Daily Practice · Higher
June 1989 5-a-day
Printing for a group?
The batch download puts all 5 tiers' June 1989 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1989
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1989ABCD is a cyclic quadrilateral. Angle ABC is 90°. Work out angle ADC.
- 2nd June 198930 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd June 1989A box plot has minimum 15, lower quartile 17, median 26, upper quartile 30 and maximum 37. Work out the interquartile range.
- 4th June 1989Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 5th June 1989For the curve y = -50/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 6th June 1989x : y = 5 : 8. Write y in terms of x.
- 7th June 1989A, B and C are points on a circle with centre O. Angle AOC is 52°. Work out angle ABC, where B is on the major arc.
- 8th June 19894 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th June 1989A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 10th June 1989A meal deal has 7 mains, 6 sides and 2 drinks. How many different meals are possible?
- 11th June 1989Expand and simplify (x - 3)(x - 4)(x - 4).
- 12th June 1989A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 13th June 1989A cone has base radius 10 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 14th June 198925 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th June 1989A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 16th June 1989A mass is 760 kg, correct to the nearest 10. Write down the lower bound.
- 17th June 1989Make x the subject of y = 8x^2 - 11.
- 18th June 1989y is inversely proportional to x. When x = 5, y = 12. Work out y when x = 6.
- 19th June 1989In triangle ABC, angle A is 32°, angle B is 103° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 20th June 19896 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st June 1989Four classes in order have frequencies 6, 6, 7, 11. Write down the cumulative frequency at the end of the third class.
- 22nd June 1989Write 3^-3 as a fraction.
- 23rd June 1989Factorise x^2 - 25.
- 24th June 1989y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 9.
- 25th June 1989A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 26th June 198924 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th June 198915 fish are marked and released. Later 24 are caught, of which 6 are marked. Estimate the population.
- 28th June 1989Work out (4 x 10^7) x (3 x 10^-2). Give your answer in standard form.
- 29th June 1989A region is defined by y < -4x + 5. Should the boundary line be solid or dashed, and why?
- 30th June 1989y is directly proportional to x. When x = 4, y = 36. Work out y when x = 8.