Daily Practice · Higher
March 2024 - Higher 5-a-day
Every Higher sheet published in March 2024, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2024 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2024
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2024A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 2nd March 2024Write 9^-2 as a fraction.
- 3rd March 2024Factorise x^2 - 121.
- 4th March 2024A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 5th March 2024A 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.
- 6th March 202423 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th March 2024A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 8th March 2024Work out (8 x 10^8) x (3 x 10^-3). Give your answer in standard form.
- 9th March 2024A region is defined by y <= x - 5. Should the boundary line be solid or dashed, and why?
- 10th March 2024y is inversely proportional to x. When x = 6, y = 40. Work out y when x = 10.
- 11th March 2024The point (0, -6) is enlarged by scale factor -1 about the centre (-3, -2). Write down the coordinates of the image.
- 12th March 20245 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th March 2024Four classes in order have frequencies 7, 11, 9, 4. Write down the cumulative frequency at the end of the third class.
- 14th March 2024Write the recurring decimal 0.3737... as a fraction in its simplest form.
- 15th March 2024Factorise x^2 - 6x - 27.
- 16th March 2024y is directly proportional to x^2. When x = 6, y = 180. Work out y when x = 2.
- 17th March 2024Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1024 cm^3. Work out the volume of the smaller.
- 18th March 202410 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th March 202415 newts are marked and released. Later 25 are caught, of which 5 are marked. Estimate the population.
- 20th March 2024A bill is £864 including VAT at 20%. Work out the amount before VAT.
- 21st March 2024Work out the equation of the line parallel to y = -5x - 3 that passes through (3, -9).
- 22nd March 2024y is directly proportional to x. When x = 5, y = 20. Work out y when x = 6.
- 23rd March 2024A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 24th March 20244 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th March 2024A cumulative frequency graph is drawn for 108 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 26th March 2024A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 27th March 2024A line has equation y = 3x + 7. Work out the gradient of any line perpendicular to it.
- 28th March 2024A town's population is 22500 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 29th March 2024ABCD is a cyclic quadrilateral. Angle ABC is 102°. Work out angle ADC.
- 30th March 202427 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st March 2024A box plot has a minimum of 15 and a maximum of 26. Work out the range.