Daily Practice · Higher
August 1952 5-a-day
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The batch download puts all 5 tiers' August 1952 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1952
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1952y is directly proportional to x. When x = 5, y = 25. Work out y when x = 10.
- 2nd August 1952Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 432 cm^3. Work out the volume of the smaller.
- 3rd August 195212 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 August 1952A cumulative frequency graph is drawn for 100 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5th August 1952A mass is 12 kg, correct to the nearest whole number. Write down the lower bound.
- 6th August 1952Work out the equation of the line parallel to y = 5x - 1 that passes through (1, 10).
- 7th August 1952A town's population is 15500 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 8th August 1952A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 9th August 19525 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th August 1952A box plot has a minimum of 10 and a maximum of 34. Work out the range.
- 11th August 1952Write 4^-3 as a fraction.
- 12th August 1952A line has equation y = 2x + 6. Work out the gradient of any line perpendicular to it.
- 13th August 1952A block has volume 70 cm^3 and density 8 g/cm^3. Work out its mass.
- 14th August 1952ABCD is a cyclic quadrilateral. Angle ABC is 65°. Work out angle ADC.
- 15th August 195218 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th August 1952A box plot has minimum 8, lower quartile 11, median 21, upper quartile 24 and maximum 31. Work out the interquartile range.
- 17th August 1952Work out (9 x 10^3) x (3 x 10^-6). Give your answer in standard form.
- 18th August 1952For the curve y = 60/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 19th August 1952x : y = 4 : 7. Write y in terms of x.
- 20th August 1952A, B and C are points on a circle with centre O. Angle AOC is 90°. Work out angle ABC, where B is on the major arc.
- 21st August 19524 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd August 1952A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 23rd August 1952Write the recurring decimal 0.7575... as a fraction in its simplest form.
- 24th August 1952Expand and simplify (x + 3)(x - 5)(x + 4).
- 25th August 1952A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 26th August 1952A cone has base radius 4 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 27th August 195216 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th August 1952A histogram class is 2 units wide and contains 6 values. Work out the frequency density.
- 29th August 1952A bill is £240 including VAT at 20%. Work out the amount before VAT.
- 30th August 1952Make x the subject of y = 9x^2 - 2.
- 31st August 1952y is inversely proportional to x. When x = 6, y = 24. Work out y when x = 4.