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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 68 · 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? 11, 15, 14, 18, 17, 21, ? (a) 22 (b) 19 (c) 25 (d) 20
  2. 2.What comes next? 20, 25, 23, 28, 26, 31, ? (a) 29 (b) 36 (c) 33 (d) 28
  3. 3.What comes next? 14, 26, 38, 50, 62, ? (a) 86 (b) 74 (c) 75 (d) 73
  4. 4.What comes next? 10, 15, 20, 25, 30, ? (a) 40 (b) 34 (c) 36 (d) 35
  5. 5.What comes next? 37, 33, 29, 25, 21, ? (a) 13 (b) 16 (c) 18 (d) 17
  6. 6.What comes next? 10, 11, 13, 16, 20, ? (a) 24 (b) 26 (c) 27 (d) 25
  7. 7.What comes next? 2, 6, 5, 9, 8, 12, ? (a) 13 (b) 16 (c) 11 (d) 10
  8. 8.What comes next? 51, 42, 33, 24, 15, ? (a) 8 (b) 6 (c) 7 (d) 5
  9. 9.What comes next? 16, 14, 12, 10, 8, ? (a) 5 (b) 7 (c) 4 (d) 6
  10. 10.What comes next? 7, 11, 16, 22, 29, ? (a) 36 (b) 38 (c) 37 (d) 39
  11. 11.What comes next? 1, 5, 10, 16, 23, ? (a) 30 (b) 33 (c) 32 (d) 31
  12. 12.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 32 (d) 33
  13. 13.What comes next? 6, 9, 13, 18, 24, ? (a) 32 (b) 31 (c) 33 (d) 30
  14. 14.What comes next? 5, 11, 8, 14, 11, 17, ? (a) 14 (b) 20 (c) 23 (d) 13
  15. 15.What comes next? 16, 17, 19, 22, 26, ? (a) 33 (b) 31 (c) 32 (d) 30
  16. 16.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 90 (d) 72
  17. 17.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 144 (c) 193 (d) 240
  18. 18.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 161 (d) 160
  19. 19.What comes next? 48, 40, 32, 24, 16, ? (a) 10 (b) 7 (c) 9 (d) 8
  20. 20.What comes next? 32, 29, 26, 23, 20, ? (a) 16 (b) 18 (c) 14 (d) 17
  21. 21.What comes next? 10, 18, 26, 34, 42, ? (a) 49 (b) 58 (c) 50 (d) 51
  22. 22.What comes next? 14, 18, 15, 19, 16, 20, ? (a) 16 (b) 23 (c) 24 (d) 17
  23. 23.What comes next? 27, 22, 17, 12, 7, ? (a) 1 (b) 2 (c) 3 (d) 4
  24. 24.What comes next? 10, 12, 15, 19, 24, ? (a) 32 (b) 29 (c) 30 (d) 31
  25. 25.What comes next? 21, 29, 37, 45, 53, ? (a) 61 (b) 62 (c) 60 (d) 69
  26. 26.What comes next? 32, 30, 28, 26, 24, ? (a) 20 (b) 23 (c) 21 (d) 22
  27. 27.What comes next? 8, 12, 17, 23, 30, ? (a) 39 (b) 37 (c) 40 (d) 38
  28. 28.What comes next? 8, 11, 15, 20, 26, ? (a) 32 (b) 34 (c) 35 (d) 33
  29. 29.What comes next? 9, 18, 27, 36, 45, ? (a) 63 (b) 54 (c) 53 (d) 55
  30. 30.What comes next? 25, 29, 33, 37, 41, ? (a) 45 (b) 46 (c) 49 (d) 44
  31. 31.What comes next? 20, 29, 38, 47, 56, ? (a) 64 (b) 66 (c) 74 (d) 65
  32. 32.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 180 (d) 162
  33. 33.What comes next? 14, 15, 17, 20, 24, ? (a) 28 (b) 30 (c) 31 (d) 29
  34. 34.What comes next? 19, 21, 24, 28, 33, ? (a) 38 (b) 39 (c) 40 (d) 41
  35. 35.What comes next? 27, 23, 19, 15, 11, ? (a) 8 (b) 7 (c) 6 (d) 3
  36. 36.What comes next? 49, 43, 37, 31, 25, ? (a) 20 (b) 19 (c) 13 (d) 18
  37. 37.What comes next? 5, 13, 8, 16, 11, 19, ? (a) 24 (b) 13 (c) 27 (d) 14
  38. 38.What comes next? 20, 24, 29, 35, 42, ? (a) 51 (b) 52 (c) 49 (d) 50
  39. 39.What comes next? 20, 26, 32, 38, 44, ? (a) 49 (b) 50 (c) 51 (d) 56
  40. 40.What comes next? 60, 53, 46, 39, 32, ? (a) 24 (b) 18 (c) 25 (d) 26

Answer key

  1. 20
  2. 29
  3. 74
  4. 35
  5. 17
  6. 25
  7. 11
  8. 6
  9. 6
  10. 37
  11. 31
  12. 32
  13. 31
  14. 14
  15. 31
  16. 81
  17. 192
  18. 160
  19. 8
  20. 17
  21. 50
  22. 17
  23. 2
  24. 30
  25. 61
  26. 22
  27. 38
  28. 33
  29. 54
  30. 45
  31. 65
  32. 162
  33. 29
  34. 39
  35. 7
  36. 19
  37. 14
  38. 50
  39. 50
  40. 25

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