Daily Practice · Higher
June 2013 - Higher 5-a-day
Every Higher sheet published in June 2013, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' June 2013 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2013
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2013The point (3, 5) is enlarged by scale factor -1 about the centre (3, -4). Write down the coordinates of the image.
- 2nd June 20133 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd June 2013A cumulative frequency graph is drawn for 112 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th June 2013Write the recurring decimal 0.222... as a fraction in its simplest form.
- 5th June 2013Factorise x^2 - 16x + 63.
- 6th June 2013A town's population is 18000 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 7th June 2013Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 270 cm^3. Work out the volume of the smaller.
- 8th June 201325 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th June 2013A box plot has a minimum of 2 and a maximum of 60. Work out the range.
- 10th June 2013Work out 100^(3/2).
- 11th June 2013Work out the equation of the line parallel to y = 4x + 9 that passes through (1, 8).
- 12th June 2013A block has volume 190 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 13th June 2013A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 14th June 20134 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th June 2013A box plot has minimum 7, lower quartile 15, median 20, upper quartile 28 and maximum 37. Work out the interquartile range.
- 16th June 2013Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 17th June 2013A line has equation y = 2x + 7. Work out the gradient of any line perpendicular to it.
- 18th June 2013x : y = 7 : 9. Write y in terms of x.
- 19th June 2013ABCD is a cyclic quadrilateral. Angle ABC is 60°. Work out angle ADC.
- 20th June 201321 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st June 2013A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 22nd June 2013A meal deal has 9 mains, 5 sides and 6 drinks. How many different meals are possible?
- 23rd June 2013For the curve y = 120/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 24th June 2013A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 25th June 2013A, B and C are points on a circle with centre O. Angle AOC is 56°. Work out angle ABC, where B is on the major arc.
- 26th June 20132 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th June 2013A histogram class is 20 units wide and contains 30 values. Work out the frequency density.
- 28th June 2013A mass is 64 kg, correct to the nearest whole number. Write down the upper bound.
- 29th June 2013Expand and simplify (x - 5)(x + 2)(x + 2).
- 30th June 2013y is inversely proportional to x. When x = 2, y = 5. Work out y when x = 5.