Daily Practice · Higher
March 2011 - Higher 5-a-day
Every Higher sheet published in March 2011, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2011 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2011
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2011x : y = 3 : 5. Write y in terms of x.
- 2nd March 2011A 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.
- 3rd March 201123 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th March 2011A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 5th March 2011Work out (4 x 10^6) x (5 x 10^-2). Give your answer in standard form.
- 6th March 2011A region is defined by y < 4x - 5. Should the boundary line be solid or dashed, and why?
- 7th March 2011A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 8th March 2011The point (-4, 0) is enlarged by scale factor -3 about the centre (1, -2). Write down the coordinates of the image.
- 9th March 20112 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th March 2011A histogram class is 5 units wide and contains 7.5 values. Work out the frequency density.
- 11th March 2011Write the recurring decimal 0.6464... as a fraction in its simplest form.
- 12th March 2011Factorise x^2 + 17x + 72.
- 13th March 2011y is inversely proportional to x. When x = 2, y = 12. Work out y when x = 3.
- 14th March 2011Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 999 cm^3. Work out the volume of the smaller.
- 15th March 201117 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th March 2011Four classes in order have frequencies 4, 5, 5, 12. Write down the cumulative frequency at the end of the third class.
- 17th March 2011A bill is £816 including VAT at 20%. Work out the amount before VAT.
- 18th March 2011Work out the equation of the line parallel to y = -5x + 9 that passes through (3, -8).
- 19th March 2011y is directly proportional to x^2. When x = 5, y = 100. Work out y when x = 3.
- 20th March 2011A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 21st March 20111 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd March 201145 fish are marked and released. Later 35 are caught, of which 5 are marked. Estimate the population.
- 23rd March 2011A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 24th March 2011A line has equation y = -3x + 3. Work out the gradient of any line perpendicular to it.
- 25th March 2011y is directly proportional to x. When x = 7, y = 49. Work out y when x = 5.
- 26th March 2011ABCD is a cyclic quadrilateral. Angle ABC is 119°. Work out angle ADC.
- 27th March 201120 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th March 2011A cumulative frequency graph is drawn for 188 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 29th March 2011Work out (6 x 10^12) / (2 x 10^3). Give your answer in standard form.
- 30th March 2011For the curve y = -55/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 31st March 2011A town's population is 33500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.