Daily Practice · Higher
May 1962 5-a-day
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The batch download puts all 5 tiers' May 1962 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1962
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 19625 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd May 1962Four classes in order have frequencies 6, 12, 11, 12. Write down the cumulative frequency at the end of the third class.
- 3rd May 1962A meal deal has 6 mains, 4 sides and 5 drinks. How many different meals are possible?
- 4th May 1962A line has equation y = -4x + 3. Work out the gradient of any line perpendicular to it.
- 5th May 1962y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 7.
- 6th May 1962ABCD is a cyclic quadrilateral. Angle ABC is 52°. Work out angle ADC.
- 7th May 196211 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 May 196240 beetles are marked and released. Later 12 are caught, of which 4 are marked. Estimate the population.
- 9th May 1962A mass is 22 kg, correct to 1 decimal place. Write down the upper bound.
- 10th May 1962For the curve y = 25/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 11th May 1962y is directly proportional to x. When x = 6, y = 66. Work out y when x = 11.
- 12th May 1962A, 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.
- 13th May 19622 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th May 1962A cumulative frequency graph is drawn for 204 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 15th May 1962Write 8^-1 as a fraction.
- 16th May 1962Expand and simplify (x + 1)(x + 5)(x + 1).
- 17th May 1962A town's population is 35500 and grows by 6% each year. Work out the population after 3 years, to the nearest whole number.
- 18th May 1962A cone has base radius 10 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 19th May 196220 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th May 1962A box plot has a minimum of 15 and a maximum of 71. Work out the range.
- 21st May 1962Work out (2 x 10^4) x (4 x 10^-5). Give your answer in standard form.
- 22nd May 1962Make x the subject of y = 4x^2 - 3.
- 23rd May 1962A block has volume 70 cm^3 and density 8 g/cm^3. Work out its mass.
- 24th May 1962In triangle ABC, angle A is 68°, angle B is 37° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 25th May 19626 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th May 1962A box plot has minimum 12, lower quartile 22, median 24, upper quartile 34 and maximum 38. Work out the interquartile range.
- 27th May 1962Write the recurring decimal 0.1010... as a fraction in its simplest form.
- 28th May 1962Factorise x^2 - 144.
- 29th May 1962x : y = 2 : 5. Write y in terms of x.
- 30th May 1962A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 31st May 196224 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.