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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 303 · 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? 20, 21, 23, 26, 30, ? (a) 35 (b) 34 (c) 36 (d) 37
  2. 2.What comes next? 7, 10, 14, 19, 25, ? (a) 31 (b) 33 (c) 34 (d) 32
  3. 3.What comes next? 7, 9, 12, 16, 21, ? (a) 28 (b) 27 (c) 29 (d) 26
  4. 4.What comes next? 17, 20, 24, 29, 35, ? (a) 44 (b) 42 (c) 43 (d) 41
  5. 5.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 24 (c) 22 (d) 23
  6. 6.What comes next? 19, 23, 28, 34, 41, ? (a) 51 (b) 48 (c) 49 (d) 50
  7. 7.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 162 (d) 90
  8. 8.What comes next? 9, 13, 18, 24, 31, ? (a) 40 (b) 39 (c) 38 (d) 41
  9. 9.What comes next? 11, 13, 16, 20, 25, ? (a) 33 (b) 31 (c) 32 (d) 30
  10. 10.What comes next? 3, 7, 5, 9, 7, 11, ? (a) 8 (b) 13 (c) 9 (d) 15
  11. 11.What comes next? 39, 32, 25, 18, 11, ? (a) 6 (b) 5 (c) 3 (d) 4
  12. 12.What comes next? 21, 27, 33, 39, 45, ? (a) 52 (b) 51 (c) 50 (d) 57
  13. 13.What comes next? 14, 18, 23, 29, 36, ? (a) 46 (b) 43 (c) 44 (d) 45
  14. 14.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 120 (d) 160
  15. 15.What comes next? 47, 42, 37, 32, 27, ? (a) 17 (b) 21 (c) 23 (d) 22
  16. 16.What comes next? 61, 53, 45, 37, 29, ? (a) 21 (b) 20 (c) 13 (d) 22
  17. 17.What comes next? 28, 26, 24, 22, 20, ? (a) 16 (b) 18 (c) 17 (d) 19
  18. 18.What comes next? 7, 13, 19, 25, 31, ? (a) 38 (b) 43 (c) 36 (d) 37
  19. 19.What comes next? 16, 20, 18, 22, 20, 24, ? (a) 28 (b) 21 (c) 26 (d) 22
  20. 20.What comes next? 10, 13, 17, 22, 28, ? (a) 34 (b) 37 (c) 36 (d) 35
  21. 21.What comes next? 49, 41, 33, 25, 17, ? (a) 9 (b) 1 (c) 10 (d) 8
  22. 22.What comes next? 39, 33, 27, 21, 15, ? (a) 9 (b) 10 (c) 8 (d) 3
  23. 23.What comes next? 44, 41, 38, 35, 32, ? (a) 28 (b) 30 (c) 26 (d) 29
  24. 24.What comes next? 44, 38, 32, 26, 20, ? (a) 15 (b) 13 (c) 8 (d) 14
  25. 25.What comes next? 20, 26, 22, 28, 24, 30, ? (a) 25 (b) 26 (c) 36 (d) 34
  26. 26.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 129 (d) 160
  27. 27.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 270 (c) 216 (d) 135
  28. 28.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 120 (d) 96
  29. 29.What comes next? 35, 30, 25, 20, 15, ? (a) 9 (b) 11 (c) 5 (d) 10
  30. 30.What comes next? 14, 18, 17, 21, 20, 24, ? (a) 28 (b) 25 (c) 23 (d) 22
  31. 31.What comes next? 17, 19, 22, 26, 31, ? (a) 39 (b) 37 (c) 38 (d) 36
  32. 32.What comes next? 18, 23, 22, 27, 26, 31, ? (a) 30 (b) 36 (c) 32 (d) 29
  33. 33.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 64 (d) 65
  34. 34.What comes next? 46, 37, 28, 19, 10, ? (a) 4 (b) 1 (c) 3 (d) 2
  35. 35.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 45 (d) 81
  36. 36.What comes next? 9, 12, 16, 21, 27, ? (a) 33 (b) 34 (c) 35 (d) 36
  37. 37.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 28 (c) 27 (d) 29
  38. 38.What comes next? 11, 14, 18, 23, 29, ? (a) 35 (b) 38 (c) 36 (d) 37
  39. 39.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 32 (c) 33 (d) 40
  40. 40.What comes next? 12, 19, 26, 33, 40, ? (a) 48 (b) 46 (c) 54 (d) 47

Answer key

  1. 35
  2. 32
  3. 27
  4. 42
  5. 22
  6. 49
  7. 162
  8. 39
  9. 31
  10. 9
  11. 4
  12. 51
  13. 44
  14. 160
  15. 22
  16. 21
  17. 18
  18. 37
  19. 22
  20. 35
  21. 9
  22. 9
  23. 29
  24. 14
  25. 26
  26. 128
  27. 243
  28. 96
  29. 10
  30. 23
  31. 37
  32. 30
  33. 64
  34. 1
  35. 81
  36. 34
  37. 28
  38. 36
  39. 32
  40. 47

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