Daily Practice · Higher
June 2018 - Higher 5-a-day
Every Higher sheet published in June 2018, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' June 2018 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2018
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2018A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 2nd June 2018Write the recurring decimal 0.8989... as a fraction in its simplest form.
- 3rd June 2018Factorise x^2 - 10x + 16.
- 4th June 2018A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 5th June 2018Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1152 cm^3. Work out the volume of the smaller.
- 6th June 201825 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th June 2018A histogram class is 10 units wide and contains 15 values. Work out the frequency density.
- 8th June 2018A bill is £336 including VAT at 20%. Work out the amount before VAT.
- 9th June 2018Work out the equation of the line parallel to y = 3x + 3 that passes through (5, 10).
- 10th June 2018y is inversely proportional to x. When x = 8, y = 12. Work out y when x = 3.
- 11th June 2018A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 12th June 20181 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th June 2018Four classes in order have frequencies 5, 10, 6, 9. Write down the cumulative frequency at the end of the third class.
- 14th June 2018A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 15th June 2018A line has equation y = 3x + 5. Work out the gradient of any line perpendicular to it.
- 16th June 2018y is directly proportional to x^2. When x = 6, y = 144. Work out y when x = 8.
- 17th June 2018ABCD is a cyclic quadrilateral. Angle ABC is 104°. Work out angle ADC.
- 18th June 201816 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th June 201860 newts are marked and released. Later 36 are caught, of which 3 are marked. Estimate the population.
- 20th June 2018Work out (8 x 10^12) / (4 x 10^4). Give your answer in standard form.
- 21st June 2018For the curve y = 8/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 22nd June 2018y is directly proportional to x. When x = 2, y = 8. Work out y when x = 13.
- 23rd June 2018A, B and C are points on a circle with centre O. Angle AOC is 114°. Work out angle ABC, where B is on the major arc.
- 24th June 20184 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th June 2018A cumulative frequency graph is drawn for 92 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 26th June 2018Write the recurring decimal 0.444... as a fraction in its simplest form.
- 27th June 2018Expand and simplify (x + 2)(x - 2)(x + 5).
- 28th June 2018A town's population is 25500 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.
- 29th June 2018A cone has base radius 6 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 30th June 201822 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.