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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 176 · 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? 18, 26, 20, 28, 22, 30, ? (a) 38 (b) 24 (c) 23 (d) 36
  2. 2.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 96 (c) 120 (d) 97
  3. 3.What comes next? 20, 24, 23, 27, 26, 30, ? (a) 28 (b) 34 (c) 29 (d) 31
  4. 4.What comes next? 44, 41, 38, 35, 32, ? (a) 26 (b) 29 (c) 28 (d) 30
  5. 5.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 48 (d) 80
  6. 6.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  7. 7.What comes next? 4, 11, 5, 12, 6, 13, ? (a) 19 (b) 20 (c) 7 (d) 6
  8. 8.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 128 (d) 129
  9. 9.What comes next? 28, 24, 20, 16, 12, ? (a) 4 (b) 8 (c) 9 (d) 7
  10. 10.What comes next? 28, 34, 40, 46, 52, ? (a) 64 (b) 59 (c) 57 (d) 58
  11. 11.What comes next? 21, 31, 41, 51, 61, ? (a) 70 (b) 72 (c) 71 (d) 81
  12. 12.What comes next? 6, 13, 20, 27, 34, ? (a) 48 (b) 40 (c) 41 (d) 42
  13. 13.What comes next? 48, 43, 38, 33, 28, ? (a) 24 (b) 23 (c) 22 (d) 18
  14. 14.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 193 (c) 144 (d) 240
  15. 15.What comes next? 13, 16, 20, 25, 31, ? (a) 40 (b) 39 (c) 38 (d) 37
  16. 16.What comes next? 24, 27, 30, 33, 36, ? (a) 39 (b) 38 (c) 40 (d) 42
  17. 17.What comes next? 4, 6, 8, 10, 12, ? (a) 13 (b) 14 (c) 15 (d) 16
  18. 18.What comes next? 43, 37, 31, 25, 19, ? (a) 13 (b) 12 (c) 7 (d) 14
  19. 19.What comes next? 20, 17, 14, 11, 8, ? (a) 2 (b) 6 (c) 4 (d) 5
  20. 20.What comes next? 2, 9, 4, 11, 6, 13, ? (a) 18 (b) 8 (c) 7 (d) 20
  21. 21.What comes next? 15, 23, 31, 39, 47, ? (a) 63 (b) 56 (c) 55 (d) 54
  22. 22.What comes next? 25, 29, 33, 37, 41, ? (a) 44 (b) 45 (c) 49 (d) 46
  23. 23.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 270 (d) 216
  24. 24.What comes next? 35, 31, 27, 23, 19, ? (a) 14 (b) 15 (c) 16 (d) 11
  25. 25.What comes next? 10, 19, 14, 23, 18, 27, ? (a) 21 (b) 36 (c) 22 (d) 32
  26. 26.What comes next? 25, 23, 21, 19, 17, ? (a) 15 (b) 14 (c) 16 (d) 13
  27. 27.What comes next? 14, 18, 23, 29, 36, ? (a) 44 (b) 46 (c) 43 (d) 45
  28. 28.What comes next? 28, 25, 22, 19, 16, ? (a) 13 (b) 14 (c) 10 (d) 12
  29. 29.What comes next? 64, 56, 48, 40, 32, ? (a) 24 (b) 23 (c) 25 (d) 16
  30. 30.What comes next? 9, 14, 13, 18, 17, 22, ? (a) 21 (b) 27 (c) 20 (d) 23
  31. 31.What comes next? 12, 19, 17, 24, 22, 29, ? (a) 36 (b) 26 (c) 27 (d) 31
  32. 32.What comes next? 11, 9, 7, 5, 3, ? (a) 3 (b) 1 (c) 2 (d) 4
  33. 33.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 144 (d) 162
  34. 34.What comes next? 19, 23, 27, 31, 35, ? (a) 38 (b) 39 (c) 43 (d) 40
  35. 35.What comes next? 71, 62, 53, 44, 35, ? (a) 17 (b) 26 (c) 27 (d) 25
  36. 36.What comes next? 7, 19, 31, 43, 55, ? (a) 66 (b) 79 (c) 67 (d) 68
  37. 37.What comes next? 15, 17, 20, 24, 29, ? (a) 35 (b) 37 (c) 34 (d) 36
  38. 38.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 40 (c) 41 (d) 43
  39. 39.What comes next? 5, 9, 14, 20, 27, ? (a) 36 (b) 37 (c) 34 (d) 35
  40. 40.What comes next? 5, 12, 6, 13, 7, 14, ? (a) 8 (b) 7 (c) 20 (d) 21

Answer key

  1. 24
  2. 96
  3. 29
  4. 29
  5. 64
  6. 160
  7. 7
  8. 128
  9. 8
  10. 58
  11. 71
  12. 41
  13. 23
  14. 192
  15. 38
  16. 39
  17. 14
  18. 13
  19. 5
  20. 8
  21. 55
  22. 45
  23. 243
  24. 15
  25. 22
  26. 15
  27. 44
  28. 13
  29. 24
  30. 21
  31. 27
  32. 1
  33. 162
  34. 39
  35. 26
  36. 67
  37. 35
  38. 41
  39. 35
  40. 8

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