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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 980 · 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? 13, 19, 16, 22, 19, 25, ? (a) 31 (b) 21 (c) 22 (d) 28
  2. 2.What comes next? 2, 11, 9, 18, 16, 25, ? (a) 34 (b) 27 (c) 23 (d) 22
  3. 3.What comes next? 6, 12, 24, 48, 96, ? (a) 192 (b) 240 (c) 144 (d) 193
  4. 4.What comes next? 1, 2, 4, 8, 16, ? (a) 33 (b) 40 (c) 24 (d) 32
  5. 5.What comes next? 26, 28, 30, 32, 34, ? (a) 38 (b) 37 (c) 36 (d) 35
  6. 6.What comes next? 1, 2, 4, 7, 11, ? (a) 16 (b) 18 (c) 15 (d) 17
  7. 7.What comes next? 8, 10, 13, 17, 22, ? (a) 28 (b) 27 (c) 30 (d) 29
  8. 8.What comes next? 6, 11, 16, 21, 26, ? (a) 32 (b) 31 (c) 36 (d) 30
  9. 9.What comes next? 17, 14, 11, 8, 5, ? (a) 2 (b) 3 (c) 1 (d) 4
  10. 10.What comes next? 17, 25, 19, 27, 21, 29, ? (a) 35 (b) 23 (c) 37 (d) 22
  11. 11.What comes next? 15, 17, 20, 24, 29, ? (a) 37 (b) 36 (c) 35 (d) 34
  12. 12.What comes next? 2, 6, 18, 54, ? (a) 162 (b) 144 (c) 90 (d) 180
  13. 13.What comes next? 8, 11, 14, 17, 20, ? (a) 26 (b) 24 (c) 23 (d) 22
  14. 14.What comes next? 34, 28, 22, 16, 10, ? (a) 5 (b) 6 (c) 4 (d) 3
  15. 15.What comes next? 69, 60, 51, 42, 33, ? (a) 24 (b) 23 (c) 15 (d) 25
  16. 16.What comes next? 10, 19, 15, 24, 20, 29, ? (a) 24 (b) 25 (c) 33 (d) 38
  17. 17.What comes next? 14, 16, 18, 20, 22, ? (a) 23 (b) 25 (c) 26 (d) 24
  18. 18.What comes next? 32, 28, 24, 20, 16, ? (a) 11 (b) 13 (c) 12 (d) 8
  19. 19.What comes next? 6, 10, 15, 21, 28, ? (a) 37 (b) 35 (c) 36 (d) 38
  20. 20.What comes next? 37, 30, 23, 16, 9, ? (a) 4 (b) 1 (c) 3 (d) 2
  21. 21.What comes next? 8, 11, 15, 20, 26, ? (a) 35 (b) 34 (c) 32 (d) 33
  22. 22.What comes next? 10, 13, 16, 19, 22, ? (a) 25 (b) 24 (c) 28 (d) 26
  23. 23.What comes next? 5, 14, 12, 21, 19, 28, ? (a) 37 (b) 26 (c) 25 (d) 30
  24. 24.What comes next? 11, 14, 18, 23, 29, ? (a) 36 (b) 35 (c) 38 (d) 37
  25. 25.What comes next? 25, 22, 19, 16, 13, ? (a) 11 (b) 7 (c) 9 (d) 10
  26. 26.What comes next? 33, 28, 23, 18, 13, ? (a) 7 (b) 3 (c) 8 (d) 9
  27. 27.What comes next? 18, 16, 14, 12, 10, ? (a) 9 (b) 7 (c) 8 (d) 6
  28. 28.What comes next? 6, 15, 24, 33, 42, ? (a) 60 (b) 51 (c) 52 (d) 50
  29. 29.What comes next? 9, 13, 17, 21, 25, ? (a) 30 (b) 33 (c) 29 (d) 28
  30. 30.What comes next? 3, 6, 10, 15, 21, ? (a) 30 (b) 27 (c) 28 (d) 29
  31. 31.What comes next? 15, 24, 18, 27, 21, 30, ? (a) 24 (b) 23 (c) 36 (d) 39
  32. 32.What comes next? 20, 24, 21, 25, 22, 26, ? (a) 23 (b) 30 (c) 29 (d) 22
  33. 33.What comes next? 28, 35, 42, 49, 56, ? (a) 70 (b) 63 (c) 62 (d) 64
  34. 34.What comes next? 4, 8, 16, 32, 64, ? (a) 160 (b) 128 (c) 129 (d) 96
  35. 35.What comes next? 10, 16, 22, 28, 34, ? (a) 40 (b) 46 (c) 41 (d) 39
  36. 36.What comes next? 15, 24, 33, 42, 51, ? (a) 60 (b) 69 (c) 59 (d) 61
  37. 37.What comes next? 24, 22, 20, 18, 16, ? (a) 13 (b) 12 (c) 14 (d) 15
  38. 38.What comes next? 11, 18, 25, 32, 39, ? (a) 53 (b) 46 (c) 47 (d) 45
  39. 39.What comes next? 30, 37, 44, 51, 58, ? (a) 64 (b) 72 (c) 65 (d) 66
  40. 40.What comes next? 17, 15, 13, 11, 9, ? (a) 5 (b) 6 (c) 8 (d) 7

Answer key

  1. 22
  2. 23
  3. 192
  4. 32
  5. 36
  6. 16
  7. 28
  8. 31
  9. 2
  10. 23
  11. 35
  12. 162
  13. 23
  14. 4
  15. 24
  16. 25
  17. 24
  18. 12
  19. 36
  20. 2
  21. 33
  22. 25
  23. 26
  24. 36
  25. 10
  26. 8
  27. 8
  28. 51
  29. 29
  30. 28
  31. 24
  32. 23
  33. 63
  34. 128
  35. 40
  36. 60
  37. 14
  38. 46
  39. 65
  40. 7

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