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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 576 · 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, 15, 12, 9, 6, ? (a) 5 (b) 4 (c) 3 (d) 2
  2. 2.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  3. 3.What comes next? 17, 20, 24, 29, 35, ? (a) 42 (b) 44 (c) 41 (d) 43
  4. 4.What comes next? 14, 19, 15, 20, 16, 21, ? (a) 25 (b) 16 (c) 17 (d) 26
  5. 5.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 144 (d) 193
  6. 6.What comes next? 15, 16, 18, 21, 25, ? (a) 29 (b) 32 (c) 31 (d) 30
  7. 7.What comes next? 19, 16, 13, 10, 7, ? (a) 3 (b) 1 (c) 5 (d) 4
  8. 8.What comes next? 15, 23, 18, 26, 21, 29, ? (a) 37 (b) 34 (c) 23 (d) 24
  9. 9.What comes next? 23, 29, 35, 41, 47, ? (a) 52 (b) 54 (c) 59 (d) 53
  10. 10.What comes next? 25, 31, 37, 43, 49, ? (a) 54 (b) 55 (c) 56 (d) 61
  11. 11.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 144 (d) 162
  12. 12.What comes next? 11, 19, 14, 22, 17, 25, ? (a) 33 (b) 20 (c) 19 (d) 30
  13. 13.What comes next? 13, 11, 9, 7, 5, ? (a) 4 (b) 2 (c) 1 (d) 3
  14. 14.What comes next? 20, 26, 32, 38, 44, ? (a) 49 (b) 50 (c) 51 (d) 56
  15. 15.What comes next? 6, 8, 11, 15, 20, ? (a) 25 (b) 28 (c) 26 (d) 27
  16. 16.What comes next? 5, 8, 12, 17, 23, ? (a) 32 (b) 30 (c) 29 (d) 31
  17. 17.What comes next? 12, 17, 22, 27, 32, ? (a) 36 (b) 38 (c) 37 (d) 42
  18. 18.What comes next? 18, 24, 30, 36, 42, ? (a) 47 (b) 54 (c) 49 (d) 48
  19. 19.What comes next? 44, 38, 32, 26, 20, ? (a) 13 (b) 8 (c) 14 (d) 15
  20. 20.What comes next? 6, 11, 16, 21, 26, ? (a) 31 (b) 30 (c) 32 (d) 36
  21. 21.What comes next? 23, 20, 17, 14, 11, ? (a) 5 (b) 7 (c) 9 (d) 8
  22. 22.What comes next? 18, 20, 23, 27, 32, ? (a) 38 (b) 39 (c) 40 (d) 37
  23. 23.What comes next? 19, 23, 27, 31, 35, ? (a) 38 (b) 39 (c) 40 (d) 43
  24. 24.What comes next? 7, 11, 15, 19, 23, ? (a) 26 (b) 28 (c) 31 (d) 27
  25. 25.What comes next? 3, 15, 27, 39, 51, ? (a) 63 (b) 62 (c) 64 (d) 75
  26. 26.What comes next? 23, 28, 33, 38, 43, ? (a) 48 (b) 53 (c) 49 (d) 47
  27. 27.What comes next? 16, 25, 24, 33, 32, 41, ? (a) 39 (b) 50 (c) 40 (d) 42
  28. 28.What comes next? 12, 18, 24, 30, 36, ? (a) 43 (b) 41 (c) 48 (d) 42
  29. 29.What comes next? 9, 15, 21, 27, 33, ? (a) 45 (b) 39 (c) 40 (d) 38
  30. 30.What comes next? 20, 23, 27, 32, 38, ? (a) 44 (b) 45 (c) 47 (d) 46
  31. 31.What comes next? 19, 20, 22, 25, 29, ? (a) 35 (b) 33 (c) 34 (d) 36
  32. 32.What comes next? 16, 25, 34, 43, 52, ? (a) 70 (b) 61 (c) 60 (d) 62
  33. 33.What comes next? 57, 51, 45, 39, 33, ? (a) 28 (b) 21 (c) 26 (d) 27
  34. 34.What comes next? 14, 23, 17, 26, 20, 29, ? (a) 38 (b) 23 (c) 35 (d) 22
  35. 35.What comes next? 41, 34, 27, 20, 13, ? (a) 7 (b) 5 (c) 8 (d) 6
  36. 36.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  37. 37.What comes next? 39, 33, 27, 21, 15, ? (a) 3 (b) 10 (c) 9 (d) 8
  38. 38.What comes next? 18, 23, 28, 33, 38, ? (a) 43 (b) 44 (c) 48 (d) 42
  39. 39.What comes next? 12, 14, 17, 21, 26, ? (a) 32 (b) 31 (c) 34 (d) 33
  40. 40.What comes next? 58, 50, 42, 34, 26, ? (a) 19 (b) 10 (c) 17 (d) 18

Answer key

  1. 3
  2. 243
  3. 42
  4. 17
  5. 192
  6. 30
  7. 4
  8. 24
  9. 53
  10. 55
  11. 162
  12. 20
  13. 3
  14. 50
  15. 26
  16. 30
  17. 37
  18. 48
  19. 14
  20. 31
  21. 8
  22. 38
  23. 39
  24. 27
  25. 63
  26. 48
  27. 40
  28. 42
  29. 39
  30. 45
  31. 34
  32. 61
  33. 27
  34. 23
  35. 6
  36. 64
  37. 9
  38. 43
  39. 32
  40. 18

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