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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 577 · 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, 10, 14, 19, 25, ? (a) 33 (b) 32 (c) 34 (d) 31
  2. 2.What comes next? 11, 13, 16, 20, 25, ? (a) 30 (b) 31 (c) 33 (d) 32
  3. 3.What comes next? 75, 66, 57, 48, 39, ? (a) 30 (b) 21 (c) 29 (d) 31
  4. 4.What comes next? 36, 32, 28, 24, 20, ? (a) 16 (b) 12 (c) 17 (d) 15
  5. 5.What comes next? 17, 15, 13, 11, 9, ? (a) 8 (b) 6 (c) 7 (d) 5
  6. 6.What comes next? 7, 12, 17, 22, 27, ? (a) 37 (b) 33 (c) 31 (d) 32
  7. 7.What comes next? 53, 45, 37, 29, 21, ? (a) 12 (b) 13 (c) 5 (d) 14
  8. 8.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 45 (d) 81
  9. 9.What comes next? 17, 18, 20, 23, 27, ? (a) 34 (b) 32 (c) 31 (d) 33
  10. 10.What comes next? 43, 38, 33, 28, 23, ? (a) 17 (b) 13 (c) 18 (d) 19
  11. 11.What comes next? 3, 4, 6, 9, 13, ? (a) 18 (b) 17 (c) 20 (d) 19
  12. 12.What comes next? 22, 34, 46, 58, 70, ? (a) 83 (b) 94 (c) 81 (d) 82
  13. 13.What comes next? 3, 13, 23, 33, 43, ? (a) 63 (b) 53 (c) 54 (d) 52
  14. 14.What comes next? 21, 18, 15, 12, 9, ? (a) 6 (b) 5 (c) 7 (d) 3
  15. 15.What comes next? 9, 11, 13, 15, 17, ? (a) 20 (b) 18 (c) 19 (d) 21
  16. 16.What comes next? 8, 13, 12, 17, 16, 21, ? (a) 22 (b) 26 (c) 20 (d) 19
  17. 17.What comes next? 11, 14, 13, 16, 15, 18, ? (a) 17 (b) 16 (c) 19 (d) 21
  18. 18.What comes next? 19, 22, 21, 24, 23, 26, ? (a) 25 (b) 24 (c) 29 (d) 27
  19. 19.What comes next? 19, 22, 20, 23, 21, 24, ? (a) 26 (b) 21 (c) 22 (d) 27
  20. 20.What comes next? 5, 14, 11, 20, 17, 26, ? (a) 29 (b) 35 (c) 22 (d) 23
  21. 21.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 200 (d) 120
  22. 22.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 8 (b) 9 (c) 16 (d) 15
  23. 23.What comes next? 21, 26, 31, 36, 41, ? (a) 47 (b) 46 (c) 45 (d) 51
  24. 24.What comes next? 39, 33, 27, 21, 15, ? (a) 3 (b) 8 (c) 10 (d) 9
  25. 25.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 65 (c) 48 (d) 64
  26. 26.What comes next? 72, 63, 54, 45, 36, ? (a) 18 (b) 26 (c) 27 (d) 28
  27. 27.What comes next? 3, 12, 11, 20, 19, 28, ? (a) 26 (b) 29 (c) 27 (d) 37
  28. 28.What comes next? 2, 5, 9, 14, 20, ? (a) 28 (b) 29 (c) 27 (d) 26
  29. 29.What comes next? 65, 57, 49, 41, 33, ? (a) 17 (b) 26 (c) 25 (d) 24
  30. 30.What comes next? 2, 14, 26, 38, 50, ? (a) 62 (b) 61 (c) 74 (d) 63
  31. 31.What comes next? 18, 27, 36, 45, 54, ? (a) 72 (b) 64 (c) 62 (d) 63
  32. 32.What comes next? 32, 26, 20, 14, 8, ? (a) 2 (b) 1 (c) 4 (d) 3
  33. 33.What comes next? 7, 8, 10, 13, 17, ? (a) 22 (b) 21 (c) 23 (d) 24
  34. 34.What comes next? 5, 11, 10, 16, 15, 21, ? (a) 19 (b) 20 (c) 27 (d) 22
  35. 35.What comes next? 70, 62, 54, 46, 38, ? (a) 22 (b) 30 (c) 29 (d) 31
  36. 36.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 27 (c) 25 (d) 26
  37. 37.What comes next? 5, 7, 10, 14, 19, ? (a) 24 (b) 26 (c) 25 (d) 27
  38. 38.What comes next? 17, 21, 18, 22, 19, 23, ? (a) 20 (b) 19 (c) 27 (d) 26
  39. 39.What comes next? 15, 16, 18, 21, 25, ? (a) 30 (b) 32 (c) 31 (d) 29
  40. 40.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 21 (c) 22 (d) 20

Answer key

  1. 32
  2. 31
  3. 30
  4. 16
  5. 7
  6. 32
  7. 13
  8. 81
  9. 32
  10. 18
  11. 18
  12. 82
  13. 53
  14. 6
  15. 19
  16. 20
  17. 17
  18. 25
  19. 22
  20. 23
  21. 160
  22. 9
  23. 46
  24. 9
  25. 64
  26. 27
  27. 27
  28. 27
  29. 25
  30. 62
  31. 63
  32. 2
  33. 22
  34. 20
  35. 30
  36. 26
  37. 25
  38. 20
  39. 30
  40. 20

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