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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 151 · 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? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 120 (d) 160
  2. 2.What comes next? 23, 27, 31, 35, 39, ? (a) 42 (b) 44 (c) 47 (d) 43
  3. 3.What comes next? 26, 32, 38, 44, 50, ? (a) 62 (b) 55 (c) 56 (d) 57
  4. 4.What comes next? 13, 22, 17, 26, 21, 30, ? (a) 39 (b) 25 (c) 35 (d) 24
  5. 5.What comes next? 1, 10, 8, 17, 15, 24, ? (a) 26 (b) 22 (c) 21 (d) 33
  6. 6.What comes next? 8, 11, 9, 12, 10, 13, ? (a) 11 (b) 15 (c) 16 (d) 10
  7. 7.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 90 (d) 72
  8. 8.What comes next? 9, 17, 10, 18, 11, 19, ? (a) 26 (b) 11 (c) 27 (d) 12
  9. 9.What comes next? 25, 32, 39, 46, 53, ? (a) 67 (b) 61 (c) 59 (d) 60
  10. 10.What comes next? 23, 28, 33, 38, 43, ? (a) 49 (b) 48 (c) 47 (d) 53
  11. 11.What comes next? 22, 18, 14, 10, 6, ? (a) 3 (b) 4 (c) 1 (d) 2
  12. 12.What comes next? 40, 35, 30, 25, 20, ? (a) 10 (b) 15 (c) 16 (d) 14
  13. 13.What comes next? 39, 34, 29, 24, 19, ? (a) 15 (b) 13 (c) 9 (d) 14
  14. 14.What comes next? 30, 35, 40, 45, 50, ? (a) 60 (b) 54 (c) 56 (d) 55
  15. 15.What comes next? 12, 17, 22, 27, 32, ? (a) 42 (b) 36 (c) 37 (d) 38
  16. 16.What comes next? 14, 16, 18, 20, 22, ? (a) 26 (b) 23 (c) 24 (d) 25
  17. 17.What comes next? 8, 14, 20, 26, 32, ? (a) 38 (b) 37 (c) 44 (d) 39
  18. 18.What comes next? 18, 27, 25, 34, 32, 41, ? (a) 39 (b) 38 (c) 43 (d) 50
  19. 19.What comes next? 40, 38, 36, 34, 32, ? (a) 29 (b) 30 (c) 28 (d) 31
  20. 20.What comes next? 54, 48, 42, 36, 30, ? (a) 18 (b) 23 (c) 25 (d) 24
  21. 21.What comes next? 53, 45, 37, 29, 21, ? (a) 13 (b) 14 (c) 12 (d) 5
  22. 22.What comes next? 17, 22, 27, 32, 37, ? (a) 43 (b) 41 (c) 42 (d) 47
  23. 23.What comes next? 3, 9, 15, 21, 27, ? (a) 34 (b) 32 (c) 33 (d) 39
  24. 24.What comes next? 3, 8, 13, 18, 23, ? (a) 27 (b) 33 (c) 29 (d) 28
  25. 25.What comes next? 41, 35, 29, 23, 17, ? (a) 5 (b) 11 (c) 12 (d) 10
  26. 26.What comes next? 70, 62, 54, 46, 38, ? (a) 22 (b) 29 (c) 30 (d) 31
  27. 27.What comes next? 24, 22, 20, 18, 16, ? (a) 15 (b) 12 (c) 13 (d) 14
  28. 28.What comes next? 6, 17, 28, 39, 50, ? (a) 61 (b) 62 (c) 60 (d) 72
  29. 29.What comes next? 25, 29, 33, 37, 41, ? (a) 45 (b) 46 (c) 49 (d) 44
  30. 30.What comes next? 11, 14, 13, 16, 15, 18, ? (a) 16 (b) 19 (c) 17 (d) 21
  31. 31.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 90 (d) 162
  32. 32.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 40 (d) 32
  33. 33.What comes next? 42, 38, 34, 30, 26, ? (a) 23 (b) 18 (c) 21 (d) 22
  34. 34.What comes next? 16, 20, 19, 23, 22, 26, ? (a) 30 (b) 27 (c) 24 (d) 25
  35. 35.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  36. 36.What comes next? 1, 6, 3, 8, 5, 10, ? (a) 7 (b) 6 (c) 13 (d) 15
  37. 37.What comes next? 28, 31, 34, 37, 40, ? (a) 46 (b) 44 (c) 42 (d) 43
  38. 38.What comes next? 19, 22, 26, 31, 37, ? (a) 45 (b) 43 (c) 46 (d) 44
  39. 39.What comes next? 16, 18, 20, 22, 24, ? (a) 25 (b) 27 (c) 28 (d) 26
  40. 40.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 7 (b) 9 (c) 11 (d) 6

Answer key

  1. 160
  2. 43
  3. 56
  4. 25
  5. 22
  6. 11
  7. 81
  8. 12
  9. 60
  10. 48
  11. 2
  12. 15
  13. 14
  14. 55
  15. 37
  16. 24
  17. 38
  18. 39
  19. 30
  20. 24
  21. 13
  22. 42
  23. 33
  24. 28
  25. 11
  26. 30
  27. 14
  28. 61
  29. 45
  30. 17
  31. 162
  32. 32
  33. 22
  34. 25
  35. 64
  36. 7
  37. 43
  38. 44
  39. 26
  40. 7

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