Five bands, easy to hardest, all within Grade 2.
The rule and the working for each question.
| Q | Answer | Type | Working |
|---|---|---|---|
| Q1 | 1 | convert | 10 ÷ 10 = 1. |
| Q2 | 3 | convert | 30 ÷ 10 = 3. |
| Q3 | 5 | convert | 50 ÷ 10 = 5. |
| Q4 | 7.5 | convert | 75 ÷ 10 = 7.5. |
| Q5 | 9 | convert | 90 ÷ 10 = 9. |
| Q6 | 2.5 | convert | 25 ÷ 10 = 2.5. |
| Q7 | 4.5 | convert | 45 ÷ 10 = 4.5. |
| Q8 | 6 | convert | 60 ÷ 10 = 6. |
| Q9 | 8 | convert | 80 ÷ 10 = 8. |
| Q10 | 10 | convert | 100 ÷ 10 = 10. |
| Q11 | 20 | convert | 2 × 10 = 20. |
| Q12 | 40 | convert | 4 × 10 = 40. |
| Q13 | 50 | convert | 5 × 10 = 50. |
| Q14 | 65 | convert | 6.5 × 10 = 65. |
| Q15 | 80 | convert | 8 × 10 = 80. |
| Q16 | 35 | convert | 3.5 × 10 = 35. |
| Q17 | 70 | convert | 7 × 10 = 70. |
| Q18 | 95 | convert | 9.5 × 10 = 95. |
| Q19 | 15 | convert | 1.5 × 10 = 15. |
| Q20 | 120 | convert | 12 × 10 = 120. |
| Q21 | 2.5 | convert | 250 ÷ 100 = 2.5. |
| Q22 | 4.5 | convert | 450 ÷ 100 = 4.5. |
| Q23 | 6.2 | convert | 620 ÷ 100 = 6.2. |
| Q24 | 0.85 | convert | 85 ÷ 100 = 0.85. |
| Q25 | 10 | convert | 1000 ÷ 100 = 10. |
| Q26 | 250 | convert | 2.5 × 100 = 250. |
| Q27 | 375 | convert | 3.75 × 100 = 375. |
| Q28 | 60 | convert | 0.6 × 100 = 60. |
| Q29 | 185 | convert | 1.85 × 100 = 185. |
| Q30 | 1000 | convert | 10 × 100 = 1000. |
| Q31 | 3.5 | convert | 35 ÷ 10 = 3.5. |
| Q32 | 70 | convert | 7 × 10 = 70. |
| Q33 | 1.8 | convert | 180 ÷ 100 = 1.8. |
| Q34 | 90 | convert | 0.9 × 100 = 90. |
| Q35 | 15 | convert | 150 ÷ 10 = 15. |
| Q36 | 120 | convert | 12 × 10 = 120. |
| Q37 | 3.25 | convert | 325 ÷ 100 = 3.25. |
| Q38 | 460 | convert | 4.6 × 100 = 460. |
| Q39 | 6.5 | convert | 65 ÷ 10 = 6.5. |
| Q40 | 85 | convert | 8.5 × 10 = 85. |
| Q41 | 2 | convert | 2000 ÷ 1000 = 2. |
| Q42 | 5.5 | convert | 5500 ÷ 1000 = 5.5. |
| Q43 | 0.75 | convert | 750 ÷ 1000 = 0.75. |
| Q44 | 12 | convert | 12000 ÷ 1000 = 12. |
| Q45 | 8.25 | convert | 8250 ÷ 1000 = 8.25. |
| Q46 | 1500 | convert | 1.5 × 1000 = 1500. |
| Q47 | 3200 | convert | 3.2 × 1000 = 3200. |
| Q48 | 400 | convert | 0.4 × 1000 = 400. |
| Q49 | 7500 | convert | 7.5 × 1000 = 7500. |
| Q50 | 10000 | convert | 10 × 1000 = 10000. |
| Q51 | 2 | convert | 2000 ÷ 1000 = 2. |
| Q52 | 3.5 | convert | 3500 ÷ 1000 = 3.5. |
| Q53 | 0.75 | convert | 750 ÷ 1000 = 0.75. |
| Q54 | 5.25 | convert | 5250 ÷ 1000 = 5.25. |
| Q55 | 10 | convert | 10000 ÷ 1000 = 10. |
| Q56 | 1500 | convert | 1.5 × 1000 = 1500. |
| Q57 | 750 | convert | 0.75 × 1000 = 750. |
| Q58 | 2400 | convert | 2.4 × 1000 = 2400. |
| Q59 | 200 | convert | 0.2 × 1000 = 200. |
| Q60 | 8000 | convert | 8 × 1000 = 8000. |
| Q61 | 0.5 | convert | 500 ÷ 1000 = 0.5. |
| Q62 | 1.25 | convert | 1250 ÷ 1000 = 1.25. |
| Q63 | 0.75 | convert | 750 ÷ 1000 = 0.75. |
| Q64 | 2.5 | convert | 2500 ÷ 1000 = 2.5. |
| Q65 | 0.1 | convert | 100 ÷ 1000 = 0.1. |
| Q66 | 1500 | convert | 1.5 × 1000 = 1500. |
| Q67 | 750 | convert | 0.75 × 1000 = 750. |
| Q68 | 2250 | convert | 2.25 × 1000 = 2250. |
| Q69 | 200 | convert | 0.2 × 1000 = 200. |
| Q70 | 5000 | convert | 5 × 1000 = 5000. |
| Q71 | 0.45 | convert | 450 ÷ 1000 = 0.45. |
| Q72 | 350 | convert | 0.35 × 1000 = 350. |
| Q73 | 0.3 | convert | 300 ÷ 1000 = 0.3. |
| Q74 | 800 | convert | 0.8 × 1000 = 800. |
| Q75 | 1.25 | convert | 1250 ÷ 1000 = 1.25. |
| Q76 | 1600 | convert | 1.6 × 1000 = 1600. |
| Q77 | 4.5 | convert | 4500 ÷ 1000 = 4.5. |
| Q78 | 150 | convert | 0.15 × 1000 = 150. |
| Q79 | 0.275 | convert | 275 ÷ 1000 = 0.275. |
| Q80 | 2750 | convert | 2.75 × 1000 = 2750. |
| Q81 | 4.5 | convert | 4500 ÷ 1000 = 4.5. |
| Q82 | 2500 | convert | 2.5 × 1000 = 2500. |
| Q83 | 3000 | convert | 0.03 × 100000 = 3000. |
| Q84 | 5 | convert | 500000 ÷ 100000 = 5. |
| Q85 | 0.75 | convert | 750 ÷ 1000 = 0.75. |
| Q86 | 8 | convert | 0.008 × 1000 = 8. |
| Q87 | 12.5 | convert | 12500 ÷ 1000 = 12.5. |
| Q88 | 500 | convert | 0.5 × 1000 = 500. |
| Q89 | 150000 | convert | 1.5 × 100000 = 150000. |
| Q90 | 75 | convert | 75000 ÷ 1000 = 75. |
| Q91 | 2.5 | convert_word | 250 ÷ 100 = 2.5 m. |
| Q92 | 1500 | convert_word | 1.5 × 1000 = 1500 ml. |
| Q93 | 4.2 | convert_word | 4200 ÷ 1000 = 4.2 m. |
| Q94 | 0.75 | convert_word | 750 ÷ 1000 = 0.75 kg. |
| Q95 | 3500 | convert_word | 3.5 × 1000 = 3500 m. |
| Q96 | 0.25 | convert_word | 250 ÷ 1000 = 0.25 l. |
| Q97 | 300 | convert_word | 30 × 10 = 300 mm. |
| Q98 | 2400 | convert_word | 2.4 × 1000 = 2400 g. |
| Q99 | 0.2 | convert_word | 200 ÷ 1000 = 0.2 km. |
| Q100 | 3500000 | convert_word | 3500 × 1000 = 3500000 ml. |
| Q | Answer | Rule used | Working |
|---|---|---|---|
| Q1 | 14 | Linear sequence: continue by common difference | d = +3; 11 + 3 = 14 |
| Q2 | 13 | Linear sequence: continue by common difference | d = +2; 11 + 2 = 13 |
| Q3 | 17 | Linear sequence: continue by common difference | d = +4; 13 + 4 = 17 |
| Q4 | 30 | Linear sequence: continue by common difference | d = +5; 25 + 5 = 30 |
| Q5 | 19 | Linear sequence: continue by common difference | d = +3; 16 + 3 = 19 |
| Q6 | 28 | Linear sequence: continue by common difference | d = +6; 22 + 6 = 28 |
| Q7 | 28 | Linear sequence: continue by common difference | d = +7; 21 + 7 = 28 |
| Q8 | 17 | Linear sequence: continue by common difference | d = +2; 15 + 2 = 17 |
| Q9 | 35 | Linear sequence: continue by common difference | d = +8; 27 + 8 = 35 |
| Q10 | 24 | Linear sequence: continue by common difference | d = +3; 21 + 3 = 24 |
| Q11 | 22 | Linear sequence: continue by common difference | d = +4; 18 + 4 = 22 |
| Q12 | 35 | Linear sequence: continue by common difference | d = +5; 30 + 5 = 35 |
| Q13 | 36 | Linear sequence: continue by common difference | d = +7; 29 + 7 = 36 |
| Q14 | 38 | Linear sequence: continue by common difference | d = +9; 29 + 9 = 38 |
| Q15 | 27 | Linear sequence: continue by common difference | d = +4; 23 + 4 = 27 |
| Q16 | 23 | Linear sequence: continue by common difference | d = +5; 18 + 5 = 23 |
| Q17 | 32 | Linear sequence: continue by common difference | d = +3; 29 + 3 = 32 |
| Q18 | 38 | Linear sequence: continue by common difference | d = +6; 32 + 6 = 38 |
| Q19 | 33 | Linear sequence: continue by common difference | d = +8; 25 + 8 = 33 |
| Q20 | 14 | Linear sequence: continue by common difference | d = +2; 12 + 2 = 14 |
| Q21 | 90 | Linear sequence: continue by common difference | d = +10; 80 + 10 = 90 |
| Q22 | 80 | Linear sequence: continue by common difference | d = -5; 85 − 5 = 80 |
| Q23 | 48 | Linear sequence: continue by common difference | d = +7; 41 + 7 = 48 |
| Q24 | 14 | Linear sequence: continue by common difference | d = -4; 18 − 4 = 14 |
| Q25 | 105 | Linear sequence: continue by common difference | d = +15; 90 + 15 = 105 |
| Q26 | 52 | Linear sequence: continue by common difference | d = +11; 41 + 11 = 52 |
| Q27 | 32 | Linear sequence: continue by common difference | d = -7; 39 − 7 = 32 |
| Q28 | 49 | Linear sequence: continue by common difference | d = +9; 40 + 9 = 49 |
| Q29 | 48 | Linear sequence: continue by common difference | d = -8; 56 − 8 = 48 |
| Q30 | 73 | Linear sequence: continue by common difference | d = +12; 61 + 12 = 73 |
| Q31 | 31 | Linear sequence: find term by extending | a₁ = 4, d = +3; term 10 = 31 |
| Q32 | 36 | Linear sequence: find term by extending | a₁ = 1, d = +5; term 8 = 36 |
| Q33 | 51 | Linear sequence: find term by extending | a₁ = 7, d = +4; term 12 = 51 |
| Q34 | 50 | Linear sequence: find term by extending | a₁ = 2, d = +6; term 9 = 50 |
| Q35 | 52 | Linear sequence: find term by extending | a₁ = 10, d = +3; term 15 = 52 |
| Q36 | 68 | Linear sequence: find term by extending | a₁ = 5, d = +7; term 10 = 68 |
| Q37 | 66 | Linear sequence: find term by extending | a₁ = 3, d = +9; term 8 = 66 |
| Q38 | 58 | Linear sequence: find term by extending | a₁ = 8, d = +5; term 11 = 58 |
| Q39 | 77 | Linear sequence: find term by extending | a₁ = 1, d = +4; term 20 = 77 |
| Q40 | 78 | Linear sequence: find term by extending | a₁ = 6, d = +8; term 10 = 78 |
| Q41 | 32 | Geometric sequence: multiply by ratio | r = 2; 16 × 2 = 32 |
| Q42 | 243 | Geometric sequence: multiply by ratio | r = 3; 81 × 3 = 243 |
| Q43 | 625 | Geometric sequence: multiply by ratio | r = 5; 125 × 5 = 625 |
| Q44 | 64 | Geometric sequence: multiply by ratio | r = 2; 32 × 2 = 64 |
| Q45 | 80 | Geometric sequence: multiply by ratio | r = 2; 40 × 2 = 80 |
| Q46 | 162 | Geometric sequence: multiply by ratio | r = 3; 54 × 3 = 162 |
| Q47 | 96 | Geometric sequence: multiply by ratio | r = 2; 48 × 2 = 96 |
| Q48 | 10000 | Geometric sequence: multiply by ratio | r = 10; 1000 × 10 = 10000 |
| Q49 | 768 | Geometric sequence: multiply by ratio | r = 4; 192 × 4 = 768 |
| Q50 | 1250 | Geometric sequence: multiply by ratio | r = 5; 250 × 5 = 1250 |
| Q51 | 4 | Common difference | 7 − 3 = 4 |
| Q52 | 7 | Common difference | 17 − 10 = 7 |
| Q53 | 11 | Common difference | 13 − 2 = 11 |
| Q54 | -5 | Common difference | 15 − 20 = -5 |
| Q55 | 9 | Common difference | 14 − 5 = 9 |
| Q56 | 31 | Check membership in linear sequence | d = +4; lands exactly on 31 |
| Q57 | 0 | Check membership in linear sequence | d = +4; misses 30 |
| Q58 | 50 | Check membership in linear sequence | d = +6; lands exactly on 50 |
| Q59 | 0 | Check membership in linear sequence | d = +7; misses 60 |
| Q60 | 33 | Check membership in linear sequence | d = +4; lands exactly on 33 |
| Q61 | 25 | Square numbers: n × n | 5 × 5 = 25 |
| Q62 | 36 | Square numbers: n × n | 6 × 6 = 36 |
| Q63 | 49 | Square numbers: n × n | 7 × 7 = 49 |
| Q64 | 64 | Square numbers: n × n | 8 × 8 = 64 |
| Q65 | 81 | Square numbers: n × n | 9 × 9 = 81 |
| Q66 | 15 | Triangular numbers: gap grows by 1 | next gap = +5; 10 + 5 = 15 |
| Q67 | 21 | Triangular numbers: gap grows by 1 | next gap = +6; 15 + 6 = 21 |
| Q68 | 21 | Triangular numbers: gap grows by 1 | next gap = +6; 15 + 6 = 21 |
| Q69 | 28 | Triangular numbers: gap grows by 1 | next gap = +7; 21 + 7 = 28 |
| Q70 | 36 | Triangular numbers: gap grows by 1 | next gap = +8; 28 + 8 = 36 |
| Q71 | 13 | Fibonacci-style: term = sum of two before | 5 + 8 = 13 |
| Q72 | 26 | Fibonacci-style: term = sum of two before | 10 + 16 = 26 |
| Q73 | 21 | Fibonacci-style: term = sum of two before | 8 + 13 = 21 |
| Q74 | 39 | Fibonacci-style: term = sum of two before | 15 + 24 = 39 |
| Q75 | 65 | Fibonacci-style: term = sum of two before | 25 + 40 = 65 |
| Q76 | 29 | Fibonacci-style: term = sum of two before | 11 + 18 = 29 |
| Q77 | 34 | Fibonacci-style: term = sum of two before | 13 + 21 = 34 |
| Q78 | 37 | Fibonacci-style: term = sum of two before | 14 + 23 = 37 |
| Q79 | 55 | Fibonacci-style: term = sum of two before | 21 + 34 = 55 |
| Q80 | 76 | Fibonacci-style: term = sum of two before | 29 + 47 = 76 |
| Q81 | 13 | Dot pattern: linear sequence | d = +3; pattern 5 = 13 |
| Q82 | 17 | Dot pattern: linear sequence | d = +3; pattern 6 = 17 |
| Q83 | 27 | Dot pattern: linear sequence | d = +4; pattern 7 = 27 |
| Q84 | 22 | Dot pattern: linear sequence | d = +2; pattern 10 = 22 |
| Q85 | 25 | Dot pattern: linear sequence | d = +4; pattern 6 = 25 |
| Q86 | 30 | Dot pattern: linear sequence | d = +4; pattern 8 = 30 |
| Q87 | 25 | Dot pattern: linear sequence | d = +4; pattern 7 = 25 |
| Q88 | 23 | Dot pattern: linear sequence | d = +5; pattern 5 = 23 |
| Q89 | 28 | Dot pattern: linear sequence | d = +6; pattern 5 = 28 |
| Q90 | 31 | Dot pattern: linear sequence | d = +5; pattern 7 = 31 |
| Q91 | 32 | Identify sequence type (geometric ×2) | Next term = 32 |
| Q92 | 48 | Identify sequence type (geometric ×2) | Next term = 48 |
| Q93 | 25 | Identify sequence type (square) | Next term = 25 |
| Q94 | 15 | Identify sequence type (triangular) | Next term = 15 |
| Q95 | 13 | Identify sequence type (fibonacci) | Next term = 13 |
| Q96 | 71 | Linear sequence: find term by extending | a₁ = 5, d = +6; term 12 = 71 |
| Q97 | 75 | Linear sequence: find term by extending | a₁ = 3, d = +8; term 10 = 75 |
| Q98 | 99 | Linear sequence: find term by extending | a₁ = 1, d = +7; term 15 = 99 |
| Q99 | 100 | Linear sequence: find term by extending | a₁ = 10, d = +9; term 11 = 100 |
| Q100 | 92 | Linear sequence: find term by extending | a₁ = 4, d = +11; term 9 = 92 |