Daily Practice · Higher
June 1954 5-a-day
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The batch download puts all 5 tiers' June 1954 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1954
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 195450 newts are marked and released. Later 18 are caught, of which 3 are marked. Estimate the population.
- 2nd June 1954Write 6^-3 as a fraction.
- 3rd June 1954Factorise x^2 - 10x + 25.
- 4th June 1954y is directly proportional to x. When x = 7, y = 63. Work out y when x = 15.
- 5th June 1954Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 272 cm^3. Work out the volume of the smaller.
- 6th June 195418 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th June 1954A cumulative frequency graph is drawn for 108 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 8th June 1954Work out (4 x 10^5) x (3 x 10^-6). Give your answer in standard form.
- 9th June 1954Work out the equation of the line parallel to y = -x - 1 that passes through (1, 7).
- 10th June 1954A town's population is 35500 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 11th June 1954A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 12th June 19544 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th June 1954A box plot has a minimum of 8 and a maximum of 33. Work out the range.
- 14th June 1954Write the recurring decimal 0.9393... as a fraction in its simplest form.
- 15th June 1954A line has equation y = -5x + 6. Work out the gradient of any line perpendicular to it.
- 16th June 1954A block has volume 120 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 17th June 1954ABCD is a cyclic quadrilateral. Angle ABC is 91°. Work out angle ADC.
- 18th June 195413 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th June 1954A box plot has minimum 8, lower quartile 15, median 20, upper quartile 23 and maximum 28. Work out the interquartile range.
- 20th June 1954A bill is £504 including VAT at 20%. Work out the amount before VAT.
- 21st June 1954For the curve y = 15/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 22nd June 1954x : y = 3 : 4. Write y in terms of x.
- 23rd June 1954A, B and C are points on a circle with centre O. Angle AOC is 142°. Work out angle ABC, where B is on the major arc.
- 24th June 19542 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th June 1954A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 26th June 1954A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 27th June 1954Expand and simplify (x - 5)(x - 5)(x - 2).
- 28th June 1954A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 29th June 1954A cone has base radius 3 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 30th June 195431 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.