Daily Practice · Higher
June 1964 5-a-day
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The batch download puts all 5 tiers' June 1964 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1964
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 196423 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd June 196435 voles are marked and released. Later 44 are caught, of which 4 are marked. Estimate the population.
- 3rd June 1964A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 4th June 1964Work out the equation of the line parallel to y = 5x - 2 that passes through (2, 7).
- 5th June 1964y is directly proportional to x. When x = 5, y = 10. Work out y when x = 10.
- 6th June 1964A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 7th June 19642 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th June 1964A cumulative frequency graph is drawn for 84 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 9th June 1964Work out (16 x 10^8) / (4 x 10^5). Give your answer in standard form.
- 10th June 1964A line has equation y = 3x + 3. Work out the gradient of any line perpendicular to it.
- 11th June 1964A town's population is 19000 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
- 12th June 1964ABCD is a cyclic quadrilateral. Angle ABC is 54°. Work out angle ADC.
- 13th June 196412 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th June 1964A box plot has a minimum of 10 and a maximum of 64. Work out the range.
- 15th June 1964Write the recurring decimal 0.888... as a fraction in its simplest form.
- 16th June 1964For the curve y = -22/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 17th June 1964A block has volume 130 cm^3 and density 8 g/cm^3. Work out its mass.
- 18th June 1964A, B and C are points on a circle with centre O. Angle AOC is 108°. Work out angle ABC, where B is on the major arc.
- 19th June 19646 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th June 1964A box plot has minimum 13, lower quartile 16, median 22, upper quartile 25 and maximum 28. Work out the interquartile range.
- 21st June 1964Work out 27^(2/3).
- 22nd June 1964Expand and simplify (x - 2)(x - 4)(x - 1).
- 23rd June 1964x : y = 5 : 7. Write y in terms of x.
- 24th June 1964A cone has base radius 10 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 25th June 196410 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th June 1964A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 27th June 1964Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 28th June 1964Make x the subject of y = 6x^2 - 7.
- 29th June 1964A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 30th June 1964In triangle ABC, angle A is 30°, angle B is 100° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.