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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 676 · 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? 9, 15, 10, 16, 11, 17, ? (a) 22 (b) 23 (c) 11 (d) 12
  2. 2.What comes next? 31, 27, 23, 19, 15, ? (a) 11 (b) 7 (c) 12 (d) 10
  3. 3.What comes next? 20, 29, 21, 30, 22, 31, ? (a) 39 (b) 22 (c) 23 (d) 40
  4. 4.What comes next? 12, 15, 19, 24, 30, ? (a) 38 (b) 37 (c) 39 (d) 36
  5. 5.What comes next? 45, 37, 29, 21, 13, ? (a) 7 (b) 4 (c) 5 (d) 6
  6. 6.What comes next? 55, 47, 39, 31, 23, ? (a) 7 (b) 16 (c) 15 (d) 14
  7. 7.What comes next? 6, 13, 7, 14, 8, 15, ? (a) 22 (b) 9 (c) 8 (d) 21
  8. 8.What comes next? 4, 6, 9, 13, 18, ? (a) 25 (b) 24 (c) 26 (d) 23
  9. 9.What comes next? 3, 6, 5, 8, 7, 10, ? (a) 8 (b) 13 (c) 11 (d) 9
  10. 10.What comes next? 51, 46, 41, 36, 31, ? (a) 25 (b) 27 (c) 21 (d) 26
  11. 11.What comes next? 38, 35, 32, 29, 26, ? (a) 22 (b) 20 (c) 23 (d) 24
  12. 12.What comes next? 2, 11, 6, 15, 10, 19, ? (a) 24 (b) 14 (c) 28 (d) 13
  13. 13.What comes next? 57, 49, 41, 33, 25, ? (a) 9 (b) 16 (c) 17 (d) 18
  14. 14.What comes next? 21, 28, 35, 42, 49, ? (a) 57 (b) 56 (c) 63 (d) 55
  15. 15.What comes next? 17, 25, 18, 26, 19, 27, ? (a) 20 (b) 19 (c) 34 (d) 35
  16. 16.What comes next? 30, 27, 24, 21, 18, ? (a) 14 (b) 16 (c) 15 (d) 12
  17. 17.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 193 (c) 240 (d) 144
  18. 18.What comes next? 20, 23, 27, 32, 38, ? (a) 45 (b) 44 (c) 46 (d) 47
  19. 19.What comes next? 10, 16, 22, 28, 34, ? (a) 41 (b) 46 (c) 39 (d) 40
  20. 20.What comes next? 11, 13, 16, 20, 25, ? (a) 32 (b) 30 (c) 31 (d) 33
  21. 21.What comes next? 10, 14, 18, 22, 26, ? (a) 29 (b) 34 (c) 30 (d) 31
  22. 22.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 45 (c) 72 (d) 81
  23. 23.What comes next? 21, 19, 17, 15, 13, ? (a) 11 (b) 10 (c) 9 (d) 12
  24. 24.What comes next? 7, 9, 12, 16, 21, ? (a) 26 (b) 27 (c) 28 (d) 29
  25. 25.What comes next? 2, 4, 8, 16, 32, ? (a) 48 (b) 80 (c) 64 (d) 65
  26. 26.What comes next? 3, 6, 9, 12, 15, ? (a) 19 (b) 21 (c) 18 (d) 17
  27. 27.What comes next? 3, 6, 12, 24, 48, ? (a) 96 (b) 97 (c) 72 (d) 120
  28. 28.What comes next? 15, 19, 17, 21, 19, 23, ? (a) 27 (b) 21 (c) 20 (d) 25
  29. 29.What comes next? 4, 7, 5, 8, 6, 9, ? (a) 11 (b) 6 (c) 12 (d) 7
  30. 30.What comes next? 17, 21, 26, 32, 39, ? (a) 49 (b) 47 (c) 48 (d) 46
  31. 31.What comes next? 5, 7, 9, 11, 13, ? (a) 17 (b) 15 (c) 16 (d) 14
  32. 32.What comes next? 3, 9, 6, 12, 9, 15, ? (a) 11 (b) 12 (c) 21 (d) 18
  33. 33.What comes next? 27, 23, 19, 15, 11, ? (a) 6 (b) 8 (c) 7 (d) 3
  34. 34.What comes next? 6, 9, 13, 18, 24, ? (a) 33 (b) 31 (c) 32 (d) 30
  35. 35.What comes next? 15, 22, 21, 28, 27, 34, ? (a) 32 (b) 35 (c) 33 (d) 41
  36. 36.What comes next? 14, 20, 26, 32, 38, ? (a) 45 (b) 43 (c) 50 (d) 44
  37. 37.What comes next? 20, 25, 22, 27, 24, 29, ? (a) 25 (b) 26 (c) 34 (d) 32
  38. 38.What comes next? 2, 6, 18, 54, ? (a) 90 (b) 180 (c) 162 (d) 144
  39. 39.What comes next? 15, 23, 17, 25, 19, 27, ? (a) 33 (b) 20 (c) 35 (d) 21
  40. 40.What comes next? 27, 34, 41, 48, 55, ? (a) 61 (b) 62 (c) 63 (d) 69

Answer key

  1. 12
  2. 11
  3. 23
  4. 37
  5. 5
  6. 15
  7. 9
  8. 24
  9. 9
  10. 26
  11. 23
  12. 14
  13. 17
  14. 56
  15. 20
  16. 15
  17. 192
  18. 45
  19. 40
  20. 31
  21. 30
  22. 81
  23. 11
  24. 27
  25. 64
  26. 18
  27. 96
  28. 21
  29. 7
  30. 47
  31. 15
  32. 12
  33. 7
  34. 31
  35. 33
  36. 44
  37. 26
  38. 162
  39. 21
  40. 62

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