Daily Practice · Higher
December 1964 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1964 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1964
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1964A region is defined by y <= -5x + 1. Should the boundary line be solid or dashed, and why?
- 2nd December 1964A block has volume 140 cm^3 and density 4 g/cm^3. Work out its mass.
- 3rd December 1964The point (1, -4) is enlarged by scale factor -2 about the centre (-4, -3). Write down the coordinates of the image.
- 4th December 19641 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th December 1964A box plot has minimum 5, lower quartile 9, median 14, upper quartile 19 and maximum 27. Work out the interquartile range.
- 6th December 1964Write the recurring decimal 0.6262... as a fraction in its simplest form.
- 7th December 1964Factorise x^2 + 11x + 30.
- 8th December 1964x : y = 5 : 6. Write y in terms of x.
- 9th December 1964Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 240 cm^3. Work out the volume of the smaller.
- 10th December 196416 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th December 1964A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 12th December 1964A bill is £912 including VAT at 20%. Work out the amount before VAT.
- 13th December 1964Work out the equation of the line parallel to y = -3x + 3 that passes through (2, -18).
- 14th December 1964A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 15th December 1964A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 16th December 19641 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th December 1964A histogram class is 5 units wide and contains 7.5 values. Work out the frequency density.
- 18th December 1964A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 19th December 1964A line has equation y = -5x + 2. Work out the gradient of any line perpendicular to it.
- 20th December 1964y is inversely proportional to x. When x = 9, y = 12. Work out y when x = 6.
- 21st December 1964ABCD is a cyclic quadrilateral. Angle ABC is 79°. Work out angle ADC.
- 22nd December 196428 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd December 1964Four classes in order have frequencies 9, 6, 8, 4. Write down the cumulative frequency at the end of the third class.
- 24th December 1964Work out (14 x 10^9) / (7 x 10^5). Give your answer in standard form.
- 25th December 1964For the curve y = 100/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 26th December 1964y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 9.
- 27th December 1964A, B and C are points on a circle with centre O. Angle AOC is 62°. Work out angle ABC, where B is on the major arc.
- 28th December 19645 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th December 196415 voles are marked and released. Later 14 are caught, of which 2 are marked. Estimate the population.
- 30th December 1964Write the recurring decimal 0.111... as a fraction in its simplest form.
- 31st December 1964Expand and simplify (x - 5)(x - 2)(x + 2).