Daily Practice · Higher
June 1956 5-a-day
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The batch download puts all 5 tiers' June 1956 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1956
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 19562 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd June 1956A box plot has minimum 6, lower quartile 16, median 22, upper quartile 31 and maximum 39. Work out the interquartile range.
- 3rd June 1956Work out (7 x 10^5) x (8 x 10^-5). Give your answer in standard form.
- 4th June 1956A line has equation y = 3x + 1. Work out the gradient of any line perpendicular to it.
- 5th June 1956x : y = 4 : 5. Write y in terms of x.
- 6th June 1956ABCD is a cyclic quadrilateral. Angle ABC is 104°. Work out angle ADC.
- 7th June 195612 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th June 1956A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 9th June 1956Write the recurring decimal 0.4141... as a fraction in its simplest form.
- 10th June 1956For the curve y = 120/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 11th June 1956A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 12th June 1956A, B and C are points on a circle with centre O. Angle AOC is 112°. Work out angle ABC, where B is on the major arc.
- 13th June 19561 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th June 1956A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 15th June 1956A bill is £696 including VAT at 20%. Work out the amount before VAT.
- 16th June 1956Expand and simplify (x - 1)(x - 2)(x + 3).
- 17th June 1956y is inversely proportional to x. When x = 8, y = 20. Work out y when x = 4.
- 18th June 1956A cone has base radius 4 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 19th June 195614 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th June 1956Four classes in order have frequencies 3, 5, 3, 12. Write down the cumulative frequency at the end of the third class.
- 21st June 1956A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 22nd June 1956Make x the subject of y = 2x^2 - 5.
- 23rd June 1956y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 5.
- 24th June 1956In triangle ABC, angle A is 72°, angle B is 58° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 25th June 19563 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th June 195630 newts are marked and released. Later 60 are caught, of which 6 are marked. Estimate the population.
- 27th June 1956Work out (9 x 10^7) / (3 x 10^3). Give your answer in standard form.
- 28th June 1956Factorise x^2 - 100.
- 29th June 1956y is directly proportional to x. When x = 9, y = 27. Work out y when x = 12.
- 30th June 1956A 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.