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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 5 · 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? 14, 17, 15, 18, 16, 19, ? (a) 17 (b) 22 (c) 21 (d) 16
  2. 2.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 48 (d) 80
  3. 3.What comes next? 63, 55, 47, 39, 31, ? (a) 23 (b) 15 (c) 22 (d) 24
  4. 4.What comes next? 13, 16, 14, 17, 15, 18, ? (a) 20 (b) 16 (c) 21 (d) 15
  5. 5.What comes next? 15, 20, 25, 30, 35, ? (a) 41 (b) 40 (c) 39 (d) 45
  6. 6.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 90 (d) 81
  7. 7.What comes next? 37, 30, 23, 16, 9, ? (a) 3 (b) 1 (c) 4 (d) 2
  8. 8.What comes next? 20, 18, 16, 14, 12, ? (a) 11 (b) 10 (c) 8 (d) 9
  9. 9.What comes next? 37, 34, 31, 28, 25, ? (a) 19 (b) 22 (c) 21 (d) 23
  10. 10.What comes next? 35, 31, 27, 23, 19, ? (a) 11 (b) 16 (c) 15 (d) 14
  11. 11.What comes next? 22, 19, 16, 13, 10, ? (a) 4 (b) 7 (c) 8 (d) 6
  12. 12.What comes next? 31, 26, 21, 16, 11, ? (a) 6 (b) 5 (c) 7 (d) 1
  13. 13.What comes next? 12, 15, 19, 24, 30, ? (a) 36 (b) 39 (c) 37 (d) 38
  14. 14.What comes next? 7, 10, 14, 19, 25, ? (a) 31 (b) 33 (c) 34 (d) 32
  15. 15.What comes next? 2, 6, 11, 17, 24, ? (a) 33 (b) 34 (c) 31 (d) 32
  16. 16.What comes next? 19, 21, 24, 28, 33, ? (a) 41 (b) 40 (c) 38 (d) 39
  17. 17.What comes next? 2, 9, 3, 10, 4, 11, ? (a) 18 (b) 4 (c) 5 (d) 17
  18. 18.What comes next? 27, 25, 23, 21, 19, ? (a) 18 (b) 16 (c) 15 (d) 17
  19. 19.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  20. 20.What comes next? 23, 21, 19, 17, 15, ? (a) 12 (b) 11 (c) 14 (d) 13
  21. 21.What comes next? 19, 25, 31, 37, 43, ? (a) 55 (b) 49 (c) 48 (d) 50
  22. 22.What comes next? 1, 5, 3, 7, 5, 9, ? (a) 13 (b) 7 (c) 6 (d) 11
  23. 23.What comes next? 5, 14, 13, 22, 21, 30, ? (a) 28 (b) 39 (c) 29 (d) 31
  24. 24.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 129 (d) 128
  25. 25.What comes next? 6, 11, 16, 21, 26, ? (a) 36 (b) 32 (c) 30 (d) 31
  26. 26.What comes next? 23, 29, 35, 41, 47, ? (a) 54 (b) 53 (c) 59 (d) 52
  27. 27.What comes next? 10, 22, 34, 46, 58, ? (a) 82 (b) 69 (c) 70 (d) 71
  28. 28.What comes next? 17, 14, 11, 8, 5, ? (a) 2 (b) 1 (c) 3 (d) 4
  29. 29.What comes next? 17, 26, 35, 44, 53, ? (a) 62 (b) 63 (c) 61 (d) 71
  30. 30.What comes next? 18, 25, 20, 27, 22, 29, ? (a) 24 (b) 23 (c) 36 (d) 34
  31. 31.What comes next? 32, 27, 22, 17, 12, ? (a) 2 (b) 7 (c) 6 (d) 8
  32. 32.What comes next? 11, 18, 25, 32, 39, ? (a) 45 (b) 53 (c) 46 (d) 47
  33. 33.What comes next? 4, 7, 11, 16, 22, ? (a) 28 (b) 30 (c) 31 (d) 29
  34. 34.What comes next? 6, 8, 11, 15, 20, ? (a) 27 (b) 28 (c) 25 (d) 26
  35. 35.What comes next? 11, 13, 16, 20, 25, ? (a) 33 (b) 31 (c) 30 (d) 32
  36. 36.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  37. 37.What comes next? 16, 21, 26, 31, 36, ? (a) 40 (b) 46 (c) 42 (d) 41
  38. 38.What comes next? 18, 24, 23, 29, 28, 34, ? (a) 32 (b) 33 (c) 35 (d) 40
  39. 39.What comes next? 44, 36, 28, 20, 12, ? (a) 4 (b) 6 (c) 5 (d) 3
  40. 40.What comes next? 13, 16, 20, 25, 31, ? (a) 39 (b) 40 (c) 38 (d) 37

Answer key

  1. 17
  2. 64
  3. 23
  4. 16
  5. 40
  6. 81
  7. 2
  8. 10
  9. 22
  10. 15
  11. 7
  12. 6
  13. 37
  14. 32
  15. 32
  16. 39
  17. 5
  18. 17
  19. 32
  20. 13
  21. 49
  22. 7
  23. 29
  24. 128
  25. 31
  26. 53
  27. 70
  28. 2
  29. 62
  30. 24
  31. 7
  32. 46
  33. 29
  34. 26
  35. 31
  36. 162
  37. 41
  38. 33
  39. 4
  40. 38

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