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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 962 · 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, 19, 22, 25, 28, ? (a) 32 (b) 34 (c) 30 (d) 31
  2. 2.What comes next? 18, 21, 20, 23, 22, 25, ? (a) 26 (b) 23 (c) 24 (d) 28
  3. 3.What comes next? 6, 9, 13, 18, 24, ? (a) 31 (b) 30 (c) 33 (d) 32
  4. 4.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 120 (c) 72 (d) 97
  5. 5.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 90 (c) 72 (d) 45
  6. 6.What comes next? 7, 10, 9, 12, 11, 14, ? (a) 17 (b) 12 (c) 15 (d) 13
  7. 7.What comes next? 52, 43, 34, 25, 16, ? (a) 6 (b) 7 (c) 8 (d) 9
  8. 8.What comes next? 17, 14, 11, 8, 5, ? (a) 2 (b) 4 (c) 1 (d) 3
  9. 9.What comes next? 20, 32, 44, 56, 68, ? (a) 81 (b) 79 (c) 92 (d) 80
  10. 10.What comes next? 5, 7, 9, 11, 13, ? (a) 15 (b) 16 (c) 14 (d) 17
  11. 11.What comes next? 4, 5, 7, 10, 14, ? (a) 19 (b) 18 (c) 21 (d) 20
  12. 12.What comes next? 3, 5, 7, 9, 11, ? (a) 12 (b) 14 (c) 13 (d) 15
  13. 13.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 192 (c) 144 (d) 240
  14. 14.What comes next? 18, 19, 21, 24, 28, ? (a) 32 (b) 34 (c) 35 (d) 33
  15. 15.What comes next? 9, 10, 12, 15, 19, ? (a) 26 (b) 23 (c) 24 (d) 25
  16. 16.What comes next? 12, 18, 13, 19, 14, 20, ? (a) 14 (b) 26 (c) 25 (d) 15
  17. 17.What comes next? 49, 43, 37, 31, 25, ? (a) 19 (b) 13 (c) 18 (d) 20
  18. 18.What comes next? 1, 6, 5, 10, 9, 14, ? (a) 12 (b) 13 (c) 15 (d) 19
  19. 19.What comes next? 48, 41, 34, 27, 20, ? (a) 6 (b) 13 (c) 14 (d) 12
  20. 20.What comes next? 3, 9, 15, 21, 27, ? (a) 39 (b) 34 (c) 32 (d) 33
  21. 21.What comes next? 48, 40, 32, 24, 16, ? (a) 10 (b) 9 (c) 8 (d) 7
  22. 22.What comes next? 15, 23, 21, 29, 27, 35, ? (a) 37 (b) 33 (c) 32 (d) 43
  23. 23.What comes next? 45, 42, 39, 36, 33, ? (a) 30 (b) 29 (c) 27 (d) 31
  24. 24.What comes next? 31, 25, 19, 13, 7, ? (a) 3 (b) 1 (c) 4 (d) 2
  25. 25.What comes next? 14, 19, 16, 21, 18, 23, ? (a) 19 (b) 20 (c) 28 (d) 26
  26. 26.What comes next? 10, 14, 19, 25, 32, ? (a) 42 (b) 41 (c) 40 (d) 39
  27. 27.What comes next? 12, 17, 13, 18, 14, 19, ? (a) 14 (b) 15 (c) 24 (d) 23
  28. 28.What comes next? 2, 5, 3, 6, 4, 7, ? (a) 10 (b) 9 (c) 5 (d) 4
  29. 29.What comes next? 34, 29, 24, 19, 14, ? (a) 10 (b) 8 (c) 4 (d) 9
  30. 30.What comes next? 25, 36, 47, 58, 69, ? (a) 81 (b) 80 (c) 79 (d) 91
  31. 31.What comes next? 46, 39, 32, 25, 18, ? (a) 10 (b) 4 (c) 11 (d) 12
  32. 32.What comes next? 20, 27, 25, 32, 30, 37, ? (a) 35 (b) 44 (c) 34 (d) 39
  33. 33.What comes next? 21, 17, 13, 9, 5, ? (a) 2 (b) 1 (c) 4 (d) 3
  34. 34.What comes next? 38, 31, 24, 17, 10, ? (a) 3 (b) 5 (c) 4 (d) 2
  35. 35.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 25 (c) 27 (d) 24
  36. 36.What comes next? 35, 33, 31, 29, 27, ? (a) 25 (b) 24 (c) 23 (d) 26
  37. 37.What comes next? 20, 27, 34, 41, 48, ? (a) 62 (b) 56 (c) 54 (d) 55
  38. 38.What comes next? 14, 18, 22, 26, 30, ? (a) 33 (b) 38 (c) 35 (d) 34
  39. 39.What comes next? 17, 28, 39, 50, 61, ? (a) 83 (b) 72 (c) 73 (d) 71
  40. 40.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 161 (c) 200 (d) 160

Answer key

  1. 31
  2. 24
  3. 31
  4. 96
  5. 81
  6. 13
  7. 7
  8. 2
  9. 80
  10. 15
  11. 19
  12. 13
  13. 192
  14. 33
  15. 24
  16. 15
  17. 19
  18. 13
  19. 13
  20. 33
  21. 8
  22. 33
  23. 30
  24. 1
  25. 20
  26. 40
  27. 15
  28. 5
  29. 9
  30. 80
  31. 11
  32. 35
  33. 1
  34. 3
  35. 25
  36. 25
  37. 55
  38. 34
  39. 72
  40. 160

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