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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 322 · 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) 162 (b) 90 (c) 144 (d) 180
  2. 2.What comes next? 10, 13, 17, 22, 28, ? (a) 37 (b) 34 (c) 36 (d) 35
  3. 3.What comes next? 42, 37, 32, 27, 22, ? (a) 12 (b) 16 (c) 17 (d) 18
  4. 4.What comes next? 23, 20, 17, 14, 11, ? (a) 5 (b) 9 (c) 8 (d) 7
  5. 5.What comes next? 28, 25, 22, 19, 16, ? (a) 12 (b) 10 (c) 14 (d) 13
  6. 6.What comes next? 6, 9, 13, 18, 24, ? (a) 33 (b) 32 (c) 30 (d) 31
  7. 7.What comes next? 25, 37, 49, 61, 73, ? (a) 84 (b) 85 (c) 97 (d) 86
  8. 8.What comes next? 62, 53, 44, 35, 26, ? (a) 18 (b) 17 (c) 16 (d) 8
  9. 9.What comes next? 3, 7, 4, 8, 5, 9, ? (a) 6 (b) 12 (c) 5 (d) 13
  10. 10.What comes next? 29, 36, 43, 50, 57, ? (a) 64 (b) 65 (c) 71 (d) 63
  11. 11.What comes next? 20, 23, 26, 29, 32, ? (a) 36 (b) 35 (c) 38 (d) 34
  12. 12.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 24 (d) 40
  13. 13.What comes next? 49, 45, 41, 37, 33, ? (a) 28 (b) 30 (c) 25 (d) 29
  14. 14.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 96 (c) 160 (d) 128
  15. 15.What comes next? 47, 43, 39, 35, 31, ? (a) 28 (b) 26 (c) 23 (d) 27
  16. 16.What comes next? 18, 26, 21, 29, 24, 32, ? (a) 26 (b) 37 (c) 27 (d) 40
  17. 17.What comes next? 2, 4, 7, 11, 16, ? (a) 22 (b) 23 (c) 24 (d) 21
  18. 18.What comes next? 4, 7, 5, 8, 6, 9, ? (a) 11 (b) 7 (c) 6 (d) 12
  19. 19.What comes next? 10, 14, 19, 25, 32, ? (a) 40 (b) 41 (c) 39 (d) 42
  20. 20.What comes next? 4, 15, 26, 37, 48, ? (a) 58 (b) 70 (c) 60 (d) 59
  21. 21.What comes next? 2, 8, 7, 13, 12, 18, ? (a) 19 (b) 16 (c) 24 (d) 17
  22. 22.What comes next? 1, 2, 4, 7, 11, ? (a) 16 (b) 18 (c) 17 (d) 15
  23. 23.What comes next? 10, 21, 32, 43, 54, ? (a) 65 (b) 66 (c) 64 (d) 76
  24. 24.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 15 (b) 11 (c) 10 (d) 13
  25. 25.What comes next? 7, 9, 12, 16, 21, ? (a) 28 (b) 29 (c) 27 (d) 26
  26. 26.What comes next? 11, 14, 18, 23, 29, ? (a) 36 (b) 35 (c) 38 (d) 37
  27. 27.What comes next? 6, 18, 30, 42, 54, ? (a) 67 (b) 78 (c) 66 (d) 65
  28. 28.What comes next? 19, 27, 20, 28, 21, 29, ? (a) 22 (b) 21 (c) 36 (d) 37
  29. 29.What comes next? 7, 14, 21, 28, 35, ? (a) 49 (b) 43 (c) 41 (d) 42
  30. 30.What comes next? 11, 18, 12, 19, 13, 20, ? (a) 14 (b) 13 (c) 26 (d) 27
  31. 31.What comes next? 13, 17, 22, 28, 35, ? (a) 43 (b) 45 (c) 44 (d) 42
  32. 32.What comes next? 2, 7, 3, 8, 4, 9, ? (a) 4 (b) 13 (c) 14 (d) 5
  33. 33.What comes next? 12, 15, 19, 24, 30, ? (a) 38 (b) 39 (c) 37 (d) 36
  34. 34.What comes next? 7, 13, 19, 25, 31, ? (a) 43 (b) 38 (c) 36 (d) 37
  35. 35.What comes next? 8, 11, 14, 17, 20, ? (a) 22 (b) 26 (c) 23 (d) 24
  36. 36.What comes next? 17, 21, 25, 29, 33, ? (a) 36 (b) 38 (c) 37 (d) 41
  37. 37.What comes next? 3, 9, 8, 14, 13, 19, ? (a) 25 (b) 17 (c) 18 (d) 20
  38. 38.What comes next? 7, 11, 16, 22, 29, ? (a) 36 (b) 39 (c) 38 (d) 37
  39. 39.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 160 (d) 161
  40. 40.What comes next? 46, 37, 28, 19, 10, ? (a) 2 (b) 1 (c) 3 (d) 4

Answer key

  1. 162
  2. 35
  3. 17
  4. 8
  5. 13
  6. 31
  7. 85
  8. 17
  9. 6
  10. 64
  11. 35
  12. 32
  13. 29
  14. 128
  15. 27
  16. 27
  17. 22
  18. 7
  19. 40
  20. 59
  21. 17
  22. 16
  23. 65
  24. 11
  25. 27
  26. 36
  27. 66
  28. 22
  29. 42
  30. 14
  31. 43
  32. 5
  33. 37
  34. 37
  35. 23
  36. 37
  37. 18
  38. 37
  39. 160
  40. 1

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