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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 252 · 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? 51, 43, 35, 27, 19, ? (a) 10 (b) 12 (c) 11 (d) 3
  2. 2.What comes next? 15, 16, 18, 21, 25, ? (a) 29 (b) 32 (c) 31 (d) 30
  3. 3.What comes next? 12, 16, 21, 27, 34, ? (a) 43 (b) 44 (c) 41 (d) 42
  4. 4.What comes next? 10, 16, 11, 17, 12, 18, ? (a) 13 (b) 23 (c) 24 (d) 12
  5. 5.What comes next? 47, 42, 37, 32, 27, ? (a) 23 (b) 22 (c) 21 (d) 17
  6. 6.What comes next? 15, 21, 20, 26, 25, 31, ? (a) 30 (b) 29 (c) 32 (d) 37
  7. 7.What comes next? 4, 8, 13, 19, 26, ? (a) 33 (b) 34 (c) 36 (d) 35
  8. 8.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 40 (d) 24
  9. 9.What comes next? 14, 21, 15, 22, 16, 23, ? (a) 16 (b) 17 (c) 29 (d) 30
  10. 10.What comes next? 17, 26, 22, 31, 27, 36, ? (a) 31 (b) 32 (c) 40 (d) 45
  11. 11.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  12. 12.What comes next? 11, 12, 14, 17, 21, ? (a) 27 (b) 26 (c) 28 (d) 25
  13. 13.What comes next? 5, 10, 6, 11, 7, 12, ? (a) 7 (b) 16 (c) 17 (d) 8
  14. 14.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 15 (b) 11 (c) 10 (d) 13
  15. 15.What comes next? 20, 31, 42, 53, 64, ? (a) 75 (b) 76 (c) 74 (d) 86
  16. 16.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 35 (c) 36 (d) 34
  17. 17.What comes next? 39, 35, 31, 27, 23, ? (a) 15 (b) 19 (c) 20 (d) 18
  18. 18.What comes next? 13, 18, 15, 20, 17, 22, ? (a) 25 (b) 18 (c) 27 (d) 19
  19. 19.What comes next? 10, 11, 13, 16, 20, ? (a) 27 (b) 25 (c) 26 (d) 24
  20. 20.What comes next? 12, 16, 13, 17, 14, 18, ? (a) 15 (b) 14 (c) 22 (d) 21
  21. 21.What comes next? 22, 30, 38, 46, 54, ? (a) 70 (b) 63 (c) 62 (d) 61
  22. 22.What comes next? 8, 11, 15, 20, 26, ? (a) 35 (b) 34 (c) 33 (d) 32
  23. 23.What comes next? 5, 8, 6, 9, 7, 10, ? (a) 12 (b) 8 (c) 13 (d) 7
  24. 24.What comes next? 30, 26, 22, 18, 14, ? (a) 9 (b) 11 (c) 10 (d) 6
  25. 25.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 120 (d) 96
  26. 26.What comes next? 4, 14, 24, 34, 44, ? (a) 55 (b) 64 (c) 53 (d) 54
  27. 27.What comes next? 21, 18, 15, 12, 9, ? (a) 3 (b) 7 (c) 6 (d) 5
  28. 28.What comes next? 16, 14, 12, 10, 8, ? (a) 4 (b) 5 (c) 7 (d) 6
  29. 29.What comes next? 13, 17, 14, 18, 15, 19, ? (a) 23 (b) 15 (c) 22 (d) 16
  30. 30.What comes next? 9, 18, 15, 24, 21, 30, ? (a) 26 (b) 39 (c) 27 (d) 33
  31. 31.What comes next? 15, 17, 20, 24, 29, ? (a) 36 (b) 34 (c) 35 (d) 37
  32. 32.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 64 (d) 65
  33. 33.What comes next? 16, 20, 25, 31, 38, ? (a) 46 (b) 47 (c) 45 (d) 48
  34. 34.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 200 (c) 161 (d) 120
  35. 35.What comes next? 13, 24, 35, 46, 57, ? (a) 68 (b) 69 (c) 79 (d) 67
  36. 36.What comes next? 64, 57, 50, 43, 36, ? (a) 22 (b) 30 (c) 29 (d) 28
  37. 37.What comes next? 34, 30, 26, 22, 18, ? (a) 10 (b) 15 (c) 13 (d) 14
  38. 38.What comes next? 44, 40, 36, 32, 28, ? (a) 20 (b) 25 (c) 23 (d) 24
  39. 39.What comes next? 3, 4, 6, 9, 13, ? (a) 18 (b) 19 (c) 17 (d) 20
  40. 40.What comes next? 18, 21, 25, 30, 36, ? (a) 42 (b) 44 (c) 43 (d) 45

Answer key

  1. 11
  2. 30
  3. 42
  4. 13
  5. 22
  6. 30
  7. 34
  8. 32
  9. 17
  10. 32
  11. 81
  12. 26
  13. 8
  14. 11
  15. 75
  16. 34
  17. 19
  18. 19
  19. 25
  20. 15
  21. 62
  22. 33
  23. 8
  24. 10
  25. 96
  26. 54
  27. 6
  28. 6
  29. 16
  30. 27
  31. 35
  32. 64
  33. 46
  34. 160
  35. 68
  36. 29
  37. 14
  38. 24
  39. 18
  40. 43

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