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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 125 · 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? 54, 45, 36, 27, 18, ? (a) 9 (b) 10 (c) 11 (d) 8
  2. 2.What comes next? 29, 24, 19, 14, 9, ? (a) 4 (b) 5 (c) 6 (d) 3
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 144 (d) 180
  4. 4.What comes next? 21, 28, 35, 42, 49, ? (a) 63 (b) 55 (c) 56 (d) 57
  5. 5.What comes next? 11, 23, 35, 47, 59, ? (a) 70 (b) 72 (c) 71 (d) 83
  6. 6.What comes next? 21, 23, 25, 27, 29, ? (a) 33 (b) 30 (c) 31 (d) 32
  7. 7.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 97 (d) 72
  8. 8.What comes next? 15, 16, 18, 21, 25, ? (a) 30 (b) 31 (c) 29 (d) 32
  9. 9.What comes next? 21, 33, 45, 57, 69, ? (a) 93 (b) 82 (c) 80 (d) 81
  10. 10.What comes next? 28, 24, 20, 16, 12, ? (a) 8 (b) 7 (c) 9 (d) 4
  11. 11.What comes next? 26, 21, 16, 11, 6, ? (a) 3 (b) 1 (c) 4 (d) 2
  12. 12.What comes next? 17, 18, 20, 23, 27, ? (a) 32 (b) 33 (c) 34 (d) 31
  13. 13.What comes next? 3, 7, 4, 8, 5, 9, ? (a) 12 (b) 6 (c) 5 (d) 13
  14. 14.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 14 (b) 9 (c) 15 (d) 10
  15. 15.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 17 (c) 20 (d) 18
  16. 16.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 120 (d) 200
  17. 17.What comes next? 57, 51, 45, 39, 33, ? (a) 21 (b) 27 (c) 28 (d) 26
  18. 18.What comes next? 7, 9, 12, 16, 21, ? (a) 29 (b) 28 (c) 26 (d) 27
  19. 19.What comes next? 25, 21, 17, 13, 9, ? (a) 1 (b) 6 (c) 4 (d) 5
  20. 20.What comes next? 25, 23, 21, 19, 17, ? (a) 14 (b) 16 (c) 15 (d) 13
  21. 21.What comes next? 7, 12, 11, 16, 15, 20, ? (a) 25 (b) 18 (c) 19 (d) 21
  22. 22.What comes next? 29, 33, 37, 41, 45, ? (a) 53 (b) 49 (c) 50 (d) 48
  23. 23.What comes next? 11, 12, 14, 17, 21, ? (a) 27 (b) 25 (c) 26 (d) 28
  24. 24.What comes next? 9, 11, 14, 18, 23, ? (a) 28 (b) 29 (c) 31 (d) 30
  25. 25.What comes next? 27, 23, 19, 15, 11, ? (a) 6 (b) 8 (c) 3 (d) 7
  26. 26.What comes next? 18, 23, 20, 25, 22, 27, ? (a) 24 (b) 23 (c) 32 (d) 30
  27. 27.What comes next? 14, 20, 17, 23, 20, 26, ? (a) 29 (b) 23 (c) 32 (d) 22
  28. 28.What comes next? 35, 32, 29, 26, 23, ? (a) 20 (b) 17 (c) 21 (d) 19
  29. 29.What comes next? 30, 32, 34, 36, 38, ? (a) 40 (b) 42 (c) 39 (d) 41
  30. 30.What comes next? 1, 3, 6, 10, 15, ? (a) 20 (b) 23 (c) 21 (d) 22
  31. 31.What comes next? 18, 23, 22, 27, 26, 31, ? (a) 36 (b) 29 (c) 32 (d) 30
  32. 32.What comes next? 38, 31, 24, 17, 10, ? (a) 3 (b) 4 (c) 5 (d) 2
  33. 33.What comes next? 36, 33, 30, 27, 24, ? (a) 22 (b) 21 (c) 20 (d) 18
  34. 34.What comes next? 7, 14, 8, 15, 9, 16, ? (a) 9 (b) 23 (c) 10 (d) 22
  35. 35.What comes next? 68, 59, 50, 41, 32, ? (a) 24 (b) 22 (c) 14 (d) 23
  36. 36.What comes next? 1, 9, 7, 15, 13, 21, ? (a) 23 (b) 18 (c) 19 (d) 29
  37. 37.What comes next? 13, 14, 16, 19, 23, ? (a) 27 (b) 29 (c) 30 (d) 28
  38. 38.What comes next? 14, 20, 26, 32, 38, ? (a) 44 (b) 50 (c) 43 (d) 45
  39. 39.What comes next? 5, 9, 14, 20, 27, ? (a) 34 (b) 35 (c) 36 (d) 37
  40. 40.What comes next? 7, 14, 21, 28, 35, ? (a) 49 (b) 43 (c) 41 (d) 42

Answer key

  1. 9
  2. 4
  3. 162
  4. 56
  5. 71
  6. 31
  7. 96
  8. 30
  9. 81
  10. 8
  11. 1
  12. 32
  13. 6
  14. 10
  15. 18
  16. 160
  17. 27
  18. 27
  19. 5
  20. 15
  21. 19
  22. 49
  23. 26
  24. 29
  25. 7
  26. 24
  27. 23
  28. 20
  29. 40
  30. 21
  31. 30
  32. 3
  33. 21
  34. 10
  35. 23
  36. 19
  37. 28
  38. 44
  39. 35
  40. 42

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