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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 511 · 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? 26, 32, 38, 44, 50, ? (a) 62 (b) 56 (c) 55 (d) 57
  2. 2.What comes next? 25, 23, 21, 19, 17, ? (a) 14 (b) 16 (c) 15 (d) 13
  3. 3.What comes next? 16, 24, 32, 40, 48, ? (a) 57 (b) 64 (c) 55 (d) 56
  4. 4.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 180 (d) 162
  5. 5.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 192 (d) 193
  6. 6.What comes next? 15, 19, 18, 22, 21, 25, ? (a) 29 (b) 24 (c) 23 (d) 26
  7. 7.What comes next? 6, 14, 13, 21, 20, 28, ? (a) 29 (b) 27 (c) 26 (d) 36
  8. 8.What comes next? 30, 27, 24, 21, 18, ? (a) 16 (b) 12 (c) 14 (d) 15
  9. 9.What comes next? 4, 7, 11, 16, 22, ? (a) 29 (b) 30 (c) 31 (d) 28
  10. 10.What comes next? 31, 28, 25, 22, 19, ? (a) 17 (b) 16 (c) 13 (d) 15
  11. 11.What comes next? 57, 48, 39, 30, 21, ? (a) 3 (b) 12 (c) 13 (d) 11
  12. 12.What comes next? 7, 11, 10, 14, 13, 17, ? (a) 16 (b) 15 (c) 21 (d) 18
  13. 13.What comes next? 42, 34, 26, 18, 10, ? (a) 1 (b) 2 (c) 3 (d) 4
  14. 14.What comes next? 11, 13, 16, 20, 25, ? (a) 33 (b) 31 (c) 30 (d) 32
  15. 15.What comes next? 18, 15, 12, 9, 6, ? (a) 5 (b) 3 (c) 4 (d) 2
  16. 16.What comes next? 27, 22, 17, 12, 7, ? (a) 3 (b) 1 (c) 4 (d) 2
  17. 17.What comes next? 4, 10, 8, 14, 12, 18, ? (a) 15 (b) 16 (c) 20 (d) 24
  18. 18.What comes next? 52, 47, 42, 37, 32, ? (a) 28 (b) 26 (c) 22 (d) 27
  19. 19.What comes next? 11, 12, 14, 17, 21, ? (a) 26 (b) 25 (c) 27 (d) 28
  20. 20.What comes next? 6, 7, 9, 12, 16, ? (a) 23 (b) 22 (c) 21 (d) 20
  21. 21.What comes next? 20, 23, 26, 29, 32, ? (a) 34 (b) 36 (c) 38 (d) 35
  22. 22.What comes next? 9, 12, 11, 14, 13, 16, ? (a) 14 (b) 19 (c) 15 (d) 17
  23. 23.What comes next? 9, 10, 12, 15, 19, ? (a) 23 (b) 26 (c) 25 (d) 24
  24. 24.What comes next? 11, 20, 15, 24, 19, 28, ? (a) 33 (b) 37 (c) 23 (d) 22
  25. 25.What comes next? 3, 10, 9, 16, 15, 22, ? (a) 23 (b) 29 (c) 20 (d) 21
  26. 26.What comes next? 7, 11, 16, 22, 29, ? (a) 36 (b) 38 (c) 39 (d) 37
  27. 27.What comes next? 2, 5, 9, 14, 20, ? (a) 26 (b) 28 (c) 29 (d) 27
  28. 28.What comes next? 15, 18, 21, 24, 27, ? (a) 30 (b) 31 (c) 33 (d) 29
  29. 29.What comes next? 20, 17, 14, 11, 8, ? (a) 4 (b) 5 (c) 6 (d) 2
  30. 30.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 65 (d) 80
  31. 31.What comes next? 48, 42, 36, 30, 24, ? (a) 12 (b) 17 (c) 19 (d) 18
  32. 32.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 20 (c) 21 (d) 22
  33. 33.What comes next? 69, 60, 51, 42, 33, ? (a) 15 (b) 24 (c) 23 (d) 25
  34. 34.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  35. 35.What comes next? 14, 16, 19, 23, 28, ? (a) 35 (b) 34 (c) 33 (d) 36
  36. 36.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  37. 37.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 96 (c) 120 (d) 97
  38. 38.What comes next? 9, 18, 27, 36, 45, ? (a) 55 (b) 63 (c) 53 (d) 54
  39. 39.What comes next? 9, 13, 17, 21, 25, ? (a) 29 (b) 33 (c) 28 (d) 30
  40. 40.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 13 (b) 18 (c) 17 (d) 12

Answer key

  1. 56
  2. 15
  3. 56
  4. 162
  5. 192
  6. 24
  7. 27
  8. 15
  9. 29
  10. 16
  11. 12
  12. 16
  13. 2
  14. 31
  15. 3
  16. 2
  17. 16
  18. 27
  19. 26
  20. 21
  21. 35
  22. 15
  23. 24
  24. 23
  25. 21
  26. 37
  27. 27
  28. 30
  29. 5
  30. 64
  31. 18
  32. 20
  33. 24
  34. 243
  35. 34
  36. 32
  37. 96
  38. 54
  39. 29
  40. 13

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