Daily Practice · Higher
May 2009 - Higher 5-a-day
Every Higher sheet published in May 2009, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2009 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2009
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2009A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 2nd May 2009A mass is 23 kg, correct to the nearest whole number. Write down the upper bound.
- 3rd May 2009A region is defined by y < 3x + 3. Should the boundary line be solid or dashed, and why?
- 4th May 2009A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 5th May 2009The point (-1, 3) is enlarged by scale factor -2 about the centre (-3, 4). Write down the coordinates of the image.
- 6th May 20091 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th May 2009A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 8th May 2009Write 4^-1 as a fraction.
- 9th May 2009Factorise x^2 - 9x + 20.
- 10th May 2009y is inversely proportional to x. When x = 5, y = 30. Work out y when x = 10.
- 11th May 2009Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2176 cm^3. Work out the volume of the smaller.
- 12th May 200911 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th May 2009Four classes in order have frequencies 5, 6, 3, 5. Write down the cumulative frequency at the end of the third class.
- 14th May 2009Work out (6 x 10^7) x (8 x 10^3). Give your answer in standard form.
- 15th May 2009Work out the equation of the line parallel to y = x - 1 that passes through (6, -2).
- 16th May 2009y is directly proportional to x^2. When x = 2, y = 24. Work out y when x = 9.
- 17th May 2009A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 18th May 20096 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th May 200915 voles are marked and released. Later 44 are caught, of which 4 are marked. Estimate the population.
- 20th May 2009Write the recurring decimal 0.3636... as a fraction in its simplest form.
- 21st May 2009A line has equation y = 5x + 3. Work out the gradient of any line perpendicular to it.
- 22nd May 2009y is directly proportional to x. When x = 9, y = 63. Work out y when x = 12.
- 23rd May 2009ABCD is a cyclic quadrilateral. Angle ABC is 108°. Work out angle ADC.
- 24th May 200918 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th May 2009A cumulative frequency graph is drawn for 128 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 26th May 2009A bill is £264 including VAT at 20%. Work out the amount before VAT.
- 27th May 2009For the curve y = -40/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 28th May 2009A town's population is 11500 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 29th May 2009A, B and C are points on a circle with centre O. Angle AOC is 148°. Work out angle ABC, where B is on the major arc.
- 30th May 20095 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st May 2009A box plot has a minimum of 19 and a maximum of 55. Work out the range.