Daily Practice · Higher
July 1981 5-a-day
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The batch download puts all 5 tiers' July 1981 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1981
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1981Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 152 cm^3. Work out the volume of the smaller.
- 2nd July 198127 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd July 1981A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 4th July 1981A mass is 340 kg, correct to the nearest 10. Write down the upper bound.
- 5th July 1981Work out the equation of the line parallel to y = -4x + 9 that passes through (5, -27).
- 6th July 1981A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 7th July 1981A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
- 8th July 19811 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th July 1981A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 10th July 1981Write 6^-1 as a fraction.
- 11th July 1981A line has equation y = -2x + 4. Work out the gradient of any line perpendicular to it.
- 12th July 1981y is inversely proportional to x. When x = 8, y = 36. Work out y when x = 12.
- 13th July 1981ABCD is a cyclic quadrilateral. Angle ABC is 124°. Work out angle ADC.
- 14th July 198116 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th July 1981Four classes in order have frequencies 10, 8, 9, 7. Write down the cumulative frequency at the end of the third class.
- 16th July 1981Work out (4 x 10^3) x (8 x 10^-6). Give your answer in standard form.
- 17th July 1981For the curve y = -50/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 18th July 1981y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 6.
- 19th July 1981A, B and C are points on a circle with centre O. Angle AOC is 142°. Work out angle ABC, where B is on the major arc.
- 20th July 19814 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st July 198160 beetles are marked and released. Later 60 are caught, of which 6 are marked. Estimate the population.
- 22nd July 1981Write the recurring decimal 0.2929... as a fraction in its simplest form.
- 23rd July 1981Expand and simplify (x + 1)(x + 5)(x - 3).
- 24th July 1981y is directly proportional to x. When x = 2, y = 16. Work out y when x = 8.
- 25th July 1981A cone has base radius 5 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 26th July 198130 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 July 1981A cumulative frequency graph is drawn for 212 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 28th July 1981A bill is £120 including VAT at 20%. Work out the amount before VAT.
- 29th July 1981Make x the subject of y = 7x^2 - 12.
- 30th July 1981A town's population is 30500 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 31st July 1981In triangle ABC, angle A is 63°, angle B is 31° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.