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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 527 · 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? 40, 34, 28, 22, 16, ? (a) 4 (b) 9 (c) 10 (d) 11
  2. 2.What comes next? 24, 21, 18, 15, 12, ? (a) 10 (b) 8 (c) 6 (d) 9
  3. 3.What comes next? 3, 15, 27, 39, 51, ? (a) 62 (b) 63 (c) 64 (d) 75
  4. 4.What comes next? 7, 13, 8, 14, 9, 15, ? (a) 9 (b) 10 (c) 20 (d) 21
  5. 5.What comes next? 5, 9, 7, 11, 9, 13, ? (a) 17 (b) 15 (c) 11 (d) 10
  6. 6.What comes next? 28, 35, 42, 49, 56, ? (a) 63 (b) 64 (c) 70 (d) 62
  7. 7.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 180 (d) 90
  8. 8.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 48 (d) 64
  9. 9.What comes next? 12, 19, 15, 22, 18, 25, ? (a) 32 (b) 21 (c) 20 (d) 29
  10. 10.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  11. 11.What comes next? 28, 36, 44, 52, 60, ? (a) 76 (b) 69 (c) 68 (d) 67
  12. 12.What comes next? 28, 24, 20, 16, 12, ? (a) 9 (b) 7 (c) 4 (d) 8
  13. 13.What comes next? 10, 11, 13, 16, 20, ? (a) 25 (b) 26 (c) 27 (d) 24
  14. 14.What comes next? 54, 45, 36, 27, 18, ? (a) 10 (b) 8 (c) 11 (d) 9
  15. 15.What comes next? 32, 26, 20, 14, 8, ? (a) 3 (b) 4 (c) 1 (d) 2
  16. 16.What comes next? 14, 16, 19, 23, 28, ? (a) 33 (b) 36 (c) 35 (d) 34
  17. 17.What comes next? 23, 34, 45, 56, 67, ? (a) 89 (b) 77 (c) 78 (d) 79
  18. 18.What comes next? 22, 20, 18, 16, 14, ? (a) 11 (b) 13 (c) 10 (d) 12
  19. 19.What comes next? 14, 21, 15, 22, 16, 23, ? (a) 16 (b) 30 (c) 17 (d) 29
  20. 20.What comes next? 26, 29, 32, 35, 38, ? (a) 41 (b) 42 (c) 40 (d) 44
  21. 21.What comes next? 19, 23, 28, 34, 41, ? (a) 49 (b) 50 (c) 51 (d) 48
  22. 22.What comes next? 57, 48, 39, 30, 21, ? (a) 13 (b) 11 (c) 3 (d) 12
  23. 23.What comes next? 25, 32, 39, 46, 53, ? (a) 61 (b) 59 (c) 60 (d) 67
  24. 24.What comes next? 8, 14, 20, 26, 32, ? (a) 44 (b) 39 (c) 37 (d) 38
  25. 25.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  26. 26.What comes next? 10, 14, 12, 16, 14, 18, ? (a) 20 (b) 22 (c) 16 (d) 15
  27. 27.What comes next? 15, 19, 24, 30, 37, ? (a) 46 (b) 47 (c) 45 (d) 44
  28. 28.What comes next? 9, 12, 16, 21, 27, ? (a) 33 (b) 35 (c) 36 (d) 34
  29. 29.What comes next? 2, 10, 6, 14, 10, 18, ? (a) 26 (b) 13 (c) 14 (d) 22
  30. 30.What comes next? 3, 4, 6, 9, 13, ? (a) 20 (b) 19 (c) 17 (d) 18
  31. 31.What comes next? 11, 14, 18, 23, 29, ? (a) 38 (b) 35 (c) 37 (d) 36
  32. 32.What comes next? 15, 21, 27, 33, 39, ? (a) 51 (b) 44 (c) 45 (d) 46
  33. 33.What comes next? 24, 30, 36, 42, 48, ? (a) 55 (b) 53 (c) 54 (d) 60
  34. 34.What comes next? 33, 31, 29, 27, 25, ? (a) 21 (b) 22 (c) 24 (d) 23
  35. 35.What comes next? 18, 25, 22, 29, 26, 33, ? (a) 40 (b) 36 (c) 30 (d) 29
  36. 36.What comes next? 60, 53, 46, 39, 32, ? (a) 26 (b) 18 (c) 25 (d) 24
  37. 37.What comes next? 20, 27, 21, 28, 22, 29, ? (a) 36 (b) 22 (c) 23 (d) 35
  38. 38.What comes next? 25, 21, 17, 13, 9, ? (a) 1 (b) 4 (c) 6 (d) 5
  39. 39.What comes next? 17, 20, 18, 21, 19, 22, ? (a) 25 (b) 19 (c) 24 (d) 20
  40. 40.What comes next? 18, 19, 21, 24, 28, ? (a) 32 (b) 35 (c) 33 (d) 34

Answer key

  1. 10
  2. 9
  3. 63
  4. 10
  5. 11
  6. 63
  7. 162
  8. 64
  9. 21
  10. 81
  11. 68
  12. 8
  13. 25
  14. 9
  15. 2
  16. 34
  17. 78
  18. 12
  19. 17
  20. 41
  21. 49
  22. 12
  23. 60
  24. 38
  25. 160
  26. 16
  27. 45
  28. 34
  29. 14
  30. 18
  31. 36
  32. 45
  33. 54
  34. 23
  35. 30
  36. 25
  37. 23
  38. 5
  39. 20
  40. 33

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