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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 119 · 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, 7, 9, 12, 16, ? (a) 20 (b) 23 (c) 21 (d) 22
  2. 2.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 200 (c) 120 (d) 161
  3. 3.What comes next? 13, 20, 27, 34, 41, ? (a) 55 (b) 49 (c) 47 (d) 48
  4. 4.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 10 (b) 13 (c) 11 (d) 15
  5. 5.What comes next? 37, 31, 25, 19, 13, ? (a) 6 (b) 8 (c) 7 (d) 1
  6. 6.What comes next? 21, 32, 43, 54, 65, ? (a) 76 (b) 77 (c) 87 (d) 75
  7. 7.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 17 (b) 13 (c) 15 (d) 12
  8. 8.What comes next? 7, 13, 9, 15, 11, 17, ? (a) 13 (b) 21 (c) 12 (d) 23
  9. 9.What comes next? 9, 14, 19, 24, 29, ? (a) 35 (b) 39 (c) 33 (d) 34
  10. 10.What comes next? 5, 9, 8, 12, 11, 15, ? (a) 14 (b) 13 (c) 19 (d) 16
  11. 11.What comes next? 28, 37, 46, 55, 64, ? (a) 72 (b) 82 (c) 74 (d) 73
  12. 12.What comes next? 12, 15, 14, 17, 16, 19, ? (a) 18 (b) 17 (c) 22 (d) 20
  13. 13.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 31 (c) 29 (d) 28
  14. 14.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 72 (d) 45
  15. 15.What comes next? 49, 40, 31, 22, 13, ? (a) 5 (b) 6 (c) 4 (d) 3
  16. 16.What comes next? 16, 23, 21, 28, 26, 33, ? (a) 35 (b) 30 (c) 40 (d) 31
  17. 17.What comes next? 41, 34, 27, 20, 13, ? (a) 5 (b) 7 (c) 8 (d) 6
  18. 18.What comes next? 9, 13, 11, 15, 13, 17, ? (a) 14 (b) 21 (c) 19 (d) 15
  19. 19.What comes next? 22, 34, 46, 58, 70, ? (a) 83 (b) 94 (c) 81 (d) 82
  20. 20.What comes next? 1, 10, 6, 15, 11, 20, ? (a) 29 (b) 24 (c) 16 (d) 15
  21. 21.What comes next? 12, 14, 17, 21, 26, ? (a) 34 (b) 31 (c) 32 (d) 33
  22. 22.What comes next? 18, 20, 23, 27, 32, ? (a) 40 (b) 37 (c) 38 (d) 39
  23. 23.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 240 (d) 144
  24. 24.What comes next? 1, 3, 6, 10, 15, ? (a) 22 (b) 20 (c) 21 (d) 23
  25. 25.What comes next? 57, 50, 43, 36, 29, ? (a) 22 (b) 21 (c) 23 (d) 15
  26. 26.What comes next? 52, 43, 34, 25, 16, ? (a) 6 (b) 8 (c) 9 (d) 7
  27. 27.What comes next? 23, 27, 31, 35, 39, ? (a) 47 (b) 42 (c) 43 (d) 44
  28. 28.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 28 (c) 29 (d) 27
  29. 29.What comes next? 16, 19, 18, 21, 20, 23, ? (a) 22 (b) 24 (c) 26 (d) 21
  30. 30.What comes next? 21, 17, 13, 9, 5, ? (a) 3 (b) 2 (c) 1 (d) 4
  31. 31.What comes next? 13, 18, 16, 21, 19, 24, ? (a) 26 (b) 21 (c) 22 (d) 29
  32. 32.What comes next? 9, 14, 13, 18, 17, 22, ? (a) 21 (b) 23 (c) 20 (d) 27
  33. 33.What comes next? 15, 16, 18, 21, 25, ? (a) 32 (b) 29 (c) 31 (d) 30
  34. 34.What comes next? 41, 35, 29, 23, 17, ? (a) 12 (b) 10 (c) 5 (d) 11
  35. 35.What comes next? 6, 14, 9, 17, 12, 20, ? (a) 15 (b) 25 (c) 14 (d) 28
  36. 36.What comes next? 14, 22, 17, 25, 20, 28, ? (a) 22 (b) 33 (c) 23 (d) 36
  37. 37.What comes next? 14, 19, 24, 29, 34, ? (a) 38 (b) 40 (c) 39 (d) 44
  38. 38.What comes next? 70, 61, 52, 43, 34, ? (a) 24 (b) 16 (c) 26 (d) 25
  39. 39.What comes next? 16, 19, 23, 28, 34, ? (a) 41 (b) 43 (c) 42 (d) 40
  40. 40.What comes next? 27, 23, 19, 15, 11, ? (a) 8 (b) 6 (c) 7 (d) 3

Answer key

  1. 21
  2. 160
  3. 48
  4. 11
  5. 7
  6. 76
  7. 13
  8. 13
  9. 34
  10. 14
  11. 73
  12. 18
  13. 29
  14. 81
  15. 4
  16. 31
  17. 6
  18. 15
  19. 82
  20. 16
  21. 32
  22. 38
  23. 192
  24. 21
  25. 22
  26. 7
  27. 43
  28. 28
  29. 22
  30. 1
  31. 22
  32. 21
  33. 30
  34. 11
  35. 15
  36. 23
  37. 39
  38. 25
  39. 41
  40. 7

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