Daily Practice · Higher
December 1979 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1979 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1979
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1979Factorise x^2 - 4x - 32.
- 2nd December 1979y is inversely proportional to x. When x = 9, y = 36. Work out y when x = 12.
- 3rd December 1979Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 756 cm^3. Work out the volume of the smaller.
- 4th December 197914 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th December 1979Four classes in order have frequencies 4, 5, 7, 3. Write down the cumulative frequency at the end of the third class.
- 6th December 1979Write the recurring decimal 0.8888... as a fraction in its simplest form.
- 7th December 1979Work out the equation of the line parallel to y = x - 8 that passes through (2, 1).
- 8th December 1979y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 5.
- 9th December 1979A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 10th December 19793 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th December 197920 newts are marked and released. Later 60 are caught, of which 5 are marked. Estimate the population.
- 12th December 1979A bill is £888 including VAT at 20%. Work out the amount before VAT.
- 13th December 1979A line has equation y = -5x + 1. Work out the gradient of any line perpendicular to it.
- 14th December 1979y is directly proportional to x. When x = 8, y = 40. Work out y when x = 13.
- 15th December 1979ABCD is a cyclic quadrilateral. Angle ABC is 72°. Work out angle ADC.
- 16th December 197925 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th December 1979A cumulative frequency graph is drawn for 220 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 18th December 1979A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 19th December 1979For the curve y = -2/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 20th December 1979A town's population is 9500 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 21st December 1979A, B and C are points on a circle with centre O. Angle AOC is 156°. Work out angle ABC, where B is on the major arc.
- 22nd December 19794 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd December 1979A box plot has a minimum of 7 and a maximum of 67. Work out the range.
- 24th December 1979Work out (81 x 10^6) / (9 x 10^3). Give your answer in standard form.
- 25th December 1979Expand and simplify (x - 2)(x + 5)(x - 5).
- 26th December 1979A block has volume 140 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 27th December 1979A cone has base radius 2 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 28th December 197913 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th December 1979A box plot has minimum 8, lower quartile 18, median 22, upper quartile 24 and maximum 31. Work out the interquartile range.
- 30th December 1979Write the recurring decimal 0.333... as a fraction in its simplest form.
- 31st December 1979Make x the subject of y = 6x^2 - 5.