Daily Practice · Higher
June 1969 5-a-day
Printing for a group?
The batch download puts all 5 tiers' June 1969 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1969
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1969Write 3^-2 as a fraction.
- 2nd June 1969Work out the equation of the line parallel to y = 2x + 7 that passes through (2, -1).
- 3rd June 1969x : y = 4 : 5. Write y in terms of x.
- 4th June 1969A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
- 5th June 19692 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th June 1969A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 7th June 1969Work out (4 x 10^7) x (3 x 10^3). Give your answer in standard form.
- 8th June 1969A line has equation y = 3x + 9. Work out the gradient of any line perpendicular to it.
- 9th June 1969A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 10th June 1969ABCD is a cyclic quadrilateral. Angle ABC is 128°. Work out angle ADC.
- 11th June 196928 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th June 1969A histogram class is 20 units wide and contains 10 values. Work out the frequency density.
- 13th June 1969Write the recurring decimal 0.8989... as a fraction in its simplest form.
- 14th June 1969For the curve y = -40/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 15th June 1969y is inversely proportional to x. When x = 4, y = 15. Work out y when x = 3.
- 16th June 1969A, B and C are points on a circle with centre O. Angle AOC is 144°. Work out angle ABC, where B is on the major arc.
- 17th June 19694 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th June 1969Four classes in order have frequencies 4, 8, 12, 7. Write down the cumulative frequency at the end of the third class.
- 19th June 1969A bill is £936 including VAT at 20%. Work out the amount before VAT.
- 20th June 1969Expand and simplify (x - 3)(x - 3)(x - 3).
- 21st June 1969y is directly proportional to x^2. When x = 2, y = 36. Work out y when x = 4.
- 22nd June 1969A cone has base radius 6 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 23rd June 196929 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th June 196930 beetles are marked and released. Later 24 are caught, of which 2 are marked. Estimate the population.
- 25th June 1969A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 26th June 1969Make x the subject of y = 4x^2 - 7.
- 27th June 1969y is directly proportional to x. When x = 9, y = 81. Work out y when x = 8.
- 28th June 1969In triangle ABC, angle A is 44°, angle B is 53° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 29th June 19697 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th June 1969A cumulative frequency graph is drawn for 72 values. What cumulative frequency do you read across from to estimate the lower quartile?