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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 601 · 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? 39, 36, 33, 30, 27, ? (a) 21 (b) 25 (c) 24 (d) 23
  2. 2.What comes next? 25, 29, 33, 37, 41, ? (a) 44 (b) 46 (c) 49 (d) 45
  3. 3.What comes next? 14, 17, 20, 23, 26, ? (a) 32 (b) 30 (c) 28 (d) 29
  4. 4.What comes next? 16, 23, 21, 28, 26, 33, ? (a) 35 (b) 30 (c) 31 (d) 40
  5. 5.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 90 (d) 162
  6. 6.What comes next? 5, 9, 14, 20, 27, ? (a) 35 (b) 36 (c) 34 (d) 37
  7. 7.What comes next? 15, 18, 17, 20, 19, 22, ? (a) 21 (b) 23 (c) 20 (d) 25
  8. 8.What comes next? 46, 37, 28, 19, 10, ? (a) 3 (b) 4 (c) 1 (d) 2
  9. 9.What comes next? 17, 22, 20, 25, 23, 28, ? (a) 26 (b) 33 (c) 25 (d) 30
  10. 10.What comes next? 6, 9, 13, 18, 24, ? (a) 33 (b) 32 (c) 30 (d) 31
  11. 11.What comes next? 9, 16, 23, 30, 37, ? (a) 51 (b) 44 (c) 43 (d) 45
  12. 12.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 193 (c) 240 (d) 192
  13. 13.What comes next? 6, 8, 11, 15, 20, ? (a) 27 (b) 26 (c) 28 (d) 25
  14. 14.What comes next? 25, 23, 21, 19, 17, ? (a) 16 (b) 14 (c) 13 (d) 15
  15. 15.What comes next? 10, 14, 12, 16, 14, 18, ? (a) 20 (b) 16 (c) 22 (d) 15
  16. 16.What comes next? 44, 36, 28, 20, 12, ? (a) 6 (b) 3 (c) 5 (d) 4
  17. 17.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 243 (c) 270 (d) 216
  18. 18.What comes next? 66, 58, 50, 42, 34, ? (a) 26 (b) 27 (c) 25 (d) 18
  19. 19.What comes next? 51, 44, 37, 30, 23, ? (a) 17 (b) 9 (c) 16 (d) 15
  20. 20.What comes next? 12, 17, 15, 20, 18, 23, ? (a) 25 (b) 21 (c) 28 (d) 20
  21. 21.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 81 (d) 72
  22. 22.What comes next? 26, 24, 22, 20, 18, ? (a) 15 (b) 16 (c) 17 (d) 14
  23. 23.What comes next? 5, 8, 11, 14, 17, ? (a) 20 (b) 21 (c) 23 (d) 19
  24. 24.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 12 (b) 17 (c) 18 (d) 13
  25. 25.What comes next? 14, 19, 17, 22, 20, 25, ? (a) 22 (b) 30 (c) 27 (d) 23
  26. 26.What comes next? 70, 62, 54, 46, 38, ? (a) 31 (b) 29 (c) 30 (d) 22
  27. 27.What comes next? 28, 31, 34, 37, 40, ? (a) 42 (b) 43 (c) 44 (d) 46
  28. 28.What comes next? 49, 42, 35, 28, 21, ? (a) 13 (b) 7 (c) 15 (d) 14
  29. 29.What comes next? 6, 13, 8, 15, 10, 17, ? (a) 22 (b) 24 (c) 11 (d) 12
  30. 30.What comes next? 27, 23, 19, 15, 11, ? (a) 7 (b) 3 (c) 6 (d) 8
  31. 31.What comes next? 55, 49, 43, 37, 31, ? (a) 26 (b) 24 (c) 19 (d) 25
  32. 32.What comes next? 6, 9, 12, 15, 18, ? (a) 21 (b) 24 (c) 20 (d) 22
  33. 33.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 40 (d) 32
  34. 34.What comes next? 12, 16, 15, 19, 18, 22, ? (a) 26 (b) 21 (c) 23 (d) 20
  35. 35.What comes next? 7, 16, 14, 23, 21, 30, ? (a) 28 (b) 27 (c) 39 (d) 32
  36. 36.What comes next? 25, 32, 39, 46, 53, ? (a) 67 (b) 59 (c) 60 (d) 61
  37. 37.What comes next? 19, 23, 28, 34, 41, ? (a) 49 (b) 50 (c) 48 (d) 51
  38. 38.What comes next? 19, 20, 22, 25, 29, ? (a) 34 (b) 36 (c) 35 (d) 33
  39. 39.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 161 (c) 200 (d) 160
  40. 40.What comes next? 47, 41, 35, 29, 23, ? (a) 18 (b) 16 (c) 17 (d) 11

Answer key

  1. 24
  2. 45
  3. 29
  4. 31
  5. 162
  6. 35
  7. 21
  8. 1
  9. 26
  10. 31
  11. 44
  12. 192
  13. 26
  14. 15
  15. 16
  16. 4
  17. 243
  18. 26
  19. 16
  20. 21
  21. 81
  22. 16
  23. 20
  24. 13
  25. 23
  26. 30
  27. 43
  28. 14
  29. 12
  30. 7
  31. 25
  32. 21
  33. 32
  34. 21
  35. 28
  36. 60
  37. 49
  38. 34
  39. 160
  40. 17

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