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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 959 · 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? 26, 22, 18, 14, 10, ? (a) 7 (b) 5 (c) 2 (d) 6
  2. 2.What comes next? 3, 6, 10, 15, 21, ? (a) 28 (b) 30 (c) 29 (d) 27
  3. 3.What comes next? 48, 43, 38, 33, 28, ? (a) 23 (b) 22 (c) 18 (d) 24
  4. 4.What comes next? 4, 7, 11, 16, 22, ? (a) 28 (b) 30 (c) 29 (d) 31
  5. 5.What comes next? 36, 31, 26, 21, 16, ? (a) 6 (b) 12 (c) 10 (d) 11
  6. 6.What comes next? 3, 9, 7, 13, 11, 17, ? (a) 19 (b) 23 (c) 14 (d) 15
  7. 7.What comes next? 42, 37, 32, 27, 22, ? (a) 17 (b) 18 (c) 16 (d) 12
  8. 8.What comes next? 2, 8, 14, 20, 26, ? (a) 32 (b) 31 (c) 38 (d) 33
  9. 9.What comes next? 3, 5, 7, 9, 11, ? (a) 15 (b) 14 (c) 13 (d) 12
  10. 10.What comes next? 10, 11, 13, 16, 20, ? (a) 27 (b) 25 (c) 24 (d) 26
  11. 11.What comes next? 6, 9, 13, 18, 24, ? (a) 32 (b) 31 (c) 33 (d) 30
  12. 12.What comes next? 21, 25, 29, 33, 37, ? (a) 45 (b) 42 (c) 41 (d) 40
  13. 13.What comes next? 52, 43, 34, 25, 16, ? (a) 6 (b) 9 (c) 7 (d) 8
  14. 14.What comes next? 48, 41, 34, 27, 20, ? (a) 12 (b) 13 (c) 14 (d) 6
  15. 15.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 90 (d) 180
  16. 16.What comes next? 48, 44, 40, 36, 32, ? (a) 28 (b) 27 (c) 29 (d) 24
  17. 17.What comes next? 9, 11, 13, 15, 17, ? (a) 21 (b) 19 (c) 18 (d) 20
  18. 18.What comes next? 10, 13, 16, 19, 22, ? (a) 24 (b) 28 (c) 26 (d) 25
  19. 19.What comes next? 10, 14, 19, 25, 32, ? (a) 40 (b) 42 (c) 41 (d) 39
  20. 20.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 80 (c) 48 (d) 65
  21. 21.What comes next? 8, 9, 11, 14, 18, ? (a) 25 (b) 24 (c) 23 (d) 22
  22. 22.What comes next? 10, 12, 15, 19, 24, ? (a) 30 (b) 29 (c) 32 (d) 31
  23. 23.What comes next? 8, 13, 9, 14, 10, 15, ? (a) 11 (b) 19 (c) 10 (d) 20
  24. 24.What comes next? 14, 25, 36, 47, 58, ? (a) 69 (b) 70 (c) 80 (d) 68
  25. 25.What comes next? 11, 17, 23, 29, 35, ? (a) 47 (b) 42 (c) 41 (d) 40
  26. 26.What comes next? 36, 30, 24, 18, 12, ? (a) 7 (b) 6 (c) 8 (d) 5
  27. 27.What comes next? 43, 36, 29, 22, 15, ? (a) 7 (b) 9 (c) 8 (d) 1
  28. 28.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  29. 29.What comes next? 2, 4, 7, 11, 16, ? (a) 23 (b) 22 (c) 21 (d) 24
  30. 30.What comes next? 19, 26, 25, 32, 31, 38, ? (a) 36 (b) 39 (c) 45 (d) 37
  31. 31.What comes next? 8, 11, 15, 20, 26, ? (a) 33 (b) 35 (c) 34 (d) 32
  32. 32.What comes next? 13, 16, 14, 17, 15, 18, ? (a) 15 (b) 21 (c) 16 (d) 20
  33. 33.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 161 (c) 200 (d) 160
  34. 34.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 160 (c) 128 (d) 129
  35. 35.What comes next? 63, 55, 47, 39, 31, ? (a) 24 (b) 22 (c) 23 (d) 15
  36. 36.What comes next? 16, 18, 21, 25, 30, ? (a) 37 (b) 38 (c) 35 (d) 36
  37. 37.What comes next? 6, 9, 7, 10, 8, 11, ? (a) 13 (b) 14 (c) 8 (d) 9
  38. 38.What comes next? 40, 35, 30, 25, 20, ? (a) 14 (b) 16 (c) 10 (d) 15
  39. 39.What comes next? 5, 10, 7, 12, 9, 14, ? (a) 19 (b) 17 (c) 10 (d) 11
  40. 40.What comes next? 2, 5, 9, 14, 20, ? (a) 26 (b) 29 (c) 28 (d) 27

Answer key

  1. 6
  2. 28
  3. 23
  4. 29
  5. 11
  6. 15
  7. 17
  8. 32
  9. 13
  10. 25
  11. 31
  12. 41
  13. 7
  14. 13
  15. 162
  16. 28
  17. 19
  18. 25
  19. 40
  20. 64
  21. 23
  22. 30
  23. 11
  24. 69
  25. 41
  26. 6
  27. 8
  28. 243
  29. 22
  30. 37
  31. 33
  32. 16
  33. 160
  34. 128
  35. 23
  36. 36
  37. 9
  38. 15
  39. 11
  40. 27

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