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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 994 · 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? 23, 20, 17, 14, 11, ? (a) 7 (b) 5 (c) 9 (d) 8
  2. 2.What comes next? 27, 36, 45, 54, 63, ? (a) 81 (b) 73 (c) 71 (d) 72
  3. 3.What comes next? 24, 20, 16, 12, 8, ? (a) 6 (b) 4 (c) 5 (d) 3
  4. 4.What comes next? 4, 6, 8, 10, 12, ? (a) 14 (b) 16 (c) 15 (d) 13
  5. 5.What comes next? 19, 20, 22, 25, 29, ? (a) 35 (b) 36 (c) 34 (d) 33
  6. 6.What comes next? 18, 23, 22, 27, 26, 31, ? (a) 30 (b) 32 (c) 29 (d) 36
  7. 7.What comes next? 29, 26, 23, 20, 17, ? (a) 13 (b) 14 (c) 11 (d) 15
  8. 8.What comes next? 44, 40, 36, 32, 28, ? (a) 23 (b) 24 (c) 25 (d) 20
  9. 9.What comes next? 20, 26, 21, 27, 22, 28, ? (a) 23 (b) 22 (c) 33 (d) 34
  10. 10.What comes next? 12, 13, 15, 18, 22, ? (a) 28 (b) 26 (c) 27 (d) 29
  11. 11.What comes next? 42, 34, 26, 18, 10, ? (a) 2 (b) 1 (c) 4 (d) 3
  12. 12.What comes next? 28, 24, 20, 16, 12, ? (a) 4 (b) 7 (c) 8 (d) 9
  13. 13.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  14. 14.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 120 (d) 97
  15. 15.What comes next? 2, 6, 11, 17, 24, ? (a) 33 (b) 34 (c) 32 (d) 31
  16. 16.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 129 (d) 128
  17. 17.What comes next? 59, 53, 47, 41, 35, ? (a) 28 (b) 23 (c) 30 (d) 29
  18. 18.What comes next? 14, 23, 15, 24, 16, 25, ? (a) 16 (b) 17 (c) 33 (d) 34
  19. 19.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  20. 20.What comes next? 16, 18, 21, 25, 30, ? (a) 37 (b) 36 (c) 35 (d) 38
  21. 21.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 45 (d) 72
  22. 22.What comes next? 3, 8, 13, 18, 23, ? (a) 28 (b) 29 (c) 33 (d) 27
  23. 23.What comes next? 40, 37, 34, 31, 28, ? (a) 24 (b) 22 (c) 25 (d) 26
  24. 24.What comes next? 30, 27, 24, 21, 18, ? (a) 12 (b) 16 (c) 15 (d) 14
  25. 25.What comes next? 12, 23, 34, 45, 56, ? (a) 68 (b) 78 (c) 67 (d) 66
  26. 26.What comes next? 20, 31, 42, 53, 64, ? (a) 75 (b) 86 (c) 74 (d) 76
  27. 27.What comes next? 32, 27, 22, 17, 12, ? (a) 2 (b) 8 (c) 6 (d) 7
  28. 28.What comes next? 59, 50, 41, 32, 23, ? (a) 15 (b) 14 (c) 5 (d) 13
  29. 29.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 13 (b) 8 (c) 9 (d) 11
  30. 30.What comes next? 15, 17, 19, 21, 23, ? (a) 25 (b) 27 (c) 24 (d) 26
  31. 31.What comes next? 8, 18, 28, 38, 48, ? (a) 68 (b) 57 (c) 58 (d) 59
  32. 32.What comes next? 31, 29, 27, 25, 23, ? (a) 19 (b) 20 (c) 21 (d) 22
  33. 33.What comes next? 31, 25, 19, 13, 7, ? (a) 4 (b) 3 (c) 1 (d) 2
  34. 34.What comes next? 25, 23, 21, 19, 17, ? (a) 16 (b) 15 (c) 13 (d) 14
  35. 35.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 243 (d) 270
  36. 36.What comes next? 17, 15, 13, 11, 9, ? (a) 8 (b) 5 (c) 7 (d) 6
  37. 37.What comes next? 46, 37, 28, 19, 10, ? (a) 3 (b) 1 (c) 2 (d) 4
  38. 38.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 193 (d) 192
  39. 39.What comes next? 43, 39, 35, 31, 27, ? (a) 19 (b) 24 (c) 22 (d) 23
  40. 40.What comes next? 67, 58, 49, 40, 31, ? (a) 13 (b) 22 (c) 21 (d) 23

Answer key

  1. 8
  2. 72
  3. 4
  4. 14
  5. 34
  6. 30
  7. 14
  8. 24
  9. 23
  10. 27
  11. 2
  12. 8
  13. 64
  14. 96
  15. 32
  16. 128
  17. 29
  18. 17
  19. 162
  20. 36
  21. 81
  22. 28
  23. 25
  24. 15
  25. 67
  26. 75
  27. 7
  28. 14
  29. 9
  30. 25
  31. 58
  32. 21
  33. 1
  34. 15
  35. 243
  36. 7
  37. 1
  38. 192
  39. 23
  40. 22

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