Daily Practice · Higher
July 2008 - Higher 5-a-day
Every Higher sheet published in July 2008, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2008 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2008
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2008Expand and simplify (x + 3)(x + 3)(x + 4).
- 2nd July 2008A block has volume 30 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 3rd July 2008A cone has base radius 9 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 4th July 200825 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th July 2008A box plot has minimum 1, lower quartile 7, median 14, upper quartile 23 and maximum 28. Work out the interquartile range.
- 6th July 2008A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 7th July 2008Make x the subject of y = 8x^2 - 8.
- 8th July 2008x : y = 2 : 7. Write y in terms of x.
- 9th July 2008In triangle ABC, angle A is 66°, angle B is 64° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 10th July 20087 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th July 2008A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 12th July 2008Work out (36 x 10^9) / (6 x 10^2). Give your answer in standard form.
- 13th July 2008Factorise x^2 - 49.
- 14th July 2008A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 15th July 2008A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 16th July 200818 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th July 2008A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 18th July 2008Write the recurring decimal 0.111... as a fraction in its simplest form.
- 19th July 2008A region is defined by y < -5x - 1. Should the boundary line be solid or dashed, and why?
- 20th July 2008y is inversely proportional to x. When x = 5, y = 2. Work out y when x = 2.
- 21st July 2008The point (-1, 5) is enlarged by scale factor -3 about the centre (-3, 4). Write down the coordinates of the image.
- 22nd July 20088 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd July 2008Four classes in order have frequencies 6, 3, 12, 9. Write down the cumulative frequency at the end of the third class.
- 24th July 2008Work out 100^(3/2).
- 25th July 2008Factorise x^2 - 16x + 63.
- 26th July 2008y is directly proportional to x^2. When x = 4, y = 64. Work out y when x = 7.
- 27th July 2008Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1600 cm^3. Work out the volume of the smaller.
- 28th July 200812 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th July 200855 fish are marked and released. Later 63 are caught, of which 9 are marked. Estimate the population.
- 30th July 2008Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 31st July 2008Work out the equation of the line parallel to y = -5x + 9 that passes through (4, -28).