Daily Practice · Higher
February 2012 - Higher 5-a-day
Every Higher sheet published in February 2012, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2012 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 2012
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2012A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 2nd February 201215 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd February 2012A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 4th February 2012Write the recurring decimal 0.5050... as a fraction in its simplest form.
- 5th February 2012A region is defined by y <= -2x + 1. Should the boundary line be solid or dashed, and why?
- 6th February 2012A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 7th February 2012The point (-5, 5) is enlarged by scale factor -3 about the centre (-4, 0). Write down the coordinates of the image.
- 8th February 20123 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th February 2012A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 10th February 2012A bill is £288 including VAT at 20%. Work out the amount before VAT.
- 11th February 2012Factorise x^2 - 6x + 8.
- 12th February 2012y is inversely proportional to x. When x = 2, y = 24. Work out y when x = 6.
- 13th February 2012Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 40 cm^3. Work out the volume of the smaller.
- 14th February 201217 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 February 2012Four classes in order have frequencies 5, 3, 3, 7. Write down the cumulative frequency at the end of the third class.
- 16th February 2012A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 17th February 2012Work out the equation of the line parallel to y = -x - 5 that passes through (6, 0).
- 18th February 2012y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 8.
- 19th February 2012A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 20th February 20124 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st February 201245 voles are marked and released. Later 56 are caught, of which 7 are marked. Estimate the population.
- 22nd February 2012Work out (40 x 10^10) / (5 x 10^2). Give your answer in standard form.
- 23rd February 2012A line has equation y = -4x + 3. Work out the gradient of any line perpendicular to it.
- 24th February 2012y is directly proportional to x. When x = 2, y = 16. Work out y when x = 11.
- 25th February 2012ABCD is a cyclic quadrilateral. Angle ABC is 69°. Work out angle ADC.
- 26th February 201227 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 February 2012A cumulative frequency graph is drawn for 56 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 28th February 2012Write the recurring decimal 0.222... as a fraction in its simplest form.
- 29th February 2012For the curve y = -60/x, work out y when x = 10, and write down the equation of its vertical asymptote.