Daily Practice · Higher
August 1954 5-a-day
Printing for a group?
The batch download puts all 5 tiers' August 1954 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1954
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1954A mass is 180 kg, correct to the nearest 10. Write down the lower bound.
- 2nd August 1954A line has equation y = 2x + 5. Work out the gradient of any line perpendicular to it.
- 3rd August 1954x : y = 5 : 9. Write y in terms of x.
- 4th August 1954ABCD is a cyclic quadrilateral. Angle ABC is 64°. Work out angle ADC.
- 5th August 195422 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th August 1954A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 7th August 1954Write 7^-3 as a fraction.
- 8th August 1954For the curve y = 35/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 9th August 1954A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 10th August 1954A, 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.
- 11th August 19546 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th August 1954A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 13th August 1954Work out (7 x 10^7) x (5 x 10^5). Give your answer in standard form.
- 14th August 1954Expand and simplify (x + 4)(x - 1)(x - 5).
- 15th August 1954y is inversely proportional to x. When x = 8, y = 6. Work out y when x = 6.
- 16th August 1954A cone has base radius 4 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 17th August 195420 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th August 1954Four classes in order have frequencies 9, 9, 5, 5. Write down the cumulative frequency at the end of the third class.
- 19th August 1954Write the recurring decimal 0.7979... as a fraction in its simplest form.
- 20th August 1954Make x the subject of y = 5x^2 - 10.
- 21st August 1954y is directly proportional to x^2. When x = 4, y = 128. Work out y when x = 8.
- 22nd August 1954In triangle ABC, angle A is 68°, angle B is 71° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 23rd August 19545 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th August 195425 beetles are marked and released. Later 72 are caught, of which 8 are marked. Estimate the population.
- 25th August 1954A bill is £888 including VAT at 20%. Work out the amount before VAT.
- 26th August 1954Factorise x^2 - 4.
- 27th August 1954y is directly proportional to x. When x = 7, y = 84. Work out y when x = 4.
- 28th August 1954A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 29th August 195410 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th August 1954A cumulative frequency graph is drawn for 112 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 31st August 1954A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?