Daily Practice · Higher
September 1953 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1953 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1953
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1953x : y = 4 : 5. Write y in terms of x.
- 2nd September 1953ABCD is a cyclic quadrilateral. Angle ABC is 116°. Work out angle ADC.
- 3rd September 195315 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th September 1953A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 5th September 1953A mass is 660 kg, correct to the nearest 10. Write down the upper bound.
- 6th September 1953For the curve y = -5/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 7th September 1953A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 8th September 1953A, B and C are points on a circle with centre O. Angle AOC is 134°. Work out angle ABC, where B is on the major arc.
- 9th September 19535 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th September 1953A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 11th September 1953Write 9^-2 as a fraction.
- 12th September 1953Expand and simplify (x - 4)(x - 4)(x + 2).
- 13th September 1953y is inversely proportional to x. When x = 9, y = 20. Work out y when x = 5.
- 14th September 1953A cone has base radius 2 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 15th September 195314 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th September 1953Four classes in order have frequencies 9, 8, 10, 10. Write down the cumulative frequency at the end of the third class.
- 17th September 1953Work out (5 x 10^3) x (5 x 10^3). Give your answer in standard form.
- 18th September 1953Make x the subject of y = 8x^2 - 11.
- 19th September 1953y is directly proportional to x^2. When x = 4, y = 128. Work out y when x = 6.
- 20th September 1953In triangle ABC, angle A is 80°, angle B is 38° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 21st September 19534 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd September 195345 beetles are marked and released. Later 6 are caught, of which 2 are marked. Estimate the population.
- 23rd September 1953Write the recurring decimal 0.1111... as a fraction in its simplest form.
- 24th September 1953Factorise x^2 - 64.
- 25th September 1953y is directly proportional to x. When x = 7, y = 28. Work out y when x = 5.
- 26th September 1953A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 27th September 195326 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th September 1953A cumulative frequency graph is drawn for 100 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 29th September 1953A bill is £360 including VAT at 20%. Work out the amount before VAT.
- 30th September 1953A region is defined by y <= -4x + 9. Should the boundary line be solid or dashed, and why?