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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 572 · 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? 33, 28, 23, 18, 13, ? (a) 8 (b) 3 (c) 9 (d) 7
  2. 2.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 162 (d) 180
  3. 3.What comes next? 13, 19, 18, 24, 23, 29, ? (a) 27 (b) 30 (c) 35 (d) 28
  4. 4.What comes next? 45, 41, 37, 33, 29, ? (a) 21 (b) 26 (c) 24 (d) 25
  5. 5.What comes next? 27, 31, 35, 39, 43, ? (a) 46 (b) 48 (c) 51 (d) 47
  6. 6.What comes next? 11, 16, 21, 26, 31, ? (a) 37 (b) 36 (c) 35 (d) 41
  7. 7.What comes next? 23, 19, 15, 11, 7, ? (a) 4 (b) 3 (c) 2 (d) 5
  8. 8.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  9. 9.What comes next? 25, 23, 21, 19, 17, ? (a) 13 (b) 15 (c) 14 (d) 16
  10. 10.What comes next? 44, 41, 38, 35, 32, ? (a) 30 (b) 29 (c) 28 (d) 26
  11. 11.What comes next? 11, 15, 20, 26, 33, ? (a) 43 (b) 42 (c) 40 (d) 41
  12. 12.What comes next? 39, 36, 33, 30, 27, ? (a) 25 (b) 23 (c) 21 (d) 24
  13. 13.What comes next? 20, 24, 22, 26, 24, 28, ? (a) 25 (b) 32 (c) 30 (d) 26
  14. 14.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 64 (d) 48
  15. 15.What comes next? 41, 35, 29, 23, 17, ? (a) 12 (b) 5 (c) 10 (d) 11
  16. 16.What comes next? 15, 13, 11, 9, 7, ? (a) 6 (b) 3 (c) 5 (d) 4
  17. 17.What comes next? 14, 17, 21, 26, 32, ? (a) 41 (b) 38 (c) 40 (d) 39
  18. 18.What comes next? 20, 23, 21, 24, 22, 25, ? (a) 22 (b) 28 (c) 23 (d) 27
  19. 19.What comes next? 4, 8, 12, 16, 20, ? (a) 28 (b) 25 (c) 24 (d) 23
  20. 20.What comes next? 16, 17, 19, 22, 26, ? (a) 32 (b) 33 (c) 30 (d) 31
  21. 21.What comes next? 17, 21, 26, 32, 39, ? (a) 49 (b) 48 (c) 46 (d) 47
  22. 22.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 90 (d) 81
  23. 23.What comes next? 9, 12, 16, 21, 27, ? (a) 36 (b) 34 (c) 35 (d) 33
  24. 24.What comes next? 4, 6, 9, 13, 18, ? (a) 25 (b) 26 (c) 23 (d) 24
  25. 25.What comes next? 56, 49, 42, 35, 28, ? (a) 14 (b) 22 (c) 20 (d) 21
  26. 26.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 160 (d) 120
  27. 27.What comes next? 26, 35, 44, 53, 62, ? (a) 80 (b) 71 (c) 72 (d) 70
  28. 28.What comes next? 9, 21, 33, 45, 57, ? (a) 70 (b) 68 (c) 69 (d) 81
  29. 29.What comes next? 18, 22, 27, 33, 40, ? (a) 50 (b) 48 (c) 47 (d) 49
  30. 30.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 129 (d) 128
  31. 31.What comes next? 17, 18, 20, 23, 27, ? (a) 34 (b) 32 (c) 33 (d) 31
  32. 32.What comes next? 16, 19, 23, 28, 34, ? (a) 41 (b) 43 (c) 42 (d) 40
  33. 33.What comes next? 15, 19, 24, 30, 37, ? (a) 47 (b) 44 (c) 45 (d) 46
  34. 34.What comes next? 20, 24, 29, 35, 42, ? (a) 50 (b) 49 (c) 51 (d) 52
  35. 35.What comes next? 55, 50, 45, 40, 35, ? (a) 30 (b) 29 (c) 25 (d) 31
  36. 36.What comes next? 24, 36, 48, 60, 72, ? (a) 96 (b) 84 (c) 83 (d) 85
  37. 37.What comes next? 15, 17, 20, 24, 29, ? (a) 34 (b) 36 (c) 37 (d) 35
  38. 38.What comes next? 2, 4, 7, 11, 16, ? (a) 22 (b) 24 (c) 23 (d) 21
  39. 39.What comes next? 63, 55, 47, 39, 31, ? (a) 15 (b) 22 (c) 23 (d) 24
  40. 40.What comes next? 10, 19, 17, 26, 24, 33, ? (a) 35 (b) 42 (c) 30 (d) 31

Answer key

  1. 8
  2. 162
  3. 28
  4. 25
  5. 47
  6. 36
  7. 3
  8. 243
  9. 15
  10. 29
  11. 41
  12. 24
  13. 26
  14. 64
  15. 11
  16. 5
  17. 39
  18. 23
  19. 24
  20. 31
  21. 47
  22. 81
  23. 34
  24. 24
  25. 21
  26. 160
  27. 71
  28. 69
  29. 48
  30. 128
  31. 32
  32. 41
  33. 45
  34. 50
  35. 30
  36. 84
  37. 35
  38. 22
  39. 23
  40. 31

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