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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 144 · 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? 53, 47, 41, 35, 29, ? (a) 24 (b) 23 (c) 17 (d) 22
  2. 2.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 120 (d) 97
  3. 3.What comes next? 20, 22, 25, 29, 34, ? (a) 39 (b) 41 (c) 40 (d) 42
  4. 4.What comes next? 16, 17, 19, 22, 26, ? (a) 30 (b) 31 (c) 33 (d) 32
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 162 (d) 90
  6. 6.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 135 (c) 270 (d) 243
  7. 7.What comes next? 5, 9, 14, 20, 27, ? (a) 34 (b) 37 (c) 35 (d) 36
  8. 8.What comes next? 22, 19, 16, 13, 10, ? (a) 7 (b) 6 (c) 4 (d) 8
  9. 9.What comes next? 1, 5, 4, 8, 7, 11, ? (a) 10 (b) 9 (c) 15 (d) 12
  10. 10.What comes next? 39, 32, 25, 18, 11, ? (a) 3 (b) 5 (c) 4 (d) 6
  11. 11.What comes next? 17, 25, 18, 26, 19, 27, ? (a) 34 (b) 35 (c) 20 (d) 19
  12. 12.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 160 (d) 120
  13. 13.What comes next? 13, 25, 37, 49, 61, ? (a) 73 (b) 72 (c) 74 (d) 85
  14. 14.What comes next? 28, 26, 24, 22, 20, ? (a) 18 (b) 19 (c) 16 (d) 17
  15. 15.What comes next? 11, 20, 15, 24, 19, 28, ? (a) 33 (b) 22 (c) 37 (d) 23
  16. 16.What comes next? 4, 9, 14, 19, 24, ? (a) 29 (b) 30 (c) 34 (d) 28
  17. 17.What comes next? 8, 11, 15, 20, 26, ? (a) 32 (b) 35 (c) 34 (d) 33
  18. 18.What comes next? 1, 6, 5, 10, 9, 14, ? (a) 19 (b) 13 (c) 15 (d) 12
  19. 19.What comes next? 7, 15, 11, 19, 15, 23, ? (a) 18 (b) 27 (c) 31 (d) 19
  20. 20.What comes next? 5, 8, 12, 17, 23, ? (a) 29 (b) 31 (c) 30 (d) 32
  21. 21.What comes next? 2, 3, 5, 8, 12, ? (a) 18 (b) 16 (c) 19 (d) 17
  22. 22.What comes next? 4, 11, 10, 17, 16, 23, ? (a) 30 (b) 24 (c) 21 (d) 22
  23. 23.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 80 (d) 64
  24. 24.What comes next? 9, 12, 11, 14, 13, 16, ? (a) 14 (b) 15 (c) 19 (d) 17
  25. 25.What comes next? 23, 30, 37, 44, 51, ? (a) 58 (b) 57 (c) 65 (d) 59
  26. 26.What comes next? 48, 39, 30, 21, 12, ? (a) 4 (b) 5 (c) 3 (d) 2
  27. 27.What comes next? 19, 24, 29, 34, 39, ? (a) 49 (b) 43 (c) 45 (d) 44
  28. 28.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 81 (d) 45
  29. 29.What comes next? 8, 17, 26, 35, 44, ? (a) 54 (b) 62 (c) 52 (d) 53
  30. 30.What comes next? 14, 21, 15, 22, 16, 23, ? (a) 16 (b) 30 (c) 29 (d) 17
  31. 31.What comes next? 4, 10, 16, 22, 28, ? (a) 40 (b) 33 (c) 34 (d) 35
  32. 32.What comes next? 13, 21, 17, 25, 21, 29, ? (a) 25 (b) 33 (c) 24 (d) 37
  33. 33.What comes next? 27, 22, 17, 12, 7, ? (a) 1 (b) 4 (c) 2 (d) 3
  34. 34.What comes next? 43, 35, 27, 19, 11, ? (a) 5 (b) 3 (c) 2 (d) 4
  35. 35.What comes next? 19, 20, 22, 25, 29, ? (a) 36 (b) 34 (c) 35 (d) 33
  36. 36.What comes next? 16, 20, 25, 31, 38, ? (a) 46 (b) 48 (c) 47 (d) 45
  37. 37.What comes next? 19, 21, 24, 28, 33, ? (a) 41 (b) 40 (c) 38 (d) 39
  38. 38.What comes next? 4, 14, 24, 34, 44, ? (a) 55 (b) 64 (c) 53 (d) 54
  39. 39.What comes next? 56, 47, 38, 29, 20, ? (a) 2 (b) 12 (c) 10 (d) 11
  40. 40.What comes next? 18, 27, 20, 29, 22, 31, ? (a) 40 (b) 24 (c) 23 (d) 38

Answer key

  1. 23
  2. 96
  3. 40
  4. 31
  5. 162
  6. 243
  7. 35
  8. 7
  9. 10
  10. 4
  11. 20
  12. 160
  13. 73
  14. 18
  15. 23
  16. 29
  17. 33
  18. 13
  19. 19
  20. 30
  21. 17
  22. 22
  23. 64
  24. 15
  25. 58
  26. 3
  27. 44
  28. 81
  29. 53
  30. 17
  31. 34
  32. 25
  33. 2
  34. 3
  35. 34
  36. 46
  37. 39
  38. 54
  39. 11
  40. 24

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