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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 435 · 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? 6, 12, 24, 48, 96, ? (a) 192 (b) 193 (c) 144 (d) 240
  2. 2.What comes next? 25, 21, 17, 13, 9, ? (a) 6 (b) 1 (c) 4 (d) 5
  3. 3.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 32 (d) 33
  4. 4.What comes next? 28, 31, 34, 37, 40, ? (a) 44 (b) 43 (c) 42 (d) 46
  5. 5.What comes next? 33, 27, 21, 15, 9, ? (a) 5 (b) 2 (c) 3 (d) 4
  6. 6.What comes next? 8, 20, 32, 44, 56, ? (a) 80 (b) 69 (c) 67 (d) 68
  7. 7.What comes next? 9, 17, 10, 18, 11, 19, ? (a) 11 (b) 12 (c) 27 (d) 26
  8. 8.What comes next? 4, 7, 11, 16, 22, ? (a) 29 (b) 31 (c) 28 (d) 30
  9. 9.What comes next? 14, 21, 18, 25, 22, 29, ? (a) 26 (b) 32 (c) 36 (d) 25
  10. 10.What comes next? 27, 33, 39, 45, 51, ? (a) 58 (b) 57 (c) 56 (d) 63
  11. 11.What comes next? 34, 29, 24, 19, 14, ? (a) 8 (b) 9 (c) 10 (d) 4
  12. 12.What comes next? 13, 15, 18, 22, 27, ? (a) 33 (b) 34 (c) 32 (d) 35
  13. 13.What comes next? 70, 62, 54, 46, 38, ? (a) 30 (b) 29 (c) 31 (d) 22
  14. 14.What comes next? 3, 11, 9, 17, 15, 23, ? (a) 21 (b) 25 (c) 20 (d) 31
  15. 15.What comes next? 17, 26, 18, 27, 19, 28, ? (a) 37 (b) 19 (c) 36 (d) 20
  16. 16.What comes next? 34, 28, 22, 16, 10, ? (a) 4 (b) 6 (c) 5 (d) 3
  17. 17.What comes next? 2, 11, 20, 29, 38, ? (a) 48 (b) 56 (c) 47 (d) 46
  18. 18.What comes next? 1, 9, 7, 15, 13, 21, ? (a) 23 (b) 18 (c) 29 (d) 19
  19. 19.What comes next? 22, 19, 16, 13, 10, ? (a) 4 (b) 8 (c) 7 (d) 6
  20. 20.What comes next? 18, 29, 40, 51, 62, ? (a) 84 (b) 72 (c) 74 (d) 73
  21. 21.What comes next? 17, 18, 20, 23, 27, ? (a) 31 (b) 33 (c) 32 (d) 34
  22. 22.What comes next? 4, 8, 12, 16, 20, ? (a) 25 (b) 23 (c) 28 (d) 24
  23. 23.What comes next? 9, 14, 11, 16, 13, 18, ? (a) 23 (b) 15 (c) 21 (d) 14
  24. 24.What comes next? 59, 51, 43, 35, 27, ? (a) 11 (b) 20 (c) 18 (d) 19
  25. 25.What comes next? 41, 35, 29, 23, 17, ? (a) 11 (b) 12 (c) 10 (d) 5
  26. 26.What comes next? 5, 10, 15, 20, 25, ? (a) 29 (b) 30 (c) 31 (d) 35
  27. 27.What comes next? 6, 9, 12, 15, 18, ? (a) 24 (b) 22 (c) 20 (d) 21
  28. 28.What comes next? 29, 31, 33, 35, 37, ? (a) 40 (b) 39 (c) 41 (d) 38
  29. 29.What comes next? 1, 4, 8, 13, 19, ? (a) 28 (b) 25 (c) 27 (d) 26
  30. 30.What comes next? 4, 12, 20, 28, 36, ? (a) 43 (b) 44 (c) 45 (d) 52
  31. 31.What comes next? 28, 38, 48, 58, 68, ? (a) 77 (b) 88 (c) 79 (d) 78
  32. 32.What comes next? 20, 23, 27, 32, 38, ? (a) 46 (b) 45 (c) 47 (d) 44
  33. 33.What comes next? 53, 45, 37, 29, 21, ? (a) 12 (b) 13 (c) 5 (d) 14
  34. 34.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 48 (d) 64
  35. 35.What comes next? 57, 48, 39, 30, 21, ? (a) 3 (b) 11 (c) 13 (d) 12
  36. 36.What comes next? 14, 17, 21, 26, 32, ? (a) 38 (b) 40 (c) 39 (d) 41
  37. 37.What comes next? 45, 38, 31, 24, 17, ? (a) 9 (b) 11 (c) 3 (d) 10
  38. 38.What comes next? 22, 31, 40, 49, 58, ? (a) 66 (b) 68 (c) 76 (d) 67
  39. 39.What comes next? 51, 45, 39, 33, 27, ? (a) 22 (b) 21 (c) 20 (d) 15
  40. 40.What comes next? 7, 12, 17, 22, 27, ? (a) 33 (b) 31 (c) 37 (d) 32

Answer key

  1. 192
  2. 5
  3. 32
  4. 43
  5. 3
  6. 68
  7. 12
  8. 29
  9. 26
  10. 57
  11. 9
  12. 33
  13. 30
  14. 21
  15. 20
  16. 4
  17. 47
  18. 19
  19. 7
  20. 73
  21. 32
  22. 24
  23. 15
  24. 19
  25. 11
  26. 30
  27. 21
  28. 39
  29. 26
  30. 44
  31. 78
  32. 45
  33. 13
  34. 64
  35. 12
  36. 39
  37. 10
  38. 67
  39. 21
  40. 32

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