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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 394 · 40 questions
TalentJR

How to solve it (Look at the gaps): Look at two numbers side by side and find the jump: 5 → 10 is a jump of +5. Is the jump the same every time? Then add the same jump once more to the last number. Going down? Take away the same jump. Harder patterns: the jump can grow (+2, +3, +4 …) or the numbers can double (2, 4, 8, 16 …).

NameDateTime takenScore ___ / 40
  1. 1.What comes next? 22, 28, 34, 40, 46, ? (a) 51 (b) 52 (c) 53 (d) 58
  2. 2.What comes next? 8, 9, 11, 14, 18, ? (a) 24 (b) 25 (c) 22 (d) 23
  3. 3.What comes next? 21, 31, 41, 51, 61, ? (a) 71 (b) 81 (c) 72 (d) 70
  4. 4.What comes next? 2, 4, 7, 11, 16, ? (a) 23 (b) 21 (c) 22 (d) 24
  5. 5.What comes next? 28, 23, 18, 13, 8, ? (a) 5 (b) 4 (c) 2 (d) 3
  6. 6.What comes next? 14, 21, 17, 24, 20, 27, ? (a) 31 (b) 22 (c) 34 (d) 23
  7. 7.What comes next? 30, 32, 34, 36, 38, ? (a) 42 (b) 40 (c) 39 (d) 41
  8. 8.What comes next? 16, 20, 25, 31, 38, ? (a) 46 (b) 47 (c) 48 (d) 45
  9. 9.What comes next? 35, 33, 31, 29, 27, ? (a) 24 (b) 23 (c) 25 (d) 26
  10. 10.What comes next? 8, 16, 10, 18, 12, 20, ? (a) 14 (b) 26 (c) 13 (d) 28
  11. 11.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 33 (d) 32
  12. 12.What comes next? 2, 13, 24, 35, 46, ? (a) 68 (b) 58 (c) 56 (d) 57
  13. 13.What comes next? 39, 34, 29, 24, 19, ? (a) 13 (b) 9 (c) 14 (d) 15
  14. 14.What comes next? 60, 54, 48, 42, 36, ? (a) 29 (b) 30 (c) 31 (d) 24
  15. 15.What comes next? 33, 28, 23, 18, 13, ? (a) 9 (b) 3 (c) 7 (d) 8
  16. 16.What comes next? 3, 8, 13, 18, 23, ? (a) 29 (b) 33 (c) 27 (d) 28
  17. 17.What comes next? 48, 41, 34, 27, 20, ? (a) 12 (b) 14 (c) 13 (d) 6
  18. 18.What comes next? 14, 22, 21, 29, 28, 36, ? (a) 44 (b) 34 (c) 35 (d) 37
  19. 19.What comes next? 5, 9, 14, 20, 27, ? (a) 35 (b) 36 (c) 37 (d) 34
  20. 20.What comes next? 16, 20, 24, 28, 32, ? (a) 40 (b) 36 (c) 37 (d) 35
  21. 21.What comes next? 50, 44, 38, 32, 26, ? (a) 20 (b) 19 (c) 21 (d) 14
  22. 22.What comes next? 9, 15, 21, 27, 33, ? (a) 45 (b) 40 (c) 39 (d) 38
  23. 23.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 193 (d) 192
  24. 24.What comes next? 15, 19, 24, 30, 37, ? (a) 47 (b) 46 (c) 44 (d) 45
  25. 25.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 24 (c) 25 (d) 27
  26. 26.What comes next? 6, 10, 15, 21, 28, ? (a) 37 (b) 35 (c) 38 (d) 36
  27. 27.What comes next? 20, 22, 25, 29, 34, ? (a) 39 (b) 42 (c) 41 (d) 40
  28. 28.What comes next? 36, 30, 24, 18, 12, ? (a) 6 (b) 5 (c) 7 (d) 8
  29. 29.What comes next? 18, 20, 23, 27, 32, ? (a) 38 (b) 37 (c) 39 (d) 40
  30. 30.What comes next? 21, 25, 29, 33, 37, ? (a) 40 (b) 42 (c) 41 (d) 45
  31. 31.What comes next? 15, 18, 22, 27, 33, ? (a) 42 (b) 40 (c) 41 (d) 39
  32. 32.What comes next? 28, 31, 34, 37, 40, ? (a) 43 (b) 42 (c) 46 (d) 44
  33. 33.What comes next? 49, 45, 41, 37, 33, ? (a) 28 (b) 25 (c) 29 (d) 30
  34. 34.What comes next? 44, 39, 34, 29, 24, ? (a) 18 (b) 20 (c) 14 (d) 19
  35. 35.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 28 (c) 31 (d) 29
  36. 36.What comes next? 29, 38, 47, 56, 65, ? (a) 83 (b) 75 (c) 74 (d) 73
  37. 37.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 160 (d) 161
  38. 38.What comes next? 23, 29, 35, 41, 47, ? (a) 59 (b) 53 (c) 52 (d) 54
  39. 39.What comes next? 17, 26, 25, 34, 33, 42, ? (a) 51 (b) 43 (c) 41 (d) 40
  40. 40.What comes next? 34, 29, 24, 19, 14, ? (a) 10 (b) 9 (c) 4 (d) 8

Answer key

  1. 52
  2. 23
  3. 71
  4. 22
  5. 3
  6. 23
  7. 40
  8. 46
  9. 25
  10. 14
  11. 32
  12. 57
  13. 14
  14. 30
  15. 8
  16. 28
  17. 13
  18. 35
  19. 35
  20. 36
  21. 20
  22. 39
  23. 192
  24. 45
  25. 25
  26. 36
  27. 40
  28. 6
  29. 38
  30. 41
  31. 40
  32. 43
  33. 29
  34. 19
  35. 29
  36. 74
  37. 160
  38. 53
  39. 41
  40. 9

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