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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 530 · 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? 42, 35, 28, 21, 14, ? (a) 7 (b) 9 (c) 6 (d) 8
  2. 2.What comes next? 14, 18, 23, 29, 36, ? (a) 46 (b) 45 (c) 43 (d) 44
  3. 3.What comes next? 26, 34, 42, 50, 58, ? (a) 67 (b) 66 (c) 74 (d) 65
  4. 4.What comes next? 6, 17, 28, 39, 50, ? (a) 60 (b) 61 (c) 62 (d) 72
  5. 5.What comes next? 13, 17, 21, 25, 29, ? (a) 32 (b) 37 (c) 34 (d) 33
  6. 6.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 72 (d) 90
  7. 7.What comes next? 13, 14, 16, 19, 23, ? (a) 27 (b) 30 (c) 29 (d) 28
  8. 8.What comes next? 1, 9, 7, 15, 13, 21, ? (a) 19 (b) 23 (c) 29 (d) 18
  9. 9.What comes next? 28, 23, 18, 13, 8, ? (a) 5 (b) 4 (c) 2 (d) 3
  10. 10.What comes next? 40, 37, 34, 31, 28, ? (a) 25 (b) 26 (c) 22 (d) 24
  11. 11.What comes next? 18, 21, 24, 27, 30, ? (a) 32 (b) 34 (c) 33 (d) 36
  12. 12.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 144 (d) 193
  13. 13.What comes next? 1, 4, 8, 13, 19, ? (a) 25 (b) 27 (c) 28 (d) 26
  14. 14.What comes next? 12, 16, 21, 27, 34, ? (a) 41 (b) 44 (c) 43 (d) 42
  15. 15.What comes next? 18, 20, 23, 27, 32, ? (a) 39 (b) 40 (c) 38 (d) 37
  16. 16.What comes next? 7, 12, 17, 22, 27, ? (a) 32 (b) 31 (c) 33 (d) 37
  17. 17.What comes next? 2, 10, 6, 14, 10, 18, ? (a) 26 (b) 14 (c) 22 (d) 13
  18. 18.What comes next? 22, 19, 16, 13, 10, ? (a) 7 (b) 8 (c) 4 (d) 6
  19. 19.What comes next? 16, 18, 21, 25, 30, ? (a) 35 (b) 38 (c) 37 (d) 36
  20. 20.What comes next? 8, 10, 13, 17, 22, ? (a) 29 (b) 27 (c) 28 (d) 30
  21. 21.What comes next? 27, 22, 17, 12, 7, ? (a) 4 (b) 3 (c) 1 (d) 2
  22. 22.What comes next? 28, 34, 40, 46, 52, ? (a) 59 (b) 57 (c) 58 (d) 64
  23. 23.What comes next? 15, 19, 24, 30, 37, ? (a) 44 (b) 47 (c) 46 (d) 45
  24. 24.What comes next? 52, 44, 36, 28, 20, ? (a) 13 (b) 4 (c) 11 (d) 12
  25. 25.What comes next? 10, 11, 13, 16, 20, ? (a) 27 (b) 26 (c) 24 (d) 25
  26. 26.What comes next? 8, 13, 10, 15, 12, 17, ? (a) 22 (b) 13 (c) 14 (d) 20
  27. 27.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 160 (d) 120
  28. 28.What comes next? 38, 32, 26, 20, 14, ? (a) 8 (b) 7 (c) 9 (d) 2
  29. 29.What comes next? 17, 20, 24, 29, 35, ? (a) 42 (b) 41 (c) 44 (d) 43
  30. 30.What comes next? 56, 49, 42, 35, 28, ? (a) 20 (b) 21 (c) 14 (d) 22
  31. 31.What comes next? 7, 17, 27, 37, 47, ? (a) 67 (b) 57 (c) 56 (d) 58
  32. 32.What comes next? 8, 12, 16, 20, 24, ? (a) 29 (b) 32 (c) 28 (d) 27
  33. 33.What comes next? 28, 25, 22, 19, 16, ? (a) 14 (b) 13 (c) 12 (d) 10
  34. 34.What comes next? 5, 16, 27, 38, 49, ? (a) 59 (b) 71 (c) 60 (d) 61
  35. 35.What comes next? 29, 38, 47, 56, 65, ? (a) 73 (b) 74 (c) 75 (d) 83
  36. 36.What comes next? 13, 19, 18, 24, 23, 29, ? (a) 28 (b) 27 (c) 30 (d) 35
  37. 37.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 144 (d) 162
  38. 38.What comes next? 16, 24, 19, 27, 22, 30, ? (a) 25 (b) 38 (c) 35 (d) 24
  39. 39.What comes next? 38, 34, 30, 26, 22, ? (a) 19 (b) 17 (c) 18 (d) 14
  40. 40.What comes next? 10, 14, 13, 17, 16, 20, ? (a) 21 (b) 19 (c) 18 (d) 24

Answer key

  1. 7
  2. 44
  3. 66
  4. 61
  5. 33
  6. 81
  7. 28
  8. 19
  9. 3
  10. 25
  11. 33
  12. 192
  13. 26
  14. 42
  15. 38
  16. 32
  17. 14
  18. 7
  19. 36
  20. 28
  21. 2
  22. 58
  23. 45
  24. 12
  25. 25
  26. 14
  27. 160
  28. 8
  29. 42
  30. 21
  31. 57
  32. 28
  33. 13
  34. 60
  35. 74
  36. 28
  37. 162
  38. 25
  39. 18
  40. 19

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