Daily Practice · Higher
November 1987 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1987 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1987
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1987A line has equation y = -4x + 2. Work out the gradient of any line perpendicular to it.
- 2nd November 1987A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 3rd November 1987ABCD is a cyclic quadrilateral. Angle ABC is 98°. Work out angle ADC.
- 4th November 198724 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th November 1987A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 6th November 1987Write 7^-1 as a fraction.
- 7th November 1987For the curve y = 36/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 8th November 1987y is inversely proportional to x. When x = 8, y = 60. Work out y when x = 12.
- 9th November 1987A, B and C are points on a circle with centre O. Angle AOC is 154°. Work out angle ABC, where B is on the major arc.
- 10th November 19872 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th November 1987Four classes in order have frequencies 6, 6, 3, 6. Write down the cumulative frequency at the end of the third class.
- 12th November 1987Work out (3 x 10^7) x (2 x 10^-2). Give your answer in standard form.
- 13th November 1987Expand and simplify (x - 4)(x - 2)(x + 2).
- 14th November 1987y is directly proportional to x^2. When x = 4, y = 96. Work out y when x = 2.
- 15th November 1987A cone has base radius 5 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 16th November 198713 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th November 198710 fish are marked and released. Later 27 are caught, of which 9 are marked. Estimate the population.
- 18th November 1987Write the recurring decimal 0.2121... as a fraction in its simplest form.
- 19th November 1987Make x the subject of y = 6x^2 - 12.
- 20th November 1987y is directly proportional to x. When x = 2, y = 22. Work out y when x = 14.
- 21st November 1987In triangle ABC, angle A is 41°, angle B is 69° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 22nd November 19873 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd November 1987A cumulative frequency graph is drawn for 72 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 24th November 1987A bill is £72 including VAT at 20%. Work out the amount before VAT.
- 25th November 1987Factorise x^2 - 64.
- 26th November 1987A town's population is 17000 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 27th November 1987A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 28th November 198711 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th November 1987A box plot has a minimum of 15 and a maximum of 52. Work out the range.
- 30th November 1987A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?