Daily Practice · Higher
March 1987 5-a-day
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The batch download puts all 5 tiers' March 1987 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1987
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1987y is inversely proportional to x. When x = 9, y = 30. Work out y when x = 6.
- 2nd March 1987A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
- 3rd March 19873 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th March 1987Four classes in order have frequencies 6, 6, 8, 8. Write down the cumulative frequency at the end of the third class.
- 5th March 1987A bill is £72 including VAT at 20%. Work out the amount before VAT.
- 6th March 1987A line has equation y = -4x + 5. Work out the gradient of any line perpendicular to it.
- 7th March 1987y is directly proportional to x^2. When x = 6, y = 72. Work out y when x = 8.
- 8th March 1987ABCD is a cyclic quadrilateral. Angle ABC is 87°. Work out angle ADC.
- 9th March 198718 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th March 198740 beetles are marked and released. Later 16 are caught, of which 2 are marked. Estimate the population.
- 11th March 1987A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 12th March 1987For the curve y = -12/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 13th March 1987y is directly proportional to x. When x = 7, y = 77. Work out y when x = 3.
- 14th March 1987A, B and C are points on a circle with centre O. Angle AOC is 68°. Work out angle ABC, where B is on the major arc.
- 15th March 19872 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th March 1987A cumulative frequency graph is drawn for 100 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 17th March 1987Work out (14 x 10^6) / (7 x 10^2). Give your answer in standard form.
- 18th March 1987Expand and simplify (x + 3)(x - 5)(x - 3).
- 19th March 1987A town's population is 34000 and grows by 6% each year. Work out the population after 6 years, to the nearest whole number.
- 20th March 1987A cone has base radius 8 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 21st March 198716 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd March 1987A box plot has a minimum of 20 and a maximum of 69. Work out the range.
- 23rd March 1987Write the recurring decimal 0.555... as a fraction in its simplest form.
- 24th March 1987Make x the subject of y = 4x^2 - 2.
- 25th March 1987A block has volume 185 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 26th March 1987In triangle ABC, angle A is 52°, angle B is 85° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 27th March 19875 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th March 1987A box plot has minimum 14, lower quartile 23, median 29, upper quartile 35 and maximum 38. Work out the interquartile range.
- 29th March 1987Work out 16^(3/2).
- 30th March 1987Factorise x^2 - 100.
- 31st March 1987x : y = 3 : 4. Write y in terms of x.