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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 430 · 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? 10, 12, 15, 19, 24, ? (a) 30 (b) 29 (c) 31 (d) 32
  2. 2.What comes next? 14, 20, 26, 32, 38, ? (a) 50 (b) 44 (c) 43 (d) 45
  3. 3.What comes next? 17, 22, 19, 24, 21, 26, ? (a) 23 (b) 22 (c) 29 (d) 31
  4. 4.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 72 (d) 45
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 180 (c) 90 (d) 144
  6. 6.What comes next? 9, 16, 10, 17, 11, 18, ? (a) 11 (b) 12 (c) 24 (d) 25
  7. 7.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 240 (c) 193 (d) 144
  8. 8.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 97 (c) 96 (d) 120
  9. 9.What comes next? 27, 36, 45, 54, 63, ? (a) 72 (b) 71 (c) 73 (d) 81
  10. 10.What comes next? 54, 49, 44, 39, 34, ? (a) 24 (b) 28 (c) 30 (d) 29
  11. 11.What comes next? 43, 36, 29, 22, 15, ? (a) 1 (b) 7 (c) 8 (d) 9
  12. 12.What comes next? 17, 20, 19, 22, 21, 24, ? (a) 22 (b) 23 (c) 27 (d) 25
  13. 13.What comes next? 17, 27, 37, 47, 57, ? (a) 68 (b) 66 (c) 67 (d) 77
  14. 14.What comes next? 14, 25, 36, 47, 58, ? (a) 68 (b) 70 (c) 80 (d) 69
  15. 15.What comes next? 8, 12, 9, 13, 10, 14, ? (a) 10 (b) 11 (c) 17 (d) 18
  16. 16.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  17. 17.What comes next? 16, 13, 10, 7, 4, ? (a) 2 (b) 1 (c) 4 (d) 3
  18. 18.What comes next? 36, 33, 30, 27, 24, ? (a) 21 (b) 22 (c) 18 (d) 20
  19. 19.What comes next? 18, 15, 12, 9, 6, ? (a) 4 (b) 3 (c) 2 (d) 5
  20. 20.What comes next? 2, 3, 5, 8, 12, ? (a) 16 (b) 19 (c) 17 (d) 18
  21. 21.What comes next? 4, 11, 7, 14, 10, 17, ? (a) 12 (b) 24 (c) 13 (d) 21
  22. 22.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 10 (b) 11 (c) 3 (d) 4
  23. 23.What comes next? 21, 30, 39, 48, 57, ? (a) 66 (b) 75 (c) 67 (d) 65
  24. 24.What comes next? 65, 56, 47, 38, 29, ? (a) 20 (b) 19 (c) 11 (d) 21
  25. 25.What comes next? 46, 42, 38, 34, 30, ? (a) 27 (b) 25 (c) 22 (d) 26
  26. 26.What comes next? 13, 21, 29, 37, 45, ? (a) 54 (b) 53 (c) 52 (d) 61
  27. 27.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 128 (c) 160 (d) 96
  28. 28.What comes next? 64, 55, 46, 37, 28, ? (a) 18 (b) 19 (c) 20 (d) 10
  29. 29.What comes next? 30, 34, 38, 42, 46, ? (a) 49 (b) 50 (c) 54 (d) 51
  30. 30.What comes next? 8, 16, 12, 20, 16, 24, ? (a) 32 (b) 28 (c) 20 (d) 19
  31. 31.What comes next? 17, 23, 22, 28, 27, 33, ? (a) 31 (b) 39 (c) 32 (d) 34
  32. 32.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 120 (d) 160
  33. 33.What comes next? 54, 45, 36, 27, 18, ? (a) 10 (b) 8 (c) 9 (d) 11
  34. 34.What comes next? 3, 7, 12, 18, 25, ? (a) 34 (b) 33 (c) 35 (d) 32
  35. 35.What comes next? 7, 14, 21, 28, 35, ? (a) 41 (b) 42 (c) 49 (d) 43
  36. 36.What comes next? 18, 23, 22, 27, 26, 31, ? (a) 30 (b) 36 (c) 29 (d) 32
  37. 37.What comes next? 15, 26, 37, 48, 59, ? (a) 81 (b) 70 (c) 71 (d) 69
  38. 38.What comes next? 42, 38, 34, 30, 26, ? (a) 23 (b) 21 (c) 18 (d) 22
  39. 39.What comes next? 3, 11, 10, 18, 17, 25, ? (a) 24 (b) 33 (c) 26 (d) 23
  40. 40.What comes next? 8, 9, 11, 14, 18, ? (a) 22 (b) 25 (c) 23 (d) 24

Answer key

  1. 30
  2. 44
  3. 23
  4. 81
  5. 162
  6. 12
  7. 192
  8. 96
  9. 72
  10. 29
  11. 8
  12. 23
  13. 67
  14. 69
  15. 11
  16. 32
  17. 1
  18. 21
  19. 3
  20. 17
  21. 13
  22. 4
  23. 66
  24. 20
  25. 26
  26. 53
  27. 128
  28. 19
  29. 50
  30. 20
  31. 32
  32. 160
  33. 9
  34. 33
  35. 42
  36. 30
  37. 70
  38. 22
  39. 24
  40. 23

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