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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 472 · 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? 37, 33, 29, 25, 21, ? (a) 17 (b) 13 (c) 16 (d) 18
  2. 2.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  3. 3.What comes next? 20, 25, 30, 35, 40, ? (a) 44 (b) 45 (c) 50 (d) 46
  4. 4.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 162 (d) 180
  5. 5.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  6. 6.What comes next? 15, 20, 25, 30, 35, ? (a) 40 (b) 41 (c) 45 (d) 39
  7. 7.What comes next? 25, 22, 19, 16, 13, ? (a) 11 (b) 10 (c) 9 (d) 7
  8. 8.What comes next? 7, 15, 23, 31, 39, ? (a) 48 (b) 47 (c) 46 (d) 55
  9. 9.What comes next? 22, 20, 18, 16, 14, ? (a) 13 (b) 12 (c) 11 (d) 10
  10. 10.What comes next? 46, 39, 32, 25, 18, ? (a) 10 (b) 12 (c) 4 (d) 11
  11. 11.What comes next? 14, 18, 23, 29, 36, ? (a) 43 (b) 45 (c) 44 (d) 46
  12. 12.What comes next? 13, 11, 9, 7, 5, ? (a) 1 (b) 3 (c) 2 (d) 4
  13. 13.What comes next? 10, 13, 17, 22, 28, ? (a) 36 (b) 37 (c) 34 (d) 35
  14. 14.What comes next? 20, 28, 25, 33, 30, 38, ? (a) 41 (b) 35 (c) 34 (d) 46
  15. 15.What comes next? 10, 13, 16, 19, 22, ? (a) 26 (b) 25 (c) 24 (d) 28
  16. 16.What comes next? 9, 17, 14, 22, 19, 27, ? (a) 24 (b) 23 (c) 35 (d) 30
  17. 17.What comes next? 17, 24, 19, 26, 21, 28, ? (a) 23 (b) 33 (c) 22 (d) 35
  18. 18.What comes next? 19, 27, 35, 43, 51, ? (a) 67 (b) 58 (c) 60 (d) 59
  19. 19.What comes next? 8, 12, 9, 13, 10, 14, ? (a) 18 (b) 11 (c) 10 (d) 17
  20. 20.What comes next? 17, 26, 35, 44, 53, ? (a) 63 (b) 62 (c) 61 (d) 71
  21. 21.What comes next? 26, 22, 18, 14, 10, ? (a) 7 (b) 6 (c) 2 (d) 5
  22. 22.What comes next? 14, 23, 15, 24, 16, 25, ? (a) 16 (b) 17 (c) 34 (d) 33
  23. 23.What comes next? 11, 17, 14, 20, 17, 23, ? (a) 20 (b) 26 (c) 19 (d) 29
  24. 24.What comes next? 11, 23, 35, 47, 59, ? (a) 83 (b) 72 (c) 71 (d) 70
  25. 25.What comes next? 15, 22, 16, 23, 17, 24, ? (a) 31 (b) 18 (c) 30 (d) 17
  26. 26.What comes next? 16, 19, 22, 25, 28, ? (a) 32 (b) 34 (c) 31 (d) 30
  27. 27.What comes next? 2, 6, 11, 17, 24, ? (a) 31 (b) 32 (c) 33 (d) 34
  28. 28.What comes next? 30, 27, 24, 21, 18, ? (a) 12 (b) 15 (c) 16 (d) 14
  29. 29.What comes next? 39, 37, 35, 33, 31, ? (a) 30 (b) 29 (c) 27 (d) 28
  30. 30.What comes next? 38, 36, 34, 32, 30, ? (a) 28 (b) 26 (c) 29 (d) 27
  31. 31.What comes next? 41, 33, 25, 17, 9, ? (a) 2 (b) 4 (c) 1 (d) 3
  32. 32.What comes next? 10, 17, 24, 31, 38, ? (a) 52 (b) 46 (c) 44 (d) 45
  33. 33.What comes next? 9, 12, 16, 21, 27, ? (a) 36 (b) 33 (c) 35 (d) 34
  34. 34.What comes next? 5, 6, 8, 11, 15, ? (a) 22 (b) 20 (c) 19 (d) 21
  35. 35.What comes next? 10, 11, 13, 16, 20, ? (a) 24 (b) 25 (c) 26 (d) 27
  36. 36.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 41 (c) 40 (d) 43
  37. 37.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 17 (c) 15 (d) 16
  38. 38.What comes next? 9, 18, 10, 19, 11, 20, ? (a) 12 (b) 11 (c) 29 (d) 28
  39. 39.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 216 (d) 243
  40. 40.What comes next? 29, 27, 25, 23, 21, ? (a) 18 (b) 17 (c) 20 (d) 19

Answer key

  1. 17
  2. 32
  3. 45
  4. 162
  5. 160
  6. 40
  7. 10
  8. 47
  9. 12
  10. 11
  11. 44
  12. 3
  13. 35
  14. 35
  15. 25
  16. 24
  17. 23
  18. 59
  19. 11
  20. 62
  21. 6
  22. 17
  23. 20
  24. 71
  25. 18
  26. 31
  27. 32
  28. 15
  29. 29
  30. 28
  31. 1
  32. 45
  33. 34
  34. 20
  35. 25
  36. 41
  37. 16
  38. 12
  39. 243
  40. 19

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