Daily Practice · Higher
July 1955 5-a-day
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The batch download puts all 5 tiers' July 1955 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1955
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 19551 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd July 1955A box plot has minimum 1, lower quartile 3, median 9, upper quartile 14 and maximum 22. Work out the interquartile range.
- 3rd July 1955Write 8^-1 as a fraction.
- 4th July 1955A line has equation y = 5x + 3. Work out the gradient of any line perpendicular to it.
- 5th July 1955x : y = 7 : 9. Write y in terms of x.
- 6th July 1955ABCD is a cyclic quadrilateral. Angle ABC is 125°. Work out angle ADC.
- 7th July 195516 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th July 1955A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 9th July 1955Work out (7 x 10^8) x (9 x 10^-2). Give your answer in standard form.
- 10th July 1955For the curve y = 28/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 11th July 1955A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 12th July 1955A, B and C are points on a circle with centre O. Angle AOC is 98°. Work out angle ABC, where B is on the major arc.
- 13th July 19554 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th July 1955A histogram class is 2 units wide and contains 3 values. Work out the frequency density.
- 15th July 1955Write the recurring decimal 0.7878... as a fraction in its simplest form.
- 16th July 1955Expand and simplify (x + 4)(x - 2)(x - 2).
- 17th July 1955y is inversely proportional to x. When x = 7, y = 10. Work out y when x = 2.
- 18th July 1955A cone has base radius 8 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 19th July 195521 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th July 1955Four classes in order have frequencies 9, 5, 11, 4. Write down the cumulative frequency at the end of the third class.
- 21st July 1955A bill is £360 including VAT at 20%. Work out the amount before VAT.
- 22nd July 1955Make x the subject of y = 3x^2 - 12.
- 23rd July 1955y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 2.
- 24th July 1955In triangle ABC, angle A is 62°, angle B is 40° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 25th July 19553 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th July 195515 newts are marked and released. Later 12 are caught, of which 2 are marked. Estimate the population.
- 27th July 1955A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 28th July 1955Factorise x^2 - 81.
- 29th July 1955y is directly proportional to x. When x = 6, y = 54. Work out y when x = 14.
- 30th July 1955A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 31st July 195514 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.