Daily Practice · Higher
April 1987 5-a-day
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The batch download puts all 5 tiers' April 1987 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1987
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1987A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 2nd April 198711 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd April 1987A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 4th April 1987Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 5th April 1987A region is defined by y < 2x - 9. Should the boundary line be solid or dashed, and why?
- 6th April 1987A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 7th April 1987The point (5, 4) is enlarged by scale factor -2 about the centre (-2, 3). Write down the coordinates of the image.
- 8th April 19872 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th April 1987A histogram class is 4 units wide and contains 8 values. Work out the frequency density.
- 10th April 1987A meal deal has 5 mains, 4 sides and 6 drinks. How many different meals are possible?
- 11th April 1987Factorise x^2 - x - 30.
- 12th April 1987y is inversely proportional to x. When x = 5, y = 12. Work out y when x = 4.
- 13th April 1987Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 243 cm^3. Work out the volume of the smaller.
- 14th April 198717 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th April 1987Four classes in order have frequencies 3, 10, 12, 12. Write down the cumulative frequency at the end of the third class.
- 16th April 1987A mass is 690 kg, correct to the nearest 10. Write down the upper bound.
- 17th April 1987Work out the equation of the line parallel to y = -2x - 9 that passes through (4, -18).
- 18th April 1987y is directly proportional to x^2. When x = 6, y = 252. Work out y when x = 2.
- 19th April 1987A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 20th April 19872 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st April 198755 voles are marked and released. Later 48 are caught, of which 4 are marked. Estimate the population.
- 22nd April 1987Write 8^-1 as a fraction.
- 23rd April 1987A line has equation y = -3x + 7. Work out the gradient of any line perpendicular to it.
- 24th April 1987y is directly proportional to x. When x = 7, y = 49. Work out y when x = 8.
- 25th April 1987ABCD is a cyclic quadrilateral. Angle ABC is 82°. Work out angle ADC.
- 26th April 198721 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th April 1987A cumulative frequency graph is drawn for 124 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 28th April 1987Work out (6 x 10^4) x (6 x 10^-5). Give your answer in standard form.
- 29th April 1987For the curve y = 100/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 30th April 1987A town's population is 14000 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.