Daily Practice · Higher
June 1959 5-a-day
Printing for a group?
The batch download puts all 5 tiers' June 1959 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1959
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1959Factorise x^2 + 4x + 4.
- 2nd June 1959x : y = 2 : 5. Write y in terms of x.
- 3rd June 1959Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1984 cm^3. Work out the volume of the smaller.
- 4th June 195915 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th June 1959A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 6th June 1959Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 7th June 1959Work out the equation of the line parallel to y = -x + 3 that passes through (2, 5).
- 8th June 1959A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 9th June 1959A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 10th June 19591 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th June 1959A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 12th June 1959A meal deal has 8 mains, 8 sides and 2 drinks. How many different meals are possible?
- 13th June 1959A line has equation y = 4x + 6. Work out the gradient of any line perpendicular to it.
- 14th June 1959y is inversely proportional to x. When x = 6, y = 6. Work out y when x = 3.
- 15th June 1959ABCD is a cyclic quadrilateral. Angle ABC is 115°. Work out angle ADC.
- 16th June 195917 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th June 1959Four classes in order have frequencies 5, 9, 9, 9. Write down the cumulative frequency at the end of the third class.
- 18th June 1959A mass is 710 kg, correct to the nearest 10. Write down the upper bound.
- 19th June 1959For the curve y = 16/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 20th June 1959y is directly proportional to x^2. When x = 3, y = 72. Work out y when x = 4.
- 21st June 1959A, B and C are points on a circle with centre O. Angle AOC is 112°. Work out angle ABC, where B is on the major arc.
- 22nd June 19596 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd June 195960 voles are marked and released. Later 63 are caught, of which 7 are marked. Estimate the population.
- 24th June 1959Write 7^-1 as a fraction.
- 25th June 1959Expand and simplify (x - 1)(x - 2)(x + 5).
- 26th June 1959y is directly proportional to x. When x = 7, y = 84. Work out y when x = 10.
- 27th June 1959A cone has base radius 10 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 28th June 195914 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th June 1959A cumulative frequency graph is drawn for 204 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 30th June 1959Work out (7 x 10^8) x (2 x 10^2). Give your answer in standard form.