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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 385 · 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? 40, 36, 32, 28, 24, ? (a) 19 (b) 16 (c) 20 (d) 21
  2. 2.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 160 (d) 120
  3. 3.What comes next? 55, 50, 45, 40, 35, ? (a) 25 (b) 30 (c) 29 (d) 31
  4. 4.What comes next? 17, 21, 25, 29, 33, ? (a) 37 (b) 36 (c) 38 (d) 41
  5. 5.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 135 (d) 243
  6. 6.What comes next? 8, 11, 15, 20, 26, ? (a) 34 (b) 33 (c) 32 (d) 35
  7. 7.What comes next? 45, 37, 29, 21, 13, ? (a) 6 (b) 4 (c) 5 (d) 7
  8. 8.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 72 (c) 120 (d) 97
  9. 9.What comes next? 13, 18, 16, 21, 19, 24, ? (a) 21 (b) 26 (c) 22 (d) 29
  10. 10.What comes next? 8, 12, 17, 23, 30, ? (a) 37 (b) 40 (c) 38 (d) 39
  11. 11.What comes next? 21, 28, 35, 42, 49, ? (a) 57 (b) 55 (c) 56 (d) 63
  12. 12.What comes next? 35, 31, 27, 23, 19, ? (a) 15 (b) 14 (c) 16 (d) 11
  13. 13.What comes next? 11, 17, 14, 20, 17, 23, ? (a) 29 (b) 20 (c) 19 (d) 26
  14. 14.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 64 (d) 48
  15. 15.What comes next? 27, 22, 17, 12, 7, ? (a) 1 (b) 3 (c) 2 (d) 4
  16. 16.What comes next? 14, 16, 19, 23, 28, ? (a) 33 (b) 34 (c) 36 (d) 35
  17. 17.What comes next? 10, 15, 20, 25, 30, ? (a) 35 (b) 34 (c) 36 (d) 40
  18. 18.What comes next? 8, 10, 13, 17, 22, ? (a) 28 (b) 30 (c) 27 (d) 29
  19. 19.What comes next? 6, 12, 18, 24, 30, ? (a) 37 (b) 36 (c) 35 (d) 42
  20. 20.What comes next? 14, 17, 16, 19, 18, 21, ? (a) 22 (b) 19 (c) 20 (d) 24
  21. 21.What comes next? 15, 21, 27, 33, 39, ? (a) 45 (b) 44 (c) 46 (d) 51
  22. 22.What comes next? 7, 16, 25, 34, 43, ? (a) 61 (b) 51 (c) 52 (d) 53
  23. 23.What comes next? 33, 30, 27, 24, 21, ? (a) 15 (b) 19 (c) 18 (d) 17
  24. 24.What comes next? 9, 15, 12, 18, 15, 21, ? (a) 27 (b) 18 (c) 24 (d) 17
  25. 25.What comes next? 4, 7, 6, 9, 8, 11, ? (a) 12 (b) 9 (c) 14 (d) 10
  26. 26.What comes next? 75, 66, 57, 48, 39, ? (a) 31 (b) 29 (c) 30 (d) 21
  27. 27.What comes next? 41, 36, 31, 26, 21, ? (a) 11 (b) 16 (c) 17 (d) 15
  28. 28.What comes next? 6, 7, 9, 12, 16, ? (a) 21 (b) 20 (c) 22 (d) 23
  29. 29.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 180 (d) 90
  30. 30.What comes next? 13, 16, 20, 25, 31, ? (a) 38 (b) 40 (c) 37 (d) 39
  31. 31.What comes next? 43, 38, 33, 28, 23, ? (a) 18 (b) 17 (c) 19 (d) 13
  32. 32.What comes next? 9, 16, 12, 19, 15, 22, ? (a) 17 (b) 26 (c) 18 (d) 29
  33. 33.What comes next? 9, 20, 31, 42, 53, ? (a) 65 (b) 64 (c) 63 (d) 75
  34. 34.What comes next? 17, 19, 22, 26, 31, ? (a) 37 (b) 38 (c) 36 (d) 39
  35. 35.What comes next? 7, 15, 23, 31, 39, ? (a) 55 (b) 48 (c) 47 (d) 46
  36. 36.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 45 (d) 72
  37. 37.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 33 (d) 40
  38. 38.What comes next? 18, 22, 27, 33, 40, ? (a) 47 (b) 50 (c) 48 (d) 49
  39. 39.What comes next? 65, 58, 51, 44, 37, ? (a) 31 (b) 23 (c) 29 (d) 30
  40. 40.What comes next? 42, 36, 30, 24, 18, ? (a) 11 (b) 6 (c) 12 (d) 13

Answer key

  1. 20
  2. 160
  3. 30
  4. 37
  5. 243
  6. 33
  7. 5
  8. 96
  9. 22
  10. 38
  11. 56
  12. 15
  13. 20
  14. 64
  15. 2
  16. 34
  17. 35
  18. 28
  19. 36
  20. 20
  21. 45
  22. 52
  23. 18
  24. 18
  25. 10
  26. 30
  27. 16
  28. 21
  29. 162
  30. 38
  31. 18
  32. 18
  33. 64
  34. 37
  35. 47
  36. 81
  37. 32
  38. 48
  39. 30
  40. 12

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