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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 75 · 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? 4, 6, 9, 13, 18, ? (a) 23 (b) 26 (c) 24 (d) 25
  2. 2.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 192 (d) 193
  3. 3.What comes next? 16, 20, 19, 23, 22, 26, ? (a) 25 (b) 27 (c) 30 (d) 24
  4. 4.What comes next? 19, 27, 35, 43, 51, ? (a) 60 (b) 58 (c) 67 (d) 59
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 243 (d) 135
  6. 6.What comes next? 6, 15, 13, 22, 20, 29, ? (a) 27 (b) 38 (c) 26 (d) 31
  7. 7.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 180 (d) 144
  8. 8.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 40 (d) 32
  9. 9.What comes next? 7, 16, 14, 23, 21, 30, ? (a) 39 (b) 27 (c) 32 (d) 28
  10. 10.What comes next? 30, 39, 48, 57, 66, ? (a) 76 (b) 75 (c) 74 (d) 84
  11. 11.What comes next? 43, 36, 29, 22, 15, ? (a) 1 (b) 9 (c) 7 (d) 8
  12. 12.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 28 (c) 29 (d) 27
  13. 13.What comes next? 10, 13, 16, 19, 22, ? (a) 24 (b) 26 (c) 28 (d) 25
  14. 14.What comes next? 16, 27, 38, 49, 60, ? (a) 70 (b) 72 (c) 82 (d) 71
  15. 15.What comes next? 13, 15, 18, 22, 27, ? (a) 32 (b) 33 (c) 35 (d) 34
  16. 16.What comes next? 54, 45, 36, 27, 18, ? (a) 11 (b) 9 (c) 10 (d) 8
  17. 17.What comes next? 2, 4, 6, 8, 10, ? (a) 11 (b) 13 (c) 14 (d) 12
  18. 18.What comes next? 5, 7, 9, 11, 13, ? (a) 16 (b) 17 (c) 15 (d) 14
  19. 19.What comes next? 20, 27, 34, 41, 48, ? (a) 62 (b) 54 (c) 56 (d) 55
  20. 20.What comes next? 16, 25, 34, 43, 52, ? (a) 70 (b) 60 (c) 61 (d) 62
  21. 21.What comes next? 42, 35, 28, 21, 14, ? (a) 9 (b) 6 (c) 8 (d) 7
  22. 22.What comes next? 4, 7, 11, 16, 22, ? (a) 31 (b) 29 (c) 30 (d) 28
  23. 23.What comes next? 43, 35, 27, 19, 11, ? (a) 2 (b) 4 (c) 5 (d) 3
  24. 24.What comes next? 3, 4, 6, 9, 13, ? (a) 17 (b) 18 (c) 20 (d) 19
  25. 25.What comes next? 27, 37, 47, 57, 67, ? (a) 77 (b) 87 (c) 76 (d) 78
  26. 26.What comes next? 19, 22, 26, 31, 37, ? (a) 45 (b) 44 (c) 46 (d) 43
  27. 27.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 64 (c) 65 (d) 80
  28. 28.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 72 (d) 96
  29. 29.What comes next? 11, 15, 20, 26, 33, ? (a) 42 (b) 41 (c) 43 (d) 40
  30. 30.What comes next? 16, 25, 18, 27, 20, 29, ? (a) 36 (b) 38 (c) 21 (d) 22
  31. 31.What comes next? 11, 12, 14, 17, 21, ? (a) 25 (b) 28 (c) 27 (d) 26
  32. 32.What comes next? 9, 15, 10, 16, 11, 17, ? (a) 23 (b) 11 (c) 12 (d) 22
  33. 33.What comes next? 1, 3, 6, 10, 15, ? (a) 23 (b) 21 (c) 22 (d) 20
  34. 34.What comes next? 11, 22, 33, 44, 55, ? (a) 66 (b) 77 (c) 65 (d) 67
  35. 35.What comes next? 24, 31, 38, 45, 52, ? (a) 60 (b) 58 (c) 59 (d) 66
  36. 36.What comes next? 27, 25, 23, 21, 19, ? (a) 18 (b) 16 (c) 15 (d) 17
  37. 37.What comes next? 20, 21, 23, 26, 30, ? (a) 36 (b) 35 (c) 34 (d) 37
  38. 38.What comes next? 11, 13, 16, 20, 25, ? (a) 33 (b) 32 (c) 31 (d) 30
  39. 39.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 11 (b) 9 (c) 13 (d) 8
  40. 40.What comes next? 12, 23, 34, 45, 56, ? (a) 78 (b) 66 (c) 68 (d) 67

Answer key

  1. 24
  2. 192
  3. 25
  4. 59
  5. 243
  6. 27
  7. 162
  8. 32
  9. 28
  10. 75
  11. 8
  12. 27
  13. 25
  14. 71
  15. 33
  16. 9
  17. 12
  18. 15
  19. 55
  20. 61
  21. 7
  22. 29
  23. 3
  24. 18
  25. 77
  26. 44
  27. 64
  28. 96
  29. 41
  30. 22
  31. 26
  32. 12
  33. 21
  34. 66
  35. 59
  36. 17
  37. 35
  38. 31
  39. 9
  40. 67

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