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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 437 · 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? 17, 20, 24, 29, 35, ? (a) 43 (b) 41 (c) 44 (d) 42
  2. 2.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 80 (d) 48
  3. 3.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  4. 4.What comes next? 19, 20, 22, 25, 29, ? (a) 34 (b) 36 (c) 35 (d) 33
  5. 5.What comes next? 10, 11, 13, 16, 20, ? (a) 27 (b) 24 (c) 26 (d) 25
  6. 6.What comes next? 17, 15, 13, 11, 9, ? (a) 5 (b) 6 (c) 7 (d) 8
  7. 7.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 17 (c) 15 (d) 16
  8. 8.What comes next? 4, 5, 7, 10, 14, ? (a) 18 (b) 21 (c) 19 (d) 20
  9. 9.What comes next? 11, 15, 19, 23, 27, ? (a) 32 (b) 35 (c) 31 (d) 30
  10. 10.What comes next? 61, 53, 45, 37, 29, ? (a) 21 (b) 20 (c) 13 (d) 22
  11. 11.What comes next? 18, 20, 23, 27, 32, ? (a) 38 (b) 40 (c) 37 (d) 39
  12. 12.What comes next? 13, 17, 21, 25, 29, ? (a) 37 (b) 32 (c) 33 (d) 34
  13. 13.What comes next? 37, 31, 25, 19, 13, ? (a) 8 (b) 1 (c) 7 (d) 6
  14. 14.What comes next? 28, 25, 22, 19, 16, ? (a) 13 (b) 14 (c) 10 (d) 12
  15. 15.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 120 (d) 160
  16. 16.What comes next? 32, 26, 20, 14, 8, ? (a) 3 (b) 4 (c) 1 (d) 2
  17. 17.What comes next? 25, 28, 31, 34, 37, ? (a) 39 (b) 40 (c) 41 (d) 43
  18. 18.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 96 (d) 129
  19. 19.What comes next? 20, 27, 23, 30, 26, 33, ? (a) 37 (b) 40 (c) 28 (d) 29
  20. 20.What comes next? 29, 41, 53, 65, 77, ? (a) 101 (b) 90 (c) 89 (d) 88
  21. 21.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 72 (d) 90
  22. 22.What comes next? 24, 29, 34, 39, 44, ? (a) 49 (b) 48 (c) 54 (d) 50
  23. 23.What comes next? 18, 26, 22, 30, 26, 34, ? (a) 30 (b) 42 (c) 38 (d) 29
  24. 24.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 32 (c) 24 (d) 33
  25. 25.What comes next? 10, 16, 11, 17, 12, 18, ? (a) 13 (b) 23 (c) 12 (d) 24
  26. 26.What comes next? 13, 21, 29, 37, 45, ? (a) 54 (b) 61 (c) 52 (d) 53
  27. 27.What comes next? 9, 13, 18, 24, 31, ? (a) 40 (b) 39 (c) 38 (d) 41
  28. 28.What comes next? 9, 12, 16, 21, 27, ? (a) 36 (b) 34 (c) 33 (d) 35
  29. 29.What comes next? 11, 12, 14, 17, 21, ? (a) 27 (b) 25 (c) 26 (d) 28
  30. 30.What comes next? 9, 11, 14, 18, 23, ? (a) 28 (b) 31 (c) 29 (d) 30
  31. 31.What comes next? 15, 20, 25, 30, 35, ? (a) 45 (b) 40 (c) 41 (d) 39
  32. 32.What comes next? 53, 44, 35, 26, 17, ? (a) 10 (b) 8 (c) 7 (d) 9
  33. 33.What comes next? 3, 7, 4, 8, 5, 9, ? (a) 12 (b) 13 (c) 5 (d) 6
  34. 34.What comes next? 15, 19, 23, 27, 31, ? (a) 36 (b) 35 (c) 39 (d) 34
  35. 35.What comes next? 9, 10, 12, 15, 19, ? (a) 25 (b) 24 (c) 23 (d) 26
  36. 36.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 72 (d) 96
  37. 37.What comes next? 4, 8, 12, 16, 20, ? (a) 24 (b) 28 (c) 23 (d) 25
  38. 38.What comes next? 6, 13, 20, 27, 34, ? (a) 40 (b) 42 (c) 48 (d) 41
  39. 39.What comes next? 5, 9, 14, 20, 27, ? (a) 35 (b) 34 (c) 37 (d) 36
  40. 40.What comes next? 25, 30, 35, 40, 45, ? (a) 49 (b) 50 (c) 51 (d) 55

Answer key

  1. 42
  2. 64
  3. 243
  4. 34
  5. 25
  6. 7
  7. 16
  8. 19
  9. 31
  10. 21
  11. 38
  12. 33
  13. 7
  14. 13
  15. 160
  16. 2
  17. 40
  18. 128
  19. 29
  20. 89
  21. 81
  22. 49
  23. 30
  24. 32
  25. 13
  26. 53
  27. 39
  28. 34
  29. 26
  30. 29
  31. 40
  32. 8
  33. 6
  34. 35
  35. 24
  36. 96
  37. 24
  38. 41
  39. 35
  40. 50

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