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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 85 · 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? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 144 (d) 192
  2. 2.What comes next? 2, 7, 4, 9, 6, 11, ? (a) 16 (b) 14 (c) 7 (d) 8
  3. 3.What comes next? 20, 23, 22, 25, 24, 27, ? (a) 25 (b) 26 (c) 28 (d) 30
  4. 4.What comes next? 18, 27, 36, 45, 54, ? (a) 63 (b) 72 (c) 64 (d) 62
  5. 5.What comes next? 45, 40, 35, 30, 25, ? (a) 19 (b) 21 (c) 15 (d) 20
  6. 6.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  7. 7.What comes next? 34, 29, 24, 19, 14, ? (a) 9 (b) 4 (c) 10 (d) 8
  8. 8.What comes next? 1, 8, 3, 10, 5, 12, ? (a) 7 (b) 17 (c) 19 (d) 6
  9. 9.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  10. 10.What comes next? 4, 5, 7, 10, 14, ? (a) 18 (b) 21 (c) 20 (d) 19
  11. 11.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 160 (c) 200 (d) 120
  12. 12.What comes next? 8, 16, 13, 21, 18, 26, ? (a) 34 (b) 22 (c) 29 (d) 23
  13. 13.What comes next? 10, 15, 20, 25, 30, ? (a) 40 (b) 36 (c) 35 (d) 34
  14. 14.What comes next? 1, 5, 10, 16, 23, ? (a) 33 (b) 31 (c) 32 (d) 30
  15. 15.What comes next? 27, 25, 23, 21, 19, ? (a) 15 (b) 18 (c) 16 (d) 17
  16. 16.What comes next? 8, 15, 22, 29, 36, ? (a) 43 (b) 42 (c) 44 (d) 50
  17. 17.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 7 (b) 10 (c) 8 (d) 12
  18. 18.What comes next? 2, 8, 4, 10, 6, 12, ? (a) 16 (b) 7 (c) 8 (d) 18
  19. 19.What comes next? 10, 14, 19, 25, 32, ? (a) 41 (b) 39 (c) 40 (d) 42
  20. 20.What comes next? 61, 53, 45, 37, 29, ? (a) 21 (b) 22 (c) 20 (d) 13
  21. 21.What comes next? 3, 4, 6, 9, 13, ? (a) 19 (b) 20 (c) 17 (d) 18
  22. 22.What comes next? 53, 44, 35, 26, 17, ? (a) 7 (b) 9 (c) 10 (d) 8
  23. 23.What comes next? 37, 35, 33, 31, 29, ? (a) 28 (b) 27 (c) 25 (d) 26
  24. 24.What comes next? 15, 16, 18, 21, 25, ? (a) 31 (b) 32 (c) 30 (d) 29
  25. 25.What comes next? 6, 8, 11, 15, 20, ? (a) 28 (b) 26 (c) 25 (d) 27
  26. 26.What comes next? 14, 21, 19, 26, 24, 31, ? (a) 38 (b) 29 (c) 33 (d) 28
  27. 27.What comes next? 24, 26, 28, 30, 32, ? (a) 36 (b) 35 (c) 33 (d) 34
  28. 28.What comes next? 10, 11, 13, 16, 20, ? (a) 25 (b) 24 (c) 26 (d) 27
  29. 29.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 129 (d) 128
  30. 30.What comes next? 3, 12, 21, 30, 39, ? (a) 48 (b) 49 (c) 57 (d) 47
  31. 31.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 44 (c) 41 (d) 42
  32. 32.What comes next? 6, 17, 28, 39, 50, ? (a) 72 (b) 61 (c) 60 (d) 62
  33. 33.What comes next? 7, 14, 21, 28, 35, ? (a) 49 (b) 43 (c) 42 (d) 41
  34. 34.What comes next? 14, 16, 18, 20, 22, ? (a) 25 (b) 26 (c) 24 (d) 23
  35. 35.What comes next? 1, 4, 8, 13, 19, ? (a) 27 (b) 25 (c) 28 (d) 26
  36. 36.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 90 (d) 45
  37. 37.What comes next? 8, 12, 16, 20, 24, ? (a) 28 (b) 29 (c) 27 (d) 32
  38. 38.What comes next? 45, 42, 39, 36, 33, ? (a) 31 (b) 29 (c) 27 (d) 30
  39. 39.What comes next? 12, 10, 8, 6, 4, ? (a) 2 (b) 3 (c) 1 (d) 4
  40. 40.What comes next? 7, 11, 15, 19, 23, ? (a) 28 (b) 26 (c) 31 (d) 27

Answer key

  1. 192
  2. 8
  3. 26
  4. 63
  5. 20
  6. 243
  7. 9
  8. 7
  9. 64
  10. 19
  11. 160
  12. 23
  13. 35
  14. 31
  15. 17
  16. 43
  17. 8
  18. 8
  19. 40
  20. 21
  21. 18
  22. 8
  23. 27
  24. 30
  25. 26
  26. 29
  27. 34
  28. 25
  29. 128
  30. 48
  31. 42
  32. 61
  33. 42
  34. 24
  35. 26
  36. 81
  37. 28
  38. 30
  39. 2
  40. 27

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