Daily Practice · Higher
April 2021 - Higher 5-a-day
Every Higher sheet published in April 2021, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2021 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2021
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2021A town's population is 34500 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 2nd April 2021A cone has base radius 10 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 3rd April 202125 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th April 2021A box plot has a minimum of 5 and a maximum of 58. Work out the range.
- 5th April 2021A mass is 16.1 kg, correct to 1 decimal place. Write down the lower bound.
- 6th April 2021Make x the subject of y = 5x^2 - 7.
- 7th April 2021A block has volume 50 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 8th April 2021In triangle ABC, angle A is 31°, angle B is 39° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 9th April 20216 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th April 2021A box plot has minimum 15, lower quartile 23, median 27, upper quartile 31 and maximum 41. Work out the interquartile range.
- 11th April 2021Write 2^-2 as a fraction.
- 12th April 2021Factorise x^2 - 64.
- 13th April 2021x : y = 2 : 7. Write y in terms of x.
- 14th April 2021A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 15th April 202113 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th April 2021A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 17th April 2021Work out (4 x 10^4) x (7 x 10^6). Give your answer in standard form.
- 18th April 2021A region is defined by y < -3x + 8. Should the boundary line be solid or dashed, and why?
- 19th April 2021A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 20th April 2021The point (-1, 4) is enlarged by scale factor -1 about the centre (-3, 4). Write down the coordinates of the image.
- 21st April 20213 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd April 2021A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 23rd April 2021Write the recurring decimal 0.9898... as a fraction in its simplest form.
- 24th April 2021Factorise x^2 + 11x + 18.
- 25th April 2021y is inversely proportional to x. When x = 8, y = 24. Work out y when x = 12.
- 26th April 2021Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 168 cm^3. Work out the volume of the smaller.
- 27th April 202111 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th April 2021Four classes in order have frequencies 10, 8, 11, 10. Write down the cumulative frequency at the end of the third class.
- 29th April 2021A bill is £600 including VAT at 20%. Work out the amount before VAT.
- 30th April 2021Work out the equation of the line parallel to y = -3x - 7 that passes through (2, 2).