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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 147 · 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? 16, 25, 18, 27, 20, 29, ? (a) 21 (b) 22 (c) 36 (d) 38
  2. 2.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 200 (d) 120
  3. 3.What comes next? 1, 4, 8, 13, 19, ? (a) 25 (b) 26 (c) 27 (d) 28
  4. 4.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 129 (d) 128
  5. 5.What comes next? 62, 55, 48, 41, 34, ? (a) 26 (b) 28 (c) 27 (d) 20
  6. 6.What comes next? 8, 12, 16, 20, 24, ? (a) 32 (b) 28 (c) 27 (d) 29
  7. 7.What comes next? 18, 20, 22, 24, 26, ? (a) 30 (b) 27 (c) 28 (d) 29
  8. 8.What comes next? 15, 17, 20, 24, 29, ? (a) 34 (b) 37 (c) 36 (d) 35
  9. 9.What comes next? 2, 11, 20, 29, 38, ? (a) 56 (b) 48 (c) 47 (d) 46
  10. 10.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 45 (d) 90
  11. 11.What comes next? 63, 56, 49, 42, 35, ? (a) 28 (b) 29 (c) 27 (d) 21
  12. 12.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 39 (c) 41 (d) 40
  13. 13.What comes next? 42, 35, 28, 21, 14, ? (a) 7 (b) 6 (c) 9 (d) 8
  14. 14.What comes next? 9, 14, 13, 18, 17, 22, ? (a) 23 (b) 21 (c) 27 (d) 20
  15. 15.What comes next? 4, 13, 10, 19, 16, 25, ? (a) 28 (b) 22 (c) 34 (d) 21
  16. 16.What comes next? 72, 63, 54, 45, 36, ? (a) 26 (b) 28 (c) 27 (d) 18
  17. 17.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 48 (d) 80
  18. 18.What comes next? 42, 39, 36, 33, 30, ? (a) 27 (b) 24 (c) 28 (d) 26
  19. 19.What comes next? 17, 20, 24, 29, 35, ? (a) 41 (b) 42 (c) 43 (d) 44
  20. 20.What comes next? 51, 44, 37, 30, 23, ? (a) 17 (b) 16 (c) 9 (d) 15
  21. 21.What comes next? 5, 9, 14, 20, 27, ? (a) 34 (b) 35 (c) 37 (d) 36
  22. 22.What comes next? 23, 33, 43, 53, 63, ? (a) 72 (b) 74 (c) 83 (d) 73
  23. 23.What comes next? 7, 11, 15, 19, 23, ? (a) 27 (b) 31 (c) 28 (d) 26
  24. 24.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 96 (d) 72
  25. 25.What comes next? 8, 9, 11, 14, 18, ? (a) 24 (b) 25 (c) 23 (d) 22
  26. 26.What comes next? 49, 42, 35, 28, 21, ? (a) 7 (b) 15 (c) 13 (d) 14
  27. 27.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 243 (d) 216
  28. 28.What comes next? 11, 23, 35, 47, 59, ? (a) 72 (b) 70 (c) 83 (d) 71
  29. 29.What comes next? 57, 51, 45, 39, 33, ? (a) 21 (b) 27 (c) 28 (d) 26
  30. 30.What comes next? 30, 32, 34, 36, 38, ? (a) 41 (b) 42 (c) 40 (d) 39
  31. 31.What comes next? 14, 17, 21, 26, 32, ? (a) 40 (b) 39 (c) 41 (d) 38
  32. 32.What comes next? 28, 24, 20, 16, 12, ? (a) 8 (b) 7 (c) 4 (d) 9
  33. 33.What comes next? 14, 15, 17, 20, 24, ? (a) 31 (b) 30 (c) 28 (d) 29
  34. 34.What comes next? 40, 37, 34, 31, 28, ? (a) 22 (b) 26 (c) 24 (d) 25
  35. 35.What comes next? 11, 13, 15, 17, 19, ? (a) 22 (b) 20 (c) 23 (d) 21
  36. 36.What comes next? 17, 26, 23, 32, 29, 38, ? (a) 47 (b) 41 (c) 34 (d) 35
  37. 37.What comes next? 16, 23, 21, 28, 26, 33, ? (a) 30 (b) 40 (c) 31 (d) 35
  38. 38.What comes next? 17, 24, 31, 38, 45, ? (a) 53 (b) 59 (c) 51 (d) 52
  39. 39.What comes next? 29, 32, 35, 38, 41, ? (a) 47 (b) 43 (c) 45 (d) 44
  40. 40.What comes next? 2, 6, 11, 17, 24, ? (a) 32 (b) 34 (c) 31 (d) 33

Answer key

  1. 22
  2. 160
  3. 26
  4. 128
  5. 27
  6. 28
  7. 28
  8. 35
  9. 47
  10. 81
  11. 28
  12. 39
  13. 7
  14. 21
  15. 22
  16. 27
  17. 64
  18. 27
  19. 42
  20. 16
  21. 35
  22. 73
  23. 27
  24. 96
  25. 23
  26. 14
  27. 243
  28. 71
  29. 27
  30. 40
  31. 39
  32. 8
  33. 29
  34. 25
  35. 21
  36. 35
  37. 31
  38. 52
  39. 44
  40. 32

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