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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 52 · 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? 5, 8, 12, 17, 23, ? (a) 30 (b) 32 (c) 31 (d) 29
  2. 2.What comes next? 9, 17, 15, 23, 21, 29, ? (a) 37 (b) 27 (c) 31 (d) 26
  3. 3.What comes next? 12, 16, 21, 27, 34, ? (a) 42 (b) 43 (c) 44 (d) 41
  4. 4.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 72 (d) 90
  5. 5.What comes next? 42, 39, 36, 33, 30, ? (a) 28 (b) 26 (c) 27 (d) 24
  6. 6.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 90 (d) 162
  7. 7.What comes next? 56, 47, 38, 29, 20, ? (a) 2 (b) 12 (c) 10 (d) 11
  8. 8.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 20 (c) 22 (d) 21
  9. 9.What comes next? 18, 25, 22, 29, 26, 33, ? (a) 30 (b) 40 (c) 36 (d) 29
  10. 10.What comes next? 8, 17, 26, 35, 44, ? (a) 62 (b) 52 (c) 54 (d) 53
  11. 11.What comes next? 22, 24, 26, 28, 30, ? (a) 31 (b) 33 (c) 32 (d) 34
  12. 12.What comes next? 20, 17, 14, 11, 8, ? (a) 4 (b) 5 (c) 2 (d) 6
  13. 13.What comes next? 29, 41, 53, 65, 77, ? (a) 88 (b) 89 (c) 90 (d) 101
  14. 14.What comes next? 2, 11, 5, 14, 8, 17, ? (a) 10 (b) 26 (c) 23 (d) 11
  15. 15.What comes next? 20, 24, 29, 35, 42, ? (a) 50 (b) 51 (c) 52 (d) 49
  16. 16.What comes next? 18, 19, 21, 24, 28, ? (a) 32 (b) 35 (c) 34 (d) 33
  17. 17.What comes next? 50, 41, 32, 23, 14, ? (a) 7 (b) 5 (c) 4 (d) 6
  18. 18.What comes next? 7, 13, 19, 25, 31, ? (a) 43 (b) 38 (c) 36 (d) 37
  19. 19.What comes next? 19, 23, 21, 25, 23, 27, ? (a) 31 (b) 24 (c) 25 (d) 29
  20. 20.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 129 (d) 160
  21. 21.What comes next? 38, 34, 30, 26, 22, ? (a) 17 (b) 14 (c) 18 (d) 19
  22. 22.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 120 (d) 96
  23. 23.What comes next? 48, 44, 40, 36, 32, ? (a) 28 (b) 24 (c) 27 (d) 29
  24. 24.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 161 (d) 160
  25. 25.What comes next? 18, 23, 28, 33, 38, ? (a) 43 (b) 44 (c) 42 (d) 48
  26. 26.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 135 (d) 216
  27. 27.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 80 (d) 64
  28. 28.What comes next? 43, 39, 35, 31, 27, ? (a) 19 (b) 24 (c) 22 (d) 23
  29. 29.What comes next? 23, 19, 15, 11, 7, ? (a) 3 (b) 2 (c) 4 (d) 5
  30. 30.What comes next? 9, 20, 31, 42, 53, ? (a) 64 (b) 63 (c) 75 (d) 65
  31. 31.What comes next? 20, 21, 23, 26, 30, ? (a) 37 (b) 36 (c) 35 (d) 34
  32. 32.What comes next? 66, 58, 50, 42, 34, ? (a) 18 (b) 27 (c) 25 (d) 26
  33. 33.What comes next? 39, 36, 33, 30, 27, ? (a) 21 (b) 24 (c) 25 (d) 23
  34. 34.What comes next? 8, 13, 18, 23, 28, ? (a) 38 (b) 33 (c) 32 (d) 34
  35. 35.What comes next? 20, 24, 23, 27, 26, 30, ? (a) 31 (b) 29 (c) 28 (d) 34
  36. 36.What comes next? 63, 54, 45, 36, 27, ? (a) 17 (b) 19 (c) 9 (d) 18
  37. 37.What comes next? 22, 25, 28, 31, 34, ? (a) 36 (b) 38 (c) 37 (d) 40
  38. 38.What comes next? 50, 42, 34, 26, 18, ? (a) 2 (b) 11 (c) 9 (d) 10
  39. 39.What comes next? 49, 42, 35, 28, 21, ? (a) 13 (b) 15 (c) 7 (d) 14
  40. 40.What comes next? 12, 16, 20, 24, 28, ? (a) 36 (b) 32 (c) 31 (d) 33

Answer key

  1. 30
  2. 27
  3. 42
  4. 81
  5. 27
  6. 162
  7. 11
  8. 20
  9. 30
  10. 53
  11. 32
  12. 5
  13. 89
  14. 11
  15. 50
  16. 33
  17. 5
  18. 37
  19. 25
  20. 128
  21. 18
  22. 96
  23. 28
  24. 160
  25. 43
  26. 243
  27. 64
  28. 23
  29. 3
  30. 64
  31. 35
  32. 26
  33. 24
  34. 33
  35. 29
  36. 18
  37. 37
  38. 10
  39. 14
  40. 32

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