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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 794 · 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? 3, 6, 9, 12, 15, ? (a) 21 (b) 18 (c) 17 (d) 19
  2. 2.What comes next? 8, 17, 26, 35, 44, ? (a) 52 (b) 62 (c) 53 (d) 54
  3. 3.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 24 (c) 33 (d) 32
  4. 4.What comes next? 44, 40, 36, 32, 28, ? (a) 24 (b) 20 (c) 25 (d) 23
  5. 5.What comes next? 6, 8, 11, 15, 20, ? (a) 28 (b) 27 (c) 25 (d) 26
  6. 6.What comes next? 18, 21, 20, 23, 22, 25, ? (a) 23 (b) 24 (c) 28 (d) 26
  7. 7.What comes next? 12, 15, 19, 24, 30, ? (a) 37 (b) 36 (c) 39 (d) 38
  8. 8.What comes next? 20, 30, 40, 50, 60, ? (a) 69 (b) 80 (c) 70 (d) 71
  9. 9.What comes next? 16, 14, 12, 10, 8, ? (a) 4 (b) 7 (c) 5 (d) 6
  10. 10.What comes next? 32, 27, 22, 17, 12, ? (a) 7 (b) 8 (c) 2 (d) 6
  11. 11.What comes next? 59, 53, 47, 41, 35, ? (a) 23 (b) 30 (c) 28 (d) 29
  12. 12.What comes next? 25, 35, 45, 55, 65, ? (a) 76 (b) 85 (c) 74 (d) 75
  13. 13.What comes next? 3, 8, 6, 11, 9, 14, ? (a) 16 (b) 19 (c) 11 (d) 12
  14. 14.What comes next? 5, 6, 8, 11, 15, ? (a) 21 (b) 19 (c) 22 (d) 20
  15. 15.What comes next? 26, 37, 48, 59, 70, ? (a) 82 (b) 92 (c) 80 (d) 81
  16. 16.What comes next? 4, 16, 28, 40, 52, ? (a) 65 (b) 64 (c) 76 (d) 63
  17. 17.What comes next? 65, 56, 47, 38, 29, ? (a) 19 (b) 20 (c) 11 (d) 21
  18. 18.What comes next? 2, 9, 16, 23, 30, ? (a) 36 (b) 37 (c) 38 (d) 44
  19. 19.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 270 (c) 243 (d) 216
  20. 20.What comes next? 13, 14, 16, 19, 23, ? (a) 29 (b) 28 (c) 27 (d) 30
  21. 21.What comes next? 13, 21, 20, 28, 27, 35, ? (a) 36 (b) 33 (c) 43 (d) 34
  22. 22.What comes next? 6, 10, 14, 18, 22, ? (a) 26 (b) 25 (c) 27 (d) 30
  23. 23.What comes next? 30, 40, 50, 60, 70, ? (a) 90 (b) 81 (c) 80 (d) 79
  24. 24.What comes next? 14, 15, 17, 20, 24, ? (a) 30 (b) 28 (c) 29 (d) 31
  25. 25.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 144 (c) 162 (d) 180
  26. 26.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 23 (c) 24 (d) 22
  27. 27.What comes next? 3, 11, 5, 13, 7, 15, ? (a) 8 (b) 23 (c) 9 (d) 21
  28. 28.What comes next? 6, 12, 24, 48, 96, ? (a) 144 (b) 240 (c) 193 (d) 192
  29. 29.What comes next? 56, 49, 42, 35, 28, ? (a) 14 (b) 21 (c) 20 (d) 22
  30. 30.What comes next? 1, 5, 10, 16, 23, ? (a) 33 (b) 30 (c) 32 (d) 31
  31. 31.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 120 (c) 161 (d) 200
  32. 32.What comes next? 8, 18, 28, 38, 48, ? (a) 57 (b) 58 (c) 59 (d) 68
  33. 33.What comes next? 18, 20, 23, 27, 32, ? (a) 37 (b) 38 (c) 39 (d) 40
  34. 34.What comes next? 10, 13, 16, 19, 22, ? (a) 24 (b) 28 (c) 25 (d) 26
  35. 35.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  36. 36.What comes next? 1, 5, 4, 8, 7, 11, ? (a) 15 (b) 9 (c) 10 (d) 12
  37. 37.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 120 (c) 72 (d) 97
  38. 38.What comes next? 31, 29, 27, 25, 23, ? (a) 19 (b) 20 (c) 22 (d) 21
  39. 39.What comes next? 25, 36, 47, 58, 69, ? (a) 81 (b) 80 (c) 91 (d) 79
  40. 40.What comes next? 20, 29, 23, 32, 26, 35, ? (a) 44 (b) 41 (c) 28 (d) 29

Answer key

  1. 18
  2. 53
  3. 32
  4. 24
  5. 26
  6. 24
  7. 37
  8. 70
  9. 6
  10. 7
  11. 29
  12. 75
  13. 12
  14. 20
  15. 81
  16. 64
  17. 20
  18. 37
  19. 243
  20. 28
  21. 34
  22. 26
  23. 80
  24. 29
  25. 162
  26. 22
  27. 9
  28. 192
  29. 21
  30. 31
  31. 160
  32. 58
  33. 38
  34. 25
  35. 64
  36. 10
  37. 96
  38. 21
  39. 80
  40. 29

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