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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 19 · 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? 73, 64, 55, 46, 37, ? (a) 19 (b) 28 (c) 29 (d) 27
  2. 2.What comes next? 41, 38, 35, 32, 29, ? (a) 27 (b) 25 (c) 23 (d) 26
  3. 3.What comes next? 12, 17, 15, 20, 18, 23, ? (a) 21 (b) 25 (c) 20 (d) 28
  4. 4.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 96 (c) 129 (d) 160
  5. 5.What comes next? 2, 12, 22, 32, 42, ? (a) 53 (b) 51 (c) 52 (d) 62
  6. 6.What comes next? 37, 30, 23, 16, 9, ? (a) 4 (b) 3 (c) 1 (d) 2
  7. 7.What comes next? 19, 24, 21, 26, 23, 28, ? (a) 31 (b) 25 (c) 33 (d) 24
  8. 8.What comes next? 51, 44, 37, 30, 23, ? (a) 16 (b) 15 (c) 9 (d) 17
  9. 9.What comes next? 3, 12, 5, 14, 7, 16, ? (a) 25 (b) 8 (c) 9 (d) 23
  10. 10.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 18 (c) 19 (d) 20
  11. 11.What comes next? 9, 11, 14, 18, 23, ? (a) 28 (b) 30 (c) 31 (d) 29
  12. 12.What comes next? 7, 10, 13, 16, 19, ? (a) 25 (b) 23 (c) 22 (d) 21
  13. 13.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 72 (d) 81
  14. 14.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 31 (c) 28 (d) 29
  15. 15.What comes next? 34, 29, 24, 19, 14, ? (a) 10 (b) 4 (c) 9 (d) 8
  16. 16.What comes next? 15, 21, 27, 33, 39, ? (a) 46 (b) 51 (c) 45 (d) 44
  17. 17.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 180 (d) 162
  18. 18.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 193 (d) 192
  19. 19.What comes next? 2, 10, 18, 26, 34, ? (a) 43 (b) 50 (c) 41 (d) 42
  20. 20.What comes next? 18, 21, 24, 27, 30, ? (a) 34 (b) 33 (c) 32 (d) 36
  21. 21.What comes next? 10, 15, 14, 19, 18, 23, ? (a) 28 (b) 22 (c) 24 (d) 21
  22. 22.What comes next? 22, 26, 30, 34, 38, ? (a) 46 (b) 41 (c) 42 (d) 43
  23. 23.What comes next? 13, 18, 23, 28, 33, ? (a) 37 (b) 39 (c) 43 (d) 38
  24. 24.What comes next? 7, 9, 11, 13, 15, ? (a) 19 (b) 16 (c) 17 (d) 18
  25. 25.What comes next? 25, 33, 41, 49, 57, ? (a) 73 (b) 64 (c) 66 (d) 65
  26. 26.What comes next? 5, 12, 19, 26, 33, ? (a) 39 (b) 47 (c) 40 (d) 41
  27. 27.What comes next? 6, 10, 15, 21, 28, ? (a) 36 (b) 35 (c) 38 (d) 37
  28. 28.What comes next? 7, 10, 14, 19, 25, ? (a) 32 (b) 31 (c) 34 (d) 33
  29. 29.What comes next? 5, 14, 10, 19, 15, 24, ? (a) 28 (b) 20 (c) 19 (d) 33
  30. 30.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 65 (c) 80 (d) 48
  31. 31.What comes next? 33, 27, 21, 15, 9, ? (a) 2 (b) 3 (c) 5 (d) 4
  32. 32.What comes next? 16, 25, 34, 43, 52, ? (a) 70 (b) 60 (c) 61 (d) 62
  33. 33.What comes next? 14, 21, 18, 25, 22, 29, ? (a) 26 (b) 25 (c) 32 (d) 36
  34. 34.What comes next? 37, 32, 27, 22, 17, ? (a) 13 (b) 7 (c) 11 (d) 12
  35. 35.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 8 (b) 7 (c) 12 (d) 14
  36. 36.What comes next? 19, 23, 20, 24, 21, 25, ? (a) 28 (b) 29 (c) 22 (d) 21
  37. 37.What comes next? 11, 12, 14, 17, 21, ? (a) 25 (b) 27 (c) 26 (d) 28
  38. 38.What comes next? 7, 8, 10, 13, 17, ? (a) 21 (b) 23 (c) 22 (d) 24
  39. 39.What comes next? 50, 44, 38, 32, 26, ? (a) 20 (b) 14 (c) 21 (d) 19
  40. 40.What comes next? 38, 35, 32, 29, 26, ? (a) 24 (b) 22 (c) 23 (d) 20

Answer key

  1. 28
  2. 26
  3. 21
  4. 128
  5. 52
  6. 2
  7. 25
  8. 16
  9. 9
  10. 19
  11. 29
  12. 22
  13. 81
  14. 29
  15. 9
  16. 45
  17. 162
  18. 192
  19. 42
  20. 33
  21. 22
  22. 42
  23. 38
  24. 17
  25. 65
  26. 40
  27. 36
  28. 32
  29. 20
  30. 64
  31. 3
  32. 61
  33. 26
  34. 12
  35. 8
  36. 22
  37. 26
  38. 22
  39. 20
  40. 23

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