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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 134 · 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? 20, 25, 30, 35, 40, ? (a) 46 (b) 44 (c) 45 (d) 50
  2. 2.What comes next? 8, 14, 9, 15, 10, 16, ? (a) 10 (b) 21 (c) 11 (d) 22
  3. 3.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 120 (d) 160
  4. 4.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 16 (b) 14 (c) 12 (d) 11
  5. 5.What comes next? 19, 22, 20, 23, 21, 24, ? (a) 22 (b) 21 (c) 26 (d) 27
  6. 6.What comes next? 6, 10, 15, 21, 28, ? (a) 36 (b) 38 (c) 35 (d) 37
  7. 7.What comes next? 52, 47, 42, 37, 32, ? (a) 22 (b) 28 (c) 26 (d) 27
  8. 8.What comes next? 20, 24, 29, 35, 42, ? (a) 51 (b) 49 (c) 50 (d) 52
  9. 9.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 72 (d) 45
  10. 10.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 144 (d) 180
  11. 11.What comes next? 70, 62, 54, 46, 38, ? (a) 29 (b) 31 (c) 30 (d) 22
  12. 12.What comes next? 13, 15, 17, 19, 21, ? (a) 24 (b) 22 (c) 23 (d) 25
  13. 13.What comes next? 16, 14, 12, 10, 8, ? (a) 4 (b) 6 (c) 7 (d) 5
  14. 14.What comes next? 7, 16, 25, 34, 43, ? (a) 61 (b) 53 (c) 52 (d) 51
  15. 15.What comes next? 5, 8, 11, 14, 17, ? (a) 21 (b) 23 (c) 20 (d) 19
  16. 16.What comes next? 2, 6, 11, 17, 24, ? (a) 31 (b) 33 (c) 32 (d) 34
  17. 17.What comes next? 25, 22, 19, 16, 13, ? (a) 9 (b) 11 (c) 10 (d) 7
  18. 18.What comes next? 15, 17, 19, 21, 23, ? (a) 25 (b) 24 (c) 26 (d) 27
  19. 19.What comes next? 24, 36, 48, 60, 72, ? (a) 84 (b) 83 (c) 96 (d) 85
  20. 20.What comes next? 35, 29, 23, 17, 11, ? (a) 7 (b) 6 (c) 4 (d) 5
  21. 21.What comes next? 3, 6, 10, 15, 21, ? (a) 27 (b) 29 (c) 30 (d) 28
  22. 22.What comes next? 15, 22, 20, 27, 25, 32, ? (a) 30 (b) 29 (c) 34 (d) 39
  23. 23.What comes next? 19, 23, 20, 24, 21, 25, ? (a) 21 (b) 29 (c) 28 (d) 22
  24. 24.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 120 (c) 97 (d) 96
  25. 25.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 36 (c) 33 (d) 34
  26. 26.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  27. 27.What comes next? 31, 26, 21, 16, 11, ? (a) 5 (b) 7 (c) 6 (d) 1
  28. 28.What comes next? 16, 25, 24, 33, 32, 41, ? (a) 39 (b) 42 (c) 40 (d) 50
  29. 29.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 27 (c) 25 (d) 26
  30. 30.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 128 (d) 96
  31. 31.What comes next? 16, 17, 19, 22, 26, ? (a) 32 (b) 30 (c) 33 (d) 31
  32. 32.What comes next? 19, 21, 24, 28, 33, ? (a) 38 (b) 41 (c) 40 (d) 39
  33. 33.What comes next? 13, 16, 20, 25, 31, ? (a) 37 (b) 40 (c) 39 (d) 38
  34. 34.What comes next? 10, 11, 13, 16, 20, ? (a) 24 (b) 27 (c) 25 (d) 26
  35. 35.What comes next? 30, 27, 24, 21, 18, ? (a) 12 (b) 15 (c) 14 (d) 16
  36. 36.What comes next? 39, 34, 29, 24, 19, ? (a) 9 (b) 15 (c) 14 (d) 13
  37. 37.What comes next? 39, 35, 31, 27, 23, ? (a) 15 (b) 18 (c) 20 (d) 19
  38. 38.What comes next? 9, 12, 16, 21, 27, ? (a) 34 (b) 36 (c) 35 (d) 33
  39. 39.What comes next? 33, 28, 23, 18, 13, ? (a) 3 (b) 9 (c) 7 (d) 8
  40. 40.What comes next? 61, 54, 47, 40, 33, ? (a) 25 (b) 19 (c) 26 (d) 27

Answer key

  1. 45
  2. 11
  3. 160
  4. 12
  5. 22
  6. 36
  7. 27
  8. 50
  9. 81
  10. 162
  11. 30
  12. 23
  13. 6
  14. 52
  15. 20
  16. 32
  17. 10
  18. 25
  19. 84
  20. 5
  21. 28
  22. 30
  23. 22
  24. 96
  25. 34
  26. 32
  27. 6
  28. 40
  29. 26
  30. 128
  31. 31
  32. 39
  33. 38
  34. 25
  35. 15
  36. 14
  37. 19
  38. 34
  39. 8
  40. 26

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