Daily Practice · Higher
April 2012 - Higher 5-a-day
Every Higher sheet published in April 2012, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2012 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2012
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2012Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 232 cm^3. Work out the volume of the smaller.
- 2nd April 201219 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd April 201220 newts are marked and released. Later 63 are caught, of which 7 are marked. Estimate the population.
- 4th April 2012Work out (4 x 10^7) x (5 x 10^-4). Give your answer in standard form.
- 5th April 2012Work out the equation of the line parallel to y = 3x + 9 that passes through (4, 11).
- 6th April 2012y is directly proportional to x. When x = 7, y = 35. Work out y when x = 9.
- 7th April 2012A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 8th April 20124 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th April 2012A cumulative frequency graph is drawn for 216 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th April 2012Write the recurring decimal 0.7979... as a fraction in its simplest form.
- 11th April 2012A line has equation y = -4x + 3. Work out the gradient of any line perpendicular to it.
- 12th April 2012A town's population is 29000 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
- 13th April 2012ABCD is a cyclic quadrilateral. Angle ABC is 130°. Work out angle ADC.
- 14th April 20129 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th April 2012A box plot has a minimum of 6 and a maximum of 18. Work out the range.
- 16th April 2012A bill is £360 including VAT at 20%. Work out the amount before VAT.
- 17th April 2012For the curve y = -10/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 18th April 2012A block has volume 50 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 19th April 2012A, 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.
- 20th April 20121 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st April 2012A box plot has minimum 10, lower quartile 18, median 22, upper quartile 29 and maximum 38. Work out the interquartile range.
- 22nd April 2012A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 23rd April 2012Expand and simplify (x + 3)(x + 2)(x + 1).
- 24th April 2012x : y = 5 : 6. Write y in terms of x.
- 25th April 2012A cone has base radius 9 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 26th April 201212 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th April 2012A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 28th April 2012Work out (14 x 10^11) / (2 x 10^2). Give your answer in standard form.
- 29th April 2012Make x the subject of y = 8x^2 - 5.
- 30th April 2012A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.