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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 18 · 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? 17, 23, 21, 27, 25, 31, ? (a) 37 (b) 29 (c) 33 (d) 28
  2. 2.What comes next? 5, 15, 25, 35, 45, ? (a) 56 (b) 65 (c) 54 (d) 55
  3. 3.What comes next? 18, 19, 21, 24, 28, ? (a) 34 (b) 33 (c) 35 (d) 32
  4. 4.What comes next? 7, 8, 10, 13, 17, ? (a) 22 (b) 24 (c) 23 (d) 21
  5. 5.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  6. 6.What comes next? 11, 15, 14, 18, 17, 21, ? (a) 25 (b) 19 (c) 20 (d) 22
  7. 7.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 16 (c) 17 (d) 19
  8. 8.What comes next? 1, 3, 6, 10, 15, ? (a) 22 (b) 21 (c) 20 (d) 23
  9. 9.What comes next? 5, 11, 6, 12, 7, 13, ? (a) 19 (b) 8 (c) 7 (d) 18
  10. 10.What comes next? 20, 22, 25, 29, 34, ? (a) 41 (b) 42 (c) 39 (d) 40
  11. 11.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 31 (c) 30 (d) 33
  12. 12.What comes next? 9, 15, 21, 27, 33, ? (a) 40 (b) 38 (c) 39 (d) 45
  13. 13.What comes next? 13, 17, 22, 28, 35, ? (a) 42 (b) 45 (c) 43 (d) 44
  14. 14.What comes next? 31, 29, 27, 25, 23, ? (a) 19 (b) 21 (c) 22 (d) 20
  15. 15.What comes next? 18, 27, 23, 32, 28, 37, ? (a) 46 (b) 32 (c) 41 (d) 33
  16. 16.What comes next? 24, 22, 20, 18, 16, ? (a) 14 (b) 15 (c) 13 (d) 12
  17. 17.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 216 (d) 135
  18. 18.What comes next? 1, 8, 5, 12, 9, 16, ? (a) 19 (b) 23 (c) 12 (d) 13
  19. 19.What comes next? 17, 20, 24, 29, 35, ? (a) 42 (b) 41 (c) 44 (d) 43
  20. 20.What comes next? 8, 10, 13, 17, 22, ? (a) 29 (b) 27 (c) 30 (d) 28
  21. 21.What comes next? 19, 23, 28, 34, 41, ? (a) 51 (b) 48 (c) 49 (d) 50
  22. 22.What comes next? 49, 42, 35, 28, 21, ? (a) 13 (b) 15 (c) 14 (d) 7
  23. 23.What comes next? 26, 30, 34, 38, 42, ? (a) 46 (b) 50 (c) 47 (d) 45
  24. 24.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 72 (d) 97
  25. 25.What comes next? 9, 13, 18, 24, 31, ? (a) 40 (b) 38 (c) 41 (d) 39
  26. 26.What comes next? 29, 33, 37, 41, 45, ? (a) 53 (b) 48 (c) 50 (d) 49
  27. 27.What comes next? 15, 18, 22, 27, 33, ? (a) 42 (b) 40 (c) 41 (d) 39
  28. 28.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 161 (c) 160 (d) 200
  29. 29.What comes next? 8, 14, 9, 15, 10, 16, ? (a) 11 (b) 21 (c) 22 (d) 10
  30. 30.What comes next? 17, 26, 24, 33, 31, 40, ? (a) 49 (b) 42 (c) 37 (d) 38
  31. 31.What comes next? 17, 19, 22, 26, 31, ? (a) 37 (b) 36 (c) 38 (d) 39
  32. 32.What comes next? 9, 20, 31, 42, 53, ? (a) 64 (b) 75 (c) 63 (d) 65
  33. 33.What comes next? 7, 13, 8, 14, 9, 15, ? (a) 21 (b) 10 (c) 9 (d) 20
  34. 34.What comes next? 64, 56, 48, 40, 32, ? (a) 25 (b) 23 (c) 24 (d) 16
  35. 35.What comes next? 4, 6, 8, 10, 12, ? (a) 15 (b) 16 (c) 13 (d) 14
  36. 36.What comes next? 46, 39, 32, 25, 18, ? (a) 11 (b) 10 (c) 12 (d) 4
  37. 37.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 160 (d) 96
  38. 38.What comes next? 26, 23, 20, 17, 14, ? (a) 11 (b) 10 (c) 8 (d) 12
  39. 39.What comes next? 57, 50, 43, 36, 29, ? (a) 15 (b) 21 (c) 22 (d) 23
  40. 40.What comes next? 3, 6, 10, 15, 21, ? (a) 27 (b) 29 (c) 28 (d) 30

Answer key

  1. 29
  2. 55
  3. 33
  4. 22
  5. 81
  6. 20
  7. 17
  8. 21
  9. 8
  10. 40
  11. 31
  12. 39
  13. 43
  14. 21
  15. 33
  16. 14
  17. 243
  18. 13
  19. 42
  20. 28
  21. 49
  22. 14
  23. 46
  24. 96
  25. 39
  26. 49
  27. 40
  28. 160
  29. 11
  30. 38
  31. 37
  32. 64
  33. 10
  34. 24
  35. 14
  36. 11
  37. 128
  38. 11
  39. 22
  40. 28

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