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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 879 · 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, 17, 19, 22, 26, ? (a) 33 (b) 30 (c) 32 (d) 31
  2. 2.What comes next? 24, 28, 32, 36, 40, ? (a) 45 (b) 48 (c) 44 (d) 43
  3. 3.What comes next? 12, 24, 36, 48, 60, ? (a) 73 (b) 72 (c) 84 (d) 71
  4. 4.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 144 (c) 193 (d) 192
  5. 5.What comes next? 5, 10, 20, 40, 80, ? (a) 161 (b) 200 (c) 160 (d) 120
  6. 6.What comes next? 15, 17, 20, 24, 29, ? (a) 37 (b) 35 (c) 36 (d) 34
  7. 7.What comes next? 52, 46, 40, 34, 28, ? (a) 22 (b) 16 (c) 21 (d) 23
  8. 8.What comes next? 10, 14, 19, 25, 32, ? (a) 39 (b) 42 (c) 41 (d) 40
  9. 9.What comes next? 59, 53, 47, 41, 35, ? (a) 29 (b) 28 (c) 30 (d) 23
  10. 10.What comes next? 26, 31, 36, 41, 46, ? (a) 52 (b) 56 (c) 50 (d) 51
  11. 11.What comes next? 2, 11, 3, 12, 4, 13, ? (a) 4 (b) 21 (c) 22 (d) 5
  12. 12.What comes next? 38, 33, 28, 23, 18, ? (a) 14 (b) 8 (c) 12 (d) 13
  13. 13.What comes next? 14, 17, 20, 23, 26, ? (a) 32 (b) 28 (c) 30 (d) 29
  14. 14.What comes next? 1, 2, 4, 8, 16, ? (a) 40 (b) 32 (c) 33 (d) 24
  15. 15.What comes next? 20, 25, 24, 29, 28, 33, ? (a) 32 (b) 31 (c) 38 (d) 34
  16. 16.What comes next? 60, 54, 48, 42, 36, ? (a) 24 (b) 29 (c) 31 (d) 30
  17. 17.What comes next? 24, 21, 18, 15, 12, ? (a) 10 (b) 8 (c) 6 (d) 9
  18. 18.What comes next? 9, 12, 16, 21, 27, ? (a) 34 (b) 33 (c) 36 (d) 35
  19. 19.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 162 (d) 90
  20. 20.What comes next? 25, 28, 31, 34, 37, ? (a) 41 (b) 43 (c) 39 (d) 40
  21. 21.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 45 (c) 72 (d) 90
  22. 22.What comes next? 3, 14, 25, 36, 47, ? (a) 59 (b) 58 (c) 57 (d) 69
  23. 23.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 270 (d) 135
  24. 24.What comes next? 68, 59, 50, 41, 32, ? (a) 23 (b) 24 (c) 22 (d) 14
  25. 25.What comes next? 8, 12, 16, 20, 24, ? (a) 29 (b) 28 (c) 27 (d) 32
  26. 26.What comes next? 15, 16, 18, 21, 25, ? (a) 30 (b) 31 (c) 29 (d) 32
  27. 27.What comes next? 2, 13, 24, 35, 46, ? (a) 56 (b) 68 (c) 58 (d) 57
  28. 28.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 120 (c) 72 (d) 97
  29. 29.What comes next? 4, 8, 13, 19, 26, ? (a) 35 (b) 33 (c) 34 (d) 36
  30. 30.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 21 (c) 20 (d) 22
  31. 31.What comes next? 36, 34, 32, 30, 28, ? (a) 27 (b) 26 (c) 24 (d) 25
  32. 32.What comes next? 24, 20, 16, 12, 8, ? (a) 4 (b) 5 (c) 6 (d) 3
  33. 33.What comes next? 6, 10, 7, 11, 8, 12, ? (a) 8 (b) 9 (c) 16 (d) 15
  34. 34.What comes next? 25, 37, 49, 61, 73, ? (a) 97 (b) 86 (c) 84 (d) 85
  35. 35.What comes next? 65, 57, 49, 41, 33, ? (a) 26 (b) 17 (c) 25 (d) 24
  36. 36.What comes next? 18, 21, 25, 30, 36, ? (a) 43 (b) 42 (c) 45 (d) 44
  37. 37.What comes next? 53, 44, 35, 26, 17, ? (a) 10 (b) 8 (c) 7 (d) 9
  38. 38.What comes next? 5, 7, 10, 14, 19, ? (a) 27 (b) 24 (c) 25 (d) 26
  39. 39.What comes next? 5, 9, 8, 12, 11, 15, ? (a) 14 (b) 19 (c) 16 (d) 13
  40. 40.What comes next? 8, 12, 17, 23, 30, ? (a) 37 (b) 38 (c) 40 (d) 39

Answer key

  1. 31
  2. 44
  3. 72
  4. 192
  5. 160
  6. 35
  7. 22
  8. 40
  9. 29
  10. 51
  11. 5
  12. 13
  13. 29
  14. 32
  15. 32
  16. 30
  17. 9
  18. 34
  19. 162
  20. 40
  21. 81
  22. 58
  23. 243
  24. 23
  25. 28
  26. 30
  27. 57
  28. 96
  29. 34
  30. 20
  31. 26
  32. 4
  33. 9
  34. 85
  35. 25
  36. 43
  37. 8
  38. 25
  39. 14
  40. 38

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