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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 170 · 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? 7, 10, 14, 19, 25, ? (a) 34 (b) 32 (c) 33 (d) 31
  2. 2.What comes next? 20, 23, 27, 32, 38, ? (a) 45 (b) 46 (c) 44 (d) 47
  3. 3.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 128 (d) 160
  4. 4.What comes next? 6, 9, 13, 18, 24, ? (a) 33 (b) 32 (c) 31 (d) 30
  5. 5.What comes next? 52, 43, 34, 25, 16, ? (a) 6 (b) 9 (c) 8 (d) 7
  6. 6.What comes next? 18, 27, 36, 45, 54, ? (a) 64 (b) 62 (c) 72 (d) 63
  7. 7.What comes next? 73, 64, 55, 46, 37, ? (a) 29 (b) 27 (c) 28 (d) 19
  8. 8.What comes next? 12, 20, 28, 36, 44, ? (a) 53 (b) 52 (c) 60 (d) 51
  9. 9.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  10. 10.What comes next? 18, 19, 21, 24, 28, ? (a) 34 (b) 33 (c) 32 (d) 35
  11. 11.What comes next? 9, 12, 16, 21, 27, ? (a) 33 (b) 36 (c) 35 (d) 34
  12. 12.What comes next? 18, 15, 12, 9, 6, ? (a) 5 (b) 3 (c) 4 (d) 2
  13. 13.What comes next? 13, 19, 25, 31, 37, ? (a) 42 (b) 44 (c) 49 (d) 43
  14. 14.What comes next? 1, 5, 3, 7, 5, 9, ? (a) 13 (b) 11 (c) 6 (d) 7
  15. 15.What comes next? 54, 46, 38, 30, 22, ? (a) 13 (b) 15 (c) 14 (d) 6
  16. 16.What comes next? 4, 9, 7, 12, 10, 15, ? (a) 12 (b) 17 (c) 13 (d) 20
  17. 17.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 33 (c) 32 (d) 24
  18. 18.What comes next? 10, 15, 14, 19, 18, 23, ? (a) 22 (b) 28 (c) 24 (d) 21
  19. 19.What comes next? 1, 7, 4, 10, 7, 13, ? (a) 16 (b) 19 (c) 9 (d) 10
  20. 20.What comes next? 28, 23, 18, 13, 8, ? (a) 5 (b) 2 (c) 4 (d) 3
  21. 21.What comes next? 75, 66, 57, 48, 39, ? (a) 29 (b) 31 (c) 21 (d) 30
  22. 22.What comes next? 13, 17, 21, 25, 29, ? (a) 34 (b) 37 (c) 33 (d) 32
  23. 23.What comes next? 35, 33, 31, 29, 27, ? (a) 24 (b) 26 (c) 25 (d) 23
  24. 24.What comes next? 11, 13, 16, 20, 25, ? (a) 30 (b) 33 (c) 31 (d) 32
  25. 25.What comes next? 18, 25, 23, 30, 28, 35, ? (a) 32 (b) 33 (c) 42 (d) 37
  26. 26.What comes next? 15, 19, 16, 20, 17, 21, ? (a) 24 (b) 25 (c) 17 (d) 18
  27. 27.What comes next? 4, 12, 20, 28, 36, ? (a) 52 (b) 44 (c) 45 (d) 43
  28. 28.What comes next? 2, 8, 14, 20, 26, ? (a) 38 (b) 31 (c) 32 (d) 33
  29. 29.What comes next? 33, 28, 23, 18, 13, ? (a) 9 (b) 7 (c) 8 (d) 3
  30. 30.What comes next? 13, 18, 23, 28, 33, ? (a) 38 (b) 39 (c) 37 (d) 43
  31. 31.What comes next? 18, 27, 26, 35, 34, 43, ? (a) 42 (b) 52 (c) 41 (d) 44
  32. 32.What comes next? 9, 10, 12, 15, 19, ? (a) 23 (b) 25 (c) 26 (d) 24
  33. 33.What comes next? 19, 21, 23, 25, 27, ? (a) 29 (b) 31 (c) 28 (d) 30
  34. 34.What comes next? 49, 42, 35, 28, 21, ? (a) 14 (b) 13 (c) 7 (d) 15
  35. 35.What comes next? 41, 33, 25, 17, 9, ? (a) 3 (b) 4 (c) 2 (d) 1
  36. 36.What comes next? 55, 46, 37, 28, 19, ? (a) 10 (b) 9 (c) 11 (d) 1
  37. 37.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 65 (d) 48
  38. 38.What comes next? 20, 23, 22, 25, 24, 27, ? (a) 28 (b) 30 (c) 25 (d) 26
  39. 39.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 26 (c) 27 (d) 25
  40. 40.What comes next? 38, 32, 26, 20, 14, ? (a) 7 (b) 8 (c) 9 (d) 2

Answer key

  1. 32
  2. 45
  3. 128
  4. 31
  5. 7
  6. 63
  7. 28
  8. 52
  9. 243
  10. 33
  11. 34
  12. 3
  13. 43
  14. 7
  15. 14
  16. 13
  17. 32
  18. 22
  19. 10
  20. 3
  21. 30
  22. 33
  23. 25
  24. 31
  25. 33
  26. 18
  27. 44
  28. 32
  29. 8
  30. 38
  31. 42
  32. 24
  33. 29
  34. 14
  35. 1
  36. 10
  37. 64
  38. 26
  39. 26
  40. 8

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