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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 970 · 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? 11, 17, 23, 29, 35, ? (a) 40 (b) 42 (c) 41 (d) 47
  2. 2.What comes next? 16, 20, 24, 28, 32, ? (a) 37 (b) 35 (c) 36 (d) 40
  3. 3.What comes next? 4, 9, 14, 19, 24, ? (a) 34 (b) 30 (c) 29 (d) 28
  4. 4.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 160 (c) 120 (d) 161
  5. 5.What comes next? 11, 15, 20, 26, 33, ? (a) 43 (b) 42 (c) 41 (d) 40
  6. 6.What comes next? 19, 22, 20, 23, 21, 24, ? (a) 26 (b) 21 (c) 27 (d) 22
  7. 7.What comes next? 20, 24, 29, 35, 42, ? (a) 49 (b) 50 (c) 51 (d) 52
  8. 8.What comes next? 1, 2, 4, 8, 16, ? (a) 32 (b) 24 (c) 40 (d) 33
  9. 9.What comes next? 27, 22, 17, 12, 7, ? (a) 3 (b) 1 (c) 4 (d) 2
  10. 10.What comes next? 30, 27, 24, 21, 18, ? (a) 15 (b) 16 (c) 12 (d) 14
  11. 11.What comes next? 26, 24, 22, 20, 18, ? (a) 17 (b) 16 (c) 15 (d) 14
  12. 12.What comes next? 9, 20, 31, 42, 53, ? (a) 64 (b) 63 (c) 75 (d) 65
  13. 13.What comes next? 13, 17, 22, 28, 35, ? (a) 43 (b) 45 (c) 44 (d) 42
  14. 14.What comes next? 47, 39, 31, 23, 15, ? (a) 6 (b) 8 (c) 7 (d) 9
  15. 15.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 45 (c) 90 (d) 81
  16. 16.What comes next? 6, 17, 28, 39, 50, ? (a) 72 (b) 61 (c) 62 (d) 60
  17. 17.What comes next? 31, 26, 21, 16, 11, ? (a) 5 (b) 7 (c) 1 (d) 6
  18. 18.What comes next? 19, 17, 15, 13, 11, ? (a) 7 (b) 9 (c) 8 (d) 10
  19. 19.What comes next? 6, 8, 11, 15, 20, ? (a) 26 (b) 28 (c) 27 (d) 25
  20. 20.What comes next? 48, 40, 32, 24, 16, ? (a) 7 (b) 9 (c) 8 (d) 10
  21. 21.What comes next? 45, 42, 39, 36, 33, ? (a) 29 (b) 31 (c) 27 (d) 30
  22. 22.What comes next? 2, 4, 8, 16, 32, ? (a) 80 (b) 48 (c) 65 (d) 64
  23. 23.What comes next? 28, 32, 36, 40, 44, ? (a) 48 (b) 52 (c) 49 (d) 47
  24. 24.What comes next? 68, 60, 52, 44, 36, ? (a) 28 (b) 20 (c) 27 (d) 29
  25. 25.What comes next? 16, 21, 19, 24, 22, 27, ? (a) 25 (b) 29 (c) 32 (d) 24
  26. 26.What comes next? 1, 5, 10, 16, 23, ? (a) 33 (b) 30 (c) 32 (d) 31
  27. 27.What comes next? 33, 29, 25, 21, 17, ? (a) 14 (b) 12 (c) 9 (d) 13
  28. 28.What comes next? 7, 9, 11, 13, 15, ? (a) 19 (b) 18 (c) 16 (d) 17
  29. 29.What comes next? 36, 30, 24, 18, 12, ? (a) 7 (b) 8 (c) 6 (d) 5
  30. 30.What comes next? 29, 33, 37, 41, 45, ? (a) 48 (b) 50 (c) 53 (d) 49
  31. 31.What comes next? 7, 15, 8, 16, 9, 17, ? (a) 9 (b) 10 (c) 24 (d) 25
  32. 32.What comes next? 4, 10, 16, 22, 28, ? (a) 35 (b) 40 (c) 34 (d) 33
  33. 33.What comes next? 16, 17, 19, 22, 26, ? (a) 31 (b) 30 (c) 32 (d) 33
  34. 34.What comes next? 7, 11, 9, 13, 11, 15, ? (a) 12 (b) 19 (c) 17 (d) 13
  35. 35.What comes next? 22, 30, 38, 46, 54, ? (a) 63 (b) 61 (c) 70 (d) 62
  36. 36.What comes next? 30, 38, 46, 54, 62, ? (a) 78 (b) 69 (c) 70 (d) 71
  37. 37.What comes next? 16, 25, 22, 31, 28, 37, ? (a) 33 (b) 46 (c) 34 (d) 40
  38. 38.What comes next? 35, 33, 31, 29, 27, ? (a) 26 (b) 24 (c) 23 (d) 25
  39. 39.What comes next? 13, 16, 20, 25, 31, ? (a) 40 (b) 39 (c) 37 (d) 38
  40. 40.What comes next? 42, 39, 36, 33, 30, ? (a) 24 (b) 26 (c) 28 (d) 27

Answer key

  1. 41
  2. 36
  3. 29
  4. 160
  5. 41
  6. 22
  7. 50
  8. 32
  9. 2
  10. 15
  11. 16
  12. 64
  13. 43
  14. 7
  15. 81
  16. 61
  17. 6
  18. 9
  19. 26
  20. 8
  21. 30
  22. 64
  23. 48
  24. 28
  25. 25
  26. 31
  27. 13
  28. 17
  29. 6
  30. 49
  31. 10
  32. 34
  33. 31
  34. 13
  35. 62
  36. 70
  37. 34
  38. 25
  39. 38
  40. 27

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