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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 64 · 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? 37, 31, 25, 19, 13, ? (a) 7 (b) 1 (c) 6 (d) 8
  2. 2.What comes next? 72, 63, 54, 45, 36, ? (a) 18 (b) 28 (c) 26 (d) 27
  3. 3.What comes next? 12, 13, 15, 18, 22, ? (a) 26 (b) 28 (c) 29 (d) 27
  4. 4.What comes next? 12, 16, 21, 27, 34, ? (a) 41 (b) 44 (c) 42 (d) 43
  5. 5.What comes next? 28, 26, 24, 22, 20, ? (a) 17 (b) 18 (c) 16 (d) 19
  6. 6.What comes next? 18, 16, 14, 12, 10, ? (a) 9 (b) 6 (c) 7 (d) 8
  7. 7.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 120 (d) 160
  8. 8.What comes next? 51, 45, 39, 33, 27, ? (a) 20 (b) 15 (c) 22 (d) 21
  9. 9.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 270 (d) 243
  10. 10.What comes next? 11, 22, 33, 44, 55, ? (a) 77 (b) 67 (c) 66 (d) 65
  11. 11.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 33 (d) 32
  12. 12.What comes next? 20, 27, 24, 31, 28, 35, ? (a) 31 (b) 32 (c) 38 (d) 42
  13. 13.What comes next? 19, 16, 13, 10, 7, ? (a) 5 (b) 4 (c) 3 (d) 1
  14. 14.What comes next? 5, 11, 10, 16, 15, 21, ? (a) 27 (b) 22 (c) 19 (d) 20
  15. 15.What comes next? 2, 6, 11, 17, 24, ? (a) 33 (b) 34 (c) 32 (d) 31
  16. 16.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 144 (c) 193 (d) 240
  17. 17.What comes next? 20, 25, 23, 28, 26, 31, ? (a) 36 (b) 29 (c) 28 (d) 33
  18. 18.What comes next? 15, 22, 19, 26, 23, 30, ? (a) 26 (b) 37 (c) 27 (d) 33
  19. 19.What comes next? 64, 55, 46, 37, 28, ? (a) 10 (b) 18 (c) 19 (d) 20
  20. 20.What comes next? 6, 10, 8, 12, 10, 14, ? (a) 11 (b) 16 (c) 12 (d) 18
  21. 21.What comes next? 39, 35, 31, 27, 23, ? (a) 15 (b) 19 (c) 20 (d) 18
  22. 22.What comes next? 14, 20, 19, 25, 24, 30, ? (a) 28 (b) 36 (c) 31 (d) 29
  23. 23.What comes next? 13, 15, 17, 19, 21, ? (a) 25 (b) 23 (c) 22 (d) 24
  24. 24.What comes next? 28, 33, 38, 43, 48, ? (a) 58 (b) 53 (c) 52 (d) 54
  25. 25.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 81 (c) 45 (d) 90
  26. 26.What comes next? 16, 20, 24, 28, 32, ? (a) 35 (b) 37 (c) 36 (d) 40
  27. 27.What comes next? 25, 33, 41, 49, 57, ? (a) 64 (b) 65 (c) 66 (d) 73
  28. 28.What comes next? 16, 21, 20, 25, 24, 29, ? (a) 34 (b) 30 (c) 27 (d) 28
  29. 29.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 90 (d) 180
  30. 30.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 96 (c) 129 (d) 128
  31. 31.What comes next? 50, 45, 40, 35, 30, ? (a) 24 (b) 20 (c) 25 (d) 26
  32. 32.What comes next? 5, 9, 14, 20, 27, ? (a) 34 (b) 35 (c) 37 (d) 36
  33. 33.What comes next? 23, 19, 15, 11, 7, ? (a) 5 (b) 2 (c) 3 (d) 4
  34. 34.What comes next? 27, 23, 19, 15, 11, ? (a) 6 (b) 7 (c) 8 (d) 3
  35. 35.What comes next? 13, 18, 23, 28, 33, ? (a) 37 (b) 39 (c) 38 (d) 43
  36. 36.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 10 (b) 4 (c) 5 (d) 9
  37. 37.What comes next? 14, 12, 10, 8, 6, ? (a) 2 (b) 3 (c) 4 (d) 5
  38. 38.What comes next? 1, 2, 4, 7, 11, ? (a) 17 (b) 18 (c) 15 (d) 16
  39. 39.What comes next? 2, 6, 5, 9, 8, 12, ? (a) 13 (b) 16 (c) 10 (d) 11
  40. 40.What comes next? 5, 9, 13, 17, 21, ? (a) 24 (b) 25 (c) 29 (d) 26

Answer key

  1. 7
  2. 27
  3. 27
  4. 42
  5. 18
  6. 8
  7. 160
  8. 21
  9. 243
  10. 66
  11. 32
  12. 32
  13. 4
  14. 20
  15. 32
  16. 192
  17. 29
  18. 27
  19. 19
  20. 12
  21. 19
  22. 29
  23. 23
  24. 53
  25. 81
  26. 36
  27. 65
  28. 28
  29. 162
  30. 128
  31. 25
  32. 35
  33. 3
  34. 7
  35. 38
  36. 5
  37. 4
  38. 16
  39. 11
  40. 25

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