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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 853 · 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? 17, 20, 19, 22, 21, 24, ? (a) 27 (b) 23 (c) 25 (d) 22
  2. 2.What comes next? 11, 17, 23, 29, 35, ? (a) 42 (b) 47 (c) 41 (d) 40
  3. 3.What comes next? 10, 20, 30, 40, 50, ? (a) 70 (b) 61 (c) 60 (d) 59
  4. 4.What comes next? 46, 41, 36, 31, 26, ? (a) 16 (b) 20 (c) 21 (d) 22
  5. 5.What comes next? 4, 8, 16, 32, 64, ? (a) 128 (b) 129 (c) 96 (d) 160
  6. 6.What comes next? 59, 50, 41, 32, 23, ? (a) 13 (b) 14 (c) 5 (d) 15
  7. 7.What comes next? 15, 16, 18, 21, 25, ? (a) 30 (b) 32 (c) 31 (d) 29
  8. 8.What comes next? 49, 45, 41, 37, 33, ? (a) 30 (b) 29 (c) 25 (d) 28
  9. 9.What comes next? 13, 17, 15, 19, 17, 21, ? (a) 25 (b) 23 (c) 19 (d) 18
  10. 10.What comes next? 26, 23, 20, 17, 14, ? (a) 8 (b) 11 (c) 10 (d) 12
  11. 11.What comes next? 17, 15, 13, 11, 9, ? (a) 6 (b) 7 (c) 5 (d) 8
  12. 12.What comes next? 9, 15, 14, 20, 19, 25, ? (a) 26 (b) 23 (c) 31 (d) 24
  13. 13.What comes next? 3, 8, 6, 11, 9, 14, ? (a) 12 (b) 19 (c) 11 (d) 16
  14. 14.What comes next? 27, 29, 31, 33, 35, ? (a) 36 (b) 39 (c) 38 (d) 37
  15. 15.What comes next? 21, 23, 25, 27, 29, ? (a) 31 (b) 33 (c) 32 (d) 30
  16. 16.What comes next? 17, 18, 20, 23, 27, ? (a) 32 (b) 31 (c) 34 (d) 33
  17. 17.What comes next? 64, 57, 50, 43, 36, ? (a) 22 (b) 28 (c) 29 (d) 30
  18. 18.What comes next? 11, 18, 16, 23, 21, 28, ? (a) 26 (b) 35 (c) 25 (d) 30
  19. 19.What comes next? 6, 12, 24, 48, 96, ? (a) 240 (b) 193 (c) 144 (d) 192
  20. 20.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 162 (d) 90
  21. 21.What comes next? 17, 20, 24, 29, 35, ? (a) 42 (b) 43 (c) 41 (d) 44
  22. 22.What comes next? 14, 16, 19, 23, 28, ? (a) 34 (b) 36 (c) 33 (d) 35
  23. 23.What comes next? 44, 36, 28, 20, 12, ? (a) 3 (b) 5 (c) 4 (d) 6
  24. 24.What comes next? 39, 35, 31, 27, 23, ? (a) 15 (b) 20 (c) 19 (d) 18
  25. 25.What comes next? 14, 22, 20, 28, 26, 34, ? (a) 36 (b) 32 (c) 42 (d) 31
  26. 26.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 15 (b) 13 (c) 10 (d) 11
  27. 27.What comes next? 64, 56, 48, 40, 32, ? (a) 24 (b) 25 (c) 23 (d) 16
  28. 28.What comes next? 3, 4, 6, 9, 13, ? (a) 18 (b) 20 (c) 19 (d) 17
  29. 29.What comes next? 42, 34, 26, 18, 10, ? (a) 4 (b) 1 (c) 2 (d) 3
  30. 30.What comes next? 45, 41, 37, 33, 29, ? (a) 21 (b) 25 (c) 24 (d) 26
  31. 31.What comes next? 23, 20, 17, 14, 11, ? (a) 9 (b) 7 (c) 5 (d) 8
  32. 32.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 270 (c) 243 (d) 135
  33. 33.What comes next? 11, 15, 19, 23, 27, ? (a) 32 (b) 30 (c) 35 (d) 31
  34. 34.What comes next? 16, 13, 10, 7, 4, ? (a) 3 (b) 2 (c) 1 (d) 4
  35. 35.What comes next? 14, 21, 16, 23, 18, 25, ? (a) 30 (b) 32 (c) 19 (d) 20
  36. 36.What comes next? 47, 43, 39, 35, 31, ? (a) 23 (b) 27 (c) 28 (d) 26
  37. 37.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 27 (c) 24 (d) 25
  38. 38.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 48 (c) 80 (d) 65
  39. 39.What comes next? 1, 7, 5, 11, 9, 15, ? (a) 12 (b) 17 (c) 13 (d) 21
  40. 40.What comes next? 58, 52, 46, 40, 34, ? (a) 27 (b) 29 (c) 28 (d) 22

Answer key

  1. 23
  2. 41
  3. 60
  4. 21
  5. 128
  6. 14
  7. 30
  8. 29
  9. 19
  10. 11
  11. 7
  12. 24
  13. 12
  14. 37
  15. 31
  16. 32
  17. 29
  18. 26
  19. 192
  20. 162
  21. 42
  22. 34
  23. 4
  24. 19
  25. 32
  26. 11
  27. 24
  28. 18
  29. 2
  30. 25
  31. 8
  32. 243
  33. 31
  34. 1
  35. 20
  36. 27
  37. 25
  38. 64
  39. 13
  40. 28

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