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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 761 · 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? 2, 6, 18, 54, ? (a) 144 (b) 162 (c) 90 (d) 180
  2. 2.What comes next? 39, 34, 29, 24, 19, ? (a) 15 (b) 9 (c) 13 (d) 14
  3. 3.What comes next? 9, 10, 12, 15, 19, ? (a) 26 (b) 24 (c) 23 (d) 25
  4. 4.What comes next? 15, 18, 21, 24, 27, ? (a) 31 (b) 29 (c) 30 (d) 33
  5. 5.What comes next? 5, 11, 8, 14, 11, 17, ? (a) 20 (b) 13 (c) 23 (d) 14
  6. 6.What comes next? 19, 22, 20, 23, 21, 24, ? (a) 27 (b) 26 (c) 21 (d) 22
  7. 7.What comes next? 18, 24, 30, 36, 42, ? (a) 49 (b) 48 (c) 54 (d) 47
  8. 8.What comes next? 5, 7, 10, 14, 19, ? (a) 26 (b) 24 (c) 27 (d) 25
  9. 9.What comes next? 22, 19, 16, 13, 10, ? (a) 4 (b) 7 (c) 6 (d) 8
  10. 10.What comes next? 17, 24, 18, 25, 19, 26, ? (a) 33 (b) 32 (c) 19 (d) 20
  11. 11.What comes next? 8, 11, 14, 17, 20, ? (a) 22 (b) 26 (c) 23 (d) 24
  12. 12.What comes next? 10, 14, 13, 17, 16, 20, ? (a) 24 (b) 21 (c) 18 (d) 19
  13. 13.What comes next? 34, 29, 24, 19, 14, ? (a) 10 (b) 9 (c) 8 (d) 4
  14. 14.What comes next? 8, 12, 11, 15, 14, 18, ? (a) 22 (b) 16 (c) 17 (d) 19
  15. 15.What comes next? 55, 49, 43, 37, 31, ? (a) 26 (b) 19 (c) 24 (d) 25
  16. 16.What comes next? 18, 21, 25, 30, 36, ? (a) 43 (b) 45 (c) 44 (d) 42
  17. 17.What comes next? 29, 27, 25, 23, 21, ? (a) 17 (b) 19 (c) 18 (d) 20
  18. 18.What comes next? 32, 28, 24, 20, 16, ? (a) 12 (b) 13 (c) 11 (d) 8
  19. 19.What comes next? 11, 16, 13, 18, 15, 20, ? (a) 25 (b) 23 (c) 16 (d) 17
  20. 20.What comes next? 24, 30, 36, 42, 48, ? (a) 55 (b) 60 (c) 54 (d) 53
  21. 21.What comes next? 59, 50, 41, 32, 23, ? (a) 5 (b) 15 (c) 14 (d) 13
  22. 22.What comes next? 5, 10, 20, 40, 80, ? (a) 120 (b) 200 (c) 160 (d) 161
  23. 23.What comes next? 8, 17, 16, 25, 24, 33, ? (a) 31 (b) 42 (c) 34 (d) 32
  24. 24.What comes next? 18, 16, 14, 12, 10, ? (a) 6 (b) 9 (c) 7 (d) 8
  25. 25.What comes next? 64, 55, 46, 37, 28, ? (a) 20 (b) 18 (c) 19 (d) 10
  26. 26.What comes next? 30, 33, 36, 39, 42, ? (a) 46 (b) 44 (c) 48 (d) 45
  27. 27.What comes next? 16, 21, 26, 31, 36, ? (a) 46 (b) 41 (c) 42 (d) 40
  28. 28.What comes next? 5, 8, 7, 10, 9, 12, ? (a) 15 (b) 11 (c) 10 (d) 13
  29. 29.What comes next? 28, 23, 18, 13, 8, ? (a) 3 (b) 4 (c) 5 (d) 2
  30. 30.What comes next? 68, 59, 50, 41, 32, ? (a) 23 (b) 24 (c) 14 (d) 22
  31. 31.What comes next? 17, 18, 20, 23, 27, ? (a) 31 (b) 32 (c) 34 (d) 33
  32. 32.What comes next? 18, 22, 19, 23, 20, 24, ? (a) 20 (b) 28 (c) 21 (d) 27
  33. 33.What comes next? 17, 29, 41, 53, 65, ? (a) 76 (b) 77 (c) 89 (d) 78
  34. 34.What comes next? 42, 35, 28, 21, 14, ? (a) 8 (b) 7 (c) 6 (d) 9
  35. 35.What comes next? 7, 11, 9, 13, 11, 15, ? (a) 13 (b) 12 (c) 19 (d) 17
  36. 36.What comes next? 12, 20, 17, 25, 22, 30, ? (a) 33 (b) 27 (c) 38 (d) 26
  37. 37.What comes next? 14, 16, 19, 23, 28, ? (a) 33 (b) 35 (c) 36 (d) 34
  38. 38.What comes next? 3, 10, 6, 13, 9, 16, ? (a) 11 (b) 23 (c) 12 (d) 20
  39. 39.What comes next? 35, 30, 25, 20, 15, ? (a) 11 (b) 9 (c) 5 (d) 10
  40. 40.What comes next? 2, 4, 7, 11, 16, ? (a) 21 (b) 24 (c) 23 (d) 22

Answer key

  1. 162
  2. 14
  3. 24
  4. 30
  5. 14
  6. 22
  7. 48
  8. 25
  9. 7
  10. 20
  11. 23
  12. 19
  13. 9
  14. 17
  15. 25
  16. 43
  17. 19
  18. 12
  19. 17
  20. 54
  21. 14
  22. 160
  23. 32
  24. 8
  25. 19
  26. 45
  27. 41
  28. 11
  29. 3
  30. 23
  31. 32
  32. 21
  33. 77
  34. 7
  35. 13
  36. 27
  37. 34
  38. 12
  39. 10
  40. 22

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