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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 471 · 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? 6, 8, 10, 12, 14, ? (a) 16 (b) 15 (c) 17 (d) 18
  2. 2.What comes next? 3, 8, 4, 9, 5, 10, ? (a) 15 (b) 5 (c) 6 (d) 14
  3. 3.What comes next? 15, 20, 16, 21, 17, 22, ? (a) 18 (b) 26 (c) 17 (d) 27
  4. 4.What comes next? 66, 57, 48, 39, 30, ? (a) 22 (b) 12 (c) 20 (d) 21
  5. 5.What comes next? 12, 17, 22, 27, 32, ? (a) 38 (b) 37 (c) 42 (d) 36
  6. 6.What comes next? 15, 26, 37, 48, 59, ? (a) 81 (b) 71 (c) 70 (d) 69
  7. 7.What comes next? 15, 22, 21, 28, 27, 34, ? (a) 33 (b) 35 (c) 41 (d) 32
  8. 8.What comes next? 30, 39, 48, 57, 66, ? (a) 74 (b) 76 (c) 75 (d) 84
  9. 9.What comes next? 57, 48, 39, 30, 21, ? (a) 12 (b) 3 (c) 11 (d) 13
  10. 10.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 32 (d) 40
  11. 11.What comes next? 12, 19, 17, 24, 22, 29, ? (a) 36 (b) 26 (c) 27 (d) 31
  12. 12.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 135 (d) 216
  13. 13.What comes next? 6, 10, 9, 13, 12, 16, ? (a) 20 (b) 15 (c) 14 (d) 17
  14. 14.What comes next? 40, 33, 26, 19, 12, ? (a) 6 (b) 4 (c) 7 (d) 5
  15. 15.What comes next? 15, 13, 11, 9, 7, ? (a) 4 (b) 3 (c) 5 (d) 6
  16. 16.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 162 (d) 180
  17. 17.What comes next? 17, 18, 20, 23, 27, ? (a) 31 (b) 34 (c) 33 (d) 32
  18. 18.What comes next? 3, 5, 8, 12, 17, ? (a) 24 (b) 22 (c) 23 (d) 25
  19. 19.What comes next? 59, 51, 43, 35, 27, ? (a) 18 (b) 11 (c) 20 (d) 19
  20. 20.What comes next? 53, 44, 35, 26, 17, ? (a) 8 (b) 7 (c) 9 (d) 10
  21. 21.What comes next? 11, 9, 7, 5, 3, ? (a) 3 (b) 4 (c) 1 (d) 2
  22. 22.What comes next? 15, 18, 21, 24, 27, ? (a) 33 (b) 29 (c) 31 (d) 30
  23. 23.What comes next? 15, 16, 18, 21, 25, ? (a) 30 (b) 32 (c) 31 (d) 29
  24. 24.What comes next? 1, 6, 5, 10, 9, 14, ? (a) 13 (b) 15 (c) 12 (d) 19
  25. 25.What comes next? 16, 23, 21, 28, 26, 33, ? (a) 40 (b) 31 (c) 35 (d) 30
  26. 26.What comes next? 13, 21, 18, 26, 23, 31, ? (a) 34 (b) 27 (c) 39 (d) 28
  27. 27.What comes next? 12, 18, 24, 30, 36, ? (a) 48 (b) 41 (c) 42 (d) 43
  28. 28.What comes next? 24, 20, 16, 12, 8, ? (a) 3 (b) 6 (c) 5 (d) 4
  29. 29.What comes next? 50, 45, 40, 35, 30, ? (a) 24 (b) 25 (c) 20 (d) 26
  30. 30.What comes next? 11, 15, 20, 26, 33, ? (a) 40 (b) 43 (c) 41 (d) 42
  31. 31.What comes next? 11, 20, 29, 38, 47, ? (a) 65 (b) 55 (c) 57 (d) 56
  32. 32.What comes next? 4, 7, 10, 13, 16, ? (a) 22 (b) 20 (c) 18 (d) 19
  33. 33.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 160 (d) 128
  34. 34.What comes next? 3, 6, 9, 12, 15, ? (a) 17 (b) 21 (c) 19 (d) 18
  35. 35.What comes next? 4, 7, 5, 8, 6, 9, ? (a) 6 (b) 11 (c) 7 (d) 12
  36. 36.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 64 (c) 80 (d) 65
  37. 37.What comes next? 16, 17, 19, 22, 26, ? (a) 30 (b) 32 (c) 33 (d) 31
  38. 38.What comes next? 12, 21, 30, 39, 48, ? (a) 66 (b) 58 (c) 56 (d) 57
  39. 39.What comes next? 19, 20, 22, 25, 29, ? (a) 35 (b) 34 (c) 33 (d) 36
  40. 40.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 160 (c) 161 (d) 200

Answer key

  1. 16
  2. 6
  3. 18
  4. 21
  5. 37
  6. 70
  7. 33
  8. 75
  9. 12
  10. 32
  11. 27
  12. 243
  13. 15
  14. 5
  15. 5
  16. 162
  17. 32
  18. 23
  19. 19
  20. 8
  21. 1
  22. 30
  23. 30
  24. 13
  25. 31
  26. 28
  27. 42
  28. 4
  29. 25
  30. 41
  31. 56
  32. 19
  33. 128
  34. 18
  35. 7
  36. 64
  37. 31
  38. 57
  39. 34
  40. 160

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