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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 72 · 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? 67, 59, 51, 43, 35, ? (a) 28 (b) 26 (c) 27 (d) 19
  2. 2.What comes next? 16, 18, 21, 25, 30, ? (a) 37 (b) 35 (c) 38 (d) 36
  3. 3.What comes next? 21, 26, 31, 36, 41, ? (a) 46 (b) 45 (c) 47 (d) 51
  4. 4.What comes next? 22, 20, 18, 16, 14, ? (a) 10 (b) 11 (c) 12 (d) 13
  5. 5.What comes next? 4, 12, 20, 28, 36, ? (a) 43 (b) 44 (c) 45 (d) 52
  6. 6.What comes next? 16, 17, 19, 22, 26, ? (a) 32 (b) 33 (c) 30 (d) 31
  7. 7.What comes next? 54, 45, 36, 27, 18, ? (a) 9 (b) 10 (c) 8 (d) 11
  8. 8.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 180 (d) 90
  9. 9.What comes next? 14, 16, 18, 20, 22, ? (a) 23 (b) 26 (c) 25 (d) 24
  10. 10.What comes next? 15, 16, 18, 21, 25, ? (a) 29 (b) 31 (c) 32 (d) 30
  11. 11.What comes next? 8, 11, 15, 20, 26, ? (a) 33 (b) 35 (c) 34 (d) 32
  12. 12.What comes next? 7, 8, 10, 13, 17, ? (a) 21 (b) 24 (c) 23 (d) 22
  13. 13.What comes next? 29, 26, 23, 20, 17, ? (a) 11 (b) 15 (c) 14 (d) 13
  14. 14.What comes next? 18, 23, 19, 24, 20, 25, ? (a) 20 (b) 29 (c) 21 (d) 30
  15. 15.What comes next? 23, 26, 29, 32, 35, ? (a) 39 (b) 38 (c) 37 (d) 41
  16. 16.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 24 (c) 32 (d) 40
  17. 17.What comes next? 8, 10, 12, 14, 16, ? (a) 20 (b) 17 (c) 19 (d) 18
  18. 18.What comes next? 29, 36, 43, 50, 57, ? (a) 63 (b) 64 (c) 65 (d) 71
  19. 19.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 90 (d) 72
  20. 20.What comes next? 10, 17, 24, 31, 38, ? (a) 45 (b) 52 (c) 46 (d) 44
  21. 21.What comes next? 7, 13, 11, 17, 15, 21, ? (a) 18 (b) 19 (c) 27 (d) 23
  22. 22.What comes next? 8, 12, 17, 23, 30, ? (a) 38 (b) 39 (c) 37 (d) 40
  23. 23.What comes next? 25, 34, 43, 52, 61, ? (a) 69 (b) 70 (c) 79 (d) 71
  24. 24.What comes next? 40, 38, 36, 34, 32, ? (a) 28 (b) 30 (c) 31 (d) 29
  25. 25.What comes next? 1, 6, 5, 10, 9, 14, ? (a) 19 (b) 13 (c) 15 (d) 12
  26. 26.What comes next? 38, 31, 24, 17, 10, ? (a) 2 (b) 3 (c) 5 (d) 4
  27. 27.What comes next? 7, 11, 15, 19, 23, ? (a) 31 (b) 26 (c) 27 (d) 28
  28. 28.What comes next? 16, 20, 25, 31, 38, ? (a) 47 (b) 45 (c) 46 (d) 48
  29. 29.What comes next? 32, 27, 22, 17, 12, ? (a) 6 (b) 2 (c) 7 (d) 8
  30. 30.What comes next? 12, 15, 19, 24, 30, ? (a) 37 (b) 36 (c) 39 (d) 38
  31. 31.What comes next? 2, 6, 11, 17, 24, ? (a) 31 (b) 32 (c) 34 (d) 33
  32. 32.What comes next? 18, 20, 22, 24, 26, ? (a) 27 (b) 28 (c) 30 (d) 29
  33. 33.What comes next? 11, 14, 18, 23, 29, ? (a) 35 (b) 36 (c) 37 (d) 38
  34. 34.What comes next? 12, 10, 8, 6, 4, ? (a) 3 (b) 4 (c) 1 (d) 2
  35. 35.What comes next? 18, 22, 19, 23, 20, 24, ? (a) 20 (b) 27 (c) 28 (d) 21
  36. 36.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 243 (c) 135 (d) 216
  37. 37.What comes next? 16, 19, 17, 20, 18, 21, ? (a) 24 (b) 19 (c) 18 (d) 23
  38. 38.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 192 (d) 193
  39. 39.What comes next? 30, 25, 20, 15, 10, ? (a) 6 (b) 4 (c) 5 (d) 7
  40. 40.What comes next? 63, 55, 47, 39, 31, ? (a) 15 (b) 23 (c) 24 (d) 22

Answer key

  1. 27
  2. 36
  3. 46
  4. 12
  5. 44
  6. 31
  7. 9
  8. 162
  9. 24
  10. 30
  11. 33
  12. 22
  13. 14
  14. 21
  15. 38
  16. 32
  17. 18
  18. 64
  19. 81
  20. 45
  21. 19
  22. 38
  23. 70
  24. 30
  25. 13
  26. 3
  27. 27
  28. 46
  29. 7
  30. 37
  31. 32
  32. 28
  33. 36
  34. 2
  35. 21
  36. 243
  37. 19
  38. 192
  39. 5
  40. 23

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