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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 58 · 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? 3, 9, 4, 10, 5, 11, ? (a) 17 (b) 16 (c) 6 (d) 5
  2. 2.What comes next? 55, 49, 43, 37, 31, ? (a) 19 (b) 25 (c) 26 (d) 24
  3. 3.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 160 (d) 200
  4. 4.What comes next? 43, 40, 37, 34, 31, ? (a) 25 (b) 28 (c) 27 (d) 29
  5. 5.What comes next? 11, 15, 19, 23, 27, ? (a) 32 (b) 35 (c) 31 (d) 30
  6. 6.What comes next? 13, 24, 35, 46, 57, ? (a) 68 (b) 67 (c) 79 (d) 69
  7. 7.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 9 (b) 11 (c) 7 (d) 6
  8. 8.What comes next? 16, 20, 25, 31, 38, ? (a) 45 (b) 48 (c) 47 (d) 46
  9. 9.What comes next? 2, 6, 11, 17, 24, ? (a) 31 (b) 32 (c) 33 (d) 34
  10. 10.What comes next? 6, 9, 13, 18, 24, ? (a) 32 (b) 31 (c) 30 (d) 33
  11. 11.What comes next? 41, 36, 31, 26, 21, ? (a) 11 (b) 17 (c) 15 (d) 16
  12. 12.What comes next? 19, 31, 43, 55, 67, ? (a) 79 (b) 78 (c) 91 (d) 80
  13. 13.What comes next? 19, 26, 20, 27, 21, 28, ? (a) 22 (b) 34 (c) 21 (d) 35
  14. 14.What comes next? 2, 10, 18, 26, 34, ? (a) 43 (b) 50 (c) 41 (d) 42
  15. 15.What comes next? 11, 17, 12, 18, 13, 19, ? (a) 24 (b) 14 (c) 13 (d) 25
  16. 16.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 48 (d) 80
  17. 17.What comes next? 20, 26, 24, 30, 28, 34, ? (a) 31 (b) 40 (c) 36 (d) 32
  18. 18.What comes next? 66, 57, 48, 39, 30, ? (a) 12 (b) 22 (c) 21 (d) 20
  19. 19.What comes next? 26, 21, 16, 11, 6, ? (a) 2 (b) 3 (c) 1 (d) 4
  20. 20.What comes next? 42, 36, 30, 24, 18, ? (a) 11 (b) 13 (c) 6 (d) 12
  21. 21.What comes next? 6, 18, 30, 42, 54, ? (a) 78 (b) 66 (c) 67 (d) 65
  22. 22.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 96 (d) 120
  23. 23.What comes next? 46, 39, 32, 25, 18, ? (a) 4 (b) 10 (c) 11 (d) 12
  24. 24.What comes next? 9, 12, 11, 14, 13, 16, ? (a) 15 (b) 14 (c) 19 (d) 17
  25. 25.What comes next? 16, 19, 17, 20, 18, 21, ? (a) 18 (b) 23 (c) 24 (d) 19
  26. 26.What comes next? 7, 12, 17, 22, 27, ? (a) 32 (b) 33 (c) 37 (d) 31
  27. 27.What comes next? 7, 14, 13, 20, 19, 26, ? (a) 27 (b) 33 (c) 25 (d) 24
  28. 28.What comes next? 13, 23, 33, 43, 53, ? (a) 73 (b) 62 (c) 64 (d) 63
  29. 29.What comes next? 18, 22, 20, 24, 22, 26, ? (a) 30 (b) 23 (c) 24 (d) 28
  30. 30.What comes next? 23, 21, 19, 17, 15, ? (a) 13 (b) 11 (c) 14 (d) 12
  31. 31.What comes next? 19, 25, 24, 30, 29, 35, ? (a) 34 (b) 36 (c) 41 (d) 33
  32. 32.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 27 (c) 24 (d) 25
  33. 33.What comes next? 8, 10, 12, 14, 16, ? (a) 19 (b) 17 (c) 18 (d) 20
  34. 34.What comes next? 18, 20, 23, 27, 32, ? (a) 40 (b) 39 (c) 37 (d) 38
  35. 35.What comes next? 17, 21, 20, 24, 23, 27, ? (a) 28 (b) 25 (c) 31 (d) 26
  36. 36.What comes next? 13, 14, 16, 19, 23, ? (a) 28 (b) 30 (c) 27 (d) 29
  37. 37.What comes next? 5, 9, 7, 11, 9, 13, ? (a) 10 (b) 11 (c) 17 (d) 15
  38. 38.What comes next? 12, 16, 13, 17, 14, 18, ? (a) 14 (b) 21 (c) 15 (d) 22
  39. 39.What comes next? 1, 3, 6, 10, 15, ? (a) 23 (b) 21 (c) 20 (d) 22
  40. 40.What comes next? 12, 16, 21, 27, 34, ? (a) 43 (b) 44 (c) 42 (d) 41

Answer key

  1. 6
  2. 25
  3. 160
  4. 28
  5. 31
  6. 68
  7. 7
  8. 46
  9. 32
  10. 31
  11. 16
  12. 79
  13. 22
  14. 42
  15. 14
  16. 64
  17. 32
  18. 21
  19. 1
  20. 12
  21. 66
  22. 96
  23. 11
  24. 15
  25. 19
  26. 32
  27. 25
  28. 63
  29. 24
  30. 13
  31. 34
  32. 25
  33. 18
  34. 38
  35. 26
  36. 28
  37. 11
  38. 15
  39. 21
  40. 42

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