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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 9 · 40 questions
TalentJR

How to solve it (Look at the gaps): Write the gap between each pair of neighbours (+4, +4, … or −3, −3, …). Same gap? Add it again. Growing gap (+2, +3, +4)? The next gap is one more. Gaps that take turns (+5, −2, +5, −2)? Use the next one in turn. Numbers growing fast? Try × 2 or × 3.

NameDateTime takenScore ___ / 40
  1. 1.What comes next? 62, 53, 44, 35, 26, ? (a) 16 (b) 17 (c) 18 (d) 8
  2. 2.What comes next? 10, 12, 15, 19, 24, ? (a) 29 (b) 30 (c) 32 (d) 31
  3. 3.What comes next? 43, 37, 31, 25, 19, ? (a) 12 (b) 14 (c) 7 (d) 13
  4. 4.What comes next? 47, 39, 31, 23, 15, ? (a) 7 (b) 8 (c) 9 (d) 6
  5. 5.What comes next? 38, 36, 34, 32, 30, ? (a) 27 (b) 28 (c) 26 (d) 29
  6. 6.What comes next? 31, 26, 21, 16, 11, ? (a) 5 (b) 6 (c) 7 (d) 1
  7. 7.What comes next? 16, 20, 24, 28, 32, ? (a) 40 (b) 37 (c) 35 (d) 36
  8. 8.What comes next? 67, 58, 49, 40, 31, ? (a) 23 (b) 13 (c) 21 (d) 22
  9. 9.What comes next? 59, 51, 43, 35, 27, ? (a) 18 (b) 20 (c) 19 (d) 11
  10. 10.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 128 (d) 160
  11. 11.What comes next? 8, 11, 15, 20, 26, ? (a) 33 (b) 32 (c) 34 (d) 35
  12. 12.What comes next? 9, 12, 11, 14, 13, 16, ? (a) 19 (b) 17 (c) 15 (d) 14
  13. 13.What comes next? 58, 52, 46, 40, 34, ? (a) 28 (b) 27 (c) 29 (d) 22
  14. 14.What comes next? 44, 40, 36, 32, 28, ? (a) 20 (b) 23 (c) 24 (d) 25
  15. 15.What comes next? 7, 11, 9, 13, 11, 15, ? (a) 13 (b) 19 (c) 12 (d) 17
  16. 16.What comes next? 35, 30, 25, 20, 15, ? (a) 5 (b) 11 (c) 9 (d) 10
  17. 17.What comes next? 25, 30, 35, 40, 45, ? (a) 49 (b) 50 (c) 51 (d) 55
  18. 18.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  19. 19.What comes next? 4, 7, 11, 16, 22, ? (a) 29 (b) 31 (c) 28 (d) 30
  20. 20.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  21. 21.What comes next? 16, 21, 26, 31, 36, ? (a) 42 (b) 41 (c) 40 (d) 46
  22. 22.What comes next? 4, 6, 9, 13, 18, ? (a) 23 (b) 25 (c) 26 (d) 24
  23. 23.What comes next? 22, 28, 34, 40, 46, ? (a) 52 (b) 51 (c) 53 (d) 58
  24. 24.What comes next? 28, 34, 40, 46, 52, ? (a) 59 (b) 58 (c) 57 (d) 64
  25. 25.What comes next? 6, 12, 11, 17, 16, 22, ? (a) 20 (b) 23 (c) 21 (d) 28
  26. 26.What comes next? 13, 17, 22, 28, 35, ? (a) 43 (b) 44 (c) 45 (d) 42
  27. 27.What comes next? 35, 29, 23, 17, 11, ? (a) 4 (b) 7 (c) 6 (d) 5
  28. 28.What comes next? 27, 23, 19, 15, 11, ? (a) 7 (b) 8 (c) 3 (d) 6
  29. 29.What comes next? 26, 33, 40, 47, 54, ? (a) 68 (b) 62 (c) 60 (d) 61
  30. 30.What comes next? 11, 9, 7, 5, 3, ? (a) 1 (b) 2 (c) 4 (d) 3
  31. 31.What comes next? 14, 18, 23, 29, 36, ? (a) 43 (b) 45 (c) 46 (d) 44
  32. 32.What comes next? 15, 25, 35, 45, 55, ? (a) 64 (b) 65 (c) 66 (d) 75
  33. 33.What comes next? 11, 13, 16, 20, 25, ? (a) 33 (b) 31 (c) 30 (d) 32
  34. 34.What comes next? 11, 19, 16, 24, 21, 29, ? (a) 25 (b) 26 (c) 32 (d) 37
  35. 35.What comes next? 39, 32, 25, 18, 11, ? (a) 6 (b) 4 (c) 5 (d) 3
  36. 36.What comes next? 50, 42, 34, 26, 18, ? (a) 2 (b) 10 (c) 11 (d) 9
  37. 37.What comes next? 34, 30, 26, 22, 18, ? (a) 13 (b) 10 (c) 14 (d) 15
  38. 38.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  39. 39.What comes next? 8, 19, 30, 41, 52, ? (a) 74 (b) 63 (c) 64 (d) 62
  40. 40.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 240 (d) 144

Answer key

  1. 17
  2. 30
  3. 13
  4. 7
  5. 28
  6. 6
  7. 36
  8. 22
  9. 19
  10. 128
  11. 33
  12. 15
  13. 28
  14. 24
  15. 13
  16. 10
  17. 50
  18. 243
  19. 29
  20. 32
  21. 41
  22. 24
  23. 52
  24. 58
  25. 21
  26. 43
  27. 5
  28. 7
  29. 61
  30. 1
  31. 44
  32. 65
  33. 31
  34. 26
  35. 4
  36. 10
  37. 14
  38. 160
  39. 63
  40. 192

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