Daily Practice · Higher

March 1973 5-a-day

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March 1973

31 sheets · 155 questions · Grades 6-7

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Every sheet in March 1973

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

  1. 1st March 1973Make x the subject of y = 8x^2 - 11.
  2. 2nd March 1973y is directly proportional to x. When x = 5, y = 40. Work out y when x = 7.
  3. 3rd March 1973In triangle ABC, angle A is 57°, angle B is 88° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
  4. 4th March 19732 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  5. 5th March 1973A cumulative frequency graph is drawn for 116 values. What cumulative frequency do you read across from to estimate the lower quartile?
  6. 6th March 1973A meal deal has 4 mains, 8 sides and 4 drinks. How many different meals are possible?
  7. 7th March 1973Factorise x^2 - 49.
  8. 8th March 1973A town's population is 7000 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
  9. 9th March 1973A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
  10. 10th March 197321 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  11. 11th March 1973A box plot has a minimum of 9 and a maximum of 37. Work out the range.
  12. 12th March 1973A mass is 7 kg, correct to the nearest whole number. Write down the upper bound.
  13. 13th March 1973A region is defined by y <= 4x - 9. Should the boundary line be solid or dashed, and why?
  14. 14th March 1973A block has volume 75 cm^3 and density 7.5 g/cm^3. Work out its mass.
  15. 15th March 1973The point (-4, 6) is enlarged by scale factor -1 about the centre (1, 2). Write down the coordinates of the image.
  16. 16th March 19732 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  17. 17th March 1973A box plot has minimum 14, lower quartile 23, median 26, upper quartile 29 and maximum 39. Work out the interquartile range.
  18. 18th March 1973Write 9^-1 as a fraction.
  19. 19th March 1973Factorise x^2 - 8x + 15.
  20. 20th March 1973x : y = 2 : 9. Write y in terms of x.
  21. 21st March 1973Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 304 cm^3. Work out the volume of the smaller.
  22. 22nd March 197312 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
  23. 23rd March 1973A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
  24. 24th March 1973Work out (4 x 10^4) x (4 x 10^2). Give your answer in standard form.
  25. 25th March 1973Work out the equation of the line parallel to y = -3x + 6 that passes through (6, -13).
  26. 26th March 1973A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
  27. 27th March 1973A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
  28. 28th March 19732 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
  29. 29th March 1973A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
  30. 30th March 1973Write the recurring decimal 0.6060... as a fraction in its simplest form.
  31. 31st March 1973A line has equation y = 3x + 9. Work out the gradient of any line perpendicular to it.

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