Daily Practice · Higher
April 2010 - Higher 5-a-day
Every Higher sheet published in April 2010, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2010 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2010
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 201028 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd April 2010A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 3rd April 2010Write 5^-1 as a fraction.
- 4th April 2010A region is defined by y < 2x - 5. Should the boundary line be solid or dashed, and why?
- 5th April 2010A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 6th April 2010The point (3, -6) is enlarged by scale factor -1 about the centre (3, -4). Write down the coordinates of the image.
- 7th April 20102 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th April 2010A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 9th April 2010Work out (6 x 10^5) x (3 x 10^3). Give your answer in standard form.
- 10th April 2010Factorise x^2 - 3x - 18.
- 11th April 2010y is inversely proportional to x. When x = 4, y = 36. Work out y when x = 6.
- 12th April 2010Two 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.
- 13th April 201016 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th April 2010Four classes in order have frequencies 12, 7, 3, 9. Write down the cumulative frequency at the end of the third class.
- 15th April 2010Write the recurring decimal 0.9191... as a fraction in its simplest form.
- 16th April 2010Work out the equation of the line parallel to y = 5x + 9 that passes through (2, 21).
- 17th April 2010y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 6.
- 18th April 2010A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 19th April 20108 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th April 201010 voles are marked and released. Later 12 are caught, of which 2 are marked. Estimate the population.
- 21st April 2010A bill is £192 including VAT at 20%. Work out the amount before VAT.
- 22nd April 2010A line has equation y = -3x + 2. Work out the gradient of any line perpendicular to it.
- 23rd April 2010y is directly proportional to x. When x = 9, y = 108. Work out y when x = 11.
- 24th April 2010ABCD is a cyclic quadrilateral. Angle ABC is 56°. Work out angle ADC.
- 25th April 201015 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th April 2010A cumulative frequency graph is drawn for 176 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 27th April 2010A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 28th April 2010For the curve y = 20/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 29th April 2010A town's population is 17000 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 30th April 2010A, B and C are points on a circle with centre O. Angle AOC is 66°. Work out angle ABC, where B is on the major arc.