Daily Practice · Higher
July 1979 5-a-day
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The batch download puts all 5 tiers' July 1979 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1979
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 197931 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd July 1979A cumulative frequency graph is drawn for 176 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3rd July 1979A meal deal has 8 mains, 7 sides and 2 drinks. How many different meals are possible?
- 4th July 1979A region is defined by y <= -2x + 6. Should the boundary line be solid or dashed, and why?
- 5th July 1979A town's population is 26000 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 6th July 1979The point (4, -1) is enlarged by scale factor -1 about the centre (2, -2). Write down the coordinates of the image.
- 7th July 19796 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th July 1979A box plot has a minimum of 4 and a maximum of 43. Work out the range.
- 9th July 1979A mass is 60 kg, correct to the nearest whole number. Write down the upper bound.
- 10th July 1979Factorise x^2 + x - 12.
- 11th July 1979A block has volume 170 cm^3 and density 3 g/cm^3. Work out its mass.
- 12th July 1979Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 48 cm^3. Work out the volume of the smaller.
- 13th July 197914 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th July 1979A box plot has minimum 8, lower quartile 18, median 24, upper quartile 30 and maximum 36. Work out the interquartile range.
- 15th July 1979Write 5^-3 as a fraction.
- 16th July 1979Work out the equation of the line parallel to y = 2x - 9 that passes through (6, 19).
- 17th July 1979x : y = 4 : 7. Write y in terms of x.
- 18th July 1979A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 19th July 19793 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th July 1979A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 21st July 1979Work out (6 x 10^4) x (6 x 10^4). Give your answer in standard form.
- 22nd July 1979A line has equation y = -2x + 1. Work out the gradient of any line perpendicular to it.
- 23rd July 1979A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 24th July 1979ABCD is a cyclic quadrilateral. Angle ABC is 106°. Work out angle ADC.
- 25th July 197927 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th July 1979A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 27th July 1979Write the recurring decimal 0.4646... as a fraction in its simplest form.
- 28th July 1979For the curve y = 12/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 29th July 1979y is inversely proportional to x. When x = 2, y = 20. Work out y when x = 10.
- 30th July 1979A, B and C are points on a circle with centre O. Angle AOC is 42°. Work out angle ABC, where B is on the major arc.
- 31st July 19796 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.