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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 89 · 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? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 193 (d) 192
  2. 2.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 160 (c) 96 (d) 129
  3. 3.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 10 (b) 8 (c) 12 (d) 7
  4. 4.What comes next? 16, 13, 10, 7, 4, ? (a) 1 (b) 3 (c) 4 (d) 2
  5. 5.What comes next? 52, 47, 42, 37, 32, ? (a) 22 (b) 26 (c) 28 (d) 27
  6. 6.What comes next? 38, 34, 30, 26, 22, ? (a) 18 (b) 19 (c) 17 (d) 14
  7. 7.What comes next? 1, 6, 3, 8, 5, 10, ? (a) 6 (b) 15 (c) 7 (d) 13
  8. 8.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 29 (b) 27 (c) 25 (d) 24
  9. 9.What comes next? 64, 55, 46, 37, 28, ? (a) 18 (b) 20 (c) 19 (d) 10
  10. 10.What comes next? 57, 50, 43, 36, 29, ? (a) 15 (b) 21 (c) 23 (d) 22
  11. 11.What comes next? 20, 29, 38, 47, 56, ? (a) 65 (b) 66 (c) 64 (d) 74
  12. 12.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 48 (d) 64
  13. 13.What comes next? 21, 30, 39, 48, 57, ? (a) 66 (b) 75 (c) 67 (d) 65
  14. 14.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 162 (d) 90
  15. 15.What comes next? 62, 54, 46, 38, 30, ? (a) 23 (b) 14 (c) 21 (d) 22
  16. 16.What comes next? 20, 23, 27, 32, 38, ? (a) 45 (b) 44 (c) 47 (d) 46
  17. 17.What comes next? 48, 39, 30, 21, 12, ? (a) 5 (b) 2 (c) 3 (d) 4
  18. 18.What comes next? 17, 22, 27, 32, 37, ? (a) 42 (b) 41 (c) 47 (d) 43
  19. 19.What comes next? 5, 13, 9, 17, 13, 21, ? (a) 17 (b) 25 (c) 16 (d) 29
  20. 20.What comes next? 6, 12, 7, 13, 8, 14, ? (a) 9 (b) 20 (c) 19 (d) 8
  21. 21.What comes next? 19, 23, 28, 34, 41, ? (a) 48 (b) 50 (c) 49 (d) 51
  22. 22.What comes next? 14, 18, 22, 26, 30, ? (a) 34 (b) 38 (c) 33 (d) 35
  23. 23.What comes next? 58, 49, 40, 31, 22, ? (a) 14 (b) 12 (c) 4 (d) 13
  24. 24.What comes next? 4, 11, 10, 17, 16, 23, ? (a) 22 (b) 24 (c) 30 (d) 21
  25. 25.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  26. 26.What comes next? 6, 17, 28, 39, 50, ? (a) 60 (b) 62 (c) 61 (d) 72
  27. 27.What comes next? 18, 28, 38, 48, 58, ? (a) 69 (b) 78 (c) 67 (d) 68
  28. 28.What comes next? 10, 22, 34, 46, 58, ? (a) 70 (b) 71 (c) 69 (d) 82
  29. 29.What comes next? 15, 23, 31, 39, 47, ? (a) 56 (b) 54 (c) 55 (d) 63
  30. 30.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 96 (d) 97
  31. 31.What comes next? 14, 20, 26, 32, 38, ? (a) 50 (b) 45 (c) 44 (d) 43
  32. 32.What comes next? 9, 13, 12, 16, 15, 19, ? (a) 23 (b) 18 (c) 17 (d) 20
  33. 33.What comes next? 53, 47, 41, 35, 29, ? (a) 23 (b) 22 (c) 17 (d) 24
  34. 34.What comes next? 12, 10, 8, 6, 4, ? (a) 1 (b) 3 (c) 4 (d) 2
  35. 35.What comes next? 6, 10, 15, 21, 28, ? (a) 35 (b) 37 (c) 38 (d) 36
  36. 36.What comes next? 7, 10, 14, 19, 25, ? (a) 33 (b) 32 (c) 31 (d) 34
  37. 37.What comes next? 29, 41, 53, 65, 77, ? (a) 90 (b) 101 (c) 89 (d) 88
  38. 38.What comes next? 60, 52, 44, 36, 28, ? (a) 21 (b) 12 (c) 19 (d) 20
  39. 39.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 161 (d) 160
  40. 40.What comes next? 4, 7, 11, 16, 22, ? (a) 29 (b) 30 (c) 28 (d) 31

Answer key

  1. 192
  2. 128
  3. 8
  4. 1
  5. 27
  6. 18
  7. 7
  8. 25
  9. 19
  10. 22
  11. 65
  12. 64
  13. 66
  14. 162
  15. 22
  16. 45
  17. 3
  18. 42
  19. 17
  20. 9
  21. 49
  22. 34
  23. 13
  24. 22
  25. 81
  26. 61
  27. 68
  28. 70
  29. 55
  30. 96
  31. 44
  32. 18
  33. 23
  34. 2
  35. 36
  36. 32
  37. 89
  38. 20
  39. 160
  40. 29

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