Daily Practice · Higher
May 1952 5-a-day
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The batch download puts all 5 tiers' May 1952 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1952
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1952Work out (36 x 10^9) / (6 x 10^2). Give your answer in standard form.
- 2nd May 1952Work out the equation of the line parallel to y = x + 3 that passes through (5, 3).
- 3rd May 1952y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 7.
- 4th May 1952A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 5th May 19527 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th May 195210 beetles are marked and released. Later 54 are caught, of which 6 are marked. Estimate the population.
- 7th May 1952Write the recurring decimal 0.333... as a fraction in its simplest form.
- 8th May 1952A line has equation y = 2x + 9. Work out the gradient of any line perpendicular to it.
- 9th May 1952y is directly proportional to x. When x = 6, y = 42. Work out y when x = 10.
- 10th May 1952ABCD is a cyclic quadrilateral. Angle ABC is 99°. Work out angle ADC.
- 11th May 195214 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th May 1952A cumulative frequency graph is drawn for 136 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th May 1952Work out 100^(3/2).
- 14th May 1952For the curve y = 3/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 15th May 1952A town's population is 28500 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 16th May 1952A, B and C are points on a circle with centre O. Angle AOC is 72°. Work out angle ABC, where B is on the major arc.
- 17th May 19522 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th May 1952A box plot has a minimum of 15 and a maximum of 72. Work out the range.
- 19th May 1952Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 20th May 1952Expand and simplify (x + 1)(x + 1)(x + 3).
- 21st May 1952A block has volume 150 cm^3 and density 8 g/cm^3. Work out its mass.
- 22nd May 1952A cone has base radius 2 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 23rd May 195222 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th May 1952A box plot has minimum 12, lower quartile 18, median 23, upper quartile 33 and maximum 37. Work out the interquartile range.
- 25th May 1952A meal deal has 7 mains, 6 sides and 5 drinks. How many different meals are possible?
- 26th May 1952Make x the subject of y = 2x^2 - 12.
- 27th May 1952x : y = 5 : 9. Write y in terms of x.
- 28th May 1952In triangle ABC, angle A is 80°, angle B is 56° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 29th May 19524 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th May 1952A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 31st May 1952A mass is 3 kg, correct to the nearest whole number. Write down the lower bound.