Daily Practice · Higher
July 1952 5-a-day
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The batch download puts all 5 tiers' July 1952 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1952
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1952For the curve y = 6/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 2nd July 1952A block has volume 200 cm^3 and density 11 g/cm^3. Work out its mass.
- 3rd July 1952A, 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.
- 4th July 19521 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th July 1952A box plot has minimum 12, lower quartile 21, median 27, upper quartile 36 and maximum 38. Work out the interquartile range.
- 6th July 1952Work out (24 x 10^6) / (6 x 10^4). Give your answer in standard form.
- 7th July 1952Expand and simplify (x - 4)(x + 4)(x - 3).
- 8th July 1952x : y = 3 : 5. Write y in terms of x.
- 9th July 1952A cone has base radius 6 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 10th July 19527 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th July 1952A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 12th July 1952Write the recurring decimal 0.555... as a fraction in its simplest form.
- 13th July 1952Make x the subject of y = 9x^2 - 2.
- 14th July 1952A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 15th July 1952In triangle ABC, angle A is 80°, angle B is 67° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 16th July 19526 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th July 1952A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 18th July 1952Work out 216^(2/3).
- 19th July 1952Factorise x^2 - 16.
- 20th July 1952y is inversely proportional to x. When x = 4, y = 30. Work out y when x = 10.
- 21st July 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.
- 22nd July 195213 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd July 1952Four classes in order have frequencies 10, 6, 5, 11. Write down the cumulative frequency at the end of the third class.
- 24th July 1952Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 25th July 1952A region is defined by y < 3x + 3. Should the boundary line be solid or dashed, and why?
- 26th July 1952y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 7.
- 27th July 1952The point (-4, -2) is enlarged by scale factor -3 about the centre (-2, -4). Write down the coordinates of the image.
- 28th July 19523 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th July 195240 beetles are marked and released. Later 30 are caught, of which 5 are marked. Estimate the population.
- 30th July 1952A meal deal has 6 mains, 5 sides and 3 drinks. How many different meals are possible?
- 31st July 1952Factorise x^2 - 9x + 20.