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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 509 · 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? 11, 14, 17, 20, 23, ? (a) 27 (b) 29 (c) 26 (d) 25
  2. 2.What comes next? 33, 30, 27, 24, 21, ? (a) 17 (b) 18 (c) 15 (d) 19
  3. 3.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 4 (b) 10 (c) 9 (d) 5
  4. 4.What comes next? 22, 18, 14, 10, 6, ? (a) 2 (b) 4 (c) 3 (d) 1
  5. 5.What comes next? 19, 27, 22, 30, 25, 33, ? (a) 41 (b) 27 (c) 28 (d) 38
  6. 6.What comes next? 13, 16, 20, 25, 31, ? (a) 39 (b) 40 (c) 37 (d) 38
  7. 7.What comes next? 11, 13, 15, 17, 19, ? (a) 21 (b) 20 (c) 23 (d) 22
  8. 8.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 96 (d) 97
  9. 9.What comes next? 45, 39, 33, 27, 21, ? (a) 9 (b) 16 (c) 14 (d) 15
  10. 10.What comes next? 4, 14, 24, 34, 44, ? (a) 64 (b) 53 (c) 54 (d) 55
  11. 11.What comes next? 17, 26, 35, 44, 53, ? (a) 61 (b) 71 (c) 63 (d) 62
  12. 12.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 200 (d) 120
  13. 13.What comes next? 66, 58, 50, 42, 34, ? (a) 26 (b) 27 (c) 18 (d) 25
  14. 14.What comes next? 3, 11, 19, 27, 35, ? (a) 44 (b) 42 (c) 51 (d) 43
  15. 15.What comes next? 28, 35, 42, 49, 56, ? (a) 70 (b) 64 (c) 63 (d) 62
  16. 16.What comes next? 7, 11, 8, 12, 9, 13, ? (a) 16 (b) 17 (c) 9 (d) 10
  17. 17.What comes next? 38, 34, 30, 26, 22, ? (a) 14 (b) 19 (c) 18 (d) 17
  18. 18.What comes next? 7, 11, 10, 14, 13, 17, ? (a) 18 (b) 16 (c) 21 (d) 15
  19. 19.What comes next? 20, 24, 21, 25, 22, 26, ? (a) 29 (b) 23 (c) 22 (d) 30
  20. 20.What comes next? 31, 25, 19, 13, 7, ? (a) 2 (b) 1 (c) 4 (d) 3
  21. 21.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 90 (d) 144
  22. 22.What comes next? 1, 5, 10, 16, 23, ? (a) 32 (b) 30 (c) 33 (d) 31
  23. 23.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 90 (d) 72
  24. 24.What comes next? 15, 23, 20, 28, 25, 33, ? (a) 36 (b) 30 (c) 29 (d) 41
  25. 25.What comes next? 17, 22, 27, 32, 37, ? (a) 42 (b) 47 (c) 41 (d) 43
  26. 26.What comes next? 51, 43, 35, 27, 19, ? (a) 12 (b) 10 (c) 11 (d) 3
  27. 27.What comes next? 2, 9, 16, 23, 30, ? (a) 44 (b) 38 (c) 36 (d) 37
  28. 28.What comes next? 27, 35, 43, 51, 59, ? (a) 68 (b) 75 (c) 67 (d) 66
  29. 29.What comes next? 53, 44, 35, 26, 17, ? (a) 7 (b) 10 (c) 9 (d) 8
  30. 30.What comes next? 61, 52, 43, 34, 25, ? (a) 15 (b) 7 (c) 17 (d) 16
  31. 31.What comes next? 10, 15, 12, 17, 14, 19, ? (a) 22 (b) 24 (c) 15 (d) 16
  32. 32.What comes next? 25, 31, 37, 43, 49, ? (a) 55 (b) 56 (c) 54 (d) 61
  33. 33.What comes next? 29, 25, 21, 17, 13, ? (a) 5 (b) 9 (c) 8 (d) 10
  34. 34.What comes next? 52, 44, 36, 28, 20, ? (a) 11 (b) 4 (c) 12 (d) 13
  35. 35.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 144 (c) 240 (d) 192
  36. 36.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 20 (c) 17 (d) 18
  37. 37.What comes next? 5, 16, 27, 38, 49, ? (a) 59 (b) 60 (c) 61 (d) 71
  38. 38.What comes next? 39, 33, 27, 21, 15, ? (a) 9 (b) 3 (c) 10 (d) 8
  39. 39.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 96 (d) 160
  40. 40.What comes next? 73, 64, 55, 46, 37, ? (a) 27 (b) 19 (c) 28 (d) 29

Answer key

  1. 26
  2. 18
  3. 5
  4. 2
  5. 28
  6. 38
  7. 21
  8. 96
  9. 15
  10. 54
  11. 62
  12. 160
  13. 26
  14. 43
  15. 63
  16. 10
  17. 18
  18. 16
  19. 23
  20. 1
  21. 162
  22. 31
  23. 81
  24. 30
  25. 42
  26. 11
  27. 37
  28. 67
  29. 8
  30. 16
  31. 16
  32. 55
  33. 9
  34. 12
  35. 192
  36. 18
  37. 60
  38. 9
  39. 128
  40. 28

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