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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 157 · 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? 7, 12, 17, 22, 27, ? (a) 37 (b) 31 (c) 33 (d) 32
  2. 2.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 96 (d) 120
  3. 3.What comes next? 28, 38, 48, 58, 68, ? (a) 78 (b) 77 (c) 79 (d) 88
  4. 4.What comes next? 50, 43, 36, 29, 22, ? (a) 16 (b) 14 (c) 8 (d) 15
  5. 5.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 40 (d) 32
  6. 6.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 34 (c) 36 (d) 35
  7. 7.What comes next? 6, 14, 22, 30, 38, ? (a) 47 (b) 45 (c) 54 (d) 46
  8. 8.What comes next? 25, 35, 45, 55, 65, ? (a) 74 (b) 75 (c) 85 (d) 76
  9. 9.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 65 (d) 48
  10. 10.What comes next? 2, 6, 3, 7, 4, 8, ? (a) 12 (b) 5 (c) 4 (d) 11
  11. 11.What comes next? 16, 17, 19, 22, 26, ? (a) 32 (b) 33 (c) 31 (d) 30
  12. 12.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 144 (d) 180
  13. 13.What comes next? 1, 2, 4, 7, 11, ? (a) 18 (b) 15 (c) 17 (d) 16
  14. 14.What comes next? 60, 53, 46, 39, 32, ? (a) 24 (b) 25 (c) 26 (d) 18
  15. 15.What comes next? 5, 7, 9, 11, 13, ? (a) 17 (b) 16 (c) 15 (d) 14
  16. 16.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 12 (b) 14 (c) 9 (d) 10
  17. 17.What comes next? 20, 29, 38, 47, 56, ? (a) 66 (b) 65 (c) 64 (d) 74
  18. 18.What comes next? 12, 18, 16, 22, 20, 26, ? (a) 32 (b) 24 (c) 28 (d) 23
  19. 19.What comes next? 3, 8, 13, 18, 23, ? (a) 29 (b) 28 (c) 27 (d) 33
  20. 20.What comes next? 11, 12, 14, 17, 21, ? (a) 27 (b) 26 (c) 25 (d) 28
  21. 21.What comes next? 46, 39, 32, 25, 18, ? (a) 10 (b) 12 (c) 11 (d) 4
  22. 22.What comes next? 62, 53, 44, 35, 26, ? (a) 8 (b) 16 (c) 17 (d) 18
  23. 23.What comes next? 59, 50, 41, 32, 23, ? (a) 14 (b) 5 (c) 13 (d) 15
  24. 24.What comes next? 3, 8, 7, 12, 11, 16, ? (a) 21 (b) 14 (c) 17 (d) 15
  25. 25.What comes next? 28, 26, 24, 22, 20, ? (a) 18 (b) 19 (c) 16 (d) 17
  26. 26.What comes next? 26, 21, 16, 11, 6, ? (a) 2 (b) 3 (c) 1 (d) 4
  27. 27.What comes next? 8, 11, 15, 20, 26, ? (a) 34 (b) 35 (c) 33 (d) 32
  28. 28.What comes next? 39, 35, 31, 27, 23, ? (a) 19 (b) 20 (c) 18 (d) 15
  29. 29.What comes next? 24, 21, 18, 15, 12, ? (a) 6 (b) 9 (c) 10 (d) 8
  30. 30.What comes next? 26, 29, 32, 35, 38, ? (a) 41 (b) 44 (c) 42 (d) 40
  31. 31.What comes next? 10, 11, 13, 16, 20, ? (a) 27 (b) 24 (c) 26 (d) 25
  32. 32.What comes next? 61, 52, 43, 34, 25, ? (a) 17 (b) 15 (c) 16 (d) 7
  33. 33.What comes next? 3, 12, 6, 15, 9, 18, ? (a) 24 (b) 27 (c) 11 (d) 12
  34. 34.What comes next? 39, 34, 29, 24, 19, ? (a) 15 (b) 9 (c) 14 (d) 13
  35. 35.What comes next? 49, 40, 31, 22, 13, ? (a) 5 (b) 3 (c) 4 (d) 6
  36. 36.What comes next? 33, 27, 21, 15, 9, ? (a) 5 (b) 2 (c) 3 (d) 4
  37. 37.What comes next? 32, 26, 20, 14, 8, ? (a) 3 (b) 1 (c) 2 (d) 4
  38. 38.What comes next? 11, 22, 33, 44, 55, ? (a) 65 (b) 67 (c) 77 (d) 66
  39. 39.What comes next? 10, 12, 14, 16, 18, ? (a) 22 (b) 21 (c) 19 (d) 20
  40. 40.What comes next? 4, 13, 12, 21, 20, 29, ? (a) 38 (b) 27 (c) 28 (d) 30

Answer key

  1. 32
  2. 96
  3. 78
  4. 15
  5. 32
  6. 34
  7. 46
  8. 75
  9. 64
  10. 5
  11. 31
  12. 162
  13. 16
  14. 25
  15. 15
  16. 10
  17. 65
  18. 24
  19. 28
  20. 26
  21. 11
  22. 17
  23. 14
  24. 15
  25. 18
  26. 1
  27. 33
  28. 19
  29. 9
  30. 41
  31. 25
  32. 16
  33. 12
  34. 14
  35. 4
  36. 3
  37. 2
  38. 66
  39. 20
  40. 28

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