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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 817 · 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? 17, 21, 25, 29, 33, ? (a) 41 (b) 37 (c) 36 (d) 38
  2. 2.What comes next? 19, 25, 31, 37, 43, ? (a) 48 (b) 55 (c) 49 (d) 50
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 90 (d) 180
  4. 4.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 192 (d) 193
  5. 5.What comes next? 16, 24, 22, 30, 28, 36, ? (a) 44 (b) 33 (c) 34 (d) 38
  6. 6.What comes next? 11, 17, 16, 22, 21, 27, ? (a) 26 (b) 28 (c) 25 (d) 33
  7. 7.What comes next? 43, 36, 29, 22, 15, ? (a) 8 (b) 7 (c) 1 (d) 9
  8. 8.What comes next? 14, 17, 21, 26, 32, ? (a) 39 (b) 41 (c) 40 (d) 38
  9. 9.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 33 (c) 40 (d) 32
  10. 10.What comes next? 52, 43, 34, 25, 16, ? (a) 8 (b) 9 (c) 6 (d) 7
  11. 11.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 120 (c) 97 (d) 72
  12. 12.What comes next? 37, 33, 29, 25, 21, ? (a) 13 (b) 18 (c) 16 (d) 17
  13. 13.What comes next? 23, 26, 29, 32, 35, ? (a) 39 (b) 41 (c) 37 (d) 38
  14. 14.What comes next? 37, 31, 25, 19, 13, ? (a) 8 (b) 6 (c) 1 (d) 7
  15. 15.What comes next? 7, 15, 23, 31, 39, ? (a) 48 (b) 46 (c) 55 (d) 47
  16. 16.What comes next? 29, 27, 25, 23, 21, ? (a) 19 (b) 18 (c) 17 (d) 20
  17. 17.What comes next? 56, 48, 40, 32, 24, ? (a) 15 (b) 8 (c) 16 (d) 17
  18. 18.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 90 (d) 45
  19. 19.What comes next? 32, 30, 28, 26, 24, ? (a) 20 (b) 22 (c) 21 (d) 23
  20. 20.What comes next? 16, 22, 21, 27, 26, 32, ? (a) 30 (b) 31 (c) 33 (d) 38
  21. 21.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 16 (c) 18 (d) 15
  22. 22.What comes next? 24, 27, 30, 33, 36, ? (a) 40 (b) 39 (c) 38 (d) 42
  23. 23.What comes next? 5, 9, 14, 20, 27, ? (a) 35 (b) 37 (c) 34 (d) 36
  24. 24.What comes next? 16, 17, 19, 22, 26, ? (a) 31 (b) 33 (c) 30 (d) 32
  25. 25.What comes next? 12, 21, 16, 25, 20, 29, ? (a) 23 (b) 38 (c) 34 (d) 24
  26. 26.What comes next? 7, 16, 25, 34, 43, ? (a) 51 (b) 52 (c) 61 (d) 53
  27. 27.What comes next? 5, 8, 12, 17, 23, ? (a) 31 (b) 30 (c) 29 (d) 32
  28. 28.What comes next? 1, 3, 6, 10, 15, ? (a) 23 (b) 20 (c) 22 (d) 21
  29. 29.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 216 (d) 243
  30. 30.What comes next? 3, 12, 21, 30, 39, ? (a) 47 (b) 49 (c) 57 (d) 48
  31. 31.What comes next? 28, 24, 20, 16, 12, ? (a) 9 (b) 7 (c) 8 (d) 4
  32. 32.What comes next? 5, 15, 25, 35, 45, ? (a) 54 (b) 56 (c) 55 (d) 65
  33. 33.What comes next? 8, 14, 20, 26, 32, ? (a) 38 (b) 37 (c) 44 (d) 39
  34. 34.What comes next? 4, 7, 11, 16, 22, ? (a) 30 (b) 29 (c) 31 (d) 28
  35. 35.What comes next? 17, 21, 18, 22, 19, 23, ? (a) 19 (b) 20 (c) 27 (d) 26
  36. 36.What comes next? 7, 12, 17, 22, 27, ? (a) 31 (b) 32 (c) 37 (d) 33
  37. 37.What comes next? 16, 21, 20, 25, 24, 29, ? (a) 30 (b) 27 (c) 34 (d) 28
  38. 38.What comes next? 9, 15, 21, 27, 33, ? (a) 38 (b) 40 (c) 39 (d) 45
  39. 39.What comes next? 30, 33, 36, 39, 42, ? (a) 44 (b) 46 (c) 48 (d) 45
  40. 40.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 161 (c) 200 (d) 120

Answer key

  1. 37
  2. 49
  3. 162
  4. 192
  5. 34
  6. 26
  7. 8
  8. 39
  9. 32
  10. 7
  11. 96
  12. 17
  13. 38
  14. 7
  15. 47
  16. 19
  17. 16
  18. 81
  19. 22
  20. 31
  21. 16
  22. 39
  23. 35
  24. 31
  25. 24
  26. 52
  27. 30
  28. 21
  29. 243
  30. 48
  31. 8
  32. 55
  33. 38
  34. 29
  35. 20
  36. 32
  37. 28
  38. 39
  39. 45
  40. 160

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