Daily Practice · Higher
February 2024 - Higher 5-a-day
Every Higher sheet published in February 2024, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2024 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 2024
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2024Write the recurring decimal 0.111... as a fraction in its simplest form.
- 2nd February 2024Work out the equation of the line parallel to y = -2x + 6 that passes through (3, -1).
- 3rd February 2024y is directly proportional to x^2. When x = 5, y = 100. Work out y when x = 3.
- 4th February 2024A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 5th February 20243 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th February 202430 fish are marked and released. Later 45 are caught, of which 5 are marked. Estimate the population.
- 7th February 2024Work out 8^(2/3).
- 8th February 2024A line has equation y = 4x + 4. Work out the gradient of any line perpendicular to it.
- 9th February 2024y is directly proportional to x. When x = 5, y = 10. Work out y when x = 10.
- 10th February 2024ABCD is a cyclic quadrilateral. Angle ABC is 91°. Work out angle ADC.
- 11th February 202418 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th February 2024A cumulative frequency graph is drawn for 96 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th February 2024Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 14th February 2024For the curve y = 45/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 15th February 2024A town's population is 24000 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 16th February 2024A, B and C are points on a circle with centre O. Angle AOC is 154°. Work out angle ABC, where B is on the major arc.
- 17th February 20247 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th February 2024A box plot has a minimum of 20 and a maximum of 63. Work out the range.
- 19th February 2024A meal deal has 6 mains, 3 sides and 4 drinks. How many different meals are possible?
- 20th February 2024Expand and simplify (x + 5)(x + 5)(x + 5).
- 21st February 2024A block has volume 185 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 22nd February 2024A cone has base radius 6 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 23rd February 202427 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th February 2024A box plot has minimum 2, lower quartile 8, median 12, upper quartile 19 and maximum 26. Work out the interquartile range.
- 25th February 2024A mass is 40 kg, correct to the nearest 10. Write down the lower bound.
- 26th February 2024Make x the subject of y = 7x^2 - 8.
- 27th February 2024x : y = 2 : 3. Write y in terms of x.
- 28th February 2024In triangle ABC, angle A is 55°, angle B is 38° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 29th February 20241 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.