Daily Practice · Higher
August 2014 - Higher 5-a-day
Every Higher sheet published in August 2014, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' August 2014 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2014
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2014A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 2nd August 201416 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd August 2014A box plot has a minimum of 12 and a maximum of 37. Work out the range.
- 4th August 2014Write 4^-1 as a fraction.
- 5th August 2014A region is defined by y <= 3x - 5. Should the boundary line be solid or dashed, and why?
- 6th August 2014A block has volume 35 cm^3 and density 3 g/cm^3. Work out its mass.
- 7th August 2014The point (0, 2) is enlarged by scale factor -3 about the centre (1, 4). Write down the coordinates of the image.
- 8th August 20142 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th August 2014A box plot has minimum 8, lower quartile 15, median 21, upper quartile 24 and maximum 26. Work out the interquartile range.
- 10th August 2014Work out (9 x 10^7) x (2 x 10^4). Give your answer in standard form.
- 11th August 2014Factorise x^2 - 8x - 9.
- 12th August 2014x : y = 3 : 7. Write y in terms of x.
- 13th August 2014Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 1080 cm^3. Work out the volume of the smaller.
- 14th August 201414 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th August 2014A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 16th August 2014Write the recurring decimal 0.9494... as a fraction in its simplest form.
- 17th August 2014Work out the equation of the line parallel to y = 5x + 8 that passes through (3, 11).
- 18th August 2014A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 19th August 2014A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 20th August 20144 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st August 2014A histogram class is 20 units wide and contains 80 values. Work out the frequency density.
- 22nd August 2014A bill is £456 including VAT at 20%. Work out the amount before VAT.
- 23rd August 2014A line has equation y = -2x + 7. Work out the gradient of any line perpendicular to it.
- 24th August 2014y is inversely proportional to x. When x = 7, y = 12. Work out y when x = 2.
- 25th August 2014ABCD is a cyclic quadrilateral. Angle ABC is 101°. Work out angle ADC.
- 26th August 201429 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th August 2014Four classes in order have frequencies 11, 4, 8, 12. Write down the cumulative frequency at the end of the third class.
- 28th August 2014A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 29th August 2014For the curve y = -4/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 30th August 2014y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 4.
- 31st August 2014A, B and C are points on a circle with centre O. Angle AOC is 136°. Work out angle ABC, where B is on the major arc.