Daily Practice · Higher
April 2023 - Higher 5-a-day
Every Higher sheet published in April 2023, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2023 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2023
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2023A mass is 450 kg, correct to the nearest 10. Write down the upper bound.
- 2nd April 2023Factorise x^2 - 36.
- 3rd April 2023A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 4th April 2023A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 5th April 202316 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th April 2023A histogram class is 2 units wide and contains 6 values. Work out the frequency density.
- 7th April 2023Write 2^-1 as a fraction.
- 8th April 2023A region is defined by y <= -x - 9. Should the boundary line be solid or dashed, and why?
- 9th April 2023y is inversely proportional to x. When x = 6, y = 25. Work out y when x = 5.
- 10th April 2023The point (-6, 1) is enlarged by scale factor -1 about the centre (-3, -4). Write down the coordinates of the image.
- 11th April 20232 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th April 2023Four classes in order have frequencies 3, 3, 8, 6. Write down the cumulative frequency at the end of the third class.
- 13th April 2023Work out (8 x 10^7) x (8 x 10^-5). Give your answer in standard form.
- 14th April 2023Factorise x^2 + 5x - 36.
- 15th April 2023y is directly proportional to x^2. When x = 4, y = 96. Work out y when x = 2.
- 16th April 2023Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 312 cm^3. Work out the volume of the smaller.
- 17th April 202324 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th April 202355 voles are marked and released. Later 36 are caught, of which 3 are marked. Estimate the population.
- 19th April 2023Write the recurring decimal 0.5151... as a fraction in its simplest form.
- 20th April 2023Work out the equation of the line parallel to y = 4x - 7 that passes through (5, 14).
- 21st April 2023y is directly proportional to x. When x = 4, y = 32. Work out y when x = 11.
- 22nd April 2023A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 23rd April 20236 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th April 2023A cumulative frequency graph is drawn for 216 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th April 2023A bill is £600 including VAT at 20%. Work out the amount before VAT.
- 26th April 2023A line has equation y = 4x + 3. Work out the gradient of any line perpendicular to it.
- 27th April 2023A town's population is 37500 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
- 28th April 2023ABCD is a cyclic quadrilateral. Angle ABC is 123°. Work out angle ADC.
- 29th April 202324 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th April 2023A box plot has a minimum of 18 and a maximum of 33. Work out the range.