Daily Practice · Higher
October 1952 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1952 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1952
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1952ABCD is a cyclic quadrilateral. Angle ABC is 127°. Work out angle ADC.
- 2nd October 195228 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd October 1952A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 4th October 1952A meal deal has 9 mains, 6 sides and 6 drinks. How many different meals are possible?
- 5th October 1952For the curve y = -60/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 6th October 1952A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 7th October 1952A, B and C are points on a circle with centre O. Angle AOC is 116°. Work out angle ABC, where B is on the major arc.
- 8th October 19521 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th October 1952A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 10th October 1952A mass is 46 kg, correct to the nearest whole number. Write down the lower bound.
- 11th October 1952Expand and simplify (x - 5)(x + 1)(x + 5).
- 12th October 1952y is inversely proportional to x. When x = 8, y = 72. Work out y when x = 12.
- 13th October 1952A cone has base radius 7 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 14th October 195216 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th October 1952Four classes in order have frequencies 10, 9, 7, 11. Write down the cumulative frequency at the end of the third class.
- 16th October 1952Write 7^-3 as a fraction.
- 17th October 1952Make x the subject of y = 4x^2 - 6.
- 18th October 1952y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 8.
- 19th October 1952In triangle ABC, angle A is 52°, angle B is 51° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 20th October 19525 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st October 195220 newts are marked and released. Later 24 are caught, of which 3 are marked. Estimate the population.
- 22nd October 1952Work out (9 x 10^3) x (6 x 10^-4). Give your answer in standard form.
- 23rd October 1952Factorise x^2 - 9.
- 24th October 1952y is directly proportional to x. When x = 7, y = 84. Work out y when x = 13.
- 25th October 1952A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 26th October 195225 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th October 1952A cumulative frequency graph is drawn for 184 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 28th October 1952Write the recurring decimal 0.2727... as a fraction in its simplest form.
- 29th October 1952A region is defined by y <= -x - 2. Should the boundary line be solid or dashed, and why?
- 30th October 1952A town's population is 4000 and grows by 4% each year. Work out the population after 4 years, to the nearest whole number.
- 31st October 1952The point (0, 6) is enlarged by scale factor -2 about the centre (0, -3). Write down the coordinates of the image.