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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 12 · 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? 2, 6, 11, 17, 24, ? (a) 33 (b) 31 (c) 32 (d) 34
  2. 2.What comes next? 12, 15, 13, 16, 14, 17, ? (a) 14 (b) 15 (c) 19 (d) 20
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  4. 4.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 32 (c) 24 (d) 33
  5. 5.What comes next? 19, 23, 28, 34, 41, ? (a) 49 (b) 51 (c) 48 (d) 50
  6. 6.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 243 (d) 216
  7. 7.What comes next? 25, 23, 21, 19, 17, ? (a) 14 (b) 16 (c) 13 (d) 15
  8. 8.What comes next? 21, 18, 15, 12, 9, ? (a) 7 (b) 5 (c) 3 (d) 6
  9. 9.What comes next? 14, 17, 21, 26, 32, ? (a) 40 (b) 38 (c) 41 (d) 39
  10. 10.What comes next? 15, 24, 22, 31, 29, 38, ? (a) 47 (b) 36 (c) 35 (d) 40
  11. 11.What comes next? 18, 16, 14, 12, 10, ? (a) 8 (b) 6 (c) 9 (d) 7
  12. 12.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 192 (c) 193 (d) 240
  13. 13.What comes next? 48, 42, 36, 30, 24, ? (a) 18 (b) 19 (c) 17 (d) 12
  14. 14.What comes next? 9, 16, 23, 30, 37, ? (a) 43 (b) 45 (c) 44 (d) 51
  15. 15.What comes next? 56, 48, 40, 32, 24, ? (a) 16 (b) 15 (c) 8 (d) 17
  16. 16.What comes next? 19, 22, 26, 31, 37, ? (a) 46 (b) 44 (c) 45 (d) 43
  17. 17.What comes next? 32, 28, 24, 20, 16, ? (a) 13 (b) 8 (c) 11 (d) 12
  18. 18.What comes next? 8, 12, 17, 23, 30, ? (a) 40 (b) 38 (c) 37 (d) 39
  19. 19.What comes next? 6, 8, 11, 15, 20, ? (a) 26 (b) 28 (c) 25 (d) 27
  20. 20.What comes next? 14, 15, 17, 20, 24, ? (a) 30 (b) 28 (c) 29 (d) 31
  21. 21.What comes next? 15, 20, 17, 22, 19, 24, ? (a) 27 (b) 29 (c) 21 (d) 20
  22. 22.What comes next? 20, 24, 29, 35, 42, ? (a) 52 (b) 49 (c) 51 (d) 50
  23. 23.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 97 (d) 120
  24. 24.What comes next? 17, 15, 13, 11, 9, ? (a) 8 (b) 6 (c) 7 (d) 5
  25. 25.What comes next? 74, 65, 56, 47, 38, ? (a) 20 (b) 30 (c) 29 (d) 28
  26. 26.What comes next? 5, 13, 8, 16, 11, 19, ? (a) 24 (b) 27 (c) 13 (d) 14
  27. 27.What comes next? 20, 24, 28, 32, 36, ? (a) 44 (b) 41 (c) 40 (d) 39
  28. 28.What comes next? 10, 13, 17, 22, 28, ? (a) 36 (b) 35 (c) 37 (d) 34
  29. 29.What comes next? 52, 45, 38, 31, 24, ? (a) 10 (b) 16 (c) 18 (d) 17
  30. 30.What comes next? 42, 38, 34, 30, 26, ? (a) 23 (b) 21 (c) 22 (d) 18
  31. 31.What comes next? 20, 23, 22, 25, 24, 27, ? (a) 25 (b) 30 (c) 26 (d) 28
  32. 32.What comes next? 45, 37, 29, 21, 13, ? (a) 7 (b) 4 (c) 5 (d) 6
  33. 33.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 128 (d) 160
  34. 34.What comes next? 6, 12, 11, 17, 16, 22, ? (a) 23 (b) 21 (c) 20 (d) 28
  35. 35.What comes next? 24, 35, 46, 57, 68, ? (a) 80 (b) 78 (c) 90 (d) 79
  36. 36.What comes next? 16, 23, 22, 29, 28, 35, ? (a) 36 (b) 42 (c) 33 (d) 34
  37. 37.What comes next? 4, 10, 16, 22, 28, ? (a) 40 (b) 35 (c) 34 (d) 33
  38. 38.What comes next? 10, 17, 24, 31, 38, ? (a) 46 (b) 45 (c) 52 (d) 44
  39. 39.What comes next? 6, 11, 16, 21, 26, ? (a) 36 (b) 30 (c) 31 (d) 32
  40. 40.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64

Answer key

  1. 32
  2. 15
  3. 162
  4. 32
  5. 49
  6. 243
  7. 15
  8. 6
  9. 39
  10. 36
  11. 8
  12. 192
  13. 18
  14. 44
  15. 16
  16. 44
  17. 12
  18. 38
  19. 26
  20. 29
  21. 21
  22. 50
  23. 96
  24. 7
  25. 29
  26. 14
  27. 40
  28. 35
  29. 17
  30. 22
  31. 26
  32. 5
  33. 128
  34. 21
  35. 79
  36. 34
  37. 34
  38. 45
  39. 31
  40. 64

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