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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 229 · 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? 17, 15, 13, 11, 9, ? (a) 6 (b) 7 (c) 8 (d) 5
  2. 2.What comes next? 13, 11, 9, 7, 5, ? (a) 3 (b) 1 (c) 2 (d) 4
  3. 3.What comes next? 1, 8, 5, 12, 9, 16, ? (a) 23 (b) 19 (c) 13 (d) 12
  4. 4.What comes next? 20, 29, 23, 32, 26, 35, ? (a) 44 (b) 41 (c) 28 (d) 29
  5. 5.What comes next? 4, 13, 10, 19, 16, 25, ? (a) 34 (b) 28 (c) 21 (d) 22
  6. 6.What comes next? 24, 21, 18, 15, 12, ? (a) 9 (b) 10 (c) 6 (d) 8
  7. 7.What comes next? 6, 8, 11, 15, 20, ? (a) 25 (b) 28 (c) 26 (d) 27
  8. 8.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 162 (d) 144
  9. 9.What comes next? 4, 13, 22, 31, 40, ? (a) 58 (b) 49 (c) 48 (d) 50
  10. 10.What comes next? 9, 18, 27, 36, 45, ? (a) 53 (b) 54 (c) 63 (d) 55
  11. 11.What comes next? 18, 26, 34, 42, 50, ? (a) 57 (b) 59 (c) 66 (d) 58
  12. 12.What comes next? 40, 33, 26, 19, 12, ? (a) 5 (b) 7 (c) 6 (d) 4
  13. 13.What comes next? 4, 8, 5, 9, 6, 10, ? (a) 13 (b) 14 (c) 7 (d) 6
  14. 14.What comes next? 18, 22, 26, 30, 34, ? (a) 42 (b) 38 (c) 39 (d) 37
  15. 15.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 32 (c) 24 (d) 33
  16. 16.What comes next? 17, 23, 18, 24, 19, 25, ? (a) 31 (b) 20 (c) 30 (d) 19
  17. 17.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 135 (d) 216
  18. 18.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 129 (d) 128
  19. 19.What comes next? 28, 38, 48, 58, 68, ? (a) 88 (b) 78 (c) 77 (d) 79
  20. 20.What comes next? 2, 9, 16, 23, 30, ? (a) 36 (b) 44 (c) 37 (d) 38
  21. 21.What comes next? 36, 30, 24, 18, 12, ? (a) 7 (b) 6 (c) 8 (d) 5
  22. 22.What comes next? 26, 30, 34, 38, 42, ? (a) 45 (b) 46 (c) 47 (d) 50
  23. 23.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 72 (d) 96
  24. 24.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  25. 25.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 64 (d) 80
  26. 26.What comes next? 48, 40, 32, 24, 16, ? (a) 7 (b) 9 (c) 8 (d) 10
  27. 27.What comes next? 49, 41, 33, 25, 17, ? (a) 1 (b) 9 (c) 10 (d) 8
  28. 28.What comes next? 14, 24, 34, 44, 54, ? (a) 65 (b) 64 (c) 74 (d) 63
  29. 29.What comes next? 7, 14, 10, 17, 13, 20, ? (a) 24 (b) 16 (c) 15 (d) 27
  30. 30.What comes next? 15, 19, 17, 21, 19, 23, ? (a) 25 (b) 21 (c) 20 (d) 27
  31. 31.What comes next? 7, 10, 14, 19, 25, ? (a) 31 (b) 34 (c) 32 (d) 33
  32. 32.What comes next? 24, 30, 36, 42, 48, ? (a) 53 (b) 60 (c) 54 (d) 55
  33. 33.What comes next? 3, 5, 8, 12, 17, ? (a) 25 (b) 22 (c) 24 (d) 23
  34. 34.What comes next? 8, 15, 11, 18, 14, 21, ? (a) 28 (b) 17 (c) 16 (d) 25
  35. 35.What comes next? 56, 48, 40, 32, 24, ? (a) 17 (b) 8 (c) 16 (d) 15
  36. 36.What comes next? 36, 32, 28, 24, 20, ? (a) 16 (b) 17 (c) 15 (d) 12
  37. 37.What comes next? 13, 22, 21, 30, 29, 38, ? (a) 47 (b) 39 (c) 36 (d) 37
  38. 38.What comes next? 37, 30, 23, 16, 9, ? (a) 4 (b) 2 (c) 3 (d) 1
  39. 39.What comes next? 30, 28, 26, 24, 22, ? (a) 19 (b) 20 (c) 18 (d) 21
  40. 40.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 9 (b) 14 (c) 15 (d) 10

Answer key

  1. 7
  2. 3
  3. 13
  4. 29
  5. 22
  6. 9
  7. 26
  8. 162
  9. 49
  10. 54
  11. 58
  12. 5
  13. 7
  14. 38
  15. 32
  16. 20
  17. 243
  18. 128
  19. 78
  20. 37
  21. 6
  22. 46
  23. 96
  24. 81
  25. 64
  26. 8
  27. 9
  28. 64
  29. 16
  30. 21
  31. 32
  32. 54
  33. 23
  34. 17
  35. 16
  36. 16
  37. 37
  38. 2
  39. 20
  40. 10

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