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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 120 · 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? 21, 17, 13, 9, 5, ? (a) 4 (b) 2 (c) 1 (d) 3
  2. 2.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 35 (c) 36 (d) 34
  3. 3.What comes next? 65, 58, 51, 44, 37, ? (a) 31 (b) 30 (c) 23 (d) 29
  4. 4.What comes next? 47, 41, 35, 29, 23, ? (a) 11 (b) 18 (c) 16 (d) 17
  5. 5.What comes next? 14, 15, 17, 20, 24, ? (a) 29 (b) 28 (c) 31 (d) 30
  6. 6.What comes next? 44, 37, 30, 23, 16, ? (a) 8 (b) 2 (c) 10 (d) 9
  7. 7.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 18 (b) 19 (c) 21 (d) 23
  8. 8.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 7 (b) 10 (c) 8 (d) 12
  9. 9.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 45 (d) 90
  10. 10.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 243 (d) 135
  11. 11.What comes next? 54, 47, 40, 33, 26, ? (a) 12 (b) 20 (c) 19 (d) 18
  12. 12.What comes next? 4, 7, 10, 13, 16, ? (a) 19 (b) 22 (c) 18 (d) 20
  13. 13.What comes next? 8, 16, 12, 20, 16, 24, ? (a) 20 (b) 28 (c) 19 (d) 32
  14. 14.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 90 (c) 180 (d) 144
  15. 15.What comes next? 63, 56, 49, 42, 35, ? (a) 28 (b) 27 (c) 29 (d) 21
  16. 16.What comes next? 16, 25, 23, 32, 30, 39, ? (a) 36 (b) 41 (c) 37 (d) 48
  17. 17.What comes next? 15, 22, 29, 36, 43, ? (a) 57 (b) 51 (c) 50 (d) 49
  18. 18.What comes next? 12, 19, 26, 33, 40, ? (a) 48 (b) 46 (c) 54 (d) 47
  19. 19.What comes next? 15, 17, 19, 21, 23, ? (a) 27 (b) 25 (c) 26 (d) 24
  20. 20.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 144 (c) 240 (d) 193
  21. 21.What comes next? 3, 5, 8, 12, 17, ? (a) 25 (b) 23 (c) 24 (d) 22
  22. 22.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 5 (b) 10 (c) 4 (d) 9
  23. 23.What comes next? 16, 17, 19, 22, 26, ? (a) 32 (b) 33 (c) 31 (d) 30
  24. 24.What comes next? 4, 13, 22, 31, 40, ? (a) 48 (b) 50 (c) 49 (d) 58
  25. 25.What comes next? 8, 9, 11, 14, 18, ? (a) 22 (b) 25 (c) 23 (d) 24
  26. 26.What comes next? 38, 36, 34, 32, 30, ? (a) 26 (b) 27 (c) 28 (d) 29
  27. 27.What comes next? 16, 21, 26, 31, 36, ? (a) 46 (b) 42 (c) 41 (d) 40
  28. 28.What comes next? 10, 12, 15, 19, 24, ? (a) 31 (b) 30 (c) 29 (d) 32
  29. 29.What comes next? 1, 3, 6, 10, 15, ? (a) 20 (b) 21 (c) 23 (d) 22
  30. 30.What comes next? 3, 12, 9, 18, 15, 24, ? (a) 20 (b) 21 (c) 33 (d) 27
  31. 31.What comes next? 28, 40, 52, 64, 76, ? (a) 100 (b) 87 (c) 89 (d) 88
  32. 32.What comes next? 48, 40, 32, 24, 16, ? (a) 7 (b) 10 (c) 8 (d) 9
  33. 33.What comes next? 9, 10, 12, 15, 19, ? (a) 25 (b) 23 (c) 24 (d) 26
  34. 34.What comes next? 5, 14, 7, 16, 9, 18, ? (a) 25 (b) 11 (c) 27 (d) 10
  35. 35.What comes next? 63, 54, 45, 36, 27, ? (a) 18 (b) 19 (c) 9 (d) 17
  36. 36.What comes next? 36, 30, 24, 18, 12, ? (a) 5 (b) 8 (c) 7 (d) 6
  37. 37.What comes next? 70, 62, 54, 46, 38, ? (a) 22 (b) 30 (c) 29 (d) 31
  38. 38.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 32 (d) 33
  39. 39.What comes next? 46, 41, 36, 31, 26, ? (a) 22 (b) 21 (c) 20 (d) 16
  40. 40.What comes next? 24, 28, 32, 36, 40, ? (a) 44 (b) 45 (c) 43 (d) 48

Answer key

  1. 1
  2. 34
  3. 30
  4. 17
  5. 29
  6. 9
  7. 19
  8. 8
  9. 81
  10. 243
  11. 19
  12. 19
  13. 20
  14. 162
  15. 28
  16. 37
  17. 50
  18. 47
  19. 25
  20. 192
  21. 23
  22. 5
  23. 31
  24. 49
  25. 23
  26. 28
  27. 41
  28. 30
  29. 21
  30. 21
  31. 88
  32. 8
  33. 24
  34. 11
  35. 18
  36. 6
  37. 30
  38. 32
  39. 21
  40. 44

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