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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 126 · 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? 37, 33, 29, 25, 21, ? (a) 13 (b) 16 (c) 18 (d) 17
  2. 2.What comes next? 17, 18, 20, 23, 27, ? (a) 34 (b) 32 (c) 31 (d) 33
  3. 3.What comes next? 30, 32, 34, 36, 38, ? (a) 41 (b) 40 (c) 42 (d) 39
  4. 4.What comes next? 23, 29, 35, 41, 47, ? (a) 53 (b) 54 (c) 59 (d) 52
  5. 5.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 65 (d) 80
  6. 6.What comes next? 4, 10, 6, 12, 8, 14, ? (a) 9 (b) 20 (c) 10 (d) 18
  7. 7.What comes next? 3, 7, 12, 18, 25, ? (a) 35 (b) 33 (c) 34 (d) 32
  8. 8.What comes next? 64, 57, 50, 43, 36, ? (a) 22 (b) 29 (c) 30 (d) 28
  9. 9.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 72 (d) 45
  10. 10.What comes next? 30, 35, 40, 45, 50, ? (a) 60 (b) 55 (c) 54 (d) 56
  11. 11.What comes next? 11, 19, 27, 35, 43, ? (a) 59 (b) 51 (c) 52 (d) 50
  12. 12.What comes next? 2, 5, 8, 11, 14, ? (a) 16 (b) 20 (c) 17 (d) 18
  13. 13.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 8 (b) 10 (c) 7 (d) 12
  14. 14.What comes next? 5, 12, 11, 18, 17, 24, ? (a) 23 (b) 25 (c) 22 (d) 31
  15. 15.What comes next? 15, 16, 18, 21, 25, ? (a) 30 (b) 32 (c) 31 (d) 29
  16. 16.What comes next? 13, 18, 16, 21, 19, 24, ? (a) 22 (b) 29 (c) 21 (d) 26
  17. 17.What comes next? 24, 20, 16, 12, 8, ? (a) 3 (b) 4 (c) 6 (d) 5
  18. 18.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 15 (c) 16 (d) 17
  19. 19.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 23 (c) 22 (d) 24
  20. 20.What comes next? 10, 14, 19, 25, 32, ? (a) 39 (b) 40 (c) 41 (d) 42
  21. 21.What comes next? 22, 24, 26, 28, 30, ? (a) 33 (b) 34 (c) 31 (d) 32
  22. 22.What comes next? 12, 17, 13, 18, 14, 19, ? (a) 24 (b) 23 (c) 15 (d) 14
  23. 23.What comes next? 13, 23, 33, 43, 53, ? (a) 73 (b) 64 (c) 62 (d) 63
  24. 24.What comes next? 5, 6, 8, 11, 15, ? (a) 21 (b) 22 (c) 19 (d) 20
  25. 25.What comes next? 46, 37, 28, 19, 10, ? (a) 3 (b) 4 (c) 2 (d) 1
  26. 26.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  27. 27.What comes next? 22, 33, 44, 55, 66, ? (a) 78 (b) 76 (c) 88 (d) 77
  28. 28.What comes next? 17, 15, 13, 11, 9, ? (a) 6 (b) 8 (c) 7 (d) 5
  29. 29.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 17 (c) 18 (d) 16
  30. 30.What comes next? 18, 26, 19, 27, 20, 28, ? (a) 36 (b) 20 (c) 21 (d) 35
  31. 31.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 15 (b) 10 (c) 13 (d) 11
  32. 32.What comes next? 5, 13, 21, 29, 37, ? (a) 53 (b) 44 (c) 46 (d) 45
  33. 33.What comes next? 40, 34, 28, 22, 16, ? (a) 10 (b) 11 (c) 4 (d) 9
  34. 34.What comes next? 12, 23, 34, 45, 56, ? (a) 66 (b) 78 (c) 67 (d) 68
  35. 35.What comes next? 20, 22, 25, 29, 34, ? (a) 39 (b) 40 (c) 41 (d) 42
  36. 36.What comes next? 6, 10, 15, 21, 28, ? (a) 35 (b) 37 (c) 36 (d) 38
  37. 37.What comes next? 31, 28, 25, 22, 19, ? (a) 13 (b) 15 (c) 17 (d) 16
  38. 38.What comes next? 16, 22, 18, 24, 20, 26, ? (a) 30 (b) 22 (c) 32 (d) 21
  39. 39.What comes next? 21, 18, 15, 12, 9, ? (a) 5 (b) 7 (c) 6 (d) 3
  40. 40.What comes next? 28, 33, 38, 43, 48, ? (a) 54 (b) 52 (c) 53 (d) 58

Answer key

  1. 17
  2. 32
  3. 40
  4. 53
  5. 64
  6. 10
  7. 33
  8. 29
  9. 81
  10. 55
  11. 51
  12. 17
  13. 8
  14. 23
  15. 30
  16. 22
  17. 4
  18. 16
  19. 22
  20. 40
  21. 32
  22. 15
  23. 63
  24. 20
  25. 1
  26. 32
  27. 77
  28. 7
  29. 17
  30. 21
  31. 11
  32. 45
  33. 10
  34. 67
  35. 40
  36. 36
  37. 16
  38. 22
  39. 6
  40. 53

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