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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 10 · 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? 12, 16, 20, 24, 28, ? (a) 31 (b) 33 (c) 36 (d) 32
  2. 2.What comes next? 52, 45, 38, 31, 24, ? (a) 18 (b) 10 (c) 16 (d) 17
  3. 3.What comes next? 35, 33, 31, 29, 27, ? (a) 23 (b) 24 (c) 26 (d) 25
  4. 4.What comes next? 47, 39, 31, 23, 15, ? (a) 7 (b) 9 (c) 6 (d) 8
  5. 5.What comes next? 15, 19, 16, 20, 17, 21, ? (a) 18 (b) 24 (c) 17 (d) 25
  6. 6.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 48 (d) 80
  7. 7.What comes next? 64, 55, 46, 37, 28, ? (a) 18 (b) 20 (c) 19 (d) 10
  8. 8.What comes next? 18, 25, 32, 39, 46, ? (a) 60 (b) 52 (c) 54 (d) 53
  9. 9.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 128 (d) 96
  10. 10.What comes next? 7, 12, 17, 22, 27, ? (a) 33 (b) 37 (c) 31 (d) 32
  11. 11.What comes next? 8, 15, 22, 29, 36, ? (a) 50 (b) 42 (c) 44 (d) 43
  12. 12.What comes next? 4, 13, 10, 19, 16, 25, ? (a) 21 (b) 22 (c) 34 (d) 28
  13. 13.What comes next? 10, 14, 11, 15, 12, 16, ? (a) 13 (b) 12 (c) 19 (d) 20
  14. 14.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 97 (d) 120
  15. 15.What comes next? 16, 25, 20, 29, 24, 33, ? (a) 28 (b) 42 (c) 27 (d) 38
  16. 16.What comes next? 56, 47, 38, 29, 20, ? (a) 12 (b) 2 (c) 10 (d) 11
  17. 17.What comes next? 9, 15, 21, 27, 33, ? (a) 39 (b) 40 (c) 45 (d) 38
  18. 18.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 40 (d) 32
  19. 19.What comes next? 21, 17, 13, 9, 5, ? (a) 3 (b) 4 (c) 1 (d) 2
  20. 20.What comes next? 2, 14, 26, 38, 50, ? (a) 62 (b) 74 (c) 63 (d) 61
  21. 21.What comes next? 44, 40, 36, 32, 28, ? (a) 20 (b) 23 (c) 25 (d) 24
  22. 22.What comes next? 1, 4, 8, 13, 19, ? (a) 25 (b) 27 (c) 28 (d) 26
  23. 23.What comes next? 14, 15, 17, 20, 24, ? (a) 29 (b) 31 (c) 30 (d) 28
  24. 24.What comes next? 14, 22, 19, 27, 24, 32, ? (a) 28 (b) 35 (c) 40 (d) 29
  25. 25.What comes next? 69, 60, 51, 42, 33, ? (a) 25 (b) 24 (c) 23 (d) 15
  26. 26.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 45 (d) 81
  27. 27.What comes next? 2, 4, 7, 11, 16, ? (a) 23 (b) 24 (c) 21 (d) 22
  28. 28.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 42 (c) 44 (d) 41
  29. 29.What comes next? 24, 22, 20, 18, 16, ? (a) 15 (b) 13 (c) 14 (d) 12
  30. 30.What comes next? 26, 29, 32, 35, 38, ? (a) 40 (b) 42 (c) 44 (d) 41
  31. 31.What comes next? 46, 37, 28, 19, 10, ? (a) 1 (b) 4 (c) 3 (d) 2
  32. 32.What comes next? 13, 15, 17, 19, 21, ? (a) 24 (b) 25 (c) 23 (d) 22
  33. 33.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 144 (d) 192
  34. 34.What comes next? 6, 8, 11, 15, 20, ? (a) 28 (b) 27 (c) 26 (d) 25
  35. 35.What comes next? 10, 11, 13, 16, 20, ? (a) 27 (b) 24 (c) 25 (d) 26
  36. 36.What comes next? 28, 26, 24, 22, 20, ? (a) 17 (b) 18 (c) 16 (d) 19
  37. 37.What comes next? 19, 21, 24, 28, 33, ? (a) 41 (b) 39 (c) 38 (d) 40
  38. 38.What comes next? 49, 45, 41, 37, 33, ? (a) 30 (b) 29 (c) 25 (d) 28
  39. 39.What comes next? 5, 12, 19, 26, 33, ? (a) 39 (b) 47 (c) 41 (d) 40
  40. 40.What comes next? 33, 31, 29, 27, 25, ? (a) 24 (b) 22 (c) 23 (d) 21

Answer key

  1. 32
  2. 17
  3. 25
  4. 7
  5. 18
  6. 64
  7. 19
  8. 53
  9. 128
  10. 32
  11. 43
  12. 22
  13. 13
  14. 96
  15. 28
  16. 11
  17. 39
  18. 32
  19. 1
  20. 62
  21. 24
  22. 26
  23. 29
  24. 29
  25. 24
  26. 81
  27. 22
  28. 42
  29. 14
  30. 41
  31. 1
  32. 23
  33. 192
  34. 26
  35. 25
  36. 18
  37. 39
  38. 29
  39. 40
  40. 23

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