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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 494 · 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? 16, 19, 18, 21, 20, 23, ? (a) 22 (b) 21 (c) 26 (d) 24
  2. 2.What comes next? 50, 43, 36, 29, 22, ? (a) 16 (b) 8 (c) 15 (d) 14
  3. 3.What comes next? 28, 37, 46, 55, 64, ? (a) 82 (b) 74 (c) 72 (d) 73
  4. 4.What comes next? 2, 6, 11, 17, 24, ? (a) 32 (b) 33 (c) 34 (d) 31
  5. 5.What comes next? 17, 18, 20, 23, 27, ? (a) 32 (b) 31 (c) 33 (d) 34
  6. 6.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 9 (b) 3 (c) 8 (d) 4
  7. 7.What comes next? 11, 9, 7, 5, 3, ? (a) 3 (b) 2 (c) 4 (d) 1
  8. 8.What comes next? 12, 15, 19, 24, 30, ? (a) 37 (b) 38 (c) 36 (d) 39
  9. 9.What comes next? 35, 33, 31, 29, 27, ? (a) 23 (b) 25 (c) 26 (d) 24
  10. 10.What comes next? 50, 46, 42, 38, 34, ? (a) 26 (b) 31 (c) 30 (d) 29
  11. 11.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 90 (d) 81
  12. 12.What comes next? 21, 25, 29, 33, 37, ? (a) 41 (b) 42 (c) 40 (d) 45
  13. 13.What comes next? 16, 18, 21, 25, 30, ? (a) 36 (b) 38 (c) 35 (d) 37
  14. 14.What comes next? 15, 13, 11, 9, 7, ? (a) 6 (b) 4 (c) 5 (d) 3
  15. 15.What comes next? 58, 50, 42, 34, 26, ? (a) 17 (b) 18 (c) 10 (d) 19
  16. 16.What comes next? 14, 26, 38, 50, 62, ? (a) 86 (b) 75 (c) 74 (d) 73
  17. 17.What comes next? 46, 42, 38, 34, 30, ? (a) 22 (b) 25 (c) 26 (d) 27
  18. 18.What comes next? 3, 4, 6, 9, 13, ? (a) 20 (b) 19 (c) 17 (d) 18
  19. 19.What comes next? 5, 8, 11, 14, 17, ? (a) 23 (b) 21 (c) 20 (d) 19
  20. 20.What comes next? 19, 20, 22, 25, 29, ? (a) 36 (b) 33 (c) 35 (d) 34
  21. 21.What comes next? 20, 22, 25, 29, 34, ? (a) 39 (b) 42 (c) 40 (d) 41
  22. 22.What comes next? 22, 20, 18, 16, 14, ? (a) 10 (b) 13 (c) 11 (d) 12
  23. 23.What comes next? 11, 21, 31, 41, 51, ? (a) 62 (b) 61 (c) 60 (d) 71
  24. 24.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 128 (d) 96
  25. 25.What comes next? 7, 12, 11, 16, 15, 20, ? (a) 18 (b) 21 (c) 25 (d) 19
  26. 26.What comes next? 27, 24, 21, 18, 15, ? (a) 13 (b) 12 (c) 11 (d) 9
  27. 27.What comes next? 24, 28, 32, 36, 40, ? (a) 43 (b) 48 (c) 45 (d) 44
  28. 28.What comes next? 17, 14, 11, 8, 5, ? (a) 1 (b) 3 (c) 2 (d) 4
  29. 29.What comes next? 22, 32, 42, 52, 62, ? (a) 72 (b) 71 (c) 73 (d) 82
  30. 30.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 14 (b) 12 (c) 10 (d) 9
  31. 31.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 193 (d) 192
  32. 32.What comes next? 21, 33, 45, 57, 69, ? (a) 93 (b) 81 (c) 80 (d) 82
  33. 33.What comes next? 30, 28, 26, 24, 22, ? (a) 19 (b) 21 (c) 20 (d) 18
  34. 34.What comes next? 12, 17, 22, 27, 32, ? (a) 37 (b) 36 (c) 42 (d) 38
  35. 35.What comes next? 6, 13, 12, 19, 18, 25, ? (a) 24 (b) 26 (c) 32 (d) 23
  36. 36.What comes next? 16, 22, 28, 34, 40, ? (a) 46 (b) 47 (c) 45 (d) 52
  37. 37.What comes next? 5, 7, 10, 14, 19, ? (a) 27 (b) 26 (c) 24 (d) 25
  38. 38.What comes next? 59, 51, 43, 35, 27, ? (a) 20 (b) 19 (c) 18 (d) 11
  39. 39.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 120 (c) 96 (d) 72
  40. 40.What comes next? 5, 15, 25, 35, 45, ? (a) 65 (b) 55 (c) 54 (d) 56

Answer key

  1. 22
  2. 15
  3. 73
  4. 32
  5. 32
  6. 4
  7. 1
  8. 37
  9. 25
  10. 30
  11. 81
  12. 41
  13. 36
  14. 5
  15. 18
  16. 74
  17. 26
  18. 18
  19. 20
  20. 34
  21. 40
  22. 12
  23. 61
  24. 128
  25. 19
  26. 12
  27. 44
  28. 2
  29. 72
  30. 10
  31. 192
  32. 81
  33. 20
  34. 37
  35. 24
  36. 46
  37. 25
  38. 19
  39. 96
  40. 55

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