Daily Practice · Higher
July 2015 - Higher 5-a-day
Every Higher sheet published in July 2015, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2015 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2015
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2015Factorise x^2 - 4.
- 2nd July 2015A town's population is 30500 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 3rd July 2015A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 4th July 201521 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th July 2015A box plot has a minimum of 2 and a maximum of 58. Work out the range.
- 6th July 2015Work out (3 x 10^4) x (3 x 10^5). Give your answer in standard form.
- 7th July 2015A region is defined by y < 5x + 7. Should the boundary line be solid or dashed, and why?
- 8th July 2015A block has volume 105 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 9th July 2015The point (3, 5) is enlarged by scale factor -1 about the centre (2, 0). Write down the coordinates of the image.
- 10th July 20153 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th July 2015A box plot has minimum 12, lower quartile 21, median 27, upper quartile 30 and maximum 39. Work out the interquartile range.
- 12th July 2015Write the recurring decimal 0.8888... as a fraction in its simplest form.
- 13th July 2015Factorise x^2 + 7x - 8.
- 14th July 2015x : y = 5 : 6. Write y in terms of x.
- 15th July 2015Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 189 cm^3. Work out the volume of the smaller.
- 16th July 201530 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th July 2015A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 18th July 2015A bill is £840 including VAT at 20%. Work out the amount before VAT.
- 19th July 2015Work out the equation of the line parallel to y = 4x - 8 that passes through (2, 9).
- 20th July 2015A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 21st July 2015A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 22nd July 20154 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd July 2015A histogram class is 20 units wide and contains 80 values. Work out the frequency density.
- 24th July 2015A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 25th July 2015A line has equation y = 4x + 4. Work out the gradient of any line perpendicular to it.
- 26th July 2015y is inversely proportional to x. When x = 3, y = 12. Work out y when x = 6.
- 27th July 2015ABCD is a cyclic quadrilateral. Angle ABC is 114°. Work out angle ADC.
- 28th July 201512 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th July 2015Four classes in order have frequencies 5, 11, 9, 6. Write down the cumulative frequency at the end of the third class.
- 30th July 2015Work out (48 x 10^11) / (8 x 10^5). Give your answer in standard form.
- 31st July 2015For the curve y = 22/x, work out y when x = 2, and write down the equation of its vertical asymptote.