced = +12; 61 + 12 = 73
Q3131Linear sequence: find term by extendinga₁ = 4, d = +3; term 10 = 31
Q3236Linear sequence: find term by extendinga₁ = 1, d = +5; term 8 = 36
Q3351Linear sequence: find term by extendinga₁ = 7, d = +4; term 12 = 51
Q3450Linear sequence: find term by extendinga₁ = 2, d = +6; term 9 = 50
Q3552Linear sequence: find term by extendinga₁ = 10, d = +3; term 15 = 52
Q3668Linear sequence: find term by extendinga₁ = 5, d = +7; term 10 = 68
Q3766Linear sequence: find term by extendinga₁ = 3, d = +9; term 8 = 66
Q3858Linear sequence: find term by extendinga₁ = 8, d = +5; term 11 = 58
Q3977Linear sequence: find term by extendinga₁ = 1, d = +4; term 20 = 77
Q4078Linear sequence: find term by extendinga₁ = 6, d = +8; term 10 = 78
Q4132Geometric sequence: multiply by ratior = 2; 16 × 2 = 32
Q42243Geometric sequence: multiply by ratior = 3; 81 × 3 = 243
Q43625Geometric sequence: multiply by ratior = 5; 125 × 5 = 625
Q4464Geometric sequence: multiply by ratior = 2; 32 × 2 = 64
Q4580Geometric sequence: multiply by ratior = 2; 40 × 2 = 80
Q46162Geometric sequence: multiply by ratior = 3; 54 × 3 = 162
Q4796Geometric sequence: multiply by ratior = 2; 48 × 2 = 96
Q4810000Geometric sequence: multiply by ratior = 10; 1000 × 10 = 10000
Q49768Geometric sequence: multiply by ratior = 4; 192 × 4 = 768
Q501250Geometric sequence: multiply by ratior = 5; 250 × 5 = 1250
Q514Common difference7 − 3 = 4
Q527Common difference17 − 10 = 7
Q5311Common difference13 − 2 = 11
Q54-5Common difference15 − 20 = -5
Q559Common difference14 − 5 = 9
Q5631Check membership in linear sequenced = +4; lands exactly on 31
Q570Check membership in linear sequenced = +4; misses 30
Q5850Check membership in linear sequenced = +6; lands exactly on 50
Q590Check membership in linear sequenced = +7; misses 60
Q6033Check membership in linear sequenced = +4; lands exactly on 33
Q6125Square numbers: n × n5 × 5 = 25
Q6236Square numbers: n × n6 × 6 = 36
Q6349Square numbers: n × n7 × 7 = 49
Q6464Square numbers: n × n8 × 8 = 64
Q6581Square numbers: n × n9 × 9 = 81
Q6615Triangular numbers: gap grows by 1next gap = +5; 10 + 5 = 15
Q6721Triangular numbers: gap grows by 1next gap = +6; 15 + 6 = 21
Q6821Triangular numbers: gap grows by 1next gap = +6; 15 + 6 = 21
Q6928Triangular numbers: gap grows by 1next gap = +7; 21 + 7 = 28
Q7036Triangular numbers: gap grows by 1next gap = +8; 28 + 8 = 36
Q7113Fibonacci-style: term = sum of two before5 + 8 = 13
Q7226Fibonacci-style: term = sum of two before10 + 16 = 26
Q7321Fibonacci-style: term = sum of two before8 + 13 = 21
Q7439Fibonacci-style: term = sum of two before15 + 24 = 39
Q7565Fibonacci-style: term = sum of two before25 + 40 = 65
Q7629Fibonacci-style: term = sum of two before11 + 18 = 29
Q7734Fibonacci-style: term = sum of two before13 + 21 = 34
Q7837Fibonacci-style: term = sum of two before14 + 23 = 37
Q7955Fibonacci-style: term = sum of two before21 + 34 = 55
Q8076Fibonacci-style: term = sum of two before29 + 47 = 76
Q8113Dot pattern: linear sequenced = +3; pattern 5 = 13
Q8217Dot pattern: linear sequenced = +3; pattern 6 = 17
Q8327Dot pattern: linear sequenced = +4; pattern 7 = 27
Q8422Dot pattern: linear sequenced = +2; pattern 10 = 22
Q8525Dot pattern: linear sequenced = +4; pattern 6 = 25
Q8630Dot pattern: linear sequenced = +4; pattern 8 = 30
Q8725Dot pattern: linear sequenced = +4; pattern 7 = 25
Q8823Dot pattern: linear sequenced = +5; pattern 5 = 23
Q8928Dot pattern: linear sequenced = +6; pattern 5 = 28
Q9031Dot pattern: linear sequenced = +5; pattern 7 = 31
Q9132Identify sequence type (geometric ×2)Next term = 32
Q9248Identify sequence type (geometric ×2)Next term = 48
Q9325Identify sequence type (square)Next term = 25
Q9415Identify sequence type (triangular)Next term = 15
Q9513Identify sequence type (fibonacci)Next term = 13
Q9671Linear sequence: find term by extendinga₁ = 5, d = +6; term 12 = 71
Q9775Linear sequence: find term by extendinga₁ = 3, d = +8; term 10 = 75
Q9899Linear sequence: find term by extendinga₁ = 1, d = +7; term 15 = 99
Q99100Linear sequence: find term by extendinga₁ = 10, d = +9; term 11 = 100
Q10092Linear sequence: find term by extendinga₁ = 4, d = +11; term 9 = 92
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