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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 16 · 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? 11, 22, 33, 44, 55, ? (a) 77 (b) 66 (c) 65 (d) 67
  2. 2.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 180 (d) 90
  3. 3.What comes next? 31, 26, 21, 16, 11, ? (a) 1 (b) 7 (c) 5 (d) 6
  4. 4.What comes next? 9, 12, 15, 18, 21, ? (a) 25 (b) 23 (c) 27 (d) 24
  5. 5.What comes next? 28, 24, 20, 16, 12, ? (a) 8 (b) 7 (c) 9 (d) 4
  6. 6.What comes next? 30, 34, 38, 42, 46, ? (a) 51 (b) 49 (c) 50 (d) 54
  7. 7.What comes next? 36, 29, 22, 15, 8, ? (a) 2 (b) 3 (c) 1 (d) 4
  8. 8.What comes next? 46, 37, 28, 19, 10, ? (a) 2 (b) 3 (c) 4 (d) 1
  9. 9.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 200 (d) 160
  10. 10.What comes next? 16, 19, 22, 25, 28, ? (a) 34 (b) 30 (c) 32 (d) 31
  11. 11.What comes next? 11, 9, 7, 5, 3, ? (a) 2 (b) 3 (c) 4 (d) 1
  12. 12.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 64 (c) 80 (d) 65
  13. 13.What comes next? 21, 19, 17, 15, 13, ? (a) 11 (b) 10 (c) 12 (d) 9
  14. 14.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 128 (d) 160
  15. 15.What comes next? 18, 15, 12, 9, 6, ? (a) 5 (b) 4 (c) 3 (d) 2
  16. 16.What comes next? 2, 10, 5, 13, 8, 16, ? (a) 11 (b) 21 (c) 10 (d) 24
  17. 17.What comes next? 12, 15, 18, 21, 24, ? (a) 27 (b) 28 (c) 30 (d) 26
  18. 18.What comes next? 35, 33, 31, 29, 27, ? (a) 24 (b) 26 (c) 23 (d) 25
  19. 19.What comes next? 1, 4, 8, 13, 19, ? (a) 26 (b) 27 (c) 25 (d) 28
  20. 20.What comes next? 6, 16, 26, 36, 46, ? (a) 57 (b) 66 (c) 55 (d) 56
  21. 21.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 14 (b) 10 (c) 12 (d) 9
  22. 22.What comes next? 38, 31, 24, 17, 10, ? (a) 5 (b) 4 (c) 2 (d) 3
  23. 23.What comes next? 26, 28, 30, 32, 34, ? (a) 35 (b) 36 (c) 37 (d) 38
  24. 24.What comes next? 40, 38, 36, 34, 32, ? (a) 28 (b) 30 (c) 31 (d) 29
  25. 25.What comes next? 53, 44, 35, 26, 17, ? (a) 9 (b) 10 (c) 8 (d) 7
  26. 26.What comes next? 59, 53, 47, 41, 35, ? (a) 28 (b) 30 (c) 23 (d) 29
  27. 27.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 90 (d) 81
  28. 28.What comes next? 17, 14, 11, 8, 5, ? (a) 2 (b) 3 (c) 1 (d) 4
  29. 29.What comes next? 40, 34, 28, 22, 16, ? (a) 10 (b) 9 (c) 4 (d) 11
  30. 30.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 193 (c) 144 (d) 240
  31. 31.What comes next? 2, 11, 9, 18, 16, 25, ? (a) 34 (b) 27 (c) 23 (d) 22
  32. 32.What comes next? 7, 12, 17, 22, 27, ? (a) 31 (b) 32 (c) 37 (d) 33
  33. 33.What comes next? 19, 28, 27, 36, 35, 44, ? (a) 45 (b) 42 (c) 53 (d) 43
  34. 34.What comes next? 30, 32, 34, 36, 38, ? (a) 42 (b) 40 (c) 41 (d) 39
  35. 35.What comes next? 14, 21, 28, 35, 42, ? (a) 56 (b) 49 (c) 50 (d) 48
  36. 36.What comes next? 18, 26, 20, 28, 22, 30, ? (a) 23 (b) 24 (c) 38 (d) 36
  37. 37.What comes next? 41, 38, 35, 32, 29, ? (a) 26 (b) 25 (c) 27 (d) 23
  38. 38.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  39. 39.What comes next? 36, 30, 24, 18, 12, ? (a) 8 (b) 6 (c) 5 (d) 7
  40. 40.What comes next? 16, 20, 24, 28, 32, ? (a) 36 (b) 37 (c) 40 (d) 35

Answer key

  1. 66
  2. 162
  3. 6
  4. 24
  5. 8
  6. 50
  7. 1
  8. 1
  9. 160
  10. 31
  11. 1
  12. 64
  13. 11
  14. 128
  15. 3
  16. 11
  17. 27
  18. 25
  19. 26
  20. 56
  21. 10
  22. 3
  23. 36
  24. 30
  25. 8
  26. 29
  27. 81
  28. 2
  29. 10
  30. 192
  31. 23
  32. 32
  33. 43
  34. 40
  35. 49
  36. 24
  37. 26
  38. 243
  39. 6
  40. 36

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