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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 894 · 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? 5, 9, 14, 20, 27, ? (a) 36 (b) 35 (c) 34 (d) 37
  2. 2.What comes next? 5, 6, 8, 11, 15, ? (a) 19 (b) 21 (c) 20 (d) 22
  3. 3.What comes next? 6, 9, 8, 11, 10, 13, ? (a) 16 (b) 12 (c) 14 (d) 11
  4. 4.What comes next? 12, 14, 17, 21, 26, ? (a) 31 (b) 33 (c) 34 (d) 32
  5. 5.What comes next? 8, 18, 28, 38, 48, ? (a) 58 (b) 57 (c) 68 (d) 59
  6. 6.What comes next? 46, 39, 32, 25, 18, ? (a) 10 (b) 11 (c) 12 (d) 4
  7. 7.What comes next? 46, 37, 28, 19, 10, ? (a) 3 (b) 2 (c) 1 (d) 4
  8. 8.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 128 (d) 96
  9. 9.What comes next? 9, 10, 12, 15, 19, ? (a) 24 (b) 26 (c) 23 (d) 25
  10. 10.What comes next? 42, 34, 26, 18, 10, ? (a) 2 (b) 3 (c) 1 (d) 4
  11. 11.What comes next? 6, 18, 30, 42, 54, ? (a) 78 (b) 65 (c) 66 (d) 67
  12. 12.What comes next? 47, 42, 37, 32, 27, ? (a) 17 (b) 22 (c) 21 (d) 23
  13. 13.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 72 (c) 45 (d) 81
  14. 14.What comes next? 1, 4, 8, 13, 19, ? (a) 26 (b) 28 (c) 27 (d) 25
  15. 15.What comes next? 25, 21, 17, 13, 9, ? (a) 4 (b) 5 (c) 1 (d) 6
  16. 16.What comes next? 52, 43, 34, 25, 16, ? (a) 7 (b) 8 (c) 9 (d) 6
  17. 17.What comes next? 2, 8, 14, 20, 26, ? (a) 33 (b) 31 (c) 32 (d) 38
  18. 18.What comes next? 20, 27, 34, 41, 48, ? (a) 54 (b) 62 (c) 55 (d) 56
  19. 19.What comes next? 56, 50, 44, 38, 32, ? (a) 20 (b) 25 (c) 27 (d) 26
  20. 20.What comes next? 16, 13, 10, 7, 4, ? (a) 1 (b) 2 (c) 3 (d) 4
  21. 21.What comes next? 5, 8, 12, 17, 23, ? (a) 29 (b) 32 (c) 31 (d) 30
  22. 22.What comes next? 6, 15, 24, 33, 42, ? (a) 50 (b) 60 (c) 51 (d) 52
  23. 23.What comes next? 22, 31, 40, 49, 58, ? (a) 66 (b) 68 (c) 67 (d) 76
  24. 24.What comes next? 17, 26, 35, 44, 53, ? (a) 61 (b) 63 (c) 62 (d) 71
  25. 25.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 240 (c) 192 (d) 144
  26. 26.What comes next? 17, 21, 26, 32, 39, ? (a) 47 (b) 48 (c) 49 (d) 46
  27. 27.What comes next? 28, 33, 38, 43, 48, ? (a) 58 (b) 52 (c) 54 (d) 53
  28. 28.What comes next? 16, 23, 17, 24, 18, 25, ? (a) 19 (b) 18 (c) 32 (d) 31
  29. 29.What comes next? 22, 20, 18, 16, 14, ? (a) 10 (b) 11 (c) 13 (d) 12
  30. 30.What comes next? 19, 16, 13, 10, 7, ? (a) 4 (b) 1 (c) 3 (d) 5
  31. 31.What comes next? 2, 6, 5, 9, 8, 12, ? (a) 10 (b) 13 (c) 16 (d) 11
  32. 32.What comes next? 38, 35, 32, 29, 26, ? (a) 20 (b) 23 (c) 24 (d) 22
  33. 33.What comes next? 27, 23, 19, 15, 11, ? (a) 3 (b) 7 (c) 8 (d) 6
  34. 34.What comes next? 11, 14, 18, 23, 29, ? (a) 38 (b) 37 (c) 35 (d) 36
  35. 35.What comes next? 11, 16, 15, 20, 19, 24, ? (a) 23 (b) 29 (c) 25 (d) 22
  36. 36.What comes next? 45, 37, 29, 21, 13, ? (a) 7 (b) 6 (c) 4 (d) 5
  37. 37.What comes next? 15, 21, 27, 33, 39, ? (a) 45 (b) 44 (c) 46 (d) 51
  38. 38.What comes next? 15, 20, 16, 21, 17, 22, ? (a) 27 (b) 18 (c) 17 (d) 26
  39. 39.What comes next? 59, 51, 43, 35, 27, ? (a) 11 (b) 20 (c) 19 (d) 18
  40. 40.What comes next? 18, 15, 12, 9, 6, ? (a) 3 (b) 2 (c) 4 (d) 5

Answer key

  1. 35
  2. 20
  3. 12
  4. 32
  5. 58
  6. 11
  7. 1
  8. 128
  9. 24
  10. 2
  11. 66
  12. 22
  13. 81
  14. 26
  15. 5
  16. 7
  17. 32
  18. 55
  19. 26
  20. 1
  21. 30
  22. 51
  23. 67
  24. 62
  25. 192
  26. 47
  27. 53
  28. 19
  29. 12
  30. 4
  31. 11
  32. 23
  33. 7
  34. 36
  35. 23
  36. 5
  37. 45
  38. 18
  39. 19
  40. 3

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