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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 231 · 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? 12, 15, 13, 16, 14, 17, ? (a) 14 (b) 20 (c) 15 (d) 19
  2. 2.What comes next? 65, 58, 51, 44, 37, ? (a) 31 (b) 29 (c) 23 (d) 30
  3. 3.What comes next? 16, 17, 19, 22, 26, ? (a) 31 (b) 33 (c) 30 (d) 32
  4. 4.What comes next? 12, 13, 15, 18, 22, ? (a) 27 (b) 26 (c) 28 (d) 29
  5. 5.What comes next? 9, 13, 18, 24, 31, ? (a) 41 (b) 40 (c) 39 (d) 38
  6. 6.What comes next? 6, 11, 10, 15, 14, 19, ? (a) 17 (b) 24 (c) 18 (d) 20
  7. 7.What comes next? 4, 13, 10, 19, 16, 25, ? (a) 22 (b) 34 (c) 21 (d) 28
  8. 8.What comes next? 7, 14, 9, 16, 11, 18, ? (a) 25 (b) 12 (c) 13 (d) 23
  9. 9.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 97 (d) 96
  10. 10.What comes next? 29, 31, 33, 35, 37, ? (a) 40 (b) 39 (c) 41 (d) 38
  11. 11.What comes next? 11, 15, 19, 23, 27, ? (a) 30 (b) 32 (c) 31 (d) 35
  12. 12.What comes next? 7, 14, 8, 15, 9, 16, ? (a) 22 (b) 23 (c) 10 (d) 9
  13. 13.What comes next? 30, 25, 20, 15, 10, ? (a) 5 (b) 6 (c) 4 (d) 7
  14. 14.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 24 (d) 32
  15. 15.What comes next? 8, 9, 11, 14, 18, ? (a) 22 (b) 25 (c) 24 (d) 23
  16. 16.What comes next? 27, 34, 41, 48, 55, ? (a) 69 (b) 61 (c) 62 (d) 63
  17. 17.What comes next? 13, 15, 18, 22, 27, ? (a) 32 (b) 34 (c) 33 (d) 35
  18. 18.What comes next? 32, 29, 26, 23, 20, ? (a) 16 (b) 18 (c) 14 (d) 17
  19. 19.What comes next? 3, 7, 12, 18, 25, ? (a) 34 (b) 35 (c) 32 (d) 33
  20. 20.What comes next? 33, 30, 27, 24, 21, ? (a) 15 (b) 18 (c) 19 (d) 17
  21. 21.What comes next? 22, 19, 16, 13, 10, ? (a) 4 (b) 8 (c) 6 (d) 7
  22. 22.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 23 (b) 19 (c) 18 (d) 21
  23. 23.What comes next? 51, 42, 33, 24, 15, ? (a) 7 (b) 6 (c) 8 (d) 5
  24. 24.What comes next? 16, 19, 17, 20, 18, 21, ? (a) 19 (b) 18 (c) 23 (d) 24
  25. 25.What comes next? 27, 39, 51, 63, 75, ? (a) 88 (b) 86 (c) 87 (d) 99
  26. 26.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 240 (c) 193 (d) 144
  27. 27.What comes next? 17, 22, 18, 23, 19, 24, ? (a) 28 (b) 20 (c) 29 (d) 19
  28. 28.What comes next? 10, 16, 22, 28, 34, ? (a) 41 (b) 39 (c) 46 (d) 40
  29. 29.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 81 (d) 72
  30. 30.What comes next? 69, 61, 53, 45, 37, ? (a) 21 (b) 30 (c) 28 (d) 29
  31. 31.What comes next? 12, 10, 8, 6, 4, ? (a) 4 (b) 2 (c) 3 (d) 1
  32. 32.What comes next? 36, 30, 24, 18, 12, ? (a) 8 (b) 7 (c) 6 (d) 5
  33. 33.What comes next? 15, 18, 22, 27, 33, ? (a) 40 (b) 41 (c) 42 (d) 39
  34. 34.What comes next? 12, 18, 13, 19, 14, 20, ? (a) 15 (b) 26 (c) 14 (d) 25
  35. 35.What comes next? 31, 28, 25, 22, 19, ? (a) 13 (b) 16 (c) 15 (d) 17
  36. 36.What comes next? 17, 21, 26, 32, 39, ? (a) 48 (b) 49 (c) 46 (d) 47
  37. 37.What comes next? 12, 15, 19, 24, 30, ? (a) 39 (b) 37 (c) 38 (d) 36
  38. 38.What comes next? 14, 16, 19, 23, 28, ? (a) 35 (b) 36 (c) 33 (d) 34
  39. 39.What comes next? 59, 53, 47, 41, 35, ? (a) 28 (b) 30 (c) 29 (d) 23
  40. 40.What comes next? 26, 23, 20, 17, 14, ? (a) 8 (b) 12 (c) 10 (d) 11

Answer key

  1. 15
  2. 30
  3. 31
  4. 27
  5. 39
  6. 18
  7. 22
  8. 13
  9. 96
  10. 39
  11. 31
  12. 10
  13. 5
  14. 32
  15. 23
  16. 62
  17. 33
  18. 17
  19. 33
  20. 18
  21. 7
  22. 19
  23. 6
  24. 19
  25. 87
  26. 192
  27. 20
  28. 40
  29. 81
  30. 29
  31. 2
  32. 6
  33. 40
  34. 15
  35. 16
  36. 47
  37. 37
  38. 34
  39. 29
  40. 11

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