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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 413 · 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) 41 (b) 42 (c) 43 (d) 44
  2. 2.What comes next? 12, 14, 16, 18, 20, ? (a) 23 (b) 24 (c) 22 (d) 21
  3. 3.What comes next? 1, 8, 2, 9, 3, 10, ? (a) 17 (b) 4 (c) 3 (d) 16
  4. 4.What comes next? 8, 11, 9, 12, 10, 13, ? (a) 15 (b) 11 (c) 10 (d) 16
  5. 5.What comes next? 16, 13, 10, 7, 4, ? (a) 4 (b) 2 (c) 3 (d) 1
  6. 6.What comes next? 10, 15, 20, 25, 30, ? (a) 40 (b) 36 (c) 34 (d) 35
  7. 7.What comes next? 7, 10, 14, 19, 25, ? (a) 32 (b) 34 (c) 31 (d) 33
  8. 8.What comes next? 10, 14, 19, 25, 32, ? (a) 41 (b) 40 (c) 39 (d) 42
  9. 9.What comes next? 41, 38, 35, 32, 29, ? (a) 26 (b) 25 (c) 27 (d) 23
  10. 10.What comes next? 46, 37, 28, 19, 10, ? (a) 3 (b) 1 (c) 4 (d) 2
  11. 11.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 180 (d) 162
  12. 12.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 18 (b) 21 (c) 19 (d) 23
  13. 13.What comes next? 56, 49, 42, 35, 28, ? (a) 14 (b) 22 (c) 21 (d) 20
  14. 14.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 33 (c) 24 (d) 32
  15. 15.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 270 (d) 135
  16. 16.What comes next? 61, 53, 45, 37, 29, ? (a) 22 (b) 13 (c) 21 (d) 20
  17. 17.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 45 (d) 72
  18. 18.What comes next? 20, 22, 25, 29, 34, ? (a) 41 (b) 40 (c) 39 (d) 42
  19. 19.What comes next? 7, 14, 8, 15, 9, 16, ? (a) 23 (b) 9 (c) 10 (d) 22
  20. 20.What comes next? 6, 10, 15, 21, 28, ? (a) 36 (b) 37 (c) 38 (d) 35
  21. 21.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 16 (c) 17 (d) 18
  22. 22.What comes next? 8, 16, 9, 17, 10, 18, ? (a) 25 (b) 11 (c) 10 (d) 26
  23. 23.What comes next? 3, 12, 4, 13, 5, 14, ? (a) 22 (b) 23 (c) 5 (d) 6
  24. 24.What comes next? 61, 54, 47, 40, 33, ? (a) 19 (b) 27 (c) 25 (d) 26
  25. 25.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 200 (d) 120
  26. 26.What comes next? 9, 17, 14, 22, 19, 27, ? (a) 24 (b) 30 (c) 23 (d) 35
  27. 27.What comes next? 4, 11, 6, 13, 8, 15, ? (a) 9 (b) 10 (c) 22 (d) 20
  28. 28.What comes next? 48, 39, 30, 21, 12, ? (a) 4 (b) 5 (c) 3 (d) 2
  29. 29.What comes next? 29, 38, 47, 56, 65, ? (a) 83 (b) 73 (c) 75 (d) 74
  30. 30.What comes next? 1, 3, 6, 10, 15, ? (a) 20 (b) 23 (c) 22 (d) 21
  31. 31.What comes next? 9, 10, 12, 15, 19, ? (a) 23 (b) 25 (c) 26 (d) 24
  32. 32.What comes next? 10, 12, 15, 19, 24, ? (a) 32 (b) 30 (c) 31 (d) 29
  33. 33.What comes next? 3, 9, 6, 12, 9, 15, ? (a) 11 (b) 18 (c) 12 (d) 21
  34. 34.What comes next? 8, 9, 11, 14, 18, ? (a) 24 (b) 25 (c) 22 (d) 23
  35. 35.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 240 (c) 144 (d) 193
  36. 36.What comes next? 13, 15, 17, 19, 21, ? (a) 25 (b) 23 (c) 22 (d) 24
  37. 37.What comes next? 29, 39, 49, 59, 69, ? (a) 80 (b) 78 (c) 89 (d) 79
  38. 38.What comes next? 6, 8, 10, 12, 14, ? (a) 17 (b) 18 (c) 15 (d) 16
  39. 39.What comes next? 7, 11, 10, 14, 13, 17, ? (a) 16 (b) 21 (c) 18 (d) 15
  40. 40.What comes next? 1, 8, 6, 13, 11, 18, ? (a) 25 (b) 16 (c) 20 (d) 15

Answer key

  1. 42
  2. 22
  3. 4
  4. 11
  5. 1
  6. 35
  7. 32
  8. 40
  9. 26
  10. 1
  11. 162
  12. 19
  13. 21
  14. 32
  15. 243
  16. 21
  17. 81
  18. 40
  19. 10
  20. 36
  21. 17
  22. 11
  23. 6
  24. 26
  25. 160
  26. 24
  27. 10
  28. 3
  29. 74
  30. 21
  31. 24
  32. 30
  33. 12
  34. 23
  35. 192
  36. 23
  37. 79
  38. 16
  39. 16
  40. 16

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