Daily Practice · Higher
April 2019 - Higher 5-a-day
Every Higher sheet published in April 2019, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2019 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2019
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2019ABCD is a cyclic quadrilateral. Angle ABC is 86°. Work out angle ADC.
- 2nd April 201916 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd April 2019Four classes in order have frequencies 5, 7, 5, 7. Write down the cumulative frequency at the end of the third class.
- 4th April 2019A meal deal has 3 mains, 7 sides and 2 drinks. How many different meals are possible?
- 5th April 2019For the curve y = 18/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 6th April 2019y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 6.
- 7th April 2019A, B and C are points on a circle with centre O. Angle AOC is 56°. Work out angle ABC, where B is on the major arc.
- 8th April 20192 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th April 201935 beetles are marked and released. Later 42 are caught, of which 6 are marked. Estimate the population.
- 10th April 2019A mass is 640 kg, correct to the nearest 10. Write down the upper bound.
- 11th April 2019Expand and simplify (x + 3)(x - 5)(x + 3).
- 12th April 2019y is directly proportional to x. When x = 6, y = 36. Work out y when x = 2.
- 13th April 2019A cone has base radius 3 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 14th April 201920 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th April 2019A cumulative frequency graph is drawn for 140 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 16th April 2019Write 9^-3 as a fraction.
- 17th April 2019Make x the subject of y = 2x^2 - 8.
- 18th April 2019A town's population is 24000 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 19th April 2019In triangle ABC, angle A is 65°, angle B is 33° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 20th April 20193 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st April 2019A box plot has a minimum of 4 and a maximum of 64. Work out the range.
- 22nd April 2019Work out (2 x 10^3) x (2 x 10^-4). Give your answer in standard form.
- 23rd April 2019Factorise x^2 - 36.
- 24th April 2019A block has volume 25 cm^3 and density 8 g/cm^3. Work out its mass.
- 25th April 2019A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 26th April 201920 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th April 2019A box plot has minimum 2, lower quartile 12, median 22, upper quartile 28 and maximum 34. Work out the interquartile range.
- 28th April 2019Write the recurring decimal 0.3030... as a fraction in its simplest form.
- 29th April 2019A region is defined by y <= -4x + 8. Should the boundary line be solid or dashed, and why?
- 30th April 2019x : y = 4 : 5. Write y in terms of x.