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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 395 · 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? 28, 26, 24, 22, 20, ? (a) 17 (b) 18 (c) 19 (d) 16
  2. 2.What comes next? 4, 5, 7, 10, 14, ? (a) 20 (b) 21 (c) 18 (d) 19
  3. 3.What comes next? 3, 7, 5, 9, 7, 11, ? (a) 8 (b) 13 (c) 15 (d) 9
  4. 4.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 135 (d) 270
  5. 5.What comes next? 18, 21, 25, 30, 36, ? (a) 45 (b) 42 (c) 43 (d) 44
  6. 6.What comes next? 59, 51, 43, 35, 27, ? (a) 20 (b) 11 (c) 18 (d) 19
  7. 7.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 80 (d) 64
  8. 8.What comes next? 10, 12, 14, 16, 18, ? (a) 19 (b) 22 (c) 21 (d) 20
  9. 9.What comes next? 26, 29, 32, 35, 38, ? (a) 42 (b) 40 (c) 44 (d) 41
  10. 10.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 160 (d) 120
  11. 11.What comes next? 58, 51, 44, 37, 30, ? (a) 23 (b) 24 (c) 22 (d) 16
  12. 12.What comes next? 18, 23, 22, 27, 26, 31, ? (a) 32 (b) 36 (c) 29 (d) 30
  13. 13.What comes next? 3, 5, 8, 12, 17, ? (a) 23 (b) 24 (c) 25 (d) 22
  14. 14.What comes next? 17, 18, 20, 23, 27, ? (a) 31 (b) 32 (c) 34 (d) 33
  15. 15.What comes next? 24, 30, 36, 42, 48, ? (a) 60 (b) 54 (c) 53 (d) 55
  16. 16.What comes next? 5, 8, 12, 17, 23, ? (a) 32 (b) 31 (c) 29 (d) 30
  17. 17.What comes next? 41, 34, 27, 20, 13, ? (a) 6 (b) 7 (c) 8 (d) 5
  18. 18.What comes next? 27, 36, 45, 54, 63, ? (a) 73 (b) 71 (c) 72 (d) 81
  19. 19.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 162 (d) 90
  20. 20.What comes next? 33, 28, 23, 18, 13, ? (a) 7 (b) 8 (c) 3 (d) 9
  21. 21.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 33 (c) 24 (d) 40
  22. 22.What comes next? 16, 23, 30, 37, 44, ? (a) 52 (b) 58 (c) 51 (d) 50
  23. 23.What comes next? 36, 34, 32, 30, 28, ? (a) 24 (b) 27 (c) 25 (d) 26
  24. 24.What comes next? 3, 10, 7, 14, 11, 18, ? (a) 14 (b) 25 (c) 15 (d) 21
  25. 25.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 15 (c) 18 (d) 16
  26. 26.What comes next? 8, 15, 12, 19, 16, 23, ? (a) 26 (b) 20 (c) 19 (d) 30
  27. 27.What comes next? 12, 15, 19, 24, 30, ? (a) 37 (b) 39 (c) 36 (d) 38
  28. 28.What comes next? 21, 24, 27, 30, 33, ? (a) 39 (b) 37 (c) 35 (d) 36
  29. 29.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  30. 30.What comes next? 12, 13, 15, 18, 22, ? (a) 28 (b) 29 (c) 26 (d) 27
  31. 31.What comes next? 15, 13, 11, 9, 7, ? (a) 3 (b) 4 (c) 5 (d) 6
  32. 32.What comes next? 4, 7, 11, 16, 22, ? (a) 28 (b) 30 (c) 31 (d) 29
  33. 33.What comes next? 9, 11, 14, 18, 23, ? (a) 30 (b) 31 (c) 28 (d) 29
  34. 34.What comes next? 22, 25, 28, 31, 34, ? (a) 37 (b) 36 (c) 40 (d) 38
  35. 35.What comes next? 3, 9, 15, 21, 27, ? (a) 34 (b) 32 (c) 33 (d) 39
  36. 36.What comes next? 21, 18, 15, 12, 9, ? (a) 5 (b) 7 (c) 6 (d) 3
  37. 37.What comes next? 26, 31, 36, 41, 46, ? (a) 51 (b) 50 (c) 56 (d) 52
  38. 38.What comes next? 5, 13, 10, 18, 15, 23, ? (a) 31 (b) 26 (c) 19 (d) 20
  39. 39.What comes next? 13, 22, 19, 28, 25, 34, ? (a) 37 (b) 43 (c) 30 (d) 31
  40. 40.What comes next? 48, 42, 36, 30, 24, ? (a) 12 (b) 18 (c) 17 (d) 19

Answer key

  1. 18
  2. 19
  3. 9
  4. 243
  5. 43
  6. 19
  7. 64
  8. 20
  9. 41
  10. 160
  11. 23
  12. 30
  13. 23
  14. 32
  15. 54
  16. 30
  17. 6
  18. 72
  19. 162
  20. 8
  21. 32
  22. 51
  23. 26
  24. 15
  25. 16
  26. 20
  27. 37
  28. 36
  29. 81
  30. 27
  31. 5
  32. 29
  33. 29
  34. 37
  35. 33
  36. 6
  37. 51
  38. 20
  39. 31
  40. 18

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