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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 993 · 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? 7, 11, 9, 13, 11, 15, ? (a) 12 (b) 13 (c) 19 (d) 17
  2. 2.What comes next? 3, 6, 12, 24, 48, ? (a) 120 (b) 72 (c) 96 (d) 97
  3. 3.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 81 (d) 90
  4. 4.What comes next? 12, 13, 15, 18, 22, ? (a) 29 (b) 27 (c) 26 (d) 28
  5. 5.What comes next? 13, 17, 22, 28, 35, ? (a) 42 (b) 45 (c) 43 (d) 44
  6. 6.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 64 (c) 65 (d) 80
  7. 7.What comes next? 51, 42, 33, 24, 15, ? (a) 6 (b) 8 (c) 7 (d) 5
  8. 8.What comes next? 16, 20, 24, 28, 32, ? (a) 40 (b) 35 (c) 37 (d) 36
  9. 9.What comes next? 30, 27, 24, 21, 18, ? (a) 14 (b) 16 (c) 12 (d) 15
  10. 10.What comes next? 9, 12, 16, 21, 27, ? (a) 36 (b) 34 (c) 33 (d) 35
  11. 11.What comes next? 42, 36, 30, 24, 18, ? (a) 12 (b) 13 (c) 11 (d) 6
  12. 12.What comes next? 12, 14, 17, 21, 26, ? (a) 32 (b) 34 (c) 31 (d) 33
  13. 13.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 192 (d) 193
  14. 14.What comes next? 16, 28, 40, 52, 64, ? (a) 88 (b) 77 (c) 75 (d) 76
  15. 15.What comes next? 12, 18, 17, 23, 22, 28, ? (a) 26 (b) 34 (c) 29 (d) 27
  16. 16.What comes next? 64, 55, 46, 37, 28, ? (a) 20 (b) 10 (c) 18 (d) 19
  17. 17.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  18. 18.What comes next? 33, 30, 27, 24, 21, ? (a) 15 (b) 19 (c) 17 (d) 18
  19. 19.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 162 (c) 180 (d) 144
  20. 20.What comes next? 17, 20, 24, 29, 35, ? (a) 43 (b) 42 (c) 44 (d) 41
  21. 21.What comes next? 13, 16, 19, 22, 25, ? (a) 28 (b) 31 (c) 29 (d) 27
  22. 22.What comes next? 26, 21, 16, 11, 6, ? (a) 1 (b) 2 (c) 3 (d) 4
  23. 23.What comes next? 14, 15, 17, 20, 24, ? (a) 28 (b) 30 (c) 29 (d) 31
  24. 24.What comes next? 2, 4, 7, 11, 16, ? (a) 22 (b) 21 (c) 24 (d) 23
  25. 25.What comes next? 27, 23, 19, 15, 11, ? (a) 3 (b) 6 (c) 8 (d) 7
  26. 26.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 200 (c) 120 (d) 161
  27. 27.What comes next? 24, 33, 42, 51, 60, ? (a) 68 (b) 69 (c) 78 (d) 70
  28. 28.What comes next? 13, 17, 15, 19, 17, 21, ? (a) 19 (b) 18 (c) 23 (d) 25
  29. 29.What comes next? 17, 26, 25, 34, 33, 42, ? (a) 43 (b) 51 (c) 40 (d) 41
  30. 30.What comes next? 6, 9, 13, 18, 24, ? (a) 31 (b) 33 (c) 30 (d) 32
  31. 31.What comes next? 47, 40, 33, 26, 19, ? (a) 13 (b) 12 (c) 11 (d) 5
  32. 32.What comes next? 9, 13, 18, 24, 31, ? (a) 40 (b) 38 (c) 39 (d) 41
  33. 33.What comes next? 3, 10, 17, 24, 31, ? (a) 45 (b) 39 (c) 38 (d) 37
  34. 34.What comes next? 7, 10, 13, 16, 19, ? (a) 21 (b) 22 (c) 25 (d) 23
  35. 35.What comes next? 9, 12, 11, 14, 13, 16, ? (a) 17 (b) 14 (c) 15 (d) 19
  36. 36.What comes next? 24, 31, 38, 45, 52, ? (a) 58 (b) 60 (c) 66 (d) 59
  37. 37.What comes next? 4, 10, 9, 15, 14, 20, ? (a) 18 (b) 26 (c) 19 (d) 21
  38. 38.What comes next? 3, 6, 10, 15, 21, ? (a) 29 (b) 30 (c) 28 (d) 27
  39. 39.What comes next? 52, 47, 42, 37, 32, ? (a) 26 (b) 22 (c) 27 (d) 28
  40. 40.What comes next? 21, 18, 15, 12, 9, ? (a) 6 (b) 5 (c) 3 (d) 7

Answer key

  1. 13
  2. 96
  3. 81
  4. 27
  5. 43
  6. 64
  7. 6
  8. 36
  9. 15
  10. 34
  11. 12
  12. 32
  13. 192
  14. 76
  15. 27
  16. 19
  17. 243
  18. 18
  19. 162
  20. 42
  21. 28
  22. 1
  23. 29
  24. 22
  25. 7
  26. 160
  27. 69
  28. 19
  29. 41
  30. 31
  31. 12
  32. 39
  33. 38
  34. 22
  35. 15
  36. 59
  37. 19
  38. 28
  39. 27
  40. 6

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