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December 1985 5-a-day

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December 1985

31 sheets · 155 questions · Grades 6-7

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Every sheet in December 1985

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st December 1985In triangle ABC, angle A is 51°, angle B is 63° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
  2. 2nd December 19854 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  3. 3rd December 198515 fish are marked and released. Later 28 are caught, of which 4 are marked. Estimate the population.
  4. 4th December 1985A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
  5. 5th December 1985Factorise x^2 - 16.
  6. 6th December 1985y is directly proportional to x. When x = 5, y = 45. Work out y when x = 13.
  7. 7th December 1985A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
  8. 8th December 198519 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  9. 9th December 1985A cumulative frequency graph is drawn for 104 values. What cumulative frequency do you read across from to estimate the lower quartile?
  10. 10th December 1985Work out (35 x 10^7) / (5 x 10^3). Give your answer in standard form.
  11. 11th December 1985A region is defined by y <= 5x - 2. Should the boundary line be solid or dashed, and why?
  12. 12th December 1985A town's population is 17000 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
  13. 13th December 1985The point (-5, -2) is enlarged by scale factor -2 about the centre (4, 2). Write down the coordinates of the image.
  14. 14th December 19855 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  15. 15th December 1985A box plot has a minimum of 2 and a maximum of 16. Work out the range.
  16. 16th December 1985Write the recurring decimal 0.444... as a fraction in its simplest form.
  17. 17th December 1985Factorise x^2 + 2x - 35.
  18. 18th December 1985A block has volume 150 cm^3 and density 4 g/cm^3. Work out its mass.
  19. 19th December 1985Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 891 cm^3. Work out the volume of the smaller.
  20. 20th December 198521 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  21. 21st December 1985A box plot has minimum 4, lower quartile 7, median 17, upper quartile 27 and maximum 37. Work out the interquartile range.
  22. 22nd December 1985Work out 27^(2/3).
  23. 23rd December 1985Work out the equation of the line parallel to y = x - 5 that passes through (6, -5).
  24. 24th December 1985x : y = 5 : 6. Write y in terms of x.
  25. 25th December 1985A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
  26. 26th December 19852 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  27. 27th December 1985A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
  28. 28th December 1985Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
  29. 29th December 1985A line has equation y = -2x + 7. Work out the gradient of any line perpendicular to it.
  30. 30th December 1985A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
  31. 31st December 1985ABCD is a cyclic quadrilateral. Angle ABC is 87°. Work out angle ADC.

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