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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 480 · 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) 162 (c) 144 (d) 180
  2. 2.What comes next? 14, 20, 19, 25, 24, 30, ? (a) 29 (b) 28 (c) 36 (d) 31
  3. 3.What comes next? 1, 9, 6, 14, 11, 19, ? (a) 22 (b) 16 (c) 15 (d) 27
  4. 4.What comes next? 11, 14, 13, 16, 15, 18, ? (a) 17 (b) 21 (c) 19 (d) 16
  5. 5.What comes next? 4, 16, 28, 40, 52, ? (a) 64 (b) 76 (c) 63 (d) 65
  6. 6.What comes next? 13, 21, 15, 23, 17, 25, ? (a) 31 (b) 33 (c) 18 (d) 19
  7. 7.What comes next? 35, 33, 31, 29, 27, ? (a) 26 (b) 25 (c) 24 (d) 23
  8. 8.What comes next? 10, 13, 16, 19, 22, ? (a) 26 (b) 24 (c) 25 (d) 28
  9. 9.What comes next? 13, 18, 14, 19, 15, 20, ? (a) 25 (b) 16 (c) 15 (d) 24
  10. 10.What comes next? 9, 13, 10, 14, 11, 15, ? (a) 18 (b) 11 (c) 12 (d) 19
  11. 11.What comes next? 59, 53, 47, 41, 35, ? (a) 30 (b) 23 (c) 29 (d) 28
  12. 12.What comes next? 39, 32, 25, 18, 11, ? (a) 3 (b) 5 (c) 6 (d) 4
  13. 13.What comes next? 18, 19, 21, 24, 28, ? (a) 35 (b) 32 (c) 33 (d) 34
  14. 14.What comes next? 11, 15, 12, 16, 13, 17, ? (a) 13 (b) 14 (c) 21 (d) 20
  15. 15.What comes next? 9, 18, 16, 25, 23, 32, ? (a) 34 (b) 41 (c) 30 (d) 29
  16. 16.What comes next? 6, 10, 15, 21, 28, ? (a) 38 (b) 36 (c) 35 (d) 37
  17. 17.What comes next? 17, 23, 19, 25, 21, 27, ? (a) 22 (b) 31 (c) 23 (d) 33
  18. 18.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 12 (b) 14 (c) 11 (d) 16
  19. 19.What comes next? 19, 28, 37, 46, 55, ? (a) 73 (b) 65 (c) 63 (d) 64
  20. 20.What comes next? 10, 12, 15, 19, 24, ? (a) 32 (b) 30 (c) 29 (d) 31
  21. 21.What comes next? 24, 20, 16, 12, 8, ? (a) 3 (b) 4 (c) 5 (d) 6
  22. 22.What comes next? 51, 44, 37, 30, 23, ? (a) 16 (b) 9 (c) 17 (d) 15
  23. 23.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 18 (c) 17 (d) 16
  24. 24.What comes next? 21, 32, 43, 54, 65, ? (a) 87 (b) 76 (c) 77 (d) 75
  25. 25.What comes next? 14, 26, 38, 50, 62, ? (a) 75 (b) 74 (c) 86 (d) 73
  26. 26.What comes next? 23, 21, 19, 17, 15, ? (a) 12 (b) 14 (c) 13 (d) 11
  27. 27.What comes next? 15, 16, 18, 21, 25, ? (a) 31 (b) 29 (c) 32 (d) 30
  28. 28.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 90 (d) 45
  29. 29.What comes next? 1, 8, 3, 10, 5, 12, ? (a) 6 (b) 7 (c) 19 (d) 17
  30. 30.What comes next? 13, 18, 16, 21, 19, 24, ? (a) 21 (b) 29 (c) 26 (d) 22
  31. 31.What comes next? 14, 24, 34, 44, 54, ? (a) 63 (b) 65 (c) 74 (d) 64
  32. 32.What comes next? 10, 14, 11, 15, 12, 16, ? (a) 19 (b) 20 (c) 13 (d) 12
  33. 33.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 10 (b) 9 (c) 4 (d) 5
  34. 34.What comes next? 47, 40, 33, 26, 19, ? (a) 12 (b) 13 (c) 11 (d) 5
  35. 35.What comes next? 28, 24, 20, 16, 12, ? (a) 4 (b) 9 (c) 8 (d) 7
  36. 36.What comes next? 47, 41, 35, 29, 23, ? (a) 16 (b) 18 (c) 17 (d) 11
  37. 37.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 33 (c) 24 (d) 32
  38. 38.What comes next? 16, 24, 22, 30, 28, 36, ? (a) 33 (b) 44 (c) 34 (d) 38
  39. 39.What comes next? 56, 49, 42, 35, 28, ? (a) 22 (b) 14 (c) 21 (d) 20
  40. 40.What comes next? 20, 22, 24, 26, 28, ? (a) 29 (b) 31 (c) 30 (d) 32

Answer key

  1. 162
  2. 29
  3. 16
  4. 17
  5. 64
  6. 19
  7. 25
  8. 25
  9. 16
  10. 12
  11. 29
  12. 4
  13. 33
  14. 14
  15. 30
  16. 36
  17. 23
  18. 12
  19. 64
  20. 30
  21. 4
  22. 16
  23. 17
  24. 76
  25. 74
  26. 13
  27. 30
  28. 81
  29. 7
  30. 22
  31. 64
  32. 13
  33. 5
  34. 12
  35. 8
  36. 17
  37. 32
  38. 34
  39. 21
  40. 30

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