Daily Practice · Higher
June 1990 5-a-day
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The batch download puts all 5 tiers' June 1990 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1990
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1990y is directly proportional to x. When x = 5, y = 55. Work out y when x = 4.
- 2nd June 1990The point (3, 5) is enlarged by scale factor -3 about the centre (-3, 3). Write down the coordinates of the image.
- 3rd June 19902 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th June 1990A cumulative frequency graph is drawn for 196 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5th June 1990A bill is £240 including VAT at 20%. Work out the amount before VAT.
- 6th June 1990Factorise x^2 - 4x - 5.
- 7th June 1990A town's population is 31500 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 8th June 1990Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1472 cm^3. Work out the volume of the smaller.
- 9th June 199027 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th June 1990A box plot has a minimum of 18 and a maximum of 31. Work out the range.
- 11th June 1990A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 12th June 1990Work out the equation of the line parallel to y = 4x + 7 that passes through (3, 24).
- 13th June 1990A block has volume 95 cm^3 and density 11 g/cm^3. Work out its mass.
- 14th June 1990A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
- 15th June 19903 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th June 1990A box plot has minimum 5, lower quartile 10, median 13, upper quartile 19 and maximum 22. Work out the interquartile range.
- 17th June 1990Work out (8 x 10^12) / (2 x 10^2). Give your answer in standard form.
- 18th June 1990A line has equation y = 3x + 2. Work out the gradient of any line perpendicular to it.
- 19th June 1990x : y = 3 : 8. Write y in terms of x.
- 20th June 1990ABCD is a cyclic quadrilateral. Angle ABC is 114°. Work out angle ADC.
- 21st June 199016 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd June 1990A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 23rd June 1990Write the recurring decimal 0.333... as a fraction in its simplest form.
- 24th June 1990For the curve y = 30/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 25th June 1990A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 26th June 1990A, B and C are points on a circle with centre O. Angle AOC is 52°. Work out angle ABC, where B is on the major arc.
- 27th June 19905 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th June 1990A histogram class is 2 units wide and contains 3 values. Work out the frequency density.
- 29th June 1990Work out 8^(2/3).
- 30th June 1990Expand and simplify (x - 2)(x - 1)(x - 1).