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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 632 · 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, 29, 35, 41, 47, ? (a) 53 (b) 52 (c) 59 (d) 54
  2. 2.What comes next? 19, 22, 26, 31, 37, ? (a) 44 (b) 43 (c) 45 (d) 46
  3. 3.What comes next? 70, 62, 54, 46, 38, ? (a) 30 (b) 29 (c) 22 (d) 31
  4. 4.What comes next? 21, 28, 35, 42, 49, ? (a) 57 (b) 63 (c) 55 (d) 56
  5. 5.What comes next? 17, 20, 24, 29, 35, ? (a) 42 (b) 44 (c) 43 (d) 41
  6. 6.What comes next? 15, 13, 11, 9, 7, ? (a) 6 (b) 5 (c) 3 (d) 4
  7. 7.What comes next? 27, 29, 31, 33, 35, ? (a) 36 (b) 38 (c) 37 (d) 39
  8. 8.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 15 (b) 9 (c) 14 (d) 10
  9. 9.What comes next? 18, 20, 23, 27, 32, ? (a) 40 (b) 39 (c) 37 (d) 38
  10. 10.What comes next? 40, 33, 26, 19, 12, ? (a) 4 (b) 7 (c) 6 (d) 5
  11. 11.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 144 (d) 162
  12. 12.What comes next? 10, 13, 16, 19, 22, ? (a) 26 (b) 24 (c) 28 (d) 25
  13. 13.What comes next? 10, 13, 17, 22, 28, ? (a) 37 (b) 34 (c) 35 (d) 36
  14. 14.What comes next? 43, 36, 29, 22, 15, ? (a) 7 (b) 8 (c) 9 (d) 1
  15. 15.What comes next? 34, 29, 24, 19, 14, ? (a) 8 (b) 4 (c) 10 (d) 9
  16. 16.What comes next? 9, 12, 11, 14, 13, 16, ? (a) 19 (b) 14 (c) 15 (d) 17
  17. 17.What comes next? 3, 7, 12, 18, 25, ? (a) 32 (b) 33 (c) 34 (d) 35
  18. 18.What comes next? 39, 34, 29, 24, 19, ? (a) 13 (b) 9 (c) 14 (d) 15
  19. 19.What comes next? 74, 65, 56, 47, 38, ? (a) 28 (b) 29 (c) 30 (d) 20
  20. 20.What comes next? 2, 6, 11, 17, 24, ? (a) 31 (b) 33 (c) 34 (d) 32
  21. 21.What comes next? 37, 32, 27, 22, 17, ? (a) 11 (b) 13 (c) 12 (d) 7
  22. 22.What comes next? 31, 26, 21, 16, 11, ? (a) 5 (b) 1 (c) 7 (d) 6
  23. 23.What comes next? 43, 40, 37, 34, 31, ? (a) 29 (b) 25 (c) 28 (d) 27
  24. 24.What comes next? 42, 39, 36, 33, 30, ? (a) 24 (b) 27 (c) 26 (d) 28
  25. 25.What comes next? 9, 11, 14, 18, 23, ? (a) 28 (b) 30 (c) 31 (d) 29
  26. 26.What comes next? 17, 21, 26, 32, 39, ? (a) 47 (b) 46 (c) 48 (d) 49
  27. 27.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 160 (d) 128
  28. 28.What comes next? 26, 30, 34, 38, 42, ? (a) 46 (b) 47 (c) 45 (d) 50
  29. 29.What comes next? 16, 17, 19, 22, 26, ? (a) 33 (b) 31 (c) 30 (d) 32
  30. 30.What comes next? 18, 30, 42, 54, 66, ? (a) 79 (b) 90 (c) 78 (d) 77
  31. 31.What comes next? 11, 14, 18, 23, 29, ? (a) 37 (b) 35 (c) 36 (d) 38
  32. 32.What comes next? 6, 7, 9, 12, 16, ? (a) 20 (b) 23 (c) 22 (d) 21
  33. 33.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 243 (d) 270
  34. 34.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 90 (d) 81
  35. 35.What comes next? 16, 22, 28, 34, 40, ? (a) 47 (b) 52 (c) 46 (d) 45
  36. 36.What comes next? 21, 19, 17, 15, 13, ? (a) 9 (b) 10 (c) 12 (d) 11
  37. 37.What comes next? 25, 21, 17, 13, 9, ? (a) 5 (b) 1 (c) 6 (d) 4
  38. 38.What comes next? 14, 21, 18, 25, 22, 29, ? (a) 32 (b) 25 (c) 26 (d) 36
  39. 39.What comes next? 6, 15, 8, 17, 10, 19, ? (a) 26 (b) 11 (c) 28 (d) 12
  40. 40.What comes next? 4, 8, 13, 19, 26, ? (a) 33 (b) 35 (c) 34 (d) 36

Answer key

  1. 53
  2. 44
  3. 30
  4. 56
  5. 42
  6. 5
  7. 37
  8. 10
  9. 38
  10. 5
  11. 162
  12. 25
  13. 35
  14. 8
  15. 9
  16. 15
  17. 33
  18. 14
  19. 29
  20. 32
  21. 12
  22. 6
  23. 28
  24. 27
  25. 29
  26. 47
  27. 128
  28. 46
  29. 31
  30. 78
  31. 36
  32. 21
  33. 243
  34. 81
  35. 46
  36. 11
  37. 5
  38. 26
  39. 12
  40. 34

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