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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 586 · 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? 30, 27, 24, 21, 18, ? (a) 14 (b) 16 (c) 15 (d) 12
  2. 2.What comes next? 3, 9, 15, 21, 27, ? (a) 34 (b) 32 (c) 33 (d) 39
  3. 3.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 80 (d) 64
  4. 4.What comes next? 2, 13, 24, 35, 46, ? (a) 56 (b) 58 (c) 68 (d) 57
  5. 5.What comes next? 5, 7, 10, 14, 19, ? (a) 25 (b) 26 (c) 24 (d) 27
  6. 6.What comes next? 2, 3, 5, 8, 12, ? (a) 16 (b) 18 (c) 19 (d) 17
  7. 7.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 240 (c) 144 (d) 193
  8. 8.What comes next? 29, 25, 21, 17, 13, ? (a) 8 (b) 9 (c) 5 (d) 10
  9. 9.What comes next? 61, 52, 43, 34, 25, ? (a) 17 (b) 7 (c) 15 (d) 16
  10. 10.What comes next? 8, 17, 16, 25, 24, 33, ? (a) 42 (b) 34 (c) 31 (d) 32
  11. 11.What comes next? 47, 39, 31, 23, 15, ? (a) 8 (b) 6 (c) 9 (d) 7
  12. 12.What comes next? 16, 17, 19, 22, 26, ? (a) 33 (b) 30 (c) 31 (d) 32
  13. 13.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 81 (d) 90
  14. 14.What comes next? 20, 25, 21, 26, 22, 27, ? (a) 31 (b) 23 (c) 22 (d) 32
  15. 15.What comes next? 43, 40, 37, 34, 31, ? (a) 29 (b) 28 (c) 25 (d) 27
  16. 16.What comes next? 6, 8, 11, 15, 20, ? (a) 25 (b) 27 (c) 26 (d) 28
  17. 17.What comes next? 9, 18, 12, 21, 15, 24, ? (a) 18 (b) 17 (c) 30 (d) 33
  18. 18.What comes next? 12, 22, 32, 42, 52, ? (a) 63 (b) 61 (c) 62 (d) 72
  19. 19.What comes next? 13, 25, 37, 49, 61, ? (a) 74 (b) 73 (c) 72 (d) 85
  20. 20.What comes next? 17, 20, 24, 29, 35, ? (a) 41 (b) 44 (c) 42 (d) 43
  21. 21.What comes next? 4, 12, 5, 13, 6, 14, ? (a) 6 (b) 22 (c) 7 (d) 21
  22. 22.What comes next? 14, 16, 19, 23, 28, ? (a) 35 (b) 36 (c) 33 (d) 34
  23. 23.What comes next? 10, 18, 12, 20, 14, 22, ? (a) 15 (b) 30 (c) 28 (d) 16
  24. 24.What comes next? 19, 29, 39, 49, 59, ? (a) 68 (b) 70 (c) 79 (d) 69
  25. 25.What comes next? 45, 37, 29, 21, 13, ? (a) 4 (b) 5 (c) 6 (d) 7
  26. 26.What comes next? 35, 33, 31, 29, 27, ? (a) 25 (b) 26 (c) 24 (d) 23
  27. 27.What comes next? 17, 24, 31, 38, 45, ? (a) 51 (b) 59 (c) 53 (d) 52
  28. 28.What comes next? 14, 17, 16, 19, 18, 21, ? (a) 20 (b) 19 (c) 24 (d) 22
  29. 29.What comes next? 17, 19, 21, 23, 25, ? (a) 28 (b) 29 (c) 26 (d) 27
  30. 30.What comes next? 13, 18, 17, 22, 21, 26, ? (a) 31 (b) 24 (c) 25 (d) 27
  31. 31.What comes next? 4, 12, 9, 17, 14, 22, ? (a) 19 (b) 18 (c) 25 (d) 30
  32. 32.What comes next? 54, 45, 36, 27, 18, ? (a) 8 (b) 10 (c) 9 (d) 11
  33. 33.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144
  34. 34.What comes next? 8, 12, 17, 23, 30, ? (a) 39 (b) 38 (c) 40 (d) 37
  35. 35.What comes next? 10, 12, 15, 19, 24, ? (a) 31 (b) 30 (c) 29 (d) 32
  36. 36.What comes next? 13, 21, 16, 24, 19, 27, ? (a) 22 (b) 32 (c) 35 (d) 21
  37. 37.What comes next? 14, 18, 23, 29, 36, ? (a) 46 (b) 44 (c) 45 (d) 43
  38. 38.What comes next? 44, 37, 30, 23, 16, ? (a) 9 (b) 2 (c) 10 (d) 8
  39. 39.What comes next? 18, 21, 25, 30, 36, ? (a) 43 (b) 45 (c) 44 (d) 42
  40. 40.What comes next? 19, 26, 24, 31, 29, 36, ? (a) 43 (b) 33 (c) 34 (d) 38

Answer key

  1. 15
  2. 33
  3. 64
  4. 57
  5. 25
  6. 17
  7. 192
  8. 9
  9. 16
  10. 32
  11. 7
  12. 31
  13. 81
  14. 23
  15. 28
  16. 26
  17. 18
  18. 62
  19. 73
  20. 42
  21. 7
  22. 34
  23. 16
  24. 69
  25. 5
  26. 25
  27. 52
  28. 20
  29. 27
  30. 25
  31. 19
  32. 9
  33. 162
  34. 38
  35. 30
  36. 22
  37. 44
  38. 9
  39. 43
  40. 34

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