Daily Practice · Higher
June 2008 - Higher 5-a-day
Every Higher sheet published in June 2008, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' June 2008 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2008
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2008A region is defined by y <= -3x + 9. Should the boundary line be solid or dashed, and why?
- 2nd June 2008A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 3rd June 2008The point (5, -1) is enlarged by scale factor -3 about the centre (-1, -2). Write down the coordinates of the image.
- 4th June 20082 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th June 2008A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 6th June 2008A mass is 29.6 kg, correct to 1 decimal place. Write down the lower bound.
- 7th June 2008Factorise x^2 + 18x + 81.
- 8th June 2008y is inversely proportional to x. When x = 9, y = 6. Work out y when x = 3.
- 9th June 2008Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1408 cm^3. Work out the volume of the smaller.
- 10th June 200822 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th June 2008Four classes in order have frequencies 3, 8, 12, 12. Write down the cumulative frequency at the end of the third class.
- 12th June 2008Write 4^-3 as a fraction.
- 13th June 2008Work out the equation of the line parallel to y = -2x - 6 that passes through (6, -5).
- 14th June 2008y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 8.
- 15th June 2008A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 16th June 20081 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th June 200845 fish are marked and released. Later 40 are caught, of which 8 are marked. Estimate the population.
- 18th June 2008Work out (5 x 10^4) x (7 x 10^5). Give your answer in standard form.
- 19th June 2008A line has equation y = -3x + 3. Work out the gradient of any line perpendicular to it.
- 20th June 2008y is directly proportional to x. When x = 3, y = 36. Work out y when x = 9.
- 21st June 2008ABCD is a cyclic quadrilateral. Angle ABC is 87°. Work out angle ADC.
- 22nd June 200817 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd June 2008A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 24th June 2008Write the recurring decimal 0.1515... as a fraction in its simplest form.
- 25th June 2008For the curve y = -2/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 26th June 2008A town's population is 33000 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 27th June 2008A, B and C are points on a circle with centre O. Angle AOC is 148°. Work out angle ABC, where B is on the major arc.
- 28th June 20081 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th June 2008A box plot has a minimum of 16 and a maximum of 59. Work out the range.
- 30th June 2008A bill is £648 including VAT at 20%. Work out the amount before VAT.