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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 479 · 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? 44, 37, 30, 23, 16, ? (a) 10 (b) 2 (c) 9 (d) 8
  2. 2.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 144 (d) 162
  3. 3.What comes next? 13, 19, 14, 20, 15, 21, ? (a) 16 (b) 26 (c) 15 (d) 27
  4. 4.What comes next? 19, 23, 27, 31, 35, ? (a) 43 (b) 39 (c) 38 (d) 40
  5. 5.What comes next? 16, 24, 22, 30, 28, 36, ? (a) 33 (b) 44 (c) 34 (d) 38
  6. 6.What comes next? 7, 11, 15, 19, 23, ? (a) 28 (b) 27 (c) 26 (d) 31
  7. 7.What comes next? 36, 29, 22, 15, 8, ? (a) 4 (b) 3 (c) 1 (d) 2
  8. 8.What comes next? 20, 28, 36, 44, 52, ? (a) 59 (b) 61 (c) 60 (d) 68
  9. 9.What comes next? 30, 36, 42, 48, 54, ? (a) 66 (b) 61 (c) 59 (d) 60
  10. 10.What comes next? 15, 19, 24, 30, 37, ? (a) 47 (b) 44 (c) 46 (d) 45
  11. 11.What comes next? 40, 34, 28, 22, 16, ? (a) 10 (b) 11 (c) 9 (d) 4
  12. 12.What comes next? 17, 25, 33, 41, 49, ? (a) 58 (b) 57 (c) 56 (d) 65
  13. 13.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 40 (d) 24
  14. 14.What comes next? 53, 48, 43, 38, 33, ? (a) 27 (b) 29 (c) 28 (d) 23
  15. 15.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 216 (d) 243
  16. 16.What comes next? 20, 22, 25, 29, 34, ? (a) 42 (b) 41 (c) 39 (d) 40
  17. 17.What comes next? 12, 16, 21, 27, 34, ? (a) 44 (b) 41 (c) 42 (d) 43
  18. 18.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 120 (d) 97
  19. 19.What comes next? 21, 28, 35, 42, 49, ? (a) 55 (b) 56 (c) 57 (d) 63
  20. 20.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 160 (c) 161 (d) 120
  21. 21.What comes next? 10, 14, 12, 16, 14, 18, ? (a) 22 (b) 20 (c) 16 (d) 15
  22. 22.What comes next? 27, 22, 17, 12, 7, ? (a) 4 (b) 1 (c) 2 (d) 3
  23. 23.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 40 (c) 43 (d) 41
  24. 24.What comes next? 32, 27, 22, 17, 12, ? (a) 8 (b) 7 (c) 2 (d) 6
  25. 25.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  26. 26.What comes next? 1, 3, 6, 10, 15, ? (a) 21 (b) 22 (c) 23 (d) 20
  27. 27.What comes next? 19, 20, 22, 25, 29, ? (a) 35 (b) 33 (c) 34 (d) 36
  28. 28.What comes next? 15, 21, 27, 33, 39, ? (a) 46 (b) 44 (c) 51 (d) 45
  29. 29.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 96 (d) 129
  30. 30.What comes next? 5, 8, 11, 14, 17, ? (a) 23 (b) 21 (c) 19 (d) 20
  31. 31.What comes next? 40, 38, 36, 34, 32, ? (a) 31 (b) 30 (c) 29 (d) 28
  32. 32.What comes next? 39, 34, 29, 24, 19, ? (a) 9 (b) 15 (c) 13 (d) 14
  33. 33.What comes next? 5, 8, 6, 9, 7, 10, ? (a) 7 (b) 8 (c) 13 (d) 12
  34. 34.What comes next? 10, 15, 11, 16, 12, 17, ? (a) 22 (b) 21 (c) 12 (d) 13
  35. 35.What comes next? 12, 13, 15, 18, 22, ? (a) 28 (b) 26 (c) 29 (d) 27
  36. 36.What comes next? 46, 37, 28, 19, 10, ? (a) 4 (b) 3 (c) 1 (d) 2
  37. 37.What comes next? 4, 5, 7, 10, 14, ? (a) 21 (b) 19 (c) 20 (d) 18
  38. 38.What comes next? 60, 53, 46, 39, 32, ? (a) 24 (b) 25 (c) 26 (d) 18
  39. 39.What comes next? 23, 28, 33, 38, 43, ? (a) 53 (b) 48 (c) 49 (d) 47
  40. 40.What comes next? 18, 20, 23, 27, 32, ? (a) 40 (b) 39 (c) 37 (d) 38

Answer key

  1. 9
  2. 162
  3. 16
  4. 39
  5. 34
  6. 27
  7. 1
  8. 60
  9. 60
  10. 45
  11. 10
  12. 57
  13. 32
  14. 28
  15. 243
  16. 40
  17. 42
  18. 96
  19. 56
  20. 160
  21. 16
  22. 2
  23. 41
  24. 7
  25. 81
  26. 21
  27. 34
  28. 45
  29. 128
  30. 20
  31. 30
  32. 14
  33. 8
  34. 13
  35. 27
  36. 1
  37. 19
  38. 25
  39. 48
  40. 38

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