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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 859 · 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? 9, 12, 15, 18, 21, ? (a) 25 (b) 27 (c) 23 (d) 24
  2. 2.What comes next? 10, 13, 17, 22, 28, ? (a) 37 (b) 36 (c) 34 (d) 35
  3. 3.What comes next? 17, 14, 11, 8, 5, ? (a) 2 (b) 1 (c) 3 (d) 4
  4. 4.What comes next? 56, 50, 44, 38, 32, ? (a) 27 (b) 20 (c) 26 (d) 25
  5. 5.What comes next? 34, 31, 28, 25, 22, ? (a) 20 (b) 16 (c) 18 (d) 19
  6. 6.What comes next? 17, 23, 22, 28, 27, 33, ? (a) 31 (b) 39 (c) 32 (d) 34
  7. 7.What comes next? 19, 17, 15, 13, 11, ? (a) 8 (b) 10 (c) 7 (d) 9
  8. 8.What comes next? 29, 35, 41, 47, 53, ? (a) 60 (b) 65 (c) 59 (d) 58
  9. 9.What comes next? 15, 19, 16, 20, 17, 21, ? (a) 24 (b) 25 (c) 18 (d) 17
  10. 10.What comes next? 47, 40, 33, 26, 19, ? (a) 11 (b) 13 (c) 5 (d) 12
  11. 11.What comes next? 3, 10, 9, 16, 15, 22, ? (a) 23 (b) 29 (c) 20 (d) 21
  12. 12.What comes next? 41, 36, 31, 26, 21, ? (a) 15 (b) 16 (c) 11 (d) 17
  13. 13.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 45 (d) 90
  14. 14.What comes next? 5, 12, 8, 15, 11, 18, ? (a) 13 (b) 22 (c) 25 (d) 14
  15. 15.What comes next? 8, 15, 22, 29, 36, ? (a) 42 (b) 50 (c) 44 (d) 43
  16. 16.What comes next? 8, 18, 28, 38, 48, ? (a) 59 (b) 68 (c) 58 (d) 57
  17. 17.What comes next? 12, 21, 14, 23, 16, 25, ? (a) 32 (b) 18 (c) 17 (d) 34
  18. 18.What comes next? 15, 21, 18, 24, 21, 27, ? (a) 23 (b) 33 (c) 30 (d) 24
  19. 19.What comes next? 2, 9, 16, 23, 30, ? (a) 38 (b) 37 (c) 36 (d) 44
  20. 20.What comes next? 12, 16, 21, 27, 34, ? (a) 42 (b) 43 (c) 41 (d) 44
  21. 21.What comes next? 18, 22, 27, 33, 40, ? (a) 47 (b) 49 (c) 50 (d) 48
  22. 22.What comes next? 10, 18, 11, 19, 12, 20, ? (a) 12 (b) 27 (c) 28 (d) 13
  23. 23.What comes next? 65, 58, 51, 44, 37, ? (a) 23 (b) 31 (c) 29 (d) 30
  24. 24.What comes next? 6, 11, 9, 14, 12, 17, ? (a) 15 (b) 19 (c) 22 (d) 14
  25. 25.What comes next? 14, 18, 17, 21, 20, 24, ? (a) 23 (b) 28 (c) 22 (d) 25
  26. 26.What comes next? 5, 13, 21, 29, 37, ? (a) 45 (b) 46 (c) 44 (d) 53
  27. 27.What comes next? 33, 31, 29, 27, 25, ? (a) 24 (b) 22 (c) 21 (d) 23
  28. 28.What comes next? 30, 42, 54, 66, 78, ? (a) 90 (b) 102 (c) 91 (d) 89
  29. 29.What comes next? 26, 31, 36, 41, 46, ? (a) 51 (b) 50 (c) 52 (d) 56
  30. 30.What comes next? 8, 10, 13, 17, 22, ? (a) 28 (b) 29 (c) 30 (d) 27
  31. 31.What comes next? 35, 32, 29, 26, 23, ? (a) 17 (b) 21 (c) 19 (d) 20
  32. 32.What comes next? 22, 20, 18, 16, 14, ? (a) 10 (b) 13 (c) 12 (d) 11
  33. 33.What comes next? 3, 9, 27, 81, ? (a) 243 (b) 216 (c) 270 (d) 135
  34. 34.What comes next? 12, 16, 20, 24, 28, ? (a) 31 (b) 33 (c) 32 (d) 36
  35. 35.What comes next? 24, 30, 36, 42, 48, ? (a) 55 (b) 54 (c) 53 (d) 60
  36. 36.What comes next? 63, 55, 47, 39, 31, ? (a) 23 (b) 15 (c) 24 (d) 22
  37. 37.What comes next? 3, 11, 9, 17, 15, 23, ? (a) 20 (b) 25 (c) 21 (d) 31
  38. 38.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 193 (d) 192
  39. 39.What comes next? 50, 41, 32, 23, 14, ? (a) 7 (b) 5 (c) 4 (d) 6
  40. 40.What comes next? 50, 45, 40, 35, 30, ? (a) 26 (b) 20 (c) 24 (d) 25

Answer key

  1. 24
  2. 35
  3. 2
  4. 26
  5. 19
  6. 32
  7. 9
  8. 59
  9. 18
  10. 12
  11. 21
  12. 16
  13. 81
  14. 14
  15. 43
  16. 58
  17. 18
  18. 24
  19. 37
  20. 42
  21. 48
  22. 13
  23. 30
  24. 15
  25. 23
  26. 45
  27. 23
  28. 90
  29. 51
  30. 28
  31. 20
  32. 12
  33. 243
  34. 32
  35. 54
  36. 23
  37. 21
  38. 192
  39. 5
  40. 25

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