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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 957 · 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, 15, 20, 26, 33, ? (a) 40 (b) 42 (c) 41 (d) 43
  2. 2.What comes next? 18, 21, 25, 30, 36, ? (a) 43 (b) 42 (c) 45 (d) 44
  3. 3.What comes next? 40, 36, 32, 28, 24, ? (a) 19 (b) 21 (c) 16 (d) 20
  4. 4.What comes next? 19, 27, 21, 29, 23, 31, ? (a) 37 (b) 25 (c) 39 (d) 24
  5. 5.What comes next? 13, 14, 16, 19, 23, ? (a) 30 (b) 29 (c) 27 (d) 28
  6. 6.What comes next? 47, 39, 31, 23, 15, ? (a) 9 (b) 6 (c) 7 (d) 8
  7. 7.What comes next? 4, 7, 5, 8, 6, 9, ? (a) 12 (b) 6 (c) 7 (d) 11
  8. 8.What comes next? 12, 13, 15, 18, 22, ? (a) 29 (b) 27 (c) 28 (d) 26
  9. 9.What comes next? 28, 38, 48, 58, 68, ? (a) 88 (b) 77 (c) 79 (d) 78
  10. 10.What comes next? 1, 2, 4, 8, 16, ? (a) 24 (b) 40 (c) 33 (d) 32
  11. 11.What comes next? 39, 37, 35, 33, 31, ? (a) 27 (b) 28 (c) 30 (d) 29
  12. 12.What comes next? 5, 9, 13, 17, 21, ? (a) 25 (b) 24 (c) 29 (d) 26
  13. 13.What comes next? 8, 15, 22, 29, 36, ? (a) 44 (b) 42 (c) 43 (d) 50
  14. 14.What comes next? 12, 16, 20, 24, 28, ? (a) 33 (b) 36 (c) 32 (d) 31
  15. 15.What comes next? 49, 45, 41, 37, 33, ? (a) 30 (b) 25 (c) 28 (d) 29
  16. 16.What comes next? 3, 8, 7, 12, 11, 16, ? (a) 17 (b) 14 (c) 15 (d) 21
  17. 17.What comes next? 8, 19, 30, 41, 52, ? (a) 62 (b) 64 (c) 74 (d) 63
  18. 18.What comes next? 12, 15, 19, 24, 30, ? (a) 38 (b) 37 (c) 36 (d) 39
  19. 19.What comes next? 1, 3, 9, 27, ? (a) 45 (b) 72 (c) 90 (d) 81
  20. 20.What comes next? 23, 26, 29, 32, 35, ? (a) 37 (b) 38 (c) 41 (d) 39
  21. 21.What comes next? 9, 11, 14, 18, 23, ? (a) 31 (b) 28 (c) 30 (d) 29
  22. 22.What comes next? 3, 8, 6, 11, 9, 14, ? (a) 11 (b) 19 (c) 16 (d) 12
  23. 23.What comes next? 14, 15, 17, 20, 24, ? (a) 29 (b) 28 (c) 30 (d) 31
  24. 24.What comes next? 2, 9, 16, 23, 30, ? (a) 37 (b) 38 (c) 36 (d) 44
  25. 25.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 80 (c) 64 (d) 48
  26. 26.What comes next? 15, 16, 18, 21, 25, ? (a) 31 (b) 29 (c) 32 (d) 30
  27. 27.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 12 (b) 11 (c) 14 (d) 16
  28. 28.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 144 (c) 192 (d) 240
  29. 29.What comes next? 11, 19, 27, 35, 43, ? (a) 50 (b) 59 (c) 52 (d) 51
  30. 30.What comes next? 19, 28, 23, 32, 27, 36, ? (a) 41 (b) 30 (c) 45 (d) 31
  31. 31.What comes next? 15, 25, 35, 45, 55, ? (a) 64 (b) 65 (c) 66 (d) 75
  32. 32.What comes next? 23, 34, 45, 56, 67, ? (a) 77 (b) 79 (c) 89 (d) 78
  33. 33.What comes next? 2, 10, 3, 11, 4, 12, ? (a) 20 (b) 4 (c) 5 (d) 19
  34. 34.What comes next? 2, 6, 18, 54, ? (a) 144 (b) 180 (c) 162 (d) 90
  35. 35.What comes next? 3, 7, 12, 18, 25, ? (a) 35 (b) 32 (c) 34 (d) 33
  36. 36.What comes next? 13, 19, 25, 31, 37, ? (a) 42 (b) 44 (c) 49 (d) 43
  37. 37.What comes next? 18, 25, 22, 29, 26, 33, ? (a) 30 (b) 29 (c) 40 (d) 36
  38. 38.What comes next? 3, 9, 27, 81, ? (a) 135 (b) 216 (c) 243 (d) 270
  39. 39.What comes next? 30, 35, 40, 45, 50, ? (a) 55 (b) 56 (c) 54 (d) 60
  40. 40.What comes next? 19, 21, 24, 28, 33, ? (a) 40 (b) 41 (c) 38 (d) 39

Answer key

  1. 41
  2. 43
  3. 20
  4. 25
  5. 28
  6. 7
  7. 7
  8. 27
  9. 78
  10. 32
  11. 29
  12. 25
  13. 43
  14. 32
  15. 29
  16. 15
  17. 63
  18. 37
  19. 81
  20. 38
  21. 29
  22. 12
  23. 29
  24. 37
  25. 64
  26. 30
  27. 12
  28. 192
  29. 51
  30. 31
  31. 65
  32. 78
  33. 5
  34. 162
  35. 33
  36. 43
  37. 30
  38. 243
  39. 55
  40. 39

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