Daily Practice · Higher
July 2024 - Higher 5-a-day
Every Higher sheet published in July 2024, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2024 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2024
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2024A line has equation y = 2x + 2. Work out the gradient of any line perpendicular to it.
- 2nd July 2024x : y = 5 : 6. Write y in terms of x.
- 3rd July 2024ABCD is a cyclic quadrilateral. Angle ABC is 89°. Work out angle ADC.
- 4th July 202429 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th July 2024A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 6th July 2024A mass is 690 kg, correct to the nearest 10. Write down the upper bound.
- 7th July 2024For the curve y = -4/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 8th July 2024A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 9th July 2024A, B and C are points on a circle with centre O. Angle AOC is 102°. Work out angle ABC, where B is on the major arc.
- 10th July 20241 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th July 2024A histogram class is 5 units wide and contains 20 values. Work out the frequency density.
- 12th July 2024Write 6^-3 as a fraction.
- 13th July 2024Expand and simplify (x - 2)(x - 2)(x + 1).
- 14th July 2024y is inversely proportional to x. When x = 4, y = 10. Work out y when x = 10.
- 15th July 2024A cone has base radius 7 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 16th July 202413 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th July 2024Four classes in order have frequencies 8, 5, 5, 10. Write down the cumulative frequency at the end of the third class.
- 18th July 2024Work out (3 x 10^4) x (9 x 10^-6). Give your answer in standard form.
- 19th July 2024Make x the subject of y = 9x^2 - 5.
- 20th July 2024y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 5.
- 21st July 2024In triangle ABC, angle A is 41°, angle B is 98° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 22nd July 20242 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd July 202430 beetles are marked and released. Later 40 are caught, of which 8 are marked. Estimate the population.
- 24th July 2024Write the recurring decimal 0.9191... as a fraction in its simplest form.
- 25th July 2024Factorise x^2 - 4.
- 26th July 2024y is directly proportional to x. When x = 3, y = 6. Work out y when x = 8.
- 27th July 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.
- 28th July 20247 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th July 2024A cumulative frequency graph is drawn for 116 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 30th July 2024A bill is £48 including VAT at 20%. Work out the amount before VAT.
- 31st July 2024A region is defined by y < -x + 3. Should the boundary line be solid or dashed, and why?