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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 215 · 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? 18, 24, 19, 25, 20, 26, ? (a) 32 (b) 20 (c) 21 (d) 31
  2. 2.What comes next? 9, 10, 12, 15, 19, ? (a) 23 (b) 25 (c) 26 (d) 24
  3. 3.What comes next? 11, 12, 14, 17, 21, ? (a) 25 (b) 26 (c) 28 (d) 27
  4. 4.What comes next? 40, 33, 26, 19, 12, ? (a) 7 (b) 5 (c) 6 (d) 4
  5. 5.What comes next? 10, 14, 18, 22, 26, ? (a) 34 (b) 29 (c) 31 (d) 30
  6. 6.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 10 (b) 11 (c) 4 (d) 3
  7. 7.What comes next? 13, 17, 22, 28, 35, ? (a) 42 (b) 44 (c) 43 (d) 45
  8. 8.What comes next? 11, 20, 18, 27, 25, 34, ? (a) 31 (b) 36 (c) 43 (d) 32
  9. 9.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 45 (d) 90
  10. 10.What comes next? 28, 24, 20, 16, 12, ? (a) 8 (b) 9 (c) 7 (d) 4
  11. 11.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 128 (d) 129
  12. 12.What comes next? 14, 18, 23, 29, 36, ? (a) 45 (b) 46 (c) 44 (d) 43
  13. 13.What comes next? 26, 22, 18, 14, 10, ? (a) 7 (b) 6 (c) 2 (d) 5
  14. 14.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 240 (c) 193 (d) 144
  15. 15.What comes next? 55, 49, 43, 37, 31, ? (a) 19 (b) 26 (c) 24 (d) 25
  16. 16.What comes next? 5, 10, 15, 20, 25, ? (a) 31 (b) 35 (c) 29 (d) 30
  17. 17.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  18. 18.What comes next? 4, 5, 7, 10, 14, ? (a) 19 (b) 18 (c) 21 (d) 20
  19. 19.What comes next? 22, 28, 34, 40, 46, ? (a) 53 (b) 58 (c) 52 (d) 51
  20. 20.What comes next? 17, 21, 25, 29, 33, ? (a) 41 (b) 36 (c) 38 (d) 37
  21. 21.What comes next? 5, 13, 9, 17, 13, 21, ? (a) 16 (b) 25 (c) 29 (d) 17
  22. 22.What comes next? 17, 23, 18, 24, 19, 25, ? (a) 19 (b) 30 (c) 31 (d) 20
  23. 23.What comes next? 18, 20, 22, 24, 26, ? (a) 27 (b) 28 (c) 29 (d) 30
  24. 24.What comes next? 39, 34, 29, 24, 19, ? (a) 9 (b) 13 (c) 15 (d) 14
  25. 25.What comes next? 21, 17, 13, 9, 5, ? (a) 2 (b) 3 (c) 4 (d) 1
  26. 26.What comes next? 3, 8, 13, 18, 23, ? (a) 29 (b) 28 (c) 33 (d) 27
  27. 27.What comes next? 32, 27, 22, 17, 12, ? (a) 8 (b) 2 (c) 6 (d) 7
  28. 28.What comes next? 18, 26, 24, 32, 30, 38, ? (a) 35 (b) 36 (c) 40 (d) 46
  29. 29.What comes next? 23, 19, 15, 11, 7, ? (a) 2 (b) 3 (c) 4 (d) 5
  30. 30.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 90 (d) 180
  31. 31.What comes next? 23, 28, 33, 38, 43, ? (a) 53 (b) 48 (c) 49 (d) 47
  32. 32.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 12 (b) 8 (c) 10 (d) 7
  33. 33.What comes next? 17, 24, 19, 26, 21, 28, ? (a) 22 (b) 35 (c) 23 (d) 33
  34. 34.What comes next? 12, 15, 14, 17, 16, 19, ? (a) 17 (b) 18 (c) 20 (d) 22
  35. 35.What comes next? 1, 6, 3, 8, 5, 10, ? (a) 7 (b) 15 (c) 6 (d) 13
  36. 36.What comes next? 18, 22, 27, 33, 40, ? (a) 47 (b) 50 (c) 49 (d) 48
  37. 37.What comes next? 19, 31, 43, 55, 67, ? (a) 91 (b) 78 (c) 79 (d) 80
  38. 38.What comes next? 5, 14, 12, 21, 19, 28, ? (a) 30 (b) 37 (c) 26 (d) 25
  39. 39.What comes next? 5, 8, 12, 17, 23, ? (a) 30 (b) 31 (c) 32 (d) 29
  40. 40.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 40 (d) 24

Answer key

  1. 21
  2. 24
  3. 26
  4. 5
  5. 30
  6. 4
  7. 43
  8. 32
  9. 81
  10. 8
  11. 128
  12. 44
  13. 6
  14. 192
  15. 25
  16. 30
  17. 243
  18. 19
  19. 52
  20. 37
  21. 17
  22. 20
  23. 28
  24. 14
  25. 1
  26. 28
  27. 7
  28. 36
  29. 3
  30. 162
  31. 48
  32. 8
  33. 23
  34. 18
  35. 7
  36. 48
  37. 79
  38. 26
  39. 30
  40. 32

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