Daily Practice · Higher
April 2024 - Higher 5-a-day
Every Higher sheet published in April 2024, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2024 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2024
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2024Work out (18 x 10^11) / (3 x 10^2). Give your answer in standard form.
- 2nd April 2024For the curve y = 40/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 3rd April 2024A block has volume 160 cm^3 and density 8 g/cm^3. Work out its mass.
- 4th April 2024A, B and C are points on a circle with centre O. Angle AOC is 58°. Work out angle ABC, where B is on the major arc.
- 5th April 20242 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th April 2024A box plot has minimum 13, lower quartile 21, median 28, upper quartile 33 and maximum 39. Work out the interquartile range.
- 7th April 2024Write the recurring decimal 0.111... as a fraction in its simplest form.
- 8th April 2024Expand and simplify (x - 4)(x + 5)(x - 3).
- 9th April 2024x : y = 2 : 5. Write y in terms of x.
- 10th April 2024A cone has base radius 7 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 11th April 202425 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th April 2024A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 13th April 2024Work out 64^(2/3).
- 14th April 2024Make x the subject of y = 8x^2 - 11.
- 15th April 2024A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 16th April 2024In triangle ABC, angle A is 33°, angle B is 104° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 17th April 20241 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th April 2024A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 19th April 2024Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 20th April 2024Factorise x^2 - 4.
- 21st April 2024y is inversely proportional to x. When x = 4, y = 6. Work out y when x = 2.
- 22nd April 2024A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 23rd April 20248 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th April 2024Four classes in order have frequencies 7, 6, 8, 10. Write down the cumulative frequency at the end of the third class.
- 25th April 2024A meal deal has 9 mains, 7 sides and 6 drinks. How many different meals are possible?
- 26th April 2024A region is defined by y < 5x + 3. Should the boundary line be solid or dashed, and why?
- 27th April 2024y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 8.
- 28th April 2024The point (2, 2) is enlarged by scale factor -1 about the centre (0, 2). Write down the coordinates of the image.
- 29th April 20243 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th April 202420 beetles are marked and released. Later 35 are caught, of which 7 are marked. Estimate the population.