Daily Practice · Higher
March 2022 - Higher 5-a-day
Every Higher sheet published in March 2022, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2022 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2022
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2022A mass is 19 kg, correct to the nearest whole number. Write down the upper bound.
- 2nd March 2022Expand and simplify (x - 3)(x + 3)(x - 1).
- 3rd March 2022A town's population is 5000 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 4th March 2022A cone has base radius 5 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 5th March 202220 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th March 2022A box plot has a minimum of 3 and a maximum of 23. Work out the range.
- 7th March 2022Write 6^-3 as a fraction.
- 8th March 2022Make x the subject of y = 3x^2 - 2.
- 9th March 2022A block has volume 85 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 10th March 2022In triangle ABC, angle A is 56°, angle B is 78° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 11th March 20224 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th March 2022A box plot has minimum 9, lower quartile 12, median 19, upper quartile 28 and maximum 36. Work out the interquartile range.
- 13th March 2022Work out (2 x 10^7) x (6 x 10^-5). Give your answer in standard form.
- 14th March 2022Factorise x^2 - 25.
- 15th March 2022x : y = 5 : 9. Write y in terms of x.
- 16th March 2022A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 17th March 202225 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th March 2022A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 19th March 2022Write the recurring decimal 0.6363... as a fraction in its simplest form.
- 20th March 2022A region is defined by y < -x + 7. Should the boundary line be solid or dashed, and why?
- 21st March 2022A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 22nd March 2022The point (0, 5) is enlarged by scale factor -2 about the centre (-1, -2). Write down the coordinates of the image.
- 23rd March 20223 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th March 2022A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 25th March 2022A bill is £720 including VAT at 20%. Work out the amount before VAT.
- 26th March 2022Factorise x^2 - 6x + 9.
- 27th March 2022y is inversely proportional to x. When x = 6, y = 16. Work out y when x = 4.
- 28th March 2022Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 256 cm^3. Work out the volume of the smaller.
- 29th March 202221 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th March 2022Four classes in order have frequencies 7, 9, 10, 7. Write down the cumulative frequency at the end of the third class.
- 31st March 2022A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?