Daily Practice · Higher
April 2022 - Higher 5-a-day
Every Higher sheet published in April 2022, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2022 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2022
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2022Work out the equation of the line parallel to y = 5x - 7 that passes through (1, 2).
- 2nd April 2022y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 8.
- 3rd April 2022A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 4th April 20223 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th April 202250 beetles are marked and released. Later 24 are caught, of which 3 are marked. Estimate the population.
- 6th April 2022Work out (24 x 10^7) / (8 x 10^2). Give your answer in standard form.
- 7th April 2022A line has equation y = -4x + 7. Work out the gradient of any line perpendicular to it.
- 8th April 2022y is directly proportional to x. When x = 4, y = 36. Work out y when x = 7.
- 9th April 2022ABCD is a cyclic quadrilateral. Angle ABC is 89°. Work out angle ADC.
- 10th April 202212 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th April 2022A cumulative frequency graph is drawn for 140 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th April 2022Write the recurring decimal 0.222... as a fraction in its simplest form.
- 13th April 2022For the curve y = 11/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 14th April 2022A town's population is 14500 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 15th April 2022A, B and C are points on a circle with centre O. Angle AOC is 144°. Work out angle ABC, where B is on the major arc.
- 16th April 20225 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th April 2022A box plot has a minimum of 16 and a maximum of 29. Work out the range.
- 18th April 2022Work out 216^(2/3).
- 19th April 2022Expand and simplify (x + 3)(x + 1)(x - 1).
- 20th April 2022A block has volume 150 cm^3 and density 3 g/cm^3. Work out its mass.
- 21st April 2022A cone has base radius 7 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 22nd April 202229 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd April 2022A box plot has minimum 2, lower quartile 9, median 13, upper quartile 16 and maximum 24. Work out the interquartile range.
- 24th April 2022Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 25th April 2022Make x the subject of y = 3x^2 - 2.
- 26th April 2022x : y = 5 : 7. Write y in terms of x.
- 27th April 2022In triangle ABC, angle A is 56°, angle B is 37° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 28th April 20221 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th April 2022A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 30th April 2022A meal deal has 8 mains, 4 sides and 6 drinks. How many different meals are possible?