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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 640 · 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? 11, 14, 17, 20, 23, ? (a) 25 (b) 27 (c) 26 (d) 29
  2. 2.What comes next? 21, 28, 35, 42, 49, ? (a) 63 (b) 57 (c) 56 (d) 55
  3. 3.What comes next? 35, 32, 29, 26, 23, ? (a) 20 (b) 21 (c) 19 (d) 17
  4. 4.What comes next? 35, 31, 27, 23, 19, ? (a) 11 (b) 15 (c) 14 (d) 16
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 162 (d) 180
  6. 6.What comes next? 13, 14, 16, 19, 23, ? (a) 29 (b) 27 (c) 30 (d) 28
  7. 7.What comes next? 2, 14, 26, 38, 50, ? (a) 63 (b) 61 (c) 74 (d) 62
  8. 8.What comes next? 28, 39, 50, 61, 72, ? (a) 82 (b) 94 (c) 84 (d) 83
  9. 9.What comes next? 38, 32, 26, 20, 14, ? (a) 2 (b) 8 (c) 7 (d) 9
  10. 10.What comes next? 19, 20, 22, 25, 29, ? (a) 36 (b) 33 (c) 35 (d) 34
  11. 11.What comes next? 26, 36, 46, 56, 66, ? (a) 76 (b) 77 (c) 75 (d) 86
  12. 12.What comes next? 11, 18, 25, 32, 39, ? (a) 46 (b) 53 (c) 47 (d) 45
  13. 13.What comes next? 7, 16, 11, 20, 15, 24, ? (a) 29 (b) 33 (c) 19 (d) 18
  14. 14.What comes next? 17, 18, 20, 23, 27, ? (a) 34 (b) 33 (c) 32 (d) 31
  15. 15.What comes next? 27, 25, 23, 21, 19, ? (a) 16 (b) 15 (c) 18 (d) 17
  16. 16.What comes next? 20, 25, 21, 26, 22, 27, ? (a) 22 (b) 31 (c) 23 (d) 32
  17. 17.What comes next? 10, 21, 32, 43, 54, ? (a) 64 (b) 65 (c) 76 (d) 66
  18. 18.What comes next? 14, 22, 17, 25, 20, 28, ? (a) 22 (b) 23 (c) 33 (d) 36
  19. 19.What comes next? 4, 10, 16, 22, 28, ? (a) 40 (b) 33 (c) 35 (d) 34
  20. 20.What comes next? 40, 37, 34, 31, 28, ? (a) 24 (b) 22 (c) 26 (d) 25
  21. 21.What comes next? 20, 29, 38, 47, 56, ? (a) 74 (b) 66 (c) 65 (d) 64
  22. 22.What comes next? 26, 30, 34, 38, 42, ? (a) 46 (b) 50 (c) 47 (d) 45
  23. 23.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  24. 24.What comes next? 13, 15, 18, 22, 27, ? (a) 33 (b) 35 (c) 32 (d) 34
  25. 25.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 129 (d) 96
  26. 26.What comes next? 7, 18, 29, 40, 51, ? (a) 63 (b) 73 (c) 61 (d) 62
  27. 27.What comes next? 29, 25, 21, 17, 13, ? (a) 10 (b) 9 (c) 8 (d) 5
  28. 28.What comes next? 32, 30, 28, 26, 24, ? (a) 22 (b) 21 (c) 23 (d) 20
  29. 29.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 243 (d) 216
  30. 30.What comes next? 3, 7, 12, 18, 25, ? (a) 32 (b) 34 (c) 35 (d) 33
  31. 31.What comes next? 7, 10, 14, 19, 25, ? (a) 31 (b) 34 (c) 32 (d) 33
  32. 32.What comes next? 28, 32, 36, 40, 44, ? (a) 48 (b) 49 (c) 47 (d) 52
  33. 33.What comes next? 7, 14, 9, 16, 11, 18, ? (a) 12 (b) 25 (c) 23 (d) 13
  34. 34.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 200 (c) 120 (d) 161
  35. 35.What comes next? 8, 13, 12, 17, 16, 21, ? (a) 26 (b) 19 (c) 20 (d) 22
  36. 36.What comes next? 14, 21, 19, 26, 24, 31, ? (a) 38 (b) 28 (c) 29 (d) 33
  37. 37.What comes next? 1, 5, 10, 16, 23, ? (a) 33 (b) 32 (c) 31 (d) 30
  38. 38.What comes next? 18, 20, 23, 27, 32, ? (a) 39 (b) 38 (c) 40 (d) 37
  39. 39.What comes next? 18, 28, 38, 48, 58, ? (a) 67 (b) 69 (c) 78 (d) 68
  40. 40.What comes next? 1, 4, 8, 13, 19, ? (a) 27 (b) 25 (c) 28 (d) 26

Answer key

  1. 26
  2. 56
  3. 20
  4. 15
  5. 162
  6. 28
  7. 62
  8. 83
  9. 8
  10. 34
  11. 76
  12. 46
  13. 19
  14. 32
  15. 17
  16. 23
  17. 65
  18. 23
  19. 34
  20. 25
  21. 65
  22. 46
  23. 81
  24. 33
  25. 128
  26. 62
  27. 9
  28. 22
  29. 243
  30. 33
  31. 32
  32. 48
  33. 13
  34. 160
  35. 20
  36. 29
  37. 31
  38. 38
  39. 68
  40. 26

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