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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 507 · 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? 6, 13, 20, 27, 34, ? (a) 48 (b) 42 (c) 40 (d) 41
  2. 2.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 40 (d) 32
  3. 3.What comes next? 55, 49, 43, 37, 31, ? (a) 24 (b) 25 (c) 19 (d) 26
  4. 4.What comes next? 28, 24, 20, 16, 12, ? (a) 9 (b) 4 (c) 8 (d) 7
  5. 5.What comes next? 9, 14, 13, 18, 17, 22, ? (a) 21 (b) 23 (c) 27 (d) 20
  6. 6.What comes next? 27, 30, 33, 36, 39, ? (a) 42 (b) 41 (c) 43 (d) 45
  7. 7.What comes next? 7, 15, 11, 19, 15, 23, ? (a) 27 (b) 18 (c) 31 (d) 19
  8. 8.What comes next? 24, 31, 38, 45, 52, ? (a) 66 (b) 60 (c) 59 (d) 58
  9. 9.What comes next? 1, 3, 6, 10, 15, ? (a) 22 (b) 23 (c) 21 (d) 20
  10. 10.What comes next? 13, 16, 19, 22, 25, ? (a) 29 (b) 27 (c) 31 (d) 28
  11. 11.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 90 (d) 45
  12. 12.What comes next? 67, 58, 49, 40, 31, ? (a) 21 (b) 23 (c) 22 (d) 13
  13. 13.What comes next? 13, 17, 15, 19, 17, 21, ? (a) 23 (b) 25 (c) 18 (d) 19
  14. 14.What comes next? 19, 17, 15, 13, 11, ? (a) 9 (b) 7 (c) 10 (d) 8
  15. 15.What comes next? 25, 31, 37, 43, 49, ? (a) 61 (b) 54 (c) 56 (d) 55
  16. 16.What comes next? 5, 7, 10, 14, 19, ? (a) 25 (b) 27 (c) 24 (d) 26
  17. 17.What comes next? 46, 40, 34, 28, 22, ? (a) 15 (b) 10 (c) 16 (d) 17
  18. 18.What comes next? 31, 25, 19, 13, 7, ? (a) 1 (b) 3 (c) 2 (d) 4
  19. 19.What comes next? 7, 12, 8, 13, 9, 14, ? (a) 19 (b) 18 (c) 9 (d) 10
  20. 20.What comes next? 12, 15, 18, 21, 24, ? (a) 28 (b) 27 (c) 26 (d) 30
  21. 21.What comes next? 8, 16, 15, 23, 22, 30, ? (a) 28 (b) 31 (c) 38 (d) 29
  22. 22.What comes next? 5, 9, 14, 20, 27, ? (a) 34 (b) 37 (c) 35 (d) 36
  23. 23.What comes next? 10, 11, 13, 16, 20, ? (a) 27 (b) 26 (c) 25 (d) 24
  24. 24.What comes next? 48, 44, 40, 36, 32, ? (a) 24 (b) 27 (c) 29 (d) 28
  25. 25.What comes next? 31, 28, 25, 22, 19, ? (a) 13 (b) 15 (c) 17 (d) 16
  26. 26.What comes next? 66, 58, 50, 42, 34, ? (a) 27 (b) 25 (c) 26 (d) 18
  27. 27.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 9 (b) 6 (c) 11 (d) 7
  28. 28.What comes next? 30, 40, 50, 60, 70, ? (a) 79 (b) 90 (c) 81 (d) 80
  29. 29.What comes next? 14, 15, 17, 20, 24, ? (a) 31 (b) 29 (c) 30 (d) 28
  30. 30.What comes next? 1, 5, 10, 16, 23, ? (a) 31 (b) 30 (c) 32 (d) 33
  31. 31.What comes next? 1, 6, 5, 10, 9, 14, ? (a) 15 (b) 12 (c) 19 (d) 13
  32. 32.What comes next? 9, 18, 27, 36, 45, ? (a) 63 (b) 55 (c) 53 (d) 54
  33. 33.What comes next? 17, 15, 13, 11, 9, ? (a) 5 (b) 6 (c) 7 (d) 8
  34. 34.What comes next? 10, 15, 20, 25, 30, ? (a) 35 (b) 34 (c) 36 (d) 40
  35. 35.What comes next? 4, 8, 13, 19, 26, ? (a) 36 (b) 33 (c) 34 (d) 35
  36. 36.What comes next? 30, 28, 26, 24, 22, ? (a) 20 (b) 19 (c) 21 (d) 18
  37. 37.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 144 (d) 240
  38. 38.What comes next? 11, 18, 17, 24, 23, 30, ? (a) 37 (b) 29 (c) 28 (d) 31
  39. 39.What comes next? 17, 23, 19, 25, 21, 27, ? (a) 33 (b) 22 (c) 31 (d) 23
  40. 40.What comes next? 11, 15, 20, 26, 33, ? (a) 40 (b) 41 (c) 43 (d) 42

Answer key

  1. 41
  2. 32
  3. 25
  4. 8
  5. 21
  6. 42
  7. 19
  8. 59
  9. 21
  10. 28
  11. 81
  12. 22
  13. 19
  14. 9
  15. 55
  16. 25
  17. 16
  18. 1
  19. 10
  20. 27
  21. 29
  22. 35
  23. 25
  24. 28
  25. 16
  26. 26
  27. 7
  28. 80
  29. 29
  30. 31
  31. 13
  32. 54
  33. 7
  34. 35
  35. 34
  36. 20
  37. 192
  38. 29
  39. 23
  40. 41

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