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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 901 · 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? 14, 23, 22, 31, 30, 39, ? (a) 48 (b) 40 (c) 37 (d) 38
  2. 2.What comes next? 28, 35, 42, 49, 56, ? (a) 70 (b) 64 (c) 63 (d) 62
  3. 3.What comes next? 31, 25, 19, 13, 7, ? (a) 3 (b) 1 (c) 4 (d) 2
  4. 4.What comes next? 11, 14, 17, 20, 23, ? (a) 27 (b) 25 (c) 26 (d) 29
  5. 5.What comes next? 29, 26, 23, 20, 17, ? (a) 14 (b) 11 (c) 15 (d) 13
  6. 6.What comes next? 24, 22, 20, 18, 16, ? (a) 13 (b) 15 (c) 12 (d) 14
  7. 7.What comes next? 7, 17, 27, 37, 47, ? (a) 56 (b) 67 (c) 58 (d) 57
  8. 8.What comes next? 11, 13, 15, 17, 19, ? (a) 23 (b) 21 (c) 22 (d) 20
  9. 9.What comes next? 9, 10, 12, 15, 19, ? (a) 26 (b) 24 (c) 25 (d) 23
  10. 10.What comes next? 27, 31, 35, 39, 43, ? (a) 51 (b) 46 (c) 48 (d) 47
  11. 11.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 32 (d) 24
  12. 12.What comes next? 1, 3, 9, 27, ? (a) 90 (b) 81 (c) 72 (d) 45
  13. 13.What comes next? 35, 32, 29, 26, 23, ? (a) 17 (b) 21 (c) 19 (d) 20
  14. 14.What comes next? 6, 16, 26, 36, 46, ? (a) 55 (b) 66 (c) 57 (d) 56
  15. 15.What comes next? 2, 8, 7, 13, 12, 18, ? (a) 17 (b) 24 (c) 16 (d) 19
  16. 16.What comes next? 9, 20, 31, 42, 53, ? (a) 63 (b) 65 (c) 75 (d) 64
  17. 17.What comes next? 5, 10, 20, 40, 80, ? (a) 200 (b) 161 (c) 120 (d) 160
  18. 18.What comes next? 21, 31, 41, 51, 61, ? (a) 72 (b) 70 (c) 71 (d) 81
  19. 19.What comes next? 14, 26, 38, 50, 62, ? (a) 86 (b) 73 (c) 74 (d) 75
  20. 20.What comes next? 6, 12, 24, 48, 96, ? (a) 193 (b) 144 (c) 240 (d) 192
  21. 21.What comes next? 2, 5, 8, 11, 14, ? (a) 20 (b) 16 (c) 17 (d) 18
  22. 22.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 129 (c) 96 (d) 128
  23. 23.What comes next? 2, 6, 18, 54, ? (a) 180 (b) 144 (c) 162 (d) 90
  24. 24.What comes next? 18, 25, 23, 30, 28, 35, ? (a) 37 (b) 42 (c) 33 (d) 32
  25. 25.What comes next? 9, 19, 29, 39, 49, ? (a) 60 (b) 59 (c) 58 (d) 69
  26. 26.What comes next? 17, 24, 20, 27, 23, 30, ? (a) 25 (b) 34 (c) 26 (d) 37
  27. 27.What comes next? 2, 6, 4, 8, 6, 10, ? (a) 14 (b) 8 (c) 7 (d) 12
  28. 28.What comes next? 6, 17, 28, 39, 50, ? (a) 60 (b) 72 (c) 61 (d) 62
  29. 29.What comes next? 7, 9, 12, 16, 21, ? (a) 26 (b) 27 (c) 28 (d) 29
  30. 30.What comes next? 7, 10, 14, 19, 25, ? (a) 33 (b) 32 (c) 31 (d) 34
  31. 31.What comes next? 42, 38, 34, 30, 26, ? (a) 23 (b) 18 (c) 21 (d) 22
  32. 32.What comes next? 19, 27, 21, 29, 23, 31, ? (a) 24 (b) 25 (c) 39 (d) 37
  33. 33.What comes next? 20, 22, 24, 26, 28, ? (a) 31 (b) 30 (c) 32 (d) 29
  34. 34.What comes next? 20, 23, 27, 32, 38, ? (a) 45 (b) 46 (c) 44 (d) 47
  35. 35.What comes next? 9, 13, 18, 24, 31, ? (a) 39 (b) 41 (c) 40 (d) 38
  36. 36.What comes next? 2, 4, 8, 16, 32, ? (a) 64 (b) 80 (c) 65 (d) 48
  37. 37.What comes next? 4, 6, 8, 10, 12, ? (a) 13 (b) 14 (c) 16 (d) 15
  38. 38.What comes next? 46, 37, 28, 19, 10, ? (a) 1 (b) 2 (c) 3 (d) 4
  39. 39.What comes next? 18, 20, 23, 27, 32, ? (a) 39 (b) 38 (c) 37 (d) 40
  40. 40.What comes next? 2, 6, 11, 17, 24, ? (a) 32 (b) 33 (c) 34 (d) 31

Answer key

  1. 38
  2. 63
  3. 1
  4. 26
  5. 14
  6. 14
  7. 57
  8. 21
  9. 24
  10. 47
  11. 32
  12. 81
  13. 20
  14. 56
  15. 17
  16. 64
  17. 160
  18. 71
  19. 74
  20. 192
  21. 17
  22. 128
  23. 162
  24. 33
  25. 59
  26. 26
  27. 8
  28. 61
  29. 27
  30. 32
  31. 22
  32. 25
  33. 30
  34. 45
  35. 39
  36. 64
  37. 14
  38. 1
  39. 38
  40. 32

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