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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 376 · 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, 20, 28, 36, 44, ? (a) 51 (b) 53 (c) 52 (d) 60
  2. 2.What comes next? 4, 7, 10, 13, 16, ? (a) 22 (b) 18 (c) 19 (d) 20
  3. 3.What comes next? 4, 8, 7, 11, 10, 14, ? (a) 18 (b) 15 (c) 12 (d) 13
  4. 4.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 11 (b) 12 (c) 14 (d) 16
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 144 (d) 180
  6. 6.What comes next? 1, 7, 6, 12, 11, 17, ? (a) 18 (b) 15 (c) 16 (d) 23
  7. 7.What comes next? 16, 20, 25, 31, 38, ? (a) 46 (b) 45 (c) 47 (d) 48
  8. 8.What comes next? 34, 31, 28, 25, 22, ? (a) 16 (b) 19 (c) 20 (d) 18
  9. 9.What comes next? 17, 18, 20, 23, 27, ? (a) 31 (b) 33 (c) 32 (d) 34
  10. 10.What comes next? 3, 11, 7, 15, 11, 19, ? (a) 27 (b) 15 (c) 14 (d) 23
  11. 11.What comes next? 13, 18, 17, 22, 21, 26, ? (a) 24 (b) 31 (c) 27 (d) 25
  12. 12.What comes next? 11, 14, 13, 16, 15, 18, ? (a) 16 (b) 19 (c) 17 (d) 21
  13. 13.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 240 (d) 192
  14. 14.What comes next? 27, 22, 17, 12, 7, ? (a) 1 (b) 3 (c) 4 (d) 2
  15. 15.What comes next? 20, 24, 23, 27, 26, 30, ? (a) 29 (b) 31 (c) 28 (d) 34
  16. 16.What comes next? 2, 6, 5, 9, 8, 12, ? (a) 11 (b) 13 (c) 10 (d) 16
  17. 17.What comes next? 20, 21, 23, 26, 30, ? (a) 34 (b) 37 (c) 36 (d) 35
  18. 18.What comes next? 12, 16, 15, 19, 18, 22, ? (a) 23 (b) 21 (c) 20 (d) 26
  19. 19.What comes next? 7, 19, 31, 43, 55, ? (a) 67 (b) 68 (c) 79 (d) 66
  20. 20.What comes next? 30, 25, 20, 15, 10, ? (a) 5 (b) 6 (c) 4 (d) 7
  21. 21.What comes next? 3, 11, 6, 14, 9, 17, ? (a) 22 (b) 11 (c) 12 (d) 25
  22. 22.What comes next? 19, 22, 20, 23, 21, 24, ? (a) 26 (b) 27 (c) 22 (d) 21
  23. 23.What comes next? 19, 29, 39, 49, 59, ? (a) 69 (b) 79 (c) 70 (d) 68
  24. 24.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 40 (d) 32
  25. 25.What comes next? 18, 27, 36, 45, 54, ? (a) 62 (b) 72 (c) 63 (d) 64
  26. 26.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 21 (c) 20 (d) 22
  27. 27.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 243 (d) 216
  28. 28.What comes next? 14, 15, 17, 20, 24, ? (a) 28 (b) 30 (c) 29 (d) 31
  29. 29.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 45 (d) 81
  30. 30.What comes next? 15, 17, 19, 21, 23, ? (a) 24 (b) 26 (c) 25 (d) 27
  31. 31.What comes next? 6, 14, 22, 30, 38, ? (a) 45 (b) 47 (c) 46 (d) 54
  32. 32.What comes next? 47, 43, 39, 35, 31, ? (a) 28 (b) 23 (c) 27 (d) 26
  33. 33.What comes next? 4, 5, 7, 10, 14, ? (a) 20 (b) 18 (c) 21 (d) 19
  34. 34.What comes next? 22, 33, 44, 55, 66, ? (a) 78 (b) 77 (c) 88 (d) 76
  35. 35.What comes next? 18, 21, 24, 27, 30, ? (a) 36 (b) 32 (c) 33 (d) 34
  36. 36.What comes next? 68, 60, 52, 44, 36, ? (a) 20 (b) 29 (c) 28 (d) 27
  37. 37.What comes next? 9, 18, 12, 21, 15, 24, ? (a) 33 (b) 30 (c) 17 (d) 18
  38. 38.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 27 (c) 28 (d) 29
  39. 39.What comes next? 24, 21, 18, 15, 12, ? (a) 8 (b) 9 (c) 6 (d) 10
  40. 40.What comes next? 2, 8, 6, 12, 10, 16, ? (a) 14 (b) 18 (c) 13 (d) 22

Answer key

  1. 52
  2. 19
  3. 13
  4. 12
  5. 162
  6. 16
  7. 46
  8. 19
  9. 32
  10. 15
  11. 25
  12. 17
  13. 192
  14. 2
  15. 29
  16. 11
  17. 35
  18. 21
  19. 67
  20. 5
  21. 12
  22. 22
  23. 69
  24. 32
  25. 63
  26. 20
  27. 243
  28. 29
  29. 81
  30. 25
  31. 46
  32. 27
  33. 19
  34. 77
  35. 33
  36. 28
  37. 18
  38. 27
  39. 9
  40. 14

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