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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 707 · 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? 11, 14, 17, 20, 23, ? (a) 26 (b) 29 (c) 27 (d) 25
  2. 2.What comes next? 11, 12, 14, 17, 21, ? (a) 25 (b) 27 (c) 28 (d) 26
  3. 3.What comes next? 1, 4, 8, 13, 19, ? (a) 28 (b) 27 (c) 26 (d) 25
  4. 4.What comes next? 63, 55, 47, 39, 31, ? (a) 22 (b) 15 (c) 23 (d) 24
  5. 5.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 45 (d) 90
  6. 6.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 135 (c) 216 (d) 243
  7. 7.What comes next? 26, 31, 36, 41, 46, ? (a) 51 (b) 56 (c) 52 (d) 50
  8. 8.What comes next? 2, 4, 7, 11, 16, ? (a) 22 (b) 24 (c) 23 (d) 21
  9. 9.What comes next? 9, 10, 12, 15, 19, ? (a) 24 (b) 25 (c) 23 (d) 26
  10. 10.What comes next? 53, 44, 35, 26, 17, ? (a) 10 (b) 9 (c) 7 (d) 8
  11. 11.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 29 (c) 28 (d) 27
  12. 12.What comes next? 19, 23, 28, 34, 41, ? (a) 48 (b) 51 (c) 50 (d) 49
  13. 13.What comes next? 26, 28, 30, 32, 34, ? (a) 36 (b) 37 (c) 38 (d) 35
  14. 14.What comes next? 4, 5, 7, 10, 14, ? (a) 19 (b) 20 (c) 21 (d) 18
  15. 15.What comes next? 23, 26, 29, 32, 35, ? (a) 39 (b) 37 (c) 38 (d) 41
  16. 16.What comes next? 17, 20, 18, 21, 19, 22, ? (a) 19 (b) 20 (c) 25 (d) 24
  17. 17.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 96 (c) 97 (d) 72
  18. 18.What comes next? 52, 45, 38, 31, 24, ? (a) 16 (b) 18 (c) 17 (d) 10
  19. 19.What comes next? 58, 52, 46, 40, 34, ? (a) 29 (b) 27 (c) 22 (d) 28
  20. 20.What comes next? 20, 31, 42, 53, 64, ? (a) 75 (b) 76 (c) 86 (d) 74
  21. 21.What comes next? 19, 23, 22, 26, 25, 29, ? (a) 33 (b) 30 (c) 28 (d) 27
  22. 22.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 144 (d) 162
  23. 23.What comes next? 12, 15, 14, 17, 16, 19, ? (a) 22 (b) 17 (c) 20 (d) 18
  24. 24.What comes next? 21, 27, 33, 39, 45, ? (a) 52 (b) 57 (c) 50 (d) 51
  25. 25.What comes next? 31, 26, 21, 16, 11, ? (a) 1 (b) 7 (c) 5 (d) 6
  26. 26.What comes next? 48, 39, 30, 21, 12, ? (a) 4 (b) 5 (c) 2 (d) 3
  27. 27.What comes next? 12, 10, 8, 6, 4, ? (a) 1 (b) 3 (c) 2 (d) 4
  28. 28.What comes next? 6, 8, 11, 15, 20, ? (a) 27 (b) 25 (c) 28 (d) 26
  29. 29.What comes next? 15, 17, 20, 24, 29, ? (a) 35 (b) 36 (c) 37 (d) 34
  30. 30.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 32 (c) 24 (d) 40
  31. 31.What comes next? 8, 15, 10, 17, 12, 19, ? (a) 13 (b) 26 (c) 14 (d) 24
  32. 32.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 160 (d) 161
  33. 33.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 64 (c) 48 (d) 80
  34. 34.What comes next? 20, 23, 27, 32, 38, ? (a) 44 (b) 47 (c) 46 (d) 45
  35. 35.What comes next? 54, 45, 36, 27, 18, ? (a) 9 (b) 11 (c) 8 (d) 10
  36. 36.What comes next? 9, 12, 16, 21, 27, ? (a) 35 (b) 34 (c) 33 (d) 36
  37. 37.What comes next? 19, 24, 29, 34, 39, ? (a) 44 (b) 45 (c) 49 (d) 43
  38. 38.What comes next? 7, 15, 23, 31, 39, ? (a) 47 (b) 46 (c) 55 (d) 48
  39. 39.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 96 (d) 128
  40. 40.What comes next? 27, 24, 21, 18, 15, ? (a) 12 (b) 11 (c) 9 (d) 13

Answer key

  1. 26
  2. 26
  3. 26
  4. 23
  5. 81
  6. 243
  7. 51
  8. 22
  9. 24
  10. 8
  11. 28
  12. 49
  13. 36
  14. 19
  15. 38
  16. 20
  17. 96
  18. 17
  19. 28
  20. 75
  21. 28
  22. 162
  23. 18
  24. 51
  25. 6
  26. 3
  27. 2
  28. 26
  29. 35
  30. 32
  31. 14
  32. 160
  33. 64
  34. 45
  35. 9
  36. 34
  37. 44
  38. 47
  39. 128
  40. 12

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