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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 257 · 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? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 45 (d) 81
  2. 2.What comes next? 19, 22, 20, 23, 21, 24, ? (a) 21 (b) 22 (c) 27 (d) 26
  3. 3.What comes next? 9, 10, 12, 15, 19, ? (a) 26 (b) 23 (c) 24 (d) 25
  4. 4.What comes next? 27, 22, 17, 12, 7, ? (a) 3 (b) 2 (c) 4 (d) 1
  5. 5.What comes next? 25, 28, 31, 34, 37, ? (a) 41 (b) 40 (c) 39 (d) 43
  6. 6.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 64 (d) 65
  7. 7.What comes next? 10, 12, 14, 16, 18, ? (a) 20 (b) 21 (c) 19 (d) 22
  8. 8.What comes next? 15, 18, 16, 19, 17, 20, ? (a) 22 (b) 17 (c) 23 (d) 18
  9. 9.What comes next? 3, 8, 13, 18, 23, ? (a) 33 (b) 28 (c) 29 (d) 27
  10. 10.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 90 (d) 162
  11. 11.What comes next? 1, 6, 5, 10, 9, 14, ? (a) 12 (b) 15 (c) 13 (d) 19
  12. 12.What comes next? 28, 30, 32, 34, 36, ? (a) 40 (b) 38 (c) 39 (d) 37
  13. 13.What comes next? 28, 38, 48, 58, 68, ? (a) 88 (b) 78 (c) 79 (d) 77
  14. 14.What comes next? 23, 19, 15, 11, 7, ? (a) 3 (b) 2 (c) 5 (d) 4
  15. 15.What comes next? 18, 27, 24, 33, 30, 39, ? (a) 42 (b) 48 (c) 36 (d) 35
  16. 16.What comes next? 16, 13, 10, 7, 4, ? (a) 1 (b) 4 (c) 2 (d) 3
  17. 17.What comes next? 51, 46, 41, 36, 31, ? (a) 27 (b) 21 (c) 26 (d) 25
  18. 18.What comes next? 10, 12, 15, 19, 24, ? (a) 32 (b) 31 (c) 30 (d) 29
  19. 19.What comes next? 33, 27, 21, 15, 9, ? (a) 4 (b) 5 (c) 2 (d) 3
  20. 20.What comes next? 15, 24, 16, 25, 17, 26, ? (a) 17 (b) 34 (c) 35 (d) 18
  21. 21.What comes next? 37, 32, 27, 22, 17, ? (a) 7 (b) 12 (c) 11 (d) 13
  22. 22.What comes next? 8, 10, 12, 14, 16, ? (a) 17 (b) 19 (c) 18 (d) 20
  23. 23.What comes next? 4, 13, 7, 16, 10, 19, ? (a) 12 (b) 25 (c) 28 (d) 13
  24. 24.What comes next? 50, 45, 40, 35, 30, ? (a) 26 (b) 20 (c) 24 (d) 25
  25. 25.What comes next? 19, 21, 24, 28, 33, ? (a) 38 (b) 40 (c) 41 (d) 39
  26. 26.What comes next? 12, 15, 18, 21, 24, ? (a) 26 (b) 30 (c) 28 (d) 27
  27. 27.What comes next? 52, 45, 38, 31, 24, ? (a) 16 (b) 17 (c) 18 (d) 10
  28. 28.What comes next? 3, 5, 7, 9, 11, ? (a) 13 (b) 12 (c) 15 (d) 14
  29. 29.What comes next? 21, 19, 17, 15, 13, ? (a) 12 (b) 9 (c) 10 (d) 11
  30. 30.What comes next? 1, 3, 6, 10, 15, ? (a) 20 (b) 23 (c) 22 (d) 21
  31. 31.What comes next? 6, 7, 9, 12, 16, ? (a) 20 (b) 23 (c) 22 (d) 21
  32. 32.What comes next? 30, 25, 20, 15, 10, ? (a) 5 (b) 7 (c) 6 (d) 4
  33. 33.What comes next? 20, 18, 16, 14, 12, ? (a) 9 (b) 11 (c) 10 (d) 8
  34. 34.What comes next? 19, 22, 26, 31, 37, ? (a) 43 (b) 44 (c) 46 (d) 45
  35. 35.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  36. 36.What comes next? 16, 20, 24, 28, 32, ? (a) 40 (b) 35 (c) 37 (d) 36
  37. 37.What comes next? 17, 20, 24, 29, 35, ? (a) 44 (b) 43 (c) 42 (d) 41
  38. 38.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 96 (d) 128
  39. 39.What comes next? 61, 53, 45, 37, 29, ? (a) 13 (b) 22 (c) 20 (d) 21
  40. 40.What comes next? 22, 26, 30, 34, 38, ? (a) 42 (b) 43 (c) 46 (d) 41

Answer key

  1. 81
  2. 22
  3. 24
  4. 2
  5. 40
  6. 64
  7. 20
  8. 18
  9. 28
  10. 162
  11. 13
  12. 38
  13. 78
  14. 3
  15. 36
  16. 1
  17. 26
  18. 30
  19. 3
  20. 18
  21. 12
  22. 18
  23. 13
  24. 25
  25. 39
  26. 27
  27. 17
  28. 13
  29. 11
  30. 21
  31. 21
  32. 5
  33. 10
  34. 44
  35. 32
  36. 36
  37. 42
  38. 128
  39. 21
  40. 42

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