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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 700 · 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? 15, 23, 31, 39, 47, ? (a) 56 (b) 54 (c) 63 (d) 55
  2. 2.What comes next? 8, 11, 15, 20, 26, ? (a) 35 (b) 34 (c) 32 (d) 33
  3. 3.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 90 (c) 162 (d) 144
  4. 4.What comes next? 8, 10, 12, 14, 16, ? (a) 20 (b) 19 (c) 17 (d) 18
  5. 5.What comes next? 14, 22, 15, 23, 16, 24, ? (a) 16 (b) 32 (c) 17 (d) 31
  6. 6.What comes next? 2, 8, 7, 13, 12, 18, ? (a) 24 (b) 19 (c) 16 (d) 17
  7. 7.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 120 (c) 160 (d) 161
  8. 8.What comes next? 21, 28, 35, 42, 49, ? (a) 56 (b) 57 (c) 55 (d) 63
  9. 9.What comes next? 19, 22, 26, 31, 37, ? (a) 45 (b) 43 (c) 44 (d) 46
  10. 10.What comes next? 54, 45, 36, 27, 18, ? (a) 11 (b) 9 (c) 10 (d) 8
  11. 11.What comes next? 18, 24, 21, 27, 24, 30, ? (a) 26 (b) 27 (c) 33 (d) 36
  12. 12.What comes next? 5, 11, 10, 16, 15, 21, ? (a) 22 (b) 20 (c) 19 (d) 27
  13. 13.What comes next? 1, 3, 9, 27, ? (a) 72 (b) 90 (c) 45 (d) 81
  14. 14.What comes next? 2, 5, 4, 7, 6, 9, ? (a) 7 (b) 10 (c) 8 (d) 12
  15. 15.What comes next? 23, 29, 35, 41, 47, ? (a) 54 (b) 52 (c) 53 (d) 59
  16. 16.What comes next? 21, 18, 15, 12, 9, ? (a) 5 (b) 3 (c) 6 (d) 7
  17. 17.What comes next? 14, 17, 16, 19, 18, 21, ? (a) 24 (b) 20 (c) 22 (d) 19
  18. 18.What comes next? 29, 26, 23, 20, 17, ? (a) 15 (b) 13 (c) 14 (d) 11
  19. 19.What comes next? 10, 13, 12, 15, 14, 17, ? (a) 20 (b) 15 (c) 16 (d) 18
  20. 20.What comes next? 51, 42, 33, 24, 15, ? (a) 7 (b) 5 (c) 6 (d) 8
  21. 21.What comes next? 56, 50, 44, 38, 32, ? (a) 25 (b) 20 (c) 26 (d) 27
  22. 22.What comes next? 25, 31, 37, 43, 49, ? (a) 61 (b) 56 (c) 54 (d) 55
  23. 23.What comes next? 10, 16, 15, 21, 20, 26, ? (a) 25 (b) 27 (c) 32 (d) 24
  24. 24.What comes next? 2, 4, 8, 16, 32, ? (a) 65 (b) 48 (c) 64 (d) 80
  25. 25.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 129 (c) 160 (d) 128
  26. 26.What comes next? 34, 29, 24, 19, 14, ? (a) 10 (b) 9 (c) 4 (d) 8
  27. 27.What comes next? 9, 12, 16, 21, 27, ? (a) 36 (b) 34 (c) 33 (d) 35
  28. 28.What comes next? 10, 13, 11, 14, 12, 15, ? (a) 17 (b) 18 (c) 12 (d) 13
  29. 29.What comes next? 11, 13, 15, 17, 19, ? (a) 20 (b) 23 (c) 21 (d) 22
  30. 30.What comes next? 14, 17, 15, 18, 16, 19, ? (a) 16 (b) 17 (c) 21 (d) 22
  31. 31.What comes next? 4, 8, 7, 11, 10, 14, ? (a) 13 (b) 12 (c) 18 (d) 15
  32. 32.What comes next? 8, 10, 13, 17, 22, ? (a) 30 (b) 27 (c) 28 (d) 29
  33. 33.What comes next? 28, 23, 18, 13, 8, ? (a) 2 (b) 5 (c) 4 (d) 3
  34. 34.What comes next? 8, 11, 9, 12, 10, 13, ? (a) 11 (b) 15 (c) 16 (d) 10
  35. 35.What comes next? 7, 19, 31, 43, 55, ? (a) 67 (b) 68 (c) 66 (d) 79
  36. 36.What comes next? 14, 20, 16, 22, 18, 24, ? (a) 28 (b) 19 (c) 30 (d) 20
  37. 37.What comes next? 30, 27, 24, 21, 18, ? (a) 16 (b) 12 (c) 14 (d) 15
  38. 38.What comes next? 6, 9, 12, 15, 18, ? (a) 24 (b) 22 (c) 21 (d) 20
  39. 39.What comes next? 16, 19, 17, 20, 18, 21, ? (a) 18 (b) 19 (c) 23 (d) 24
  40. 40.What comes next? 3, 6, 10, 15, 21, ? (a) 29 (b) 28 (c) 30 (d) 27

Answer key

  1. 55
  2. 33
  3. 162
  4. 18
  5. 17
  6. 17
  7. 160
  8. 56
  9. 44
  10. 9
  11. 27
  12. 20
  13. 81
  14. 8
  15. 53
  16. 6
  17. 20
  18. 14
  19. 16
  20. 6
  21. 26
  22. 55
  23. 25
  24. 64
  25. 128
  26. 9
  27. 34
  28. 13
  29. 21
  30. 17
  31. 13
  32. 28
  33. 3
  34. 11
  35. 67
  36. 20
  37. 15
  38. 21
  39. 19
  40. 28

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