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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 915 · 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? 33, 31, 29, 27, 25, ? (a) 24 (b) 23 (c) 22 (d) 21
  2. 2.What comes next? 32, 26, 20, 14, 8, ? (a) 3 (b) 4 (c) 2 (d) 1
  3. 3.What comes next? 10, 16, 15, 21, 20, 26, ? (a) 27 (b) 24 (c) 25 (d) 32
  4. 4.What comes next? 12, 16, 20, 24, 28, ? (a) 33 (b) 36 (c) 32 (d) 31
  5. 5.What comes next? 13, 14, 16, 19, 23, ? (a) 29 (b) 28 (c) 30 (d) 27
  6. 6.What comes next? 28, 31, 34, 37, 40, ? (a) 46 (b) 43 (c) 42 (d) 44
  7. 7.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 162 (c) 90 (d) 144
  8. 8.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 65 (c) 64 (d) 80
  9. 9.What comes next? 2, 6, 5, 9, 8, 12, ? (a) 10 (b) 16 (c) 11 (d) 13
  10. 10.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 96 (c) 129 (d) 160
  11. 11.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 97 (c) 96 (d) 72
  12. 12.What comes next? 50, 41, 32, 23, 14, ? (a) 4 (b) 7 (c) 6 (d) 5
  13. 13.What comes next? 5, 6, 8, 11, 15, ? (a) 22 (b) 19 (c) 20 (d) 21
  14. 14.What comes next? 3, 5, 8, 12, 17, ? (a) 24 (b) 22 (c) 23 (d) 25
  15. 15.What comes next? 49, 44, 39, 34, 29, ? (a) 24 (b) 19 (c) 25 (d) 23
  16. 16.What comes next? 3, 9, 27, 81, ? (a) 270 (b) 216 (c) 243 (d) 135
  17. 17.What comes next? 13, 16, 15, 18, 17, 20, ? (a) 23 (b) 18 (c) 21 (d) 19
  18. 18.What comes next? 26, 34, 42, 50, 58, ? (a) 74 (b) 67 (c) 65 (d) 66
  19. 19.What comes next? 18, 21, 24, 27, 30, ? (a) 36 (b) 33 (c) 34 (d) 32
  20. 20.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 44 (c) 42 (d) 41
  21. 21.What comes next? 19, 20, 22, 25, 29, ? (a) 33 (b) 34 (c) 36 (d) 35
  22. 22.What comes next? 46, 42, 38, 34, 30, ? (a) 22 (b) 25 (c) 26 (d) 27
  23. 23.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 81 (d) 90
  24. 24.What comes next? 31, 25, 19, 13, 7, ? (a) 4 (b) 1 (c) 3 (d) 2
  25. 25.What comes next? 22, 19, 16, 13, 10, ? (a) 8 (b) 4 (c) 7 (d) 6
  26. 26.What comes next? 18, 21, 19, 22, 20, 23, ? (a) 20 (b) 21 (c) 25 (d) 26
  27. 27.What comes next? 10, 13, 17, 22, 28, ? (a) 36 (b) 35 (c) 37 (d) 34
  28. 28.What comes next? 1, 9, 6, 14, 11, 19, ? (a) 22 (b) 27 (c) 15 (d) 16
  29. 29.What comes next? 13, 17, 22, 28, 35, ? (a) 44 (b) 43 (c) 45 (d) 42
  30. 30.What comes next? 4, 13, 10, 19, 16, 25, ? (a) 22 (b) 21 (c) 34 (d) 28
  31. 31.What comes next? 30, 35, 40, 45, 50, ? (a) 54 (b) 60 (c) 55 (d) 56
  32. 32.What comes next? 11, 13, 16, 20, 25, ? (a) 30 (b) 32 (c) 31 (d) 33
  33. 33.What comes next? 8, 14, 20, 26, 32, ? (a) 44 (b) 38 (c) 39 (d) 37
  34. 34.What comes next? 44, 40, 36, 32, 28, ? (a) 20 (b) 24 (c) 25 (d) 23
  35. 35.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 160 (d) 120
  36. 36.What comes next? 8, 20, 32, 44, 56, ? (a) 68 (b) 80 (c) 67 (d) 69
  37. 37.What comes next? 8, 14, 13, 19, 18, 24, ? (a) 22 (b) 30 (c) 23 (d) 25
  38. 38.What comes next? 18, 15, 12, 9, 6, ? (a) 5 (b) 3 (c) 2 (d) 4
  39. 39.What comes next? 26, 30, 34, 38, 42, ? (a) 45 (b) 47 (c) 46 (d) 50
  40. 40.What comes next? 15, 20, 16, 21, 17, 22, ? (a) 26 (b) 27 (c) 17 (d) 18

Answer key

  1. 23
  2. 2
  3. 25
  4. 32
  5. 28
  6. 43
  7. 162
  8. 64
  9. 11
  10. 128
  11. 96
  12. 5
  13. 20
  14. 23
  15. 24
  16. 243
  17. 19
  18. 66
  19. 33
  20. 42
  21. 34
  22. 26
  23. 81
  24. 1
  25. 7
  26. 21
  27. 35
  28. 16
  29. 43
  30. 22
  31. 55
  32. 31
  33. 38
  34. 24
  35. 160
  36. 68
  37. 23
  38. 3
  39. 46
  40. 18

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