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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 428 · 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? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 162 (d) 144
  2. 2.What comes next? 3, 12, 10, 19, 17, 26, ? (a) 23 (b) 24 (c) 35 (d) 28
  3. 3.What comes next? 11, 9, 7, 5, 3, ? (a) 3 (b) 4 (c) 2 (d) 1
  4. 4.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 32 (d) 40
  5. 5.What comes next? 2, 5, 9, 14, 20, ? (a) 27 (b) 28 (c) 26 (d) 29
  6. 6.What comes next? 11, 14, 13, 16, 15, 18, ? (a) 19 (b) 16 (c) 21 (d) 17
  7. 7.What comes next? 25, 35, 45, 55, 65, ? (a) 75 (b) 76 (c) 74 (d) 85
  8. 8.What comes next? 51, 44, 37, 30, 23, ? (a) 17 (b) 9 (c) 15 (d) 16
  9. 9.What comes next? 11, 23, 35, 47, 59, ? (a) 83 (b) 72 (c) 70 (d) 71
  10. 10.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  11. 11.What comes next? 5, 9, 13, 17, 21, ? (a) 25 (b) 24 (c) 29 (d) 26
  12. 12.What comes next? 1, 2, 4, 7, 11, ? (a) 15 (b) 16 (c) 17 (d) 18
  13. 13.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 81 (c) 90 (d) 72
  14. 14.What comes next? 10, 18, 15, 23, 20, 28, ? (a) 36 (b) 25 (c) 31 (d) 24
  15. 15.What comes next? 25, 22, 19, 16, 13, ? (a) 7 (b) 11 (c) 9 (d) 10
  16. 16.What comes next? 12, 21, 19, 28, 26, 35, ? (a) 37 (b) 33 (c) 44 (d) 32
  17. 17.What comes next? 25, 30, 35, 40, 45, ? (a) 50 (b) 51 (c) 55 (d) 49
  18. 18.What comes next? 11, 17, 14, 20, 17, 23, ? (a) 20 (b) 19 (c) 26 (d) 29
  19. 19.What comes next? 6, 9, 13, 18, 24, ? (a) 33 (b) 31 (c) 32 (d) 30
  20. 20.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 10 (b) 13 (c) 11 (d) 15
  21. 21.What comes next? 65, 56, 47, 38, 29, ? (a) 21 (b) 11 (c) 19 (d) 20
  22. 22.What comes next? 8, 14, 11, 17, 14, 20, ? (a) 23 (b) 26 (c) 17 (d) 16
  23. 23.What comes next? 19, 22, 26, 31, 37, ? (a) 46 (b) 43 (c) 45 (d) 44
  24. 24.What comes next? 3, 11, 4, 12, 5, 13, ? (a) 21 (b) 5 (c) 20 (d) 6
  25. 25.What comes next? 13, 17, 21, 25, 29, ? (a) 32 (b) 33 (c) 34 (d) 37
  26. 26.What comes next? 12, 15, 19, 24, 30, ? (a) 38 (b) 39 (c) 36 (d) 37
  27. 27.What comes next? 2, 9, 16, 23, 30, ? (a) 37 (b) 38 (c) 36 (d) 44
  28. 28.What comes next? 7, 9, 11, 13, 15, ? (a) 18 (b) 16 (c) 19 (d) 17
  29. 29.What comes next? 22, 26, 30, 34, 38, ? (a) 42 (b) 46 (c) 41 (d) 43
  30. 30.What comes next? 24, 35, 46, 57, 68, ? (a) 90 (b) 78 (c) 79 (d) 80
  31. 31.What comes next? 44, 37, 30, 23, 16, ? (a) 2 (b) 9 (c) 8 (d) 10
  32. 32.What comes next? 2, 14, 26, 38, 50, ? (a) 63 (b) 62 (c) 61 (d) 74
  33. 33.What comes next? 1, 9, 2, 10, 3, 11, ? (a) 18 (b) 4 (c) 19 (d) 3
  34. 34.What comes next? 13, 18, 14, 19, 15, 20, ? (a) 24 (b) 16 (c) 15 (d) 25
  35. 35.What comes next? 20, 28, 23, 31, 26, 34, ? (a) 39 (b) 29 (c) 28 (d) 42
  36. 36.What comes next? 2, 8, 6, 12, 10, 16, ? (a) 18 (b) 22 (c) 13 (d) 14
  37. 37.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 128 (d) 96
  38. 38.What comes next? 54, 48, 42, 36, 30, ? (a) 18 (b) 25 (c) 24 (d) 23
  39. 39.What comes next? 13, 19, 17, 23, 21, 27, ? (a) 25 (b) 29 (c) 24 (d) 33
  40. 40.What comes next? 5, 9, 14, 20, 27, ? (a) 37 (b) 35 (c) 36 (d) 34

Answer key

  1. 162
  2. 24
  3. 1
  4. 32
  5. 27
  6. 17
  7. 75
  8. 16
  9. 71
  10. 243
  11. 25
  12. 16
  13. 81
  14. 25
  15. 10
  16. 33
  17. 50
  18. 20
  19. 31
  20. 11
  21. 20
  22. 17
  23. 44
  24. 6
  25. 33
  26. 37
  27. 37
  28. 17
  29. 42
  30. 79
  31. 9
  32. 62
  33. 4
  34. 16
  35. 29
  36. 14
  37. 128
  38. 24
  39. 25
  40. 35

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