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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 325 · 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? 13, 22, 19, 28, 25, 34, ? (a) 37 (b) 31 (c) 30 (d) 43
  2. 2.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 97 (d) 96
  3. 3.What comes next? 15, 18, 22, 27, 33, ? (a) 42 (b) 39 (c) 40 (d) 41
  4. 4.What comes next? 11, 21, 31, 41, 51, ? (a) 71 (b) 62 (c) 60 (d) 61
  5. 5.What comes next? 22, 33, 44, 55, 66, ? (a) 77 (b) 76 (c) 88 (d) 78
  6. 6.What comes next? 37, 32, 27, 22, 17, ? (a) 11 (b) 12 (c) 7 (d) 13
  7. 7.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 9 (b) 15 (c) 8 (d) 16
  8. 8.What comes next? 55, 48, 41, 34, 27, ? (a) 20 (b) 21 (c) 19 (d) 13
  9. 9.What comes next? 11, 13, 15, 17, 19, ? (a) 22 (b) 21 (c) 23 (d) 20
  10. 10.What comes next? 11, 18, 15, 22, 19, 26, ? (a) 29 (b) 22 (c) 33 (d) 23
  11. 11.What comes next? 18, 21, 19, 22, 20, 23, ? (a) 25 (b) 26 (c) 20 (d) 21
  12. 12.What comes next? 16, 19, 23, 28, 34, ? (a) 40 (b) 41 (c) 42 (d) 43
  13. 13.What comes next? 1, 4, 2, 5, 3, 6, ? (a) 9 (b) 8 (c) 4 (d) 3
  14. 14.What comes next? 11, 13, 16, 20, 25, ? (a) 33 (b) 30 (c) 31 (d) 32
  15. 15.What comes next? 6, 10, 15, 21, 28, ? (a) 35 (b) 36 (c) 37 (d) 38
  16. 16.What comes next? 24, 33, 42, 51, 60, ? (a) 70 (b) 78 (c) 68 (d) 69
  17. 17.What comes next? 8, 16, 11, 19, 14, 22, ? (a) 16 (b) 27 (c) 17 (d) 30
  18. 18.What comes next? 6, 13, 20, 27, 34, ? (a) 48 (b) 41 (c) 40 (d) 42
  19. 19.What comes next? 8, 15, 13, 20, 18, 25, ? (a) 22 (b) 32 (c) 23 (d) 27
  20. 20.What comes next? 24, 28, 32, 36, 40, ? (a) 44 (b) 43 (c) 48 (d) 45
  21. 21.What comes next? 17, 25, 18, 26, 19, 27, ? (a) 35 (b) 34 (c) 19 (d) 20
  22. 22.What comes next? 7, 11, 10, 14, 13, 17, ? (a) 18 (b) 16 (c) 21 (d) 15
  23. 23.What comes next? 19, 23, 27, 31, 35, ? (a) 39 (b) 40 (c) 43 (d) 38
  24. 24.What comes next? 21, 18, 15, 12, 9, ? (a) 3 (b) 5 (c) 6 (d) 7
  25. 25.What comes next? 28, 33, 38, 43, 48, ? (a) 52 (b) 54 (c) 58 (d) 53
  26. 26.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 65 (d) 64
  27. 27.What comes next? 20, 21, 23, 26, 30, ? (a) 34 (b) 36 (c) 35 (d) 37
  28. 28.What comes next? 4, 12, 6, 14, 8, 16, ? (a) 22 (b) 9 (c) 10 (d) 24
  29. 29.What comes next? 2, 4, 6, 8, 10, ? (a) 13 (b) 14 (c) 12 (d) 11
  30. 30.What comes next? 41, 38, 35, 32, 29, ? (a) 27 (b) 25 (c) 23 (d) 26
  31. 31.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 200 (c) 161 (d) 120
  32. 32.What comes next? 25, 21, 17, 13, 9, ? (a) 6 (b) 5 (c) 1 (d) 4
  33. 33.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 33 (d) 32
  34. 34.What comes next? 18, 25, 32, 39, 46, ? (a) 60 (b) 52 (c) 53 (d) 54
  35. 35.What comes next? 17, 21, 20, 24, 23, 27, ? (a) 31 (b) 25 (c) 26 (d) 28
  36. 36.What comes next? 20, 24, 21, 25, 22, 26, ? (a) 22 (b) 30 (c) 23 (d) 29
  37. 37.What comes next? 13, 14, 16, 19, 23, ? (a) 27 (b) 30 (c) 28 (d) 29
  38. 38.What comes next? 4, 12, 7, 15, 10, 18, ? (a) 23 (b) 12 (c) 13 (d) 26
  39. 39.What comes next? 36, 32, 28, 24, 20, ? (a) 12 (b) 15 (c) 17 (d) 16
  40. 40.What comes next? 16, 14, 12, 10, 8, ? (a) 7 (b) 6 (c) 4 (d) 5

Answer key

  1. 31
  2. 96
  3. 40
  4. 61
  5. 77
  6. 12
  7. 9
  8. 20
  9. 21
  10. 23
  11. 21
  12. 41
  13. 4
  14. 31
  15. 36
  16. 69
  17. 17
  18. 41
  19. 23
  20. 44
  21. 20
  22. 16
  23. 39
  24. 6
  25. 53
  26. 64
  27. 35
  28. 10
  29. 12
  30. 26
  31. 160
  32. 5
  33. 32
  34. 53
  35. 26
  36. 23
  37. 28
  38. 13
  39. 16
  40. 6

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