Daily Practice · Higher
April 1989 5-a-day
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The batch download puts all 5 tiers' April 1989 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1989
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1989y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 9.
- 2nd April 1989Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 224 cm^3. Work out the volume of the smaller.
- 3rd April 198917 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th April 198940 newts are marked and released. Later 30 are caught, of which 5 are marked. Estimate the population.
- 5th April 1989A meal deal has 3 mains, 7 sides and 2 drinks. How many different meals are possible?
- 6th April 1989Work out the equation of the line parallel to y = -x + 2 that passes through (4, -5).
- 7th April 1989y is directly proportional to x. When x = 3, y = 21. Work out y when x = 6.
- 8th April 1989A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
- 9th April 19893 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th April 1989A cumulative frequency graph is drawn for 236 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 11th April 1989A mass is 26.4 kg, correct to 1 decimal place. Write down the lower bound.
- 12th April 1989A line has equation y = 2x + 1. Work out the gradient of any line perpendicular to it.
- 13th April 1989A town's population is 28500 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 14th April 1989ABCD is a cyclic quadrilateral. Angle ABC is 51°. Work out angle ADC.
- 15th April 198922 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th April 1989A box plot has a minimum of 8 and a maximum of 48. Work out the range.
- 17th April 1989Write 2^-1 as a fraction.
- 18th April 1989For the curve y = -1/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 19th April 1989A block has volume 130 cm^3 and density 11 g/cm^3. Work out its mass.
- 20th April 1989A, B and C are points on a circle with centre O. Angle AOC is 158°. Work out angle ABC, where B is on the major arc.
- 21st April 19891 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd April 1989A box plot has minimum 3, lower quartile 5, median 9, upper quartile 19 and maximum 29. Work out the interquartile range.
- 23rd April 1989Work out (9 x 10^5) x (4 x 10^6). Give your answer in standard form.
- 24th April 1989Expand and simplify (x + 4)(x - 2)(x + 5).
- 25th April 1989x : y = 2 : 7. Write y in terms of x.
- 26th April 1989A cone has base radius 3 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 27th April 198913 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th April 1989A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 29th April 1989Write the recurring decimal 0.4747... as a fraction in its simplest form.
- 30th April 1989Make x the subject of y = 6x^2 - 5.