Daily Practice · Higher
March 2013 - Higher 5-a-day
Every Higher sheet published in March 2013, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2013 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2013
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2013Factorise x^2 - 17x + 72.
- 2nd March 2013y is directly proportional to x^2. When x = 3, y = 18. Work out y when x = 7.
- 3rd March 2013Two 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.
- 4th March 201318 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th March 201345 beetles are marked and released. Later 72 are caught, of which 8 are marked. Estimate the population.
- 6th March 2013Write the recurring decimal 0.3232... as a fraction in its simplest form.
- 7th March 2013Work out the equation of the line parallel to y = 5x - 9 that passes through (3, 27).
- 8th March 2013y is directly proportional to x. When x = 5, y = 60. Work out y when x = 9.
- 9th March 2013A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 10th March 20135 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th March 2013A cumulative frequency graph is drawn for 176 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th March 2013A bill is £912 including VAT at 20%. Work out the amount before VAT.
- 13th March 2013A line has equation y = -3x + 4. Work out the gradient of any line perpendicular to it.
- 14th March 2013A town's population is 37500 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 15th March 2013ABCD is a cyclic quadrilateral. Angle ABC is 90°. Work out angle ADC.
- 16th March 201323 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th March 2013A box plot has a minimum of 13 and a maximum of 29. Work out the range.
- 18th March 2013A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 19th March 2013For the curve y = -20/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 20th March 2013A block has volume 160 cm^3 and density 3 g/cm^3. Work out its mass.
- 21st March 2013A, B and C are points on a circle with centre O. Angle AOC is 170°. Work out angle ABC, where B is on the major arc.
- 22nd March 20131 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd March 2013A box plot has minimum 8, lower quartile 12, median 19, upper quartile 21 and maximum 29. Work out the interquartile range.
- 24th March 2013Work out (12 x 10^10) / (6 x 10^2). Give your answer in standard form.
- 25th March 2013Expand and simplify (x - 2)(x - 4)(x - 1).
- 26th March 2013x : y = 3 : 5. Write y in terms of x.
- 27th March 2013A cone has base radius 2 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 28th March 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.
- 29th March 2013A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 30th March 2013Write the recurring decimal 0.888... as a fraction in its simplest form.
- 31st March 2013Make x the subject of y = 2x^2 - 5.