Daily Practice · Higher
June 2024 - Higher 5-a-day
Every Higher sheet published in June 2024, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' June 2024 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2024
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2024Make x the subject of y = 7x^2 - 6.
- 2nd June 2024y is inversely proportional to x. When x = 2, y = 50. Work out y when x = 10.
- 3rd June 2024In triangle ABC, angle A is 46°, angle B is 104° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4th June 20243 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th June 2024Four classes in order have frequencies 3, 6, 8, 7. Write down the cumulative frequency at the end of the third class.
- 6th June 2024Work out (12 x 10^11) / (3 x 10^4). Give your answer in standard form.
- 7th June 2024Factorise x^2 - 81.
- 8th June 2024y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 6.
- 9th June 2024A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 10th June 202421 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th June 202415 fish are marked and released. Later 63 are caught, of which 9 are marked. Estimate the population.
- 12th June 2024Write the recurring decimal 0.666... as a fraction in its simplest form.
- 13th June 2024A region is defined by y < 2x + 9. Should the boundary line be solid or dashed, and why?
- 14th June 2024y is directly proportional to x. When x = 3, y = 27. Work out y when x = 7.
- 15th June 2024The point (-4, 3) is enlarged by scale factor -2 about the centre (4, 2). Write down the coordinates of the image.
- 16th June 20243 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th June 2024A cumulative frequency graph is drawn for 92 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 18th June 2024Work out 216^(2/3).
- 19th June 2024Factorise x^2 - 36.
- 20th June 2024A town's population is 15500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 21st June 2024Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 120 cm^3. Work out the volume of the smaller.
- 22nd June 202419 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd June 2024A box plot has a minimum of 9 and a maximum of 64. Work out the range.
- 24th June 2024Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 25th June 2024Work out the equation of the line parallel to y = 3x - 3 that passes through (1, -1).
- 26th June 2024A block has volume 20 cm^3 and density 11 g/cm^3. Work out its mass.
- 27th June 2024A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 28th June 20245 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th June 2024A box plot has minimum 10, lower quartile 16, median 25, upper quartile 31 and maximum 40. Work out the interquartile range.
- 30th June 2024A meal deal has 7 mains, 4 sides and 2 drinks. How many different meals are possible?