Daily Practice · Higher
July 1966 5-a-day
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The batch download puts all 5 tiers' July 1966 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1966
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1966y is directly proportional to x. When x = 5, y = 45. Work out y when x = 7.
- 2nd July 1966The point (5, 4) is enlarged by scale factor -1 about the centre (2, 1). Write down the coordinates of the image.
- 3rd July 19664 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th July 1966A cumulative frequency graph is drawn for 52 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 5th July 1966A mass is 18 kg, correct to the nearest whole number. Write down the lower bound.
- 6th July 1966Factorise x^2 - x - 12.
- 7th July 1966A town's population is 37500 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 8th July 1966Two 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.
- 9th July 196619 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th July 1966A box plot has a minimum of 13 and a maximum of 50. Work out the range.
- 11th July 1966Write 8^-2 as a fraction.
- 12th July 1966Work out the equation of the line parallel to y = 4x - 2 that passes through (3, 5).
- 13th July 1966A block has volume 145 cm^3 and density 4 g/cm^3. Work out its mass.
- 14th July 1966A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 15th July 19665 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th July 1966A box plot has minimum 1, lower quartile 7, median 15, upper quartile 18 and maximum 22. Work out the interquartile range.
- 17th July 1966Work out (6 x 10^8) x (9 x 10^-4). Give your answer in standard form.
- 18th July 1966A line has equation y = 3x + 3. Work out the gradient of any line perpendicular to it.
- 19th July 1966x : y = 5 : 7. Write y in terms of x.
- 20th July 1966ABCD is a cyclic quadrilateral. Angle ABC is 95°. Work out angle ADC.
- 21st July 196626 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd July 1966A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 23rd July 1966Write the recurring decimal 0.5555... as a fraction in its simplest form.
- 24th July 1966For the curve y = 30/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 25th July 1966A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 26th July 1966A, B and C are points on a circle with centre O. Angle AOC is 102°. Work out angle ABC, where B is on the major arc.
- 27th July 19664 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th July 1966A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 29th July 1966A bill is £192 including VAT at 20%. Work out the amount before VAT.
- 30th July 1966Expand and simplify (x - 1)(x - 1)(x - 3).
- 31st July 1966y is inversely proportional to x. When x = 8, y = 10. Work out y when x = 5.