Daily Practice · Higher
May 2011 - Higher 5-a-day
Every Higher sheet published in May 2011, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2011 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2011
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2011Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 324 cm^3. Work out the volume of the smaller.
- 2nd May 201131 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd May 201130 fish are marked and released. Later 72 are caught, of which 6 are marked. Estimate the population.
- 4th May 2011Write 5^-2 as a fraction.
- 5th May 2011Work out the equation of the line parallel to y = -4x + 2 that passes through (4, -10).
- 6th May 2011y is directly proportional to x. When x = 3, y = 6. Work out y when x = 2.
- 7th May 2011A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 8th May 20116 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th May 2011A cumulative frequency graph is drawn for 60 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th May 2011Work out (2 x 10^5) x (9 x 10^-3). Give your answer in standard form.
- 11th May 2011A line has equation y = -3x + 2. Work out the gradient of any line perpendicular to it.
- 12th May 2011A town's population is 17000 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 13th May 2011ABCD is a cyclic quadrilateral. Angle ABC is 87°. Work out angle ADC.
- 14th May 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.
- 15th May 2011A box plot has a minimum of 10 and a maximum of 21. Work out the range.
- 16th May 2011Write the recurring decimal 0.5757... as a fraction in its simplest form.
- 17th May 2011For the curve y = -22/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 18th May 2011A block has volume 10 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 19th May 2011A, B and C are points on a circle with centre O. Angle AOC is 88°. Work out angle ABC, where B is on the major arc.
- 20th May 20114 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st May 2011A box plot has minimum 6, lower quartile 11, median 18, upper quartile 24 and maximum 30. Work out the interquartile range.
- 22nd May 2011A bill is £144 including VAT at 20%. Work out the amount before VAT.
- 23rd May 2011Expand and simplify (x - 5)(x + 5)(x + 5).
- 24th May 2011x : y = 3 : 7. Write y in terms of x.
- 25th May 2011A cone has base radius 4 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 26th May 201116 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th May 2011A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 28th May 2011A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 29th May 2011Make x the subject of y = 9x^2 - 3.
- 30th May 2011A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 31st May 2011In triangle ABC, angle A is 44°, angle B is 50° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.