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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 14 · 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, 11, 6, 13, 8, 15, ? (a) 10 (b) 20 (c) 9 (d) 22
  2. 2.What comes next? 9, 18, 27, 36, 45, ? (a) 55 (b) 54 (c) 63 (d) 53
  3. 3.What comes next? 2, 9, 3, 10, 4, 11, ? (a) 17 (b) 18 (c) 5 (d) 4
  4. 4.What comes next? 14, 17, 20, 23, 26, ? (a) 29 (b) 30 (c) 28 (d) 32
  5. 5.What comes next? 27, 29, 31, 33, 35, ? (a) 38 (b) 39 (c) 36 (d) 37
  6. 6.What comes next? 19, 31, 43, 55, 67, ? (a) 91 (b) 79 (c) 78 (d) 80
  7. 7.What comes next? 30, 34, 38, 42, 46, ? (a) 51 (b) 50 (c) 54 (d) 49
  8. 8.What comes next? 2, 5, 9, 14, 20, ? (a) 26 (b) 27 (c) 29 (d) 28
  9. 9.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  10. 10.What comes next? 25, 23, 21, 19, 17, ? (a) 14 (b) 15 (c) 13 (d) 16
  11. 11.What comes next? 4, 7, 5, 8, 6, 9, ? (a) 11 (b) 12 (c) 6 (d) 7
  12. 12.What comes next? 4, 6, 9, 13, 18, ? (a) 25 (b) 26 (c) 23 (d) 24
  13. 13.What comes next? 14, 15, 17, 20, 24, ? (a) 31 (b) 29 (c) 30 (d) 28
  14. 14.What comes next? 16, 20, 25, 31, 38, ? (a) 48 (b) 46 (c) 45 (d) 47
  15. 15.What comes next? 37, 33, 29, 25, 21, ? (a) 13 (b) 17 (c) 18 (d) 16
  16. 16.What comes next? 1, 6, 5, 10, 9, 14, ? (a) 12 (b) 15 (c) 19 (d) 13
  17. 17.What comes next? 2, 3, 5, 8, 12, ? (a) 17 (b) 18 (c) 19 (d) 16
  18. 18.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 32 (c) 33 (d) 24
  19. 19.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 96 (d) 160
  20. 20.What comes next? 9, 11, 14, 18, 23, ? (a) 30 (b) 29 (c) 28 (d) 31
  21. 21.What comes next? 17, 23, 18, 24, 19, 25, ? (a) 30 (b) 31 (c) 20 (d) 19
  22. 22.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 97 (c) 72 (d) 120
  23. 23.What comes next? 16, 24, 18, 26, 20, 28, ? (a) 36 (b) 21 (c) 22 (d) 34
  24. 24.What comes next? 10, 13, 17, 22, 28, ? (a) 35 (b) 36 (c) 37 (d) 34
  25. 25.What comes next? 21, 33, 45, 57, 69, ? (a) 80 (b) 93 (c) 81 (d) 82
  26. 26.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 81 (d) 45
  27. 27.What comes next? 8, 10, 13, 17, 22, ? (a) 27 (b) 30 (c) 28 (d) 29
  28. 28.What comes next? 11, 9, 7, 5, 3, ? (a) 3 (b) 2 (c) 4 (d) 1
  29. 29.What comes next? 35, 30, 25, 20, 15, ? (a) 9 (b) 11 (c) 10 (d) 5
  30. 30.What comes next? 11, 12, 14, 17, 21, ? (a) 27 (b) 28 (c) 25 (d) 26
  31. 31.What comes next? 22, 28, 34, 40, 46, ? (a) 58 (b) 53 (c) 52 (d) 51
  32. 32.What comes next? 2, 5, 8, 11, 14, ? (a) 18 (b) 16 (c) 17 (d) 20
  33. 33.What comes next? 19, 26, 23, 30, 27, 34, ? (a) 37 (b) 31 (c) 41 (d) 30
  34. 34.What comes next? 39, 36, 33, 30, 27, ? (a) 25 (b) 21 (c) 23 (d) 24
  35. 35.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  36. 36.What comes next? 23, 20, 17, 14, 11, ? (a) 9 (b) 5 (c) 7 (d) 8
  37. 37.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 200 (d) 120
  38. 38.What comes next? 15, 18, 16, 19, 17, 20, ? (a) 17 (b) 18 (c) 22 (d) 23
  39. 39.What comes next? 26, 24, 22, 20, 18, ? (a) 14 (b) 17 (c) 15 (d) 16
  40. 40.What comes next? 19, 23, 27, 31, 35, ? (a) 40 (b) 43 (c) 38 (d) 39

Answer key

  1. 10
  2. 54
  3. 5
  4. 29
  5. 37
  6. 79
  7. 50
  8. 27
  9. 162
  10. 15
  11. 7
  12. 24
  13. 29
  14. 46
  15. 17
  16. 13
  17. 17
  18. 32
  19. 128
  20. 29
  21. 20
  22. 96
  23. 22
  24. 35
  25. 81
  26. 81
  27. 28
  28. 1
  29. 10
  30. 26
  31. 52
  32. 17
  33. 31
  34. 24
  35. 243
  36. 8
  37. 160
  38. 18
  39. 16
  40. 39

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