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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 25 · 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? 4, 8, 12, 16, 20, ? (a) 28 (b) 23 (c) 25 (d) 24
  2. 2.What comes next? 11, 14, 13, 16, 15, 18, ? (a) 21 (b) 19 (c) 16 (d) 17
  3. 3.What comes next? 7, 11, 16, 22, 29, ? (a) 38 (b) 39 (c) 36 (d) 37
  4. 4.What comes next? 11, 14, 18, 23, 29, ? (a) 38 (b) 35 (c) 37 (d) 36
  5. 5.What comes next? 34, 28, 22, 16, 10, ? (a) 5 (b) 3 (c) 6 (d) 4
  6. 6.What comes next? 47, 40, 33, 26, 19, ? (a) 11 (b) 12 (c) 13 (d) 5
  7. 7.What comes next? 3, 11, 19, 27, 35, ? (a) 42 (b) 43 (c) 51 (d) 44
  8. 8.What comes next? 43, 37, 31, 25, 19, ? (a) 13 (b) 14 (c) 12 (d) 7
  9. 9.What comes next? 11, 15, 20, 26, 33, ? (a) 41 (b) 42 (c) 40 (d) 43
  10. 10.What comes next? 9, 13, 18, 24, 31, ? (a) 40 (b) 39 (c) 38 (d) 41
  11. 11.What comes next? 13, 16, 19, 22, 25, ? (a) 28 (b) 31 (c) 27 (d) 29
  12. 12.What comes next? 30, 25, 20, 15, 10, ? (a) 7 (b) 4 (c) 6 (d) 5
  13. 13.What comes next? 10, 17, 24, 31, 38, ? (a) 46 (b) 45 (c) 44 (d) 52
  14. 14.What comes next? 35, 31, 27, 23, 19, ? (a) 14 (b) 16 (c) 15 (d) 11
  15. 15.What comes next? 69, 61, 53, 45, 37, ? (a) 30 (b) 21 (c) 29 (d) 28
  16. 16.What comes next? 16, 18, 21, 25, 30, ? (a) 38 (b) 36 (c) 35 (d) 37
  17. 17.What comes next? 40, 33, 26, 19, 12, ? (a) 4 (b) 6 (c) 7 (d) 5
  18. 18.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 180 (d) 90
  19. 19.What comes next? 43, 35, 27, 19, 11, ? (a) 4 (b) 2 (c) 5 (d) 3
  20. 20.What comes next? 25, 23, 21, 19, 17, ? (a) 13 (b) 14 (c) 16 (d) 15
  21. 21.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 45 (d) 90
  22. 22.What comes next? 30, 41, 52, 63, 74, ? (a) 84 (b) 86 (c) 85 (d) 96
  23. 23.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 64 (d) 80
  24. 24.What comes next? 52, 45, 38, 31, 24, ? (a) 18 (b) 16 (c) 10 (d) 17
  25. 25.What comes next? 18, 21, 25, 30, 36, ? (a) 43 (b) 42 (c) 44 (d) 45
  26. 26.What comes next? 8, 10, 12, 14, 16, ? (a) 20 (b) 17 (c) 19 (d) 18
  27. 27.What comes next? 54, 48, 42, 36, 30, ? (a) 18 (b) 25 (c) 24 (d) 23
  28. 28.What comes next? 12, 15, 19, 24, 30, ? (a) 38 (b) 36 (c) 39 (d) 37
  29. 29.What comes next? 9, 13, 17, 21, 25, ? (a) 30 (b) 28 (c) 29 (d) 33
  30. 30.What comes next? 52, 46, 40, 34, 28, ? (a) 21 (b) 16 (c) 22 (d) 23
  31. 31.What comes next? 54, 47, 40, 33, 26, ? (a) 18 (b) 20 (c) 12 (d) 19
  32. 32.What comes next? 50, 46, 42, 38, 34, ? (a) 30 (b) 26 (c) 31 (d) 29
  33. 33.What comes next? 10, 16, 22, 28, 34, ? (a) 46 (b) 41 (c) 39 (d) 40
  34. 34.What comes next? 49, 44, 39, 34, 29, ? (a) 24 (b) 19 (c) 23 (d) 25
  35. 35.What comes next? 17, 18, 20, 23, 27, ? (a) 34 (b) 33 (c) 32 (d) 31
  36. 36.What comes next? 23, 29, 35, 41, 47, ? (a) 59 (b) 52 (c) 54 (d) 53
  37. 37.What comes next? 44, 37, 30, 23, 16, ? (a) 10 (b) 8 (c) 9 (d) 2
  38. 38.What comes next? 17, 21, 26, 32, 39, ? (a) 49 (b) 46 (c) 47 (d) 48
  39. 39.What comes next? 7, 10, 14, 19, 25, ? (a) 33 (b) 32 (c) 31 (d) 34
  40. 40.What comes next? 14, 16, 18, 20, 22, ? (a) 24 (b) 26 (c) 25 (d) 23

Answer key

  1. 24
  2. 17
  3. 37
  4. 36
  5. 4
  6. 12
  7. 43
  8. 13
  9. 41
  10. 39
  11. 28
  12. 5
  13. 45
  14. 15
  15. 29
  16. 36
  17. 5
  18. 162
  19. 3
  20. 15
  21. 81
  22. 85
  23. 64
  24. 17
  25. 43
  26. 18
  27. 24
  28. 37
  29. 29
  30. 22
  31. 19
  32. 30
  33. 40
  34. 24
  35. 32
  36. 53
  37. 9
  38. 47
  39. 32
  40. 24

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