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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 505 · 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? 6, 14, 22, 30, 38, ? (a) 47 (b) 54 (c) 45 (d) 46
  2. 2.What comes next? 15, 17, 20, 24, 29, ? (a) 37 (b) 36 (c) 35 (d) 34
  3. 3.What comes next? 17, 20, 19, 22, 21, 24, ? (a) 25 (b) 23 (c) 22 (d) 27
  4. 4.What comes next? 26, 38, 50, 62, 74, ? (a) 86 (b) 87 (c) 98 (d) 85
  5. 5.What comes next? 11, 14, 18, 23, 29, ? (a) 36 (b) 37 (c) 35 (d) 38
  6. 6.What comes next? 31, 25, 19, 13, 7, ? (a) 2 (b) 1 (c) 4 (d) 3
  7. 7.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 192 (c) 144 (d) 193
  8. 8.What comes next? 19, 23, 28, 34, 41, ? (a) 48 (b) 51 (c) 49 (d) 50
  9. 9.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 128 (d) 96
  10. 10.What comes next? 61, 53, 45, 37, 29, ? (a) 22 (b) 20 (c) 13 (d) 21
  11. 11.What comes next? 29, 31, 33, 35, 37, ? (a) 39 (b) 41 (c) 38 (d) 40
  12. 12.What comes next? 22, 18, 14, 10, 6, ? (a) 2 (b) 4 (c) 3 (d) 1
  13. 13.What comes next? 4, 12, 6, 14, 8, 16, ? (a) 24 (b) 9 (c) 22 (d) 10
  14. 14.What comes next? 3, 7, 6, 10, 9, 13, ? (a) 12 (b) 11 (c) 17 (d) 14
  15. 15.What comes next? 17, 24, 20, 27, 23, 30, ? (a) 26 (b) 25 (c) 34 (d) 37
  16. 16.What comes next? 44, 38, 32, 26, 20, ? (a) 13 (b) 14 (c) 8 (d) 15
  17. 17.What comes next? 14, 21, 17, 24, 20, 27, ? (a) 22 (b) 34 (c) 23 (d) 31
  18. 18.What comes next? 18, 21, 25, 30, 36, ? (a) 43 (b) 42 (c) 45 (d) 44
  19. 19.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 200 (d) 160
  20. 20.What comes next? 15, 13, 11, 9, 7, ? (a) 4 (b) 3 (c) 6 (d) 5
  21. 21.What comes next? 30, 33, 36, 39, 42, ? (a) 46 (b) 45 (c) 48 (d) 44
  22. 22.What comes next? 11, 19, 27, 35, 43, ? (a) 52 (b) 50 (c) 51 (d) 59
  23. 23.What comes next? 8, 10, 13, 17, 22, ? (a) 29 (b) 30 (c) 28 (d) 27
  24. 24.What comes next? 43, 40, 37, 34, 31, ? (a) 27 (b) 25 (c) 28 (d) 29
  25. 25.What comes next? 7, 15, 12, 20, 17, 25, ? (a) 22 (b) 21 (c) 33 (d) 28
  26. 26.What comes next? 22, 28, 34, 40, 46, ? (a) 52 (b) 51 (c) 53 (d) 58
  27. 27.What comes next? 2, 5, 8, 11, 14, ? (a) 20 (b) 17 (c) 18 (d) 16
  28. 28.What comes next? 55, 50, 45, 40, 35, ? (a) 30 (b) 25 (c) 31 (d) 29
  29. 29.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 216 (d) 243
  30. 30.What comes next? 3, 7, 11, 15, 19, ? (a) 27 (b) 22 (c) 24 (d) 23
  31. 31.What comes next? 25, 33, 41, 49, 57, ? (a) 73 (b) 66 (c) 65 (d) 64
  32. 32.What comes next? 19, 16, 13, 10, 7, ? (a) 1 (b) 5 (c) 4 (d) 3
  33. 33.What comes next? 66, 58, 50, 42, 34, ? (a) 25 (b) 27 (c) 26 (d) 18
  34. 34.What comes next? 11, 15, 19, 23, 27, ? (a) 30 (b) 32 (c) 31 (d) 35
  35. 35.What comes next? 8, 18, 28, 38, 48, ? (a) 57 (b) 68 (c) 59 (d) 58
  36. 36.What comes next? 27, 34, 41, 48, 55, ? (a) 61 (b) 69 (c) 63 (d) 62
  37. 37.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 80 (d) 64
  38. 38.What comes next? 11, 12, 14, 17, 21, ? (a) 28 (b) 25 (c) 26 (d) 27
  39. 39.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 28 (c) 27 (d) 29
  40. 40.What comes next? 28, 30, 32, 34, 36, ? (a) 39 (b) 38 (c) 40 (d) 37

Answer key

  1. 46
  2. 35
  3. 23
  4. 86
  5. 36
  6. 1
  7. 192
  8. 49
  9. 128
  10. 21
  11. 39
  12. 2
  13. 10
  14. 12
  15. 26
  16. 14
  17. 23
  18. 43
  19. 160
  20. 5
  21. 45
  22. 51
  23. 28
  24. 28
  25. 22
  26. 52
  27. 17
  28. 30
  29. 243
  30. 23
  31. 65
  32. 4
  33. 26
  34. 31
  35. 58
  36. 62
  37. 64
  38. 26
  39. 28
  40. 38

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