Daily Practice · Higher
June 1999 - Higher 5-a-day
Every Higher sheet published in June 1999, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' June 1999 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1999
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1999For the curve y = 9/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 2nd June 1999A block has volume 85 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 3rd June 1999A, B and C are points on a circle with centre O. Angle AOC is 42°. Work out angle ABC, where B is on the major arc.
- 4th June 19991 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th June 1999A box plot has minimum 5, lower quartile 14, median 18, upper quartile 20 and maximum 29. Work out the interquartile range.
- 6th June 1999Work out (8 x 10^7) x (4 x 10^-5). Give your answer in standard form.
- 7th June 1999Expand and simplify (x + 5)(x + 1)(x - 4).
- 8th June 1999x : y = 7 : 9. Write y in terms of x.
- 9th June 1999A cone has base radius 9 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 10th June 199921 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th June 1999A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 12th June 1999Write the recurring decimal 0.6767... as a fraction in its simplest form.
- 13th June 1999Make x the subject of y = 5x^2 - 10.
- 14th June 1999A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 15th June 1999In triangle ABC, angle A is 44°, angle B is 32° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 16th June 19996 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th June 1999A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 18th June 1999A bill is £648 including VAT at 20%. Work out the amount before VAT.
- 19th June 1999Factorise x^2 - 36.
- 20th June 1999y is inversely proportional to x. When x = 4, y = 30. Work out y when x = 6.
- 21st June 1999A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 22nd June 199916 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd June 1999Four classes in order have frequencies 7, 10, 4, 10. Write down the cumulative frequency at the end of the third class.
- 24th June 1999A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 25th June 1999A region is defined by y < 5x - 6. Should the boundary line be solid or dashed, and why?
- 26th June 1999y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 4.
- 27th June 1999The point (-4, 5) is enlarged by scale factor -3 about the centre (-1, -4). Write down the coordinates of the image.
- 28th June 19992 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th June 199950 fish are marked and released. Later 48 are caught, of which 8 are marked. Estimate the population.
- 30th June 1999Work out (12 x 10^12) / (2 x 10^3). Give your answer in standard form.