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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 405 · 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? 11, 20, 17, 26, 23, 32, ? (a) 29 (b) 35 (c) 41 (d) 28
  2. 2.What comes next? 14, 17, 20, 23, 26, ? (a) 30 (b) 28 (c) 29 (d) 32
  3. 3.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 193 (d) 192
  4. 4.What comes next? 7, 11, 9, 13, 11, 15, ? (a) 13 (b) 17 (c) 19 (d) 12
  5. 5.What comes next? 65, 57, 49, 41, 33, ? (a) 24 (b) 26 (c) 17 (d) 25
  6. 6.What comes next? 17, 21, 26, 32, 39, ? (a) 48 (b) 49 (c) 47 (d) 46
  7. 7.What comes next? 22, 24, 26, 28, 30, ? (a) 31 (b) 32 (c) 33 (d) 34
  8. 8.What comes next? 20, 21, 23, 26, 30, ? (a) 34 (b) 36 (c) 35 (d) 37
  9. 9.What comes next? 5, 12, 11, 18, 17, 24, ? (a) 23 (b) 25 (c) 22 (d) 31
  10. 10.What comes next? 25, 37, 49, 61, 73, ? (a) 97 (b) 85 (c) 84 (d) 86
  11. 11.What comes next? 34, 29, 24, 19, 14, ? (a) 9 (b) 10 (c) 8 (d) 4
  12. 12.What comes next? 7, 8, 10, 13, 17, ? (a) 24 (b) 23 (c) 22 (d) 21
  13. 13.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  14. 14.What comes next? 18, 23, 28, 33, 38, ? (a) 44 (b) 48 (c) 42 (d) 43
  15. 15.What comes next? 27, 24, 21, 18, 15, ? (a) 9 (b) 13 (c) 11 (d) 12
  16. 16.What comes next? 15, 17, 20, 24, 29, ? (a) 37 (b) 36 (c) 34 (d) 35
  17. 17.What comes next? 11, 9, 7, 5, 3, ? (a) 3 (b) 2 (c) 4 (d) 1
  18. 18.What comes next? 21, 26, 31, 36, 41, ? (a) 51 (b) 45 (c) 46 (d) 47
  19. 19.What comes next? 61, 54, 47, 40, 33, ? (a) 27 (b) 26 (c) 25 (d) 19
  20. 20.What comes next? 18, 27, 36, 45, 54, ? (a) 62 (b) 63 (c) 72 (d) 64
  21. 21.What comes next? 39, 33, 27, 21, 15, ? (a) 10 (b) 9 (c) 3 (d) 8
  22. 22.What comes next? 13, 20, 27, 34, 41, ? (a) 49 (b) 55 (c) 48 (d) 47
  23. 23.What comes next? 17, 24, 22, 29, 27, 34, ? (a) 41 (b) 36 (c) 32 (d) 31
  24. 24.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 64 (c) 65 (d) 48
  25. 25.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 120 (d) 96
  26. 26.What comes next? 8, 10, 13, 17, 22, ? (a) 28 (b) 29 (c) 27 (d) 30
  27. 27.What comes next? 38, 31, 24, 17, 10, ? (a) 4 (b) 5 (c) 3 (d) 2
  28. 28.What comes next? 7, 11, 15, 19, 23, ? (a) 26 (b) 28 (c) 27 (d) 31
  29. 29.What comes next? 18, 19, 21, 24, 28, ? (a) 35 (b) 32 (c) 34 (d) 33
  30. 30.What comes next? 16, 17, 19, 22, 26, ? (a) 30 (b) 33 (c) 32 (d) 31
  31. 31.What comes next? 13, 20, 19, 26, 25, 32, ? (a) 39 (b) 30 (c) 31 (d) 33
  32. 32.What comes next? 16, 19, 23, 28, 34, ? (a) 42 (b) 43 (c) 41 (d) 40
  33. 33.What comes next? 6, 13, 12, 19, 18, 25, ? (a) 23 (b) 26 (c) 32 (d) 24
  34. 34.What comes next? 20, 24, 28, 32, 36, ? (a) 44 (b) 41 (c) 40 (d) 39
  35. 35.What comes next? 23, 20, 17, 14, 11, ? (a) 5 (b) 8 (c) 9 (d) 7
  36. 36.What comes next? 38, 36, 34, 32, 30, ? (a) 29 (b) 27 (c) 26 (d) 28
  37. 37.What comes next? 18, 22, 27, 33, 40, ? (a) 47 (b) 48 (c) 50 (d) 49
  38. 38.What comes next? 56, 48, 40, 32, 24, ? (a) 17 (b) 8 (c) 16 (d) 15
  39. 39.What comes next? 15, 23, 16, 24, 17, 25, ? (a) 18 (b) 17 (c) 33 (d) 32
  40. 40.What comes next? 16, 26, 36, 46, 56, ? (a) 65 (b) 67 (c) 76 (d) 66

Answer key

  1. 29
  2. 29
  3. 192
  4. 13
  5. 25
  6. 47
  7. 32
  8. 35
  9. 23
  10. 85
  11. 9
  12. 22
  13. 162
  14. 43
  15. 12
  16. 35
  17. 1
  18. 46
  19. 26
  20. 63
  21. 9
  22. 48
  23. 32
  24. 64
  25. 96
  26. 28
  27. 3
  28. 27
  29. 33
  30. 31
  31. 31
  32. 41
  33. 24
  34. 40
  35. 8
  36. 28
  37. 48
  38. 16
  39. 18
  40. 66

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