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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 545 · 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? 60, 52, 44, 36, 28, ? (a) 21 (b) 19 (c) 12 (d) 20
  2. 2.What comes next? 12, 15, 19, 24, 30, ? (a) 38 (b) 36 (c) 37 (d) 39
  3. 3.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 192 (d) 144
  4. 4.What comes next? 15, 19, 18, 22, 21, 25, ? (a) 23 (b) 29 (c) 24 (d) 26
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 135 (c) 216 (d) 270
  6. 6.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  7. 7.What comes next? 37, 34, 31, 28, 25, ? (a) 21 (b) 22 (c) 19 (d) 23
  8. 8.What comes next? 12, 19, 15, 22, 18, 25, ? (a) 20 (b) 29 (c) 21 (d) 32
  9. 9.What comes next? 16, 18, 21, 25, 30, ? (a) 36 (b) 35 (c) 37 (d) 38
  10. 10.What comes next? 33, 30, 27, 24, 21, ? (a) 19 (b) 15 (c) 17 (d) 18
  11. 11.What comes next? 42, 35, 28, 21, 14, ? (a) 7 (b) 8 (c) 9 (d) 6
  12. 12.What comes next? 59, 51, 43, 35, 27, ? (a) 20 (b) 11 (c) 18 (d) 19
  13. 13.What comes next? 2, 7, 12, 17, 22, ? (a) 28 (b) 32 (c) 27 (d) 26
  14. 14.What comes next? 17, 24, 31, 38, 45, ? (a) 52 (b) 51 (c) 59 (d) 53
  15. 15.What comes next? 46, 40, 34, 28, 22, ? (a) 17 (b) 15 (c) 16 (d) 10
  16. 16.What comes next? 8, 14, 11, 17, 14, 20, ? (a) 26 (b) 16 (c) 23 (d) 17
  17. 17.What comes next? 3, 11, 5, 13, 7, 15, ? (a) 8 (b) 9 (c) 21 (d) 23
  18. 18.What comes next? 11, 20, 17, 26, 23, 32, ? (a) 28 (b) 41 (c) 29 (d) 35
  19. 19.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 20 (c) 21 (d) 22
  20. 20.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 120 (d) 96
  21. 21.What comes next? 4, 10, 8, 14, 12, 18, ? (a) 20 (b) 24 (c) 16 (d) 15
  22. 22.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  23. 23.What comes next? 7, 14, 21, 28, 35, ? (a) 43 (b) 49 (c) 41 (d) 42
  24. 24.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 31 (c) 29 (d) 28
  25. 25.What comes next? 5, 9, 14, 20, 27, ? (a) 36 (b) 35 (c) 37 (d) 34
  26. 26.What comes next? 28, 24, 20, 16, 12, ? (a) 4 (b) 7 (c) 8 (d) 9
  27. 27.What comes next? 2, 9, 16, 23, 30, ? (a) 44 (b) 37 (c) 38 (d) 36
  28. 28.What comes next? 19, 21, 24, 28, 33, ? (a) 38 (b) 40 (c) 39 (d) 41
  29. 29.What comes next? 12, 14, 17, 21, 26, ? (a) 31 (b) 34 (c) 32 (d) 33
  30. 30.What comes next? 29, 31, 33, 35, 37, ? (a) 38 (b) 41 (c) 40 (d) 39
  31. 31.What comes next? 8, 12, 17, 23, 30, ? (a) 40 (b) 38 (c) 37 (d) 39
  32. 32.What comes next? 11, 15, 19, 23, 27, ? (a) 30 (b) 35 (c) 32 (d) 31
  33. 33.What comes next? 10, 12, 15, 19, 24, ? (a) 29 (b) 30 (c) 32 (d) 31
  34. 34.What comes next? 12, 16, 21, 27, 34, ? (a) 42 (b) 43 (c) 41 (d) 44
  35. 35.What comes next? 35, 33, 31, 29, 27, ? (a) 23 (b) 26 (c) 25 (d) 24
  36. 36.What comes next? 16, 20, 25, 31, 38, ? (a) 48 (b) 45 (c) 47 (d) 46
  37. 37.What comes next? 30, 40, 50, 60, 70, ? (a) 79 (b) 81 (c) 90 (d) 80
  38. 38.What comes next? 16, 13, 10, 7, 4, ? (a) 3 (b) 1 (c) 2 (d) 4
  39. 39.What comes next? 20, 28, 24, 32, 28, 36, ? (a) 32 (b) 31 (c) 40 (d) 44
  40. 40.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162

Answer key

  1. 20
  2. 37
  3. 192
  4. 24
  5. 243
  6. 81
  7. 22
  8. 21
  9. 36
  10. 18
  11. 7
  12. 19
  13. 27
  14. 52
  15. 16
  16. 17
  17. 9
  18. 29
  19. 20
  20. 96
  21. 16
  22. 64
  23. 42
  24. 29
  25. 35
  26. 8
  27. 37
  28. 39
  29. 32
  30. 39
  31. 38
  32. 31
  33. 30
  34. 42
  35. 25
  36. 46
  37. 80
  38. 1
  39. 32
  40. 162

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