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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 95 · 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? 12, 22, 32, 42, 52, ? (a) 61 (b) 62 (c) 63 (d) 72
  2. 2.What comes next? 12, 20, 18, 26, 24, 32, ? (a) 40 (b) 30 (c) 34 (d) 29
  3. 3.What comes next? 13, 17, 22, 28, 35, ? (a) 42 (b) 45 (c) 44 (d) 43
  4. 4.What comes next? 36, 34, 32, 30, 28, ? (a) 25 (b) 26 (c) 24 (d) 27
  5. 5.What comes next? 1, 7, 6, 12, 11, 17, ? (a) 16 (b) 23 (c) 15 (d) 18
  6. 6.What comes next? 19, 16, 13, 10, 7, ? (a) 5 (b) 3 (c) 4 (d) 1
  7. 7.What comes next? 30, 33, 36, 39, 42, ? (a) 44 (b) 45 (c) 46 (d) 48
  8. 8.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 80 (d) 64
  9. 9.What comes next? 14, 17, 15, 18, 16, 19, ? (a) 17 (b) 21 (c) 16 (d) 22
  10. 10.What comes next? 28, 31, 34, 37, 40, ? (a) 43 (b) 46 (c) 42 (d) 44
  11. 11.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 7 (b) 9 (c) 6 (d) 11
  12. 12.What comes next? 12, 24, 36, 48, 60, ? (a) 73 (b) 72 (c) 71 (d) 84
  13. 13.What comes next? 17, 26, 24, 33, 31, 40, ? (a) 38 (b) 49 (c) 42 (d) 37
  14. 14.What comes next? 27, 38, 49, 60, 71, ? (a) 93 (b) 82 (c) 83 (d) 81
  15. 15.What comes next? 6, 14, 22, 30, 38, ? (a) 46 (b) 47 (c) 54 (d) 45
  16. 16.What comes next? 10, 12, 15, 19, 24, ? (a) 29 (b) 31 (c) 32 (d) 30
  17. 17.What comes next? 40, 38, 36, 34, 32, ? (a) 31 (b) 28 (c) 29 (d) 30
  18. 18.What comes next? 46, 39, 32, 25, 18, ? (a) 4 (b) 12 (c) 10 (d) 11
  19. 19.What comes next? 15, 20, 18, 23, 21, 26, ? (a) 23 (b) 24 (c) 28 (d) 31
  20. 20.What comes next? 9, 17, 25, 33, 41, ? (a) 57 (b) 48 (c) 49 (d) 50
  21. 21.What comes next? 16, 19, 18, 21, 20, 23, ? (a) 21 (b) 26 (c) 24 (d) 22
  22. 22.What comes next? 7, 14, 21, 28, 35, ? (a) 43 (b) 49 (c) 41 (d) 42
  23. 23.What comes next? 55, 46, 37, 28, 19, ? (a) 11 (b) 9 (c) 1 (d) 10
  24. 24.What comes next? 11, 12, 14, 17, 21, ? (a) 25 (b) 28 (c) 27 (d) 26
  25. 25.What comes next? 20, 24, 29, 35, 42, ? (a) 51 (b) 50 (c) 49 (d) 52
  26. 26.What comes next? 4, 13, 12, 21, 20, 29, ? (a) 30 (b) 38 (c) 27 (d) 28
  27. 27.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 81 (d) 45
  28. 28.What comes next? 11, 13, 16, 20, 25, ? (a) 32 (b) 30 (c) 33 (d) 31
  29. 29.What comes next? 15, 19, 23, 27, 31, ? (a) 35 (b) 39 (c) 34 (d) 36
  30. 30.What comes next? 30, 25, 20, 15, 10, ? (a) 7 (b) 4 (c) 5 (d) 6
  31. 31.What comes next? 27, 34, 41, 48, 55, ? (a) 62 (b) 69 (c) 61 (d) 63
  32. 32.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 128 (d) 96
  33. 33.What comes next? 16, 25, 21, 30, 26, 35, ? (a) 44 (b) 30 (c) 39 (d) 31
  34. 34.What comes next? 30, 28, 26, 24, 22, ? (a) 21 (b) 19 (c) 20 (d) 18
  35. 35.What comes next? 38, 31, 24, 17, 10, ? (a) 5 (b) 2 (c) 4 (d) 3
  36. 36.What comes next? 44, 39, 34, 29, 24, ? (a) 19 (b) 18 (c) 14 (d) 20
  37. 37.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 27 (c) 28 (d) 29
  38. 38.What comes next? 27, 25, 23, 21, 19, ? (a) 18 (b) 15 (c) 17 (d) 16
  39. 39.What comes next? 16, 24, 20, 28, 24, 32, ? (a) 40 (b) 36 (c) 27 (d) 28
  40. 40.What comes next? 21, 30, 39, 48, 57, ? (a) 65 (b) 67 (c) 75 (d) 66

Answer key

  1. 62
  2. 30
  3. 43
  4. 26
  5. 16
  6. 4
  7. 45
  8. 64
  9. 17
  10. 43
  11. 7
  12. 72
  13. 38
  14. 82
  15. 46
  16. 30
  17. 30
  18. 11
  19. 24
  20. 49
  21. 22
  22. 42
  23. 10
  24. 26
  25. 50
  26. 28
  27. 81
  28. 31
  29. 35
  30. 5
  31. 62
  32. 128
  33. 31
  34. 20
  35. 3
  36. 19
  37. 27
  38. 17
  39. 28
  40. 66

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