Daily Practice · Higher
June 2012 - Higher 5-a-day
Every Higher sheet published in June 2012, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' June 2012 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2012
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 201212 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd June 2012A box plot has minimum 5, lower quartile 10, median 20, upper quartile 22 and maximum 30. Work out the interquartile range.
- 3rd June 2012Write 4^-3 as a fraction.
- 4th June 2012For the curve y = 40/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 5th June 2012x : y = 2 : 3. Write y in terms of x.
- 6th June 2012A, B and C are points on a circle with centre O. Angle AOC is 94°. Work out angle ABC, where B is on the major arc.
- 7th June 20121 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th June 2012A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 9th June 2012Work out (9 x 10^3) x (4 x 10^-4). Give your answer in standard form.
- 10th June 2012Expand and simplify (x - 2)(x - 3)(x + 3).
- 11th June 2012A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 12th June 2012A cone has base radius 5 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 13th June 201220 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th June 2012A histogram class is 20 units wide and contains 10 values. Work out the frequency density.
- 15th June 2012Write the recurring decimal 0.5656... as a fraction in its simplest form.
- 16th June 2012Make x the subject of y = 9x^2 - 6.
- 17th June 2012y is inversely proportional to x. When x = 7, y = 12. Work out y when x = 3.
- 18th June 2012In triangle ABC, angle A is 46°, angle B is 72° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 19th June 20122 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th June 2012Four classes in order have frequencies 7, 12, 8, 11. Write down the cumulative frequency at the end of the third class.
- 21st June 2012A bill is £816 including VAT at 20%. Work out the amount before VAT.
- 22nd June 2012Factorise x^2 - 36.
- 23rd June 2012y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 9.
- 24th June 2012A 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.
- 25th June 201219 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th June 201210 fish are marked and released. Later 21 are caught, of which 3 are marked. Estimate the population.
- 27th June 2012A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 28th June 2012A region is defined by y <= -3x + 7. Should the boundary line be solid or dashed, and why?
- 29th June 2012y is directly proportional to x. When x = 2, y = 8. Work out y when x = 12.
- 30th June 2012The point (4, -5) is enlarged by scale factor -1 about the centre (4, -2). Write down the coordinates of the image.