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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 23 · 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? 7, 13, 19, 25, 31, ? (a) 36 (b) 37 (c) 43 (d) 38
  2. 2.What comes next? 8, 11, 15, 20, 26, ? (a) 34 (b) 33 (c) 32 (d) 35
  3. 3.What comes next? 12, 16, 20, 24, 28, ? (a) 32 (b) 33 (c) 36 (d) 31
  4. 4.What comes next? 43, 35, 27, 19, 11, ? (a) 2 (b) 5 (c) 3 (d) 4
  5. 5.What comes next? 9, 16, 15, 22, 21, 28, ? (a) 29 (b) 26 (c) 35 (d) 27
  6. 6.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 160 (d) 96
  7. 7.What comes next? 15, 19, 17, 21, 19, 23, ? (a) 21 (b) 20 (c) 25 (d) 27
  8. 8.What comes next? 2, 5, 9, 14, 20, ? (a) 29 (b) 27 (c) 28 (d) 26
  9. 9.What comes next? 11, 15, 13, 17, 15, 19, ? (a) 21 (b) 17 (c) 23 (d) 16
  10. 10.What comes next? 18, 19, 21, 24, 28, ? (a) 33 (b) 32 (c) 34 (d) 35
  11. 11.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 97 (d) 120
  12. 12.What comes next? 47, 38, 29, 20, 11, ? (a) 3 (b) 2 (c) 4 (d) 1
  13. 13.What comes next? 19, 28, 27, 36, 35, 44, ? (a) 53 (b) 45 (c) 43 (d) 42
  14. 14.What comes next? 33, 30, 27, 24, 21, ? (a) 18 (b) 19 (c) 17 (d) 15
  15. 15.What comes next? 12, 21, 20, 29, 28, 37, ? (a) 36 (b) 46 (c) 35 (d) 38
  16. 16.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 64 (d) 65
  17. 17.What comes next? 7, 9, 12, 16, 21, ? (a) 28 (b) 26 (c) 29 (d) 27
  18. 18.What comes next? 4, 14, 24, 34, 44, ? (a) 64 (b) 55 (c) 53 (d) 54
  19. 19.What comes next? 14, 25, 36, 47, 58, ? (a) 80 (b) 70 (c) 68 (d) 69
  20. 20.What comes next? 25, 31, 37, 43, 49, ? (a) 61 (b) 55 (c) 54 (d) 56
  21. 21.What comes next? 2, 6, 11, 17, 24, ? (a) 31 (b) 32 (c) 33 (d) 34
  22. 22.What comes next? 66, 57, 48, 39, 30, ? (a) 20 (b) 21 (c) 22 (d) 12
  23. 23.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 12 (b) 13 (c) 17 (d) 15
  24. 24.What comes next? 4, 6, 8, 10, 12, ? (a) 13 (b) 16 (c) 14 (d) 15
  25. 25.What comes next? 9, 18, 13, 22, 17, 26, ? (a) 35 (b) 21 (c) 31 (d) 20
  26. 26.What comes next? 13, 25, 37, 49, 61, ? (a) 72 (b) 85 (c) 74 (d) 73
  27. 27.What comes next? 10, 14, 19, 25, 32, ? (a) 41 (b) 40 (c) 42 (d) 39
  28. 28.What comes next? 9, 11, 14, 18, 23, ? (a) 28 (b) 31 (c) 30 (d) 29
  29. 29.What comes next? 29, 31, 33, 35, 37, ? (a) 38 (b) 39 (c) 41 (d) 40
  30. 30.What comes next? 18, 26, 34, 42, 50, ? (a) 57 (b) 59 (c) 66 (d) 58
  31. 31.What comes next? 57, 49, 41, 33, 25, ? (a) 18 (b) 9 (c) 16 (d) 17
  32. 32.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 180 (d) 90
  33. 33.What comes next? 3, 4, 6, 9, 13, ? (a) 20 (b) 19 (c) 17 (d) 18
  34. 34.What comes next? 10, 18, 14, 22, 18, 26, ? (a) 30 (b) 22 (c) 21 (d) 34
  35. 35.What comes next? 15, 22, 16, 23, 17, 24, ? (a) 30 (b) 18 (c) 31 (d) 17
  36. 36.What comes next? 12, 17, 14, 19, 16, 21, ? (a) 26 (b) 17 (c) 18 (d) 24
  37. 37.What comes next? 14, 12, 10, 8, 6, ? (a) 3 (b) 4 (c) 2 (d) 5
  38. 38.What comes next? 46, 40, 34, 28, 22, ? (a) 16 (b) 17 (c) 15 (d) 10
  39. 39.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 81 (d) 72
  40. 40.What comes next? 1, 2, 4, 7, 11, ? (a) 15 (b) 18 (c) 16 (d) 17

Answer key

  1. 37
  2. 33
  3. 32
  4. 3
  5. 27
  6. 128
  7. 21
  8. 27
  9. 17
  10. 33
  11. 96
  12. 2
  13. 43
  14. 18
  15. 36
  16. 64
  17. 27
  18. 54
  19. 69
  20. 55
  21. 32
  22. 21
  23. 13
  24. 14
  25. 21
  26. 73
  27. 40
  28. 29
  29. 39
  30. 58
  31. 17
  32. 162
  33. 18
  34. 22
  35. 18
  36. 18
  37. 4
  38. 16
  39. 81
  40. 16

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