Daily Practice · Higher
September 2013 - Higher 5-a-day
Every Higher sheet published in September 2013, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2013 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2013
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2013A box plot has a minimum of 4 and a maximum of 23. Work out the range.
- 2nd September 2013A mass is 58 kg, correct to the nearest whole number. Write down the lower bound.
- 3rd September 2013A region is defined by y <= 2x - 9. Should the boundary line be solid or dashed, and why?
- 4th September 2013A block has volume 110 cm^3 and density 4 g/cm^3. Work out its mass.
- 5th September 2013The point (5, -6) is enlarged by scale factor -2 about the centre (0, 1). Write down the coordinates of the image.
- 6th September 20132 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th September 2013A box plot has minimum 9, lower quartile 13, median 23, upper quartile 26 and maximum 33. Work out the interquartile range.
- 8th September 2013Write 9^-2 as a fraction.
- 9th September 2013Factorise x^2 + 9x + 8.
- 10th September 2013x : y = 5 : 8. Write y in terms of x.
- 11th September 2013Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 270 cm^3. Work out the volume of the smaller.
- 12th September 20139 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th September 2013A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 14th September 2013Work out (5 x 10^3) x (9 x 10^-6). Give your answer in standard form.
- 15th September 2013Work out the equation of the line parallel to y = x + 3 that passes through (6, 10).
- 16th September 2013A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 17th September 2013A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 18th September 20135 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th September 2013A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 20th September 2013Write the recurring decimal 0.8484... as a fraction in its simplest form.
- 21st September 2013A line has equation y = 4x + 2. Work out the gradient of any line perpendicular to it.
- 22nd September 2013y is inversely proportional to x. When x = 3, y = 24. Work out y when x = 4.
- 23rd September 2013ABCD is a cyclic quadrilateral. Angle ABC is 104°. Work out angle ADC.
- 24th September 201327 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th September 2013Four classes in order have frequencies 6, 3, 3, 8. Write down the cumulative frequency at the end of the third class.
- 26th September 2013A bill is £768 including VAT at 20%. Work out the amount before VAT.
- 27th September 2013For the curve y = -24/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 28th September 2013y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 7.
- 29th September 2013A, B and C are points on a circle with centre O. Angle AOC is 82°. Work out angle ABC, where B is on the major arc.
- 30th September 20133 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.