Daily Practice · Higher
July 2017 - Higher 5-a-day
Every Higher sheet published in July 2017, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2017 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2017
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2017Work out (6 x 10^3) x (8 x 10^3). Give your answer in standard form.
- 2nd July 2017Factorise x^2 + 10x + 16.
- 3rd July 2017A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 4th July 2017Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 729 cm^3. Work out the volume of the smaller.
- 5th July 201719 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th July 2017A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 7th July 2017Write the recurring decimal 0.6060... as a fraction in its simplest form.
- 8th July 2017Work out the equation of the line parallel to y = x + 9 that passes through (4, -7).
- 9th July 2017y is inversely proportional to x. When x = 3, y = 8. Work out y when x = 2.
- 10th July 2017A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 11th July 20171 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th July 2017Four classes in order have frequencies 5, 11, 12, 4. Write down the cumulative frequency at the end of the third class.
- 13th July 2017A bill is £624 including VAT at 20%. Work out the amount before VAT.
- 14th July 2017A line has equation y = -2x + 4. Work out the gradient of any line perpendicular to it.
- 15th July 2017y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 9.
- 16th July 2017ABCD is a cyclic quadrilateral. Angle ABC is 62°. Work out angle ADC.
- 17th July 201726 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th July 201710 fish are marked and released. Later 60 are caught, of which 6 are marked. Estimate the population.
- 19th July 2017A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 20th July 2017For the curve y = 8/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 21st July 2017y is directly proportional to x. When x = 7, y = 63. Work out y when x = 3.
- 22nd July 2017A, B and C are points on a circle with centre O. Angle AOC is 64°. Work out angle ABC, where B is on the major arc.
- 23rd July 20172 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th July 2017A cumulative frequency graph is drawn for 148 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th July 2017Work out (14 x 10^9) / (7 x 10^5). Give your answer in standard form.
- 26th July 2017Expand and simplify (x - 3)(x + 5)(x + 3).
- 27th July 2017A town's population is 11500 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
- 28th July 2017A cone has base radius 8 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 29th July 201714 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th July 2017A box plot has a minimum of 17 and a maximum of 60. Work out the range.
- 31st July 2017Write the recurring decimal 0.111... as a fraction in its simplest form.