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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 29 · 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? 28, 40, 52, 64, 76, ? (a) 87 (b) 88 (c) 89 (d) 100
  2. 2.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 144 (d) 180
  3. 3.What comes next? 48, 39, 30, 21, 12, ? (a) 5 (b) 2 (c) 3 (d) 4
  4. 4.What comes next? 73, 64, 55, 46, 37, ? (a) 27 (b) 29 (c) 19 (d) 28
  5. 5.What comes next? 28, 39, 50, 61, 72, ? (a) 94 (b) 84 (c) 83 (d) 82
  6. 6.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 28 (c) 29 (d) 27
  7. 7.What comes next? 20, 23, 27, 32, 38, ? (a) 46 (b) 47 (c) 44 (d) 45
  8. 8.What comes next? 27, 23, 19, 15, 11, ? (a) 7 (b) 6 (c) 8 (d) 3
  9. 9.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 32 (c) 33 (d) 24
  10. 10.What comes next? 24, 20, 16, 12, 8, ? (a) 3 (b) 4 (c) 6 (d) 5
  11. 11.What comes next? 17, 22, 18, 23, 19, 24, ? (a) 19 (b) 29 (c) 28 (d) 20
  12. 12.What comes next? 27, 29, 31, 33, 35, ? (a) 39 (b) 36 (c) 37 (d) 38
  13. 13.What comes next? 4, 13, 5, 14, 6, 15, ? (a) 7 (b) 24 (c) 23 (d) 6
  14. 14.What comes next? 28, 30, 32, 34, 36, ? (a) 37 (b) 40 (c) 39 (d) 38
  15. 15.What comes next? 5, 11, 17, 23, 29, ? (a) 34 (b) 41 (c) 36 (d) 35
  16. 16.What comes next? 3, 6, 10, 15, 21, ? (a) 29 (b) 27 (c) 30 (d) 28
  17. 17.What comes next? 50, 46, 42, 38, 34, ? (a) 31 (b) 29 (c) 26 (d) 30
  18. 18.What comes next? 18, 19, 21, 24, 28, ? (a) 35 (b) 32 (c) 33 (d) 34
  19. 19.What comes next? 3, 9, 15, 21, 27, ? (a) 33 (b) 39 (c) 34 (d) 32
  20. 20.What comes next? 27, 37, 47, 57, 67, ? (a) 77 (b) 78 (c) 76 (d) 87
  21. 21.What comes next? 2, 5, 9, 14, 20, ? (a) 28 (b) 26 (c) 29 (d) 27
  22. 22.What comes next? 6, 14, 22, 30, 38, ? (a) 45 (b) 54 (c) 47 (d) 46
  23. 23.What comes next? 5, 8, 12, 17, 23, ? (a) 30 (b) 29 (c) 31 (d) 32
  24. 24.What comes next? 20, 22, 25, 29, 34, ? (a) 42 (b) 40 (c) 39 (d) 41
  25. 25.What comes next? 20, 29, 28, 37, 36, 45, ? (a) 46 (b) 44 (c) 43 (d) 54
  26. 26.What comes next? 10, 19, 14, 23, 18, 27, ? (a) 32 (b) 21 (c) 36 (d) 22
  27. 27.What comes next? 9, 15, 10, 16, 11, 17, ? (a) 12 (b) 11 (c) 23 (d) 22
  28. 28.What comes next? 8, 12, 17, 23, 30, ? (a) 40 (b) 39 (c) 38 (d) 37
  29. 29.What comes next? 3, 8, 13, 18, 23, ? (a) 27 (b) 29 (c) 33 (d) 28
  30. 30.What comes next? 58, 51, 44, 37, 30, ? (a) 24 (b) 16 (c) 23 (d) 22
  31. 31.What comes next? 18, 23, 21, 26, 24, 29, ? (a) 34 (b) 26 (c) 31 (d) 27
  32. 32.What comes next? 10, 17, 11, 18, 12, 19, ? (a) 26 (b) 25 (c) 13 (d) 12
  33. 33.What comes next? 4, 8, 12, 16, 20, ? (a) 25 (b) 24 (c) 28 (d) 23
  34. 34.What comes next? 6, 15, 10, 19, 14, 23, ? (a) 17 (b) 18 (c) 28 (d) 32
  35. 35.What comes next? 4, 8, 13, 19, 26, ? (a) 33 (b) 34 (c) 36 (d) 35
  36. 36.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 120 (c) 161 (d) 200
  37. 37.What comes next? 14, 22, 19, 27, 24, 32, ? (a) 40 (b) 35 (c) 28 (d) 29
  38. 38.What comes next? 9, 15, 13, 19, 17, 23, ? (a) 20 (b) 21 (c) 29 (d) 25
  39. 39.What comes next? 57, 51, 45, 39, 33, ? (a) 26 (b) 27 (c) 21 (d) 28
  40. 40.What comes next? 16, 22, 20, 26, 24, 30, ? (a) 28 (b) 36 (c) 32 (d) 27

Answer key

  1. 88
  2. 162
  3. 3
  4. 28
  5. 83
  6. 27
  7. 45
  8. 7
  9. 32
  10. 4
  11. 20
  12. 37
  13. 7
  14. 38
  15. 35
  16. 28
  17. 30
  18. 33
  19. 33
  20. 77
  21. 27
  22. 46
  23. 30
  24. 40
  25. 44
  26. 22
  27. 12
  28. 38
  29. 28
  30. 23
  31. 27
  32. 13
  33. 24
  34. 18
  35. 34
  36. 160
  37. 29
  38. 21
  39. 27
  40. 28

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