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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 461 · 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? 4, 7, 11, 16, 22, ? (a) 30 (b) 28 (c) 31 (d) 29
  2. 2.What comes next? 10, 16, 15, 21, 20, 26, ? (a) 32 (b) 27 (c) 24 (d) 25
  3. 3.What comes next? 3, 6, 9, 12, 15, ? (a) 19 (b) 21 (c) 17 (d) 18
  4. 4.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 32 (c) 33 (d) 24
  5. 5.What comes next? 14, 17, 20, 23, 26, ? (a) 32 (b) 28 (c) 29 (d) 30
  6. 6.What comes next? 16, 19, 22, 25, 28, ? (a) 34 (b) 32 (c) 30 (d) 31
  7. 7.What comes next? 9, 10, 12, 15, 19, ? (a) 23 (b) 25 (c) 24 (d) 26
  8. 8.What comes next? 60, 51, 42, 33, 24, ? (a) 15 (b) 6 (c) 16 (d) 14
  9. 9.What comes next? 4, 9, 7, 12, 10, 15, ? (a) 20 (b) 13 (c) 17 (d) 12
  10. 10.What comes next? 19, 23, 20, 24, 21, 25, ? (a) 22 (b) 21 (c) 29 (d) 28
  11. 11.What comes next? 52, 43, 34, 25, 16, ? (a) 8 (b) 7 (c) 6 (d) 9
  12. 12.What comes next? 10, 14, 11, 15, 12, 16, ? (a) 12 (b) 20 (c) 19 (d) 13
  13. 13.What comes next? 51, 42, 33, 24, 15, ? (a) 5 (b) 7 (c) 8 (d) 6
  14. 14.What comes next? 27, 35, 43, 51, 59, ? (a) 75 (b) 68 (c) 66 (d) 67
  15. 15.What comes next? 5, 11, 17, 23, 29, ? (a) 41 (b) 36 (c) 34 (d) 35
  16. 16.What comes next? 49, 40, 31, 22, 13, ? (a) 4 (b) 6 (c) 3 (d) 5
  17. 17.What comes next? 18, 27, 21, 30, 24, 33, ? (a) 26 (b) 42 (c) 27 (d) 39
  18. 18.What comes next? 3, 11, 10, 18, 17, 25, ? (a) 26 (b) 33 (c) 23 (d) 24
  19. 19.What comes next? 2, 5, 9, 14, 20, ? (a) 27 (b) 26 (c) 29 (d) 28
  20. 20.What comes next? 24, 30, 36, 42, 48, ? (a) 55 (b) 53 (c) 60 (d) 54
  21. 21.What comes next? 6, 10, 15, 21, 28, ? (a) 38 (b) 37 (c) 36 (d) 35
  22. 22.What comes next? 19, 17, 15, 13, 11, ? (a) 8 (b) 9 (c) 10 (d) 7
  23. 23.What comes next? 13, 22, 19, 28, 25, 34, ? (a) 43 (b) 37 (c) 31 (d) 30
  24. 24.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 144 (d) 180
  25. 25.What comes next? 66, 58, 50, 42, 34, ? (a) 25 (b) 27 (c) 18 (d) 26
  26. 26.What comes next? 29, 36, 43, 50, 57, ? (a) 65 (b) 71 (c) 64 (d) 63
  27. 27.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 80 (d) 64
  28. 28.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 270 (d) 243
  29. 29.What comes next? 16, 20, 19, 23, 22, 26, ? (a) 25 (b) 30 (c) 27 (d) 24
  30. 30.What comes next? 70, 61, 52, 43, 34, ? (a) 16 (b) 24 (c) 26 (d) 25
  31. 31.What comes next? 11, 20, 29, 38, 47, ? (a) 55 (b) 56 (c) 65 (d) 57
  32. 32.What comes next? 9, 16, 12, 19, 15, 22, ? (a) 29 (b) 26 (c) 17 (d) 18
  33. 33.What comes next? 19, 26, 33, 40, 47, ? (a) 53 (b) 54 (c) 61 (d) 55
  34. 34.What comes next? 4, 13, 5, 14, 6, 15, ? (a) 23 (b) 24 (c) 6 (d) 7
  35. 35.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 40 (c) 41 (d) 43
  36. 36.What comes next? 14, 17, 21, 26, 32, ? (a) 41 (b) 38 (c) 40 (d) 39
  37. 37.What comes next? 17, 22, 27, 32, 37, ? (a) 43 (b) 47 (c) 42 (d) 41
  38. 38.What comes next? 18, 21, 20, 23, 22, 25, ? (a) 24 (b) 28 (c) 23 (d) 26
  39. 39.What comes next? 5, 14, 13, 22, 21, 30, ? (a) 29 (b) 39 (c) 28 (d) 31
  40. 40.What comes next? 28, 25, 22, 19, 16, ? (a) 14 (b) 12 (c) 13 (d) 10

Answer key

  1. 29
  2. 25
  3. 18
  4. 32
  5. 29
  6. 31
  7. 24
  8. 15
  9. 13
  10. 22
  11. 7
  12. 13
  13. 6
  14. 67
  15. 35
  16. 4
  17. 27
  18. 24
  19. 27
  20. 54
  21. 36
  22. 9
  23. 31
  24. 162
  25. 26
  26. 64
  27. 64
  28. 243
  29. 25
  30. 25
  31. 56
  32. 18
  33. 54
  34. 7
  35. 41
  36. 39
  37. 42
  38. 24
  39. 29
  40. 13

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