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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 171 · 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? 26, 28, 30, 32, 34, ? (a) 38 (b) 35 (c) 37 (d) 36
  2. 2.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 162 (d) 144
  3. 3.What comes next? 3, 6, 12, 24, 48, ? (a) 97 (b) 72 (c) 96 (d) 120
  4. 4.What comes next? 19, 21, 24, 28, 33, ? (a) 40 (b) 38 (c) 41 (d) 39
  5. 5.What comes next? 6, 8, 10, 12, 14, ? (a) 17 (b) 18 (c) 15 (d) 16
  6. 6.What comes next? 23, 19, 15, 11, 7, ? (a) 3 (b) 5 (c) 2 (d) 4
  7. 7.What comes next? 3, 5, 7, 9, 11, ? (a) 12 (b) 13 (c) 14 (d) 15
  8. 8.What comes next? 7, 11, 16, 22, 29, ? (a) 36 (b) 39 (c) 37 (d) 38
  9. 9.What comes next? 11, 22, 33, 44, 55, ? (a) 67 (b) 66 (c) 65 (d) 77
  10. 10.What comes next? 6, 10, 9, 13, 12, 16, ? (a) 17 (b) 15 (c) 14 (d) 20
  11. 11.What comes next? 4, 6, 9, 13, 18, ? (a) 26 (b) 25 (c) 24 (d) 23
  12. 12.What comes next? 40, 36, 32, 28, 24, ? (a) 20 (b) 21 (c) 16 (d) 19
  13. 13.What comes next? 4, 8, 13, 19, 26, ? (a) 34 (b) 35 (c) 33 (d) 36
  14. 14.What comes next? 12, 15, 18, 21, 24, ? (a) 26 (b) 28 (c) 30 (d) 27
  15. 15.What comes next? 63, 56, 49, 42, 35, ? (a) 27 (b) 28 (c) 29 (d) 21
  16. 16.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 33 (d) 32
  17. 17.What comes next? 14, 16, 19, 23, 28, ? (a) 33 (b) 35 (c) 36 (d) 34
  18. 18.What comes next? 12, 13, 15, 18, 22, ? (a) 28 (b) 27 (c) 29 (d) 26
  19. 19.What comes next? 5, 8, 11, 14, 17, ? (a) 19 (b) 20 (c) 21 (d) 23
  20. 20.What comes next? 11, 18, 12, 19, 13, 20, ? (a) 27 (b) 26 (c) 14 (d) 13
  21. 21.What comes next? 43, 36, 29, 22, 15, ? (a) 7 (b) 8 (c) 1 (d) 9
  22. 22.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  23. 23.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 120 (c) 200 (d) 160
  24. 24.What comes next? 4, 5, 7, 10, 14, ? (a) 18 (b) 20 (c) 21 (d) 19
  25. 25.What comes next? 53, 45, 37, 29, 21, ? (a) 12 (b) 13 (c) 14 (d) 5
  26. 26.What comes next? 7, 10, 14, 19, 25, ? (a) 31 (b) 33 (c) 32 (d) 34
  27. 27.What comes next? 16, 20, 25, 31, 38, ? (a) 48 (b) 46 (c) 47 (d) 45
  28. 28.What comes next? 35, 31, 27, 23, 19, ? (a) 14 (b) 11 (c) 15 (d) 16
  29. 29.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  30. 30.What comes next? 2, 8, 6, 12, 10, 16, ? (a) 14 (b) 13 (c) 18 (d) 22
  31. 31.What comes next? 15, 17, 20, 24, 29, ? (a) 34 (b) 37 (c) 36 (d) 35
  32. 32.What comes next? 50, 42, 34, 26, 18, ? (a) 2 (b) 11 (c) 9 (d) 10
  33. 33.What comes next? 2, 4, 7, 11, 16, ? (a) 23 (b) 21 (c) 22 (d) 24
  34. 34.What comes next? 6, 13, 20, 27, 34, ? (a) 42 (b) 40 (c) 48 (d) 41
  35. 35.What comes next? 30, 35, 40, 45, 50, ? (a) 54 (b) 55 (c) 56 (d) 60
  36. 36.What comes next? 26, 22, 18, 14, 10, ? (a) 7 (b) 5 (c) 2 (d) 6
  37. 37.What comes next? 28, 33, 38, 43, 48, ? (a) 53 (b) 58 (c) 52 (d) 54
  38. 38.What comes next? 55, 50, 45, 40, 35, ? (a) 25 (b) 31 (c) 30 (d) 29
  39. 39.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 243 (d) 135
  40. 40.What comes next? 52, 43, 34, 25, 16, ? (a) 7 (b) 6 (c) 8 (d) 9

Answer key

  1. 36
  2. 162
  3. 96
  4. 39
  5. 16
  6. 3
  7. 13
  8. 37
  9. 66
  10. 15
  11. 24
  12. 20
  13. 34
  14. 27
  15. 28
  16. 32
  17. 34
  18. 27
  19. 20
  20. 14
  21. 8
  22. 81
  23. 160
  24. 19
  25. 13
  26. 32
  27. 46
  28. 15
  29. 64
  30. 14
  31. 35
  32. 10
  33. 22
  34. 41
  35. 55
  36. 6
  37. 53
  38. 30
  39. 243
  40. 7

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