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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 870 · 40 questions
TalentJR

How to solve it (Look at the gaps): Look at two numbers side by side and find the jump: 5 → 10 is a jump of +5. Is the jump the same every time? Then add the same jump once more to the last number. Going down? Take away the same jump. Harder patterns: the jump can grow (+2, +3, +4 …) or the numbers can double (2, 4, 8, 16 …).

NameDateTime takenScore ___ / 40
  1. 1.What comes next? 17, 19, 22, 26, 31, ? (a) 37 (b) 38 (c) 39 (d) 36
  2. 2.What comes next? 18, 26, 34, 42, 50, ? (a) 59 (b) 58 (c) 57 (d) 66
  3. 3.What comes next? 57, 48, 39, 30, 21, ? (a) 11 (b) 3 (c) 12 (d) 13
  4. 4.What comes next? 7, 8, 10, 13, 17, ? (a) 21 (b) 22 (c) 24 (d) 23
  5. 5.What comes next? 17, 18, 20, 23, 27, ? (a) 34 (b) 33 (c) 32 (d) 31
  6. 6.What comes next? 19, 23, 27, 31, 35, ? (a) 43 (b) 38 (c) 40 (d) 39
  7. 7.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 128 (d) 160
  8. 8.What comes next? 1, 9, 8, 16, 15, 23, ? (a) 31 (b) 22 (c) 21 (d) 24
  9. 9.What comes next? 5, 7, 10, 14, 19, ? (a) 27 (b) 25 (c) 24 (d) 26
  10. 10.What comes next? 18, 20, 23, 27, 32, ? (a) 38 (b) 39 (c) 40 (d) 37
  11. 11.What comes next? 19, 30, 41, 52, 63, ? (a) 73 (b) 75 (c) 85 (d) 74
  12. 12.What comes next? 13, 22, 31, 40, 49, ? (a) 58 (b) 57 (c) 67 (d) 59
  13. 13.What comes next? 12, 24, 36, 48, 60, ? (a) 72 (b) 73 (c) 84 (d) 71
  14. 14.What comes next? 23, 19, 15, 11, 7, ? (a) 3 (b) 2 (c) 5 (d) 4
  15. 15.What comes next? 6, 11, 16, 21, 26, ? (a) 31 (b) 32 (c) 36 (d) 30
  16. 16.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 120 (d) 160
  17. 17.What comes next? 30, 25, 20, 15, 10, ? (a) 7 (b) 5 (c) 6 (d) 4
  18. 18.What comes next? 8, 10, 13, 17, 22, ? (a) 30 (b) 28 (c) 27 (d) 29
  19. 19.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  20. 20.What comes next? 17, 22, 27, 32, 37, ? (a) 41 (b) 42 (c) 47 (d) 43
  21. 21.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 14 (b) 15 (c) 9 (d) 10
  22. 22.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 10 (b) 11 (c) 15 (d) 13
  23. 23.What comes next? 8, 13, 11, 16, 14, 19, ? (a) 17 (b) 24 (c) 16 (d) 21
  24. 24.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 20 (c) 21 (d) 22
  25. 25.What comes next? 31, 28, 25, 22, 19, ? (a) 16 (b) 17 (c) 15 (d) 13
  26. 26.What comes next? 2, 6, 3, 7, 4, 8, ? (a) 12 (b) 5 (c) 11 (d) 4
  27. 27.What comes next? 21, 30, 39, 48, 57, ? (a) 75 (b) 67 (c) 65 (d) 66
  28. 28.What comes next? 12, 20, 18, 26, 24, 32, ? (a) 30 (b) 29 (c) 40 (d) 34
  29. 29.What comes next? 61, 52, 43, 34, 25, ? (a) 15 (b) 17 (c) 7 (d) 16
  30. 30.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 135 (d) 243
  31. 31.What comes next? 64, 57, 50, 43, 36, ? (a) 30 (b) 22 (c) 28 (d) 29
  32. 32.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 240 (c) 144 (d) 193
  33. 33.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 90 (d) 144
  34. 34.What comes next? 46, 38, 30, 22, 14, ? (a) 8 (b) 6 (c) 5 (d) 7
  35. 35.What comes next? 8, 14, 13, 19, 18, 24, ? (a) 22 (b) 25 (c) 23 (d) 30
  36. 36.What comes next? 23, 28, 33, 38, 43, ? (a) 49 (b) 48 (c) 47 (d) 53
  37. 37.What comes next? 6, 10, 15, 21, 28, ? (a) 35 (b) 37 (c) 36 (d) 38
  38. 38.What comes next? 49, 43, 37, 31, 25, ? (a) 13 (b) 19 (c) 18 (d) 20
  39. 39.What comes next? 50, 41, 32, 23, 14, ? (a) 6 (b) 4 (c) 7 (d) 5
  40. 40.What comes next? 27, 32, 37, 42, 47, ? (a) 57 (b) 53 (c) 51 (d) 52

Answer key

  1. 37
  2. 58
  3. 12
  4. 22
  5. 32
  6. 39
  7. 128
  8. 22
  9. 25
  10. 38
  11. 74
  12. 58
  13. 72
  14. 3
  15. 31
  16. 160
  17. 5
  18. 28
  19. 81
  20. 42
  21. 10
  22. 11
  23. 17
  24. 20
  25. 16
  26. 5
  27. 66
  28. 30
  29. 16
  30. 243
  31. 29
  32. 192
  33. 162
  34. 6
  35. 23
  36. 48
  37. 36
  38. 19
  39. 5
  40. 52

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