Daily Practice · Higher
August 1975 5-a-day
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The batch download puts all 5 tiers' August 1975 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1975
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1975y is directly proportional to x. When x = 5, y = 20. Work out y when x = 6.
- 2nd August 1975Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 144 cm^3. Work out the volume of the smaller.
- 3rd August 197516 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th August 1975A cumulative frequency graph is drawn for 68 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5th August 1975Write the recurring decimal 0.4646... as a fraction in its simplest form.
- 6th August 1975Work out the equation of the line parallel to y = 2x + 3 that passes through (1, -1).
- 7th August 1975A town's population is 2500 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
- 8th August 1975A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 9th August 19752 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th August 1975A box plot has a minimum of 6 and a maximum of 60. Work out the range.
- 11th August 1975A bill is £672 including VAT at 20%. Work out the amount before VAT.
- 12th August 1975A line has equation y = 5x + 4. Work out the gradient of any line perpendicular to it.
- 13th August 1975A block has volume 195 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 14th August 1975ABCD is a cyclic quadrilateral. Angle ABC is 76°. Work out angle ADC.
- 15th August 197518 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th August 1975A box plot has minimum 15, lower quartile 25, median 31, upper quartile 34 and maximum 37. Work out the interquartile range.
- 17th August 1975A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 18th August 1975For the curve y = -36/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 19th August 1975x : y = 2 : 9. Write y in terms of x.
- 20th August 1975A, B and C are points on a circle with centre O. Angle AOC is 130°. Work out angle ABC, where B is on the major arc.
- 21st August 19757 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd August 1975A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 23rd August 1975Work out (48 x 10^8) / (6 x 10^3). Give your answer in standard form.
- 24th August 1975Expand and simplify (x - 3)(x + 4)(x + 3).
- 25th August 1975A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 26th August 1975A cone has base radius 10 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 27th August 197522 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th August 1975A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 29th August 1975Write the recurring decimal 0.777... as a fraction in its simplest form.
- 30th August 1975Make x the subject of y = 5x^2 - 7.
- 31st August 1975y is inversely proportional to x. When x = 8, y = 3. Work out y when x = 3.