Daily Practice · Higher
April 2020 - Higher 5-a-day
Every Higher sheet published in April 2020, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2020 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2020
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2020The point (0, -5) is enlarged by scale factor -1 about the centre (3, -3). Write down the coordinates of the image.
- 2nd April 20204 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd April 2020A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 4th April 2020A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 5th April 2020Factorise x^2 + 9x + 18.
- 6th April 2020A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 7th April 2020Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 248 cm^3. Work out the volume of the smaller.
- 8th April 202030 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th April 2020A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 10th April 2020Work out (16 x 10^6) / (4 x 10^4). Give your answer in standard form.
- 11th April 2020Work out the equation of the line parallel to y = 2x - 4 that passes through (4, 3).
- 12th April 2020y is inversely proportional to x. When x = 9, y = 15. Work out y when x = 3.
- 13th April 2020A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 14th April 20202 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th April 2020Four classes in order have frequencies 11, 9, 8, 6. Write down the cumulative frequency at the end of the third class.
- 16th April 2020Write the recurring decimal 0.555... as a fraction in its simplest form.
- 17th April 2020A line has equation y = -5x + 7. Work out the gradient of any line perpendicular to it.
- 18th April 2020y is directly proportional to x^2. When x = 4, y = 64. Work out y when x = 3.
- 19th April 2020ABCD is a cyclic quadrilateral. Angle ABC is 128°. Work out angle ADC.
- 20th April 202022 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st April 202050 voles are marked and released. Later 55 are caught, of which 5 are marked. Estimate the population.
- 22nd April 2020Work out 25^(3/2).
- 23rd April 2020For the curve y = 3/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 24th April 2020y is directly proportional to x. When x = 9, y = 54. Work out y when x = 4.
- 25th April 2020A, B and C are points on a circle with centre O. Angle AOC is 102°. Work out angle ABC, where B is on the major arc.
- 26th April 20203 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th April 2020A cumulative frequency graph is drawn for 220 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 28th April 2020Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 29th April 2020Expand and simplify (x + 5)(x + 1)(x - 4).
- 30th April 2020A town's population is 12000 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.