Daily Practice · Higher
June 2016 - Higher 5-a-day
Every Higher sheet published in June 2016, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' June 2016 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2016
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2016Factorise x^2 - 16.
- 2nd June 2016A town's population is 21000 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 3rd June 2016A 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.
- 4th June 201622 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th June 2016A box plot has a minimum of 4 and a maximum of 20. Work out the range.
- 6th June 2016Write the recurring decimal 0.5151... as a fraction in its simplest form.
- 7th June 2016A region is defined by y < -2x + 8. Should the boundary line be solid or dashed, and why?
- 8th June 2016A block has volume 150 cm^3 and density 4 g/cm^3. Work out its mass.
- 9th June 2016The point (1, 6) is enlarged by scale factor -2 about the centre (-3, 1). Write down the coordinates of the image.
- 10th June 20163 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th June 2016A box plot has minimum 10, lower quartile 14, median 17, upper quartile 19 and maximum 29. Work out the interquartile range.
- 12th June 2016A bill is £768 including VAT at 20%. Work out the amount before VAT.
- 13th June 2016Factorise x^2 - 64.
- 14th June 2016x : y = 2 : 5. Write y in terms of x.
- 15th June 2016Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 96 cm^3. Work out the volume of the smaller.
- 16th June 201622 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 June 2016A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 18th June 2016A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 19th June 2016Work out the equation of the line parallel to y = -3x - 4 that passes through (6, -12).
- 20th June 2016A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 21st June 2016A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 22nd June 20161 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd June 2016A histogram class is 2 units wide and contains 5 values. Work out the frequency density.
- 24th June 2016Work out (12 x 10^12) / (4 x 10^3). Give your answer in standard form.
- 25th June 2016A line has equation y = -5x + 8. Work out the gradient of any line perpendicular to it.
- 26th June 2016y is inversely proportional to x. When x = 4, y = 6. Work out y when x = 3.
- 27th June 2016ABCD is a cyclic quadrilateral. Angle ABC is 91°. Work out angle ADC.
- 28th June 201617 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th June 2016Four classes in order have frequencies 3, 6, 12, 5. Write down the cumulative frequency at the end of the third class.
- 30th June 2016Write the recurring decimal 0.888... as a fraction in its simplest form.