Daily Practice · Higher
June 2006 - Higher 5-a-day
Every Higher sheet published in June 2006, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' June 2006 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2006
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2006A town's population is 14500 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
- 2nd June 2006In triangle ABC, angle A is 36°, angle B is 89° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 3rd June 20068 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th June 2006A box plot has a minimum of 17 and a maximum of 54. Work out the range.
- 5th June 2006A meal deal has 5 mains, 9 sides and 6 drinks. How many different meals are possible?
- 6th June 2006Factorise x^2 - 81.
- 7th June 2006A block has volume 55 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 8th June 2006A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 9th June 200621 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th June 2006A box plot has minimum 2, lower quartile 12, median 22, upper quartile 24 and maximum 32. Work out the interquartile range.
- 11th June 2006A mass is 67 kg, correct to the nearest whole number. Write down the lower bound.
- 12th June 2006A region is defined by y <= 2x - 2. Should the boundary line be solid or dashed, and why?
- 13th June 2006x : y = 3 : 5. Write y in terms of x.
- 14th June 2006The point (4, 6) is enlarged by scale factor -2 about the centre (0, -1). Write down the coordinates of the image.
- 15th June 20061 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th June 2006A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 17th June 2006Write 8^-1 as a fraction.
- 18th June 2006Factorise x^2 - 9x + 14.
- 19th June 2006A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 20th June 2006Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 405 cm^3. Work out the volume of the smaller.
- 21st June 200619 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd June 2006A histogram class is 20 units wide and contains 40 values. Work out the frequency density.
- 23rd June 2006Work out (7 x 10^7) x (6 x 10^-2). Give your answer in standard form.
- 24th June 2006Work out the equation of the line parallel to y = 2x + 5 that passes through (4, 13).
- 25th June 2006y is inversely proportional to x. When x = 7, y = 12. Work out y when x = 4.
- 26th June 2006A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 27th June 20067 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th June 2006Four classes in order have frequencies 7, 12, 5, 9. Write down the cumulative frequency at the end of the third class.
- 29th June 2006Write the recurring decimal 0.7070... as a fraction in its simplest form.
- 30th June 2006A line has equation y = -3x + 5. Work out the gradient of any line perpendicular to it.