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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 965 · 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? 16, 19, 23, 28, 34, ? (a) 41 (b) 40 (c) 43 (d) 42
  2. 2.What comes next? 32, 28, 24, 20, 16, ? (a) 13 (b) 12 (c) 11 (d) 8
  3. 3.What comes next? 9, 14, 11, 16, 13, 18, ? (a) 23 (b) 21 (c) 15 (d) 14
  4. 4.What comes next? 4, 8, 16, 32, 64, ? (a) 129 (b) 160 (c) 128 (d) 96
  5. 5.What comes next? 4, 10, 5, 11, 6, 12, ? (a) 7 (b) 18 (c) 17 (d) 6
  6. 6.What comes next? 14, 18, 23, 29, 36, ? (a) 46 (b) 45 (c) 44 (d) 43
  7. 7.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 90 (c) 72 (d) 81
  8. 8.What comes next? 1, 5, 2, 6, 3, 7, ? (a) 4 (b) 10 (c) 3 (d) 11
  9. 9.What comes next? 24, 26, 28, 30, 32, ? (a) 33 (b) 36 (c) 35 (d) 34
  10. 10.What comes next? 9, 12, 16, 21, 27, ? (a) 35 (b) 33 (c) 36 (d) 34
  11. 11.What comes next? 18, 16, 14, 12, 10, ? (a) 7 (b) 9 (c) 6 (d) 8
  12. 12.What comes next? 17, 25, 33, 41, 49, ? (a) 56 (b) 58 (c) 57 (d) 65
  13. 13.What comes next? 1, 3, 6, 10, 15, ? (a) 21 (b) 20 (c) 23 (d) 22
  14. 14.What comes next? 44, 39, 34, 29, 24, ? (a) 14 (b) 20 (c) 18 (d) 19
  15. 15.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 90 (c) 162 (d) 180
  16. 16.What comes next? 7, 14, 21, 28, 35, ? (a) 41 (b) 49 (c) 42 (d) 43
  17. 17.What comes next? 3, 11, 19, 27, 35, ? (a) 42 (b) 44 (c) 51 (d) 43
  18. 18.What comes next? 9, 18, 13, 22, 17, 26, ? (a) 35 (b) 31 (c) 21 (d) 20
  19. 19.What comes next? 8, 12, 16, 20, 24, ? (a) 32 (b) 29 (c) 28 (d) 27
  20. 20.What comes next? 6, 9, 13, 18, 24, ? (a) 31 (b) 30 (c) 32 (d) 33
  21. 21.What comes next? 32, 26, 20, 14, 8, ? (a) 1 (b) 2 (c) 4 (d) 3
  22. 22.What comes next? 32, 27, 22, 17, 12, ? (a) 6 (b) 2 (c) 8 (d) 7
  23. 23.What comes next? 1, 5, 10, 16, 23, ? (a) 31 (b) 30 (c) 32 (d) 33
  24. 24.What comes next? 24, 29, 34, 39, 44, ? (a) 50 (b) 49 (c) 48 (d) 54
  25. 25.What comes next? 62, 55, 48, 41, 34, ? (a) 28 (b) 27 (c) 26 (d) 20
  26. 26.What comes next? 5, 9, 14, 20, 27, ? (a) 34 (b) 36 (c) 37 (d) 35
  27. 27.What comes next? 16, 21, 18, 23, 20, 25, ? (a) 21 (b) 22 (c) 28 (d) 30
  28. 28.What comes next? 22, 30, 38, 46, 54, ? (a) 63 (b) 70 (c) 61 (d) 62
  29. 29.What comes next? 12, 16, 21, 27, 34, ? (a) 43 (b) 41 (c) 42 (d) 44
  30. 30.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 96 (d) 97
  31. 31.What comes next? 1, 4, 3, 6, 5, 8, ? (a) 6 (b) 7 (c) 11 (d) 9
  32. 32.What comes next? 11, 14, 13, 16, 15, 18, ? (a) 17 (b) 16 (c) 19 (d) 21
  33. 33.What comes next? 23, 20, 17, 14, 11, ? (a) 5 (b) 8 (c) 9 (d) 7
  34. 34.What comes next? 15, 17, 20, 24, 29, ? (a) 36 (b) 37 (c) 35 (d) 34
  35. 35.What comes next? 7, 15, 23, 31, 39, ? (a) 47 (b) 46 (c) 48 (d) 55
  36. 36.What comes next? 34, 32, 30, 28, 26, ? (a) 24 (b) 22 (c) 23 (d) 25
  37. 37.What comes next? 9, 13, 18, 24, 31, ? (a) 38 (b) 39 (c) 41 (d) 40
  38. 38.What comes next? 14, 15, 17, 20, 24, ? (a) 28 (b) 30 (c) 31 (d) 29
  39. 39.What comes next? 13, 11, 9, 7, 5, ? (a) 3 (b) 1 (c) 2 (d) 4
  40. 40.What comes next? 74, 65, 56, 47, 38, ? (a) 28 (b) 20 (c) 30 (d) 29

Answer key

  1. 41
  2. 12
  3. 15
  4. 128
  5. 7
  6. 44
  7. 81
  8. 4
  9. 34
  10. 34
  11. 8
  12. 57
  13. 21
  14. 19
  15. 162
  16. 42
  17. 43
  18. 21
  19. 28
  20. 31
  21. 2
  22. 7
  23. 31
  24. 49
  25. 27
  26. 35
  27. 22
  28. 62
  29. 42
  30. 96
  31. 7
  32. 17
  33. 8
  34. 35
  35. 47
  36. 24
  37. 39
  38. 29
  39. 3
  40. 29

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