Daily Practice · Higher
April 1979 5-a-day
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The batch download puts all 5 tiers' April 1979 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1979
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1979The point (2, -5) is enlarged by scale factor -2 about the centre (-4, 3). Write down the coordinates of the image.
- 2nd April 19793 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd April 197925 beetles are marked and released. Later 6 are caught, of which 2 are marked. Estimate the population.
- 4th April 1979Work out (21 x 10^6) / (3 x 10^5). Give your answer in standard form.
- 5th April 1979Factorise x^2 + 4x + 3.
- 6th April 1979y is directly proportional to x. When x = 6, y = 66. Work out y when x = 14.
- 7th April 1979Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 136 cm^3. Work out the volume of the smaller.
- 8th April 197913 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th April 1979A cumulative frequency graph is drawn for 128 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th April 1979Write the recurring decimal 0.777... as a fraction in its simplest form.
- 11th April 1979Work out the equation of the line parallel to y = x - 7 that passes through (1, -6).
- 12th April 1979A town's population is 7500 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 13th April 1979A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 14th April 19792 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th April 1979A box plot has a minimum of 18 and a maximum of 57. Work out the range.
- 16th April 1979Work out 64^(2/3).
- 17th April 1979A line has equation y = -5x + 6. Work out the gradient of any line perpendicular to it.
- 18th April 1979A block has volume 80 cm^3 and density 11 g/cm^3. Work out its mass.
- 19th April 1979ABCD is a cyclic quadrilateral. Angle ABC is 77°. Work out angle ADC.
- 20th April 197923 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st April 1979A box plot has minimum 15, lower quartile 18, median 22, upper quartile 27 and maximum 36. Work out the interquartile range.
- 22nd April 1979Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 23rd April 1979For the curve y = -7/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 24th April 1979x : y = 4 : 7. Write y in terms of x.
- 25th April 1979A, B and C are points on a circle with centre O. Angle AOC is 108°. Work out angle ABC, where B is on the major arc.
- 26th April 19793 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th April 1979A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 28th April 1979A meal deal has 5 mains, 4 sides and 3 drinks. How many different meals are possible?
- 29th April 1979Expand and simplify (x + 2)(x - 2)(x + 1).
- 30th April 1979A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.