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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 488 · 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? 9, 17, 25, 33, 41, ? (a) 50 (b) 48 (c) 57 (d) 49
  2. 2.What comes next? 20, 25, 30, 35, 40, ? (a) 46 (b) 45 (c) 44 (d) 50
  3. 3.What comes next? 18, 22, 26, 30, 34, ? (a) 38 (b) 42 (c) 39 (d) 37
  4. 4.What comes next? 58, 52, 46, 40, 34, ? (a) 22 (b) 29 (c) 28 (d) 27
  5. 5.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 5 (b) 4 (c) 9 (d) 10
  6. 6.What comes next? 18, 15, 12, 9, 6, ? (a) 2 (b) 5 (c) 4 (d) 3
  7. 7.What comes next? 1, 8, 5, 12, 9, 16, ? (a) 12 (b) 19 (c) 23 (d) 13
  8. 8.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 144 (d) 192
  9. 9.What comes next? 7, 13, 19, 25, 31, ? (a) 38 (b) 36 (c) 43 (d) 37
  10. 10.What comes next? 69, 61, 53, 45, 37, ? (a) 21 (b) 30 (c) 29 (d) 28
  11. 11.What comes next? 7, 12, 9, 14, 11, 16, ? (a) 13 (b) 19 (c) 12 (d) 21
  12. 12.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 243 (d) 135
  13. 13.What comes next? 11, 13, 16, 20, 25, ? (a) 30 (b) 32 (c) 31 (d) 33
  14. 14.What comes next? 5, 17, 29, 41, 53, ? (a) 77 (b) 66 (c) 64 (d) 65
  15. 15.What comes next? 11, 15, 13, 17, 15, 19, ? (a) 23 (b) 21 (c) 16 (d) 17
  16. 16.What comes next? 32, 29, 26, 23, 20, ? (a) 17 (b) 16 (c) 18 (d) 14
  17. 17.What comes next? 34, 29, 24, 19, 14, ? (a) 9 (b) 4 (c) 8 (d) 10
  18. 18.What comes next? 14, 17, 20, 23, 26, ? (a) 28 (b) 29 (c) 32 (d) 30
  19. 19.What comes next? 15, 13, 11, 9, 7, ? (a) 3 (b) 5 (c) 6 (d) 4
  20. 20.What comes next? 53, 46, 39, 32, 25, ? (a) 18 (b) 17 (c) 19 (d) 11
  21. 21.What comes next? 16, 17, 19, 22, 26, ? (a) 33 (b) 31 (c) 32 (d) 30
  22. 22.What comes next? 30, 39, 48, 57, 66, ? (a) 84 (b) 75 (c) 74 (d) 76
  23. 23.What comes next? 13, 15, 18, 22, 27, ? (a) 32 (b) 34 (c) 33 (d) 35
  24. 24.What comes next? 4, 5, 7, 10, 14, ? (a) 20 (b) 21 (c) 18 (d) 19
  25. 25.What comes next? 19, 25, 22, 28, 25, 31, ? (a) 37 (b) 34 (c) 28 (d) 27
  26. 26.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 80 (d) 64
  27. 27.What comes next? 12, 16, 21, 27, 34, ? (a) 43 (b) 44 (c) 41 (d) 42
  28. 28.What comes next? 21, 23, 25, 27, 29, ? (a) 30 (b) 31 (c) 32 (d) 33
  29. 29.What comes next? 2, 14, 26, 38, 50, ? (a) 74 (b) 62 (c) 61 (d) 63
  30. 30.What comes next? 20, 21, 23, 26, 30, ? (a) 36 (b) 35 (c) 37 (d) 34
  31. 31.What comes next? 8, 9, 11, 14, 18, ? (a) 25 (b) 24 (c) 23 (d) 22
  32. 32.What comes next? 65, 57, 49, 41, 33, ? (a) 17 (b) 26 (c) 24 (d) 25
  33. 33.What comes next? 9, 12, 15, 18, 21, ? (a) 25 (b) 27 (c) 24 (d) 23
  34. 34.What comes next? 5, 14, 12, 21, 19, 28, ? (a) 25 (b) 30 (c) 37 (d) 26
  35. 35.What comes next? 27, 34, 41, 48, 55, ? (a) 61 (b) 63 (c) 69 (d) 62
  36. 36.What comes next? 42, 36, 30, 24, 18, ? (a) 6 (b) 13 (c) 12 (d) 11
  37. 37.What comes next? 13, 21, 18, 26, 23, 31, ? (a) 28 (b) 39 (c) 34 (d) 27
  38. 38.What comes next? 30, 36, 42, 48, 54, ? (a) 61 (b) 66 (c) 60 (d) 59
  39. 39.What comes next? 17, 21, 26, 32, 39, ? (a) 46 (b) 49 (c) 47 (d) 48
  40. 40.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 72 (d) 81

Answer key

  1. 49
  2. 45
  3. 38
  4. 28
  5. 5
  6. 3
  7. 13
  8. 192
  9. 37
  10. 29
  11. 13
  12. 243
  13. 31
  14. 65
  15. 17
  16. 17
  17. 9
  18. 29
  19. 5
  20. 18
  21. 31
  22. 75
  23. 33
  24. 19
  25. 28
  26. 64
  27. 42
  28. 31
  29. 62
  30. 35
  31. 23
  32. 25
  33. 24
  34. 26
  35. 62
  36. 12
  37. 28
  38. 60
  39. 47
  40. 81

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