Daily Practice · Higher
July 1992 - Higher 5-a-day
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The batch download puts all 5 tiers' July 1992 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1992
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1992Factorise x^2 - 4.
- 2nd July 1992A town's population is 25500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 3rd July 1992A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 4th July 199221 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th July 1992A box plot has a minimum of 10 and a maximum of 69. Work out the range.
- 6th July 1992A meal deal has 4 mains, 7 sides and 4 drinks. How many different meals are possible?
- 7th July 1992A region is defined by y <= 2x - 6. Should the boundary line be solid or dashed, and why?
- 8th July 1992A block has volume 155 cm^3 and density 4 g/cm^3. Work out its mass.
- 9th July 1992The point (-2, 0) is enlarged by scale factor -3 about the centre (-1, -4). Write down the coordinates of the image.
- 10th July 19924 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th July 1992A box plot has minimum 2, lower quartile 8, median 17, upper quartile 22 and maximum 26. Work out the interquartile range.
- 12th July 1992A mass is 27 kg, correct to 1 decimal place. Write down the upper bound.
- 13th July 1992Factorise x^2 + 12x + 36.
- 14th July 1992x : y = 2 : 5. Write y in terms of x.
- 15th July 1992Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 40 cm^3. Work out the volume of the smaller.
- 16th July 199225 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th July 1992A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 18th July 1992Write 6^-3 as a fraction.
- 19th July 1992Work out the equation of the line parallel to y = 5x - 8 that passes through (1, 1).
- 20th July 1992A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 21st July 1992A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
- 22nd July 19921 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd July 1992A histogram class is 2 units wide and contains 5 values. Work out the frequency density.
- 24th July 1992Work out (5 x 10^7) x (2 x 10^5). Give your answer in standard form.
- 25th July 1992A line has equation y = -3x + 5. Work out the gradient of any line perpendicular to it.
- 26th July 1992y is inversely proportional to x. When x = 4, y = 72. Work out y when x = 12.
- 27th July 1992ABCD is a cyclic quadrilateral. Angle ABC is 58°. Work out angle ADC.
- 28th July 199224 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th July 1992Four classes in order have frequencies 9, 7, 10, 11. Write down the cumulative frequency at the end of the third class.
- 30th July 1992Write the recurring decimal 0.8989... as a fraction in its simplest form.
- 31st July 1992For the curve y = 30/x, work out y when x = -10, and write down the equation of its vertical asymptote.