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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 240 · 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? 18, 21, 19, 22, 20, 23, ? (a) 21 (b) 26 (c) 20 (d) 25
  2. 2.What comes next? 40, 34, 28, 22, 16, ? (a) 4 (b) 11 (c) 9 (d) 10
  3. 3.What comes next? 6, 12, 7, 13, 8, 14, ? (a) 8 (b) 19 (c) 9 (d) 20
  4. 4.What comes next? 4, 5, 7, 10, 14, ? (a) 18 (b) 20 (c) 19 (d) 21
  5. 5.What comes next? 26, 37, 48, 59, 70, ? (a) 80 (b) 82 (c) 92 (d) 81
  6. 6.What comes next? 38, 35, 32, 29, 26, ? (a) 23 (b) 24 (c) 22 (d) 20
  7. 7.What comes next? 18, 25, 20, 27, 22, 29, ? (a) 36 (b) 23 (c) 34 (d) 24
  8. 8.What comes next? 7, 15, 23, 31, 39, ? (a) 55 (b) 47 (c) 48 (d) 46
  9. 9.What comes next? 11, 13, 16, 20, 25, ? (a) 33 (b) 31 (c) 32 (d) 30
  10. 10.What comes next? 4, 11, 8, 15, 12, 19, ? (a) 15 (b) 22 (c) 26 (d) 16
  11. 11.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 129 (d) 128
  12. 12.What comes next? 21, 28, 35, 42, 49, ? (a) 63 (b) 56 (c) 57 (d) 55
  13. 13.What comes next? 14, 15, 17, 20, 24, ? (a) 30 (b) 28 (c) 31 (d) 29
  14. 14.What comes next? 20, 26, 23, 29, 26, 32, ? (a) 28 (b) 35 (c) 29 (d) 38
  15. 15.What comes next? 4, 15, 26, 37, 48, ? (a) 60 (b) 58 (c) 59 (d) 70
  16. 16.What comes next? 27, 31, 35, 39, 43, ? (a) 47 (b) 48 (c) 46 (d) 51
  17. 17.What comes next? 31, 29, 27, 25, 23, ? (a) 22 (b) 19 (c) 20 (d) 21
  18. 18.What comes next? 33, 28, 23, 18, 13, ? (a) 7 (b) 3 (c) 9 (d) 8
  19. 19.What comes next? 11, 14, 18, 23, 29, ? (a) 35 (b) 37 (c) 38 (d) 36
  20. 20.What comes next? 20, 31, 42, 53, 64, ? (a) 76 (b) 86 (c) 75 (d) 74
  21. 21.What comes next? 25, 34, 43, 52, 61, ? (a) 79 (b) 70 (c) 71 (d) 69
  22. 22.What comes next? 6, 13, 20, 27, 34, ? (a) 42 (b) 40 (c) 48 (d) 41
  23. 23.What comes next? 10, 17, 15, 22, 20, 27, ? (a) 29 (b) 34 (c) 24 (d) 25
  24. 24.What comes next? 4, 9, 6, 11, 8, 13, ? (a) 18 (b) 9 (c) 10 (d) 16
  25. 25.What comes next? 41, 33, 25, 17, 9, ? (a) 1 (b) 3 (c) 4 (d) 2
  26. 26.What comes next? 41, 38, 35, 32, 29, ? (a) 26 (b) 27 (c) 25 (d) 23
  27. 27.What comes next? 11, 17, 16, 22, 21, 27, ? (a) 33 (b) 26 (c) 28 (d) 25
  28. 28.What comes next? 12, 16, 21, 27, 34, ? (a) 42 (b) 44 (c) 43 (d) 41
  29. 29.What comes next? 6, 10, 14, 18, 22, ? (a) 30 (b) 26 (c) 25 (d) 27
  30. 30.What comes next? 2, 11, 20, 29, 38, ? (a) 46 (b) 47 (c) 48 (d) 56
  31. 31.What comes next? 22, 29, 36, 43, 50, ? (a) 56 (b) 64 (c) 57 (d) 58
  32. 32.What comes next? 4, 9, 7, 12, 10, 15, ? (a) 20 (b) 17 (c) 12 (d) 13
  33. 33.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 16 (b) 11 (c) 14 (d) 12
  34. 34.What comes next? 8, 12, 9, 13, 10, 14, ? (a) 18 (b) 11 (c) 17 (d) 10
  35. 35.What comes next? 6, 14, 10, 18, 14, 22, ? (a) 18 (b) 26 (c) 17 (d) 30
  36. 36.What comes next? 3, 8, 5, 10, 7, 12, ? (a) 15 (b) 8 (c) 9 (d) 17
  37. 37.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 180 (d) 162
  38. 38.What comes next? 64, 57, 50, 43, 36, ? (a) 22 (b) 30 (c) 28 (d) 29
  39. 39.What comes next? 70, 61, 52, 43, 34, ? (a) 16 (b) 26 (c) 25 (d) 24
  40. 40.What comes next? 28, 30, 32, 34, 36, ? (a) 40 (b) 37 (c) 38 (d) 39

Answer key

  1. 21
  2. 10
  3. 9
  4. 19
  5. 81
  6. 23
  7. 24
  8. 47
  9. 31
  10. 16
  11. 128
  12. 56
  13. 29
  14. 29
  15. 59
  16. 47
  17. 21
  18. 8
  19. 36
  20. 75
  21. 70
  22. 41
  23. 25
  24. 10
  25. 1
  26. 26
  27. 26
  28. 42
  29. 26
  30. 47
  31. 57
  32. 13
  33. 12
  34. 11
  35. 18
  36. 9
  37. 162
  38. 29
  39. 25
  40. 38

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