Daily Practice · Higher
February 2023 - Higher 5-a-day
Every Higher sheet published in February 2023, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2023 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2023
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2023Expand and simplify (x + 4)(x + 2)(x + 5).
- 2nd February 2023A town's population is 35000 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 3rd February 2023A cone has base radius 4 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 4th February 202325 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th February 2023A box plot has a minimum of 11 and a maximum of 67. Work out the range.
- 6th February 2023Work out (3 x 10^8) x (5 x 10^3). Give your answer in standard form.
- 7th February 2023Make x the subject of y = 2x^2 - 2.
- 8th February 2023A block has volume 105 cm^3 and density 8 g/cm^3. Work out its mass.
- 9th February 2023In triangle ABC, angle A is 51°, angle B is 44° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 10th February 20231 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th February 2023A box plot has minimum 15, lower quartile 17, median 20, upper quartile 24 and maximum 31. Work out the interquartile range.
- 12th February 2023Write the recurring decimal 0.4141... as a fraction in its simplest form.
- 13th February 2023Factorise x^2 - 25.
- 14th February 2023x : y = 5 : 6. Write y in terms of x.
- 15th February 2023A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 16th February 202317 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th February 2023A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 18th February 2023A bill is £288 including VAT at 20%. Work out the amount before VAT.
- 19th February 2023A region is defined by y <= -x - 2. Should the boundary line be solid or dashed, and why?
- 20th February 2023A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 21st February 2023The point (0, 2) is enlarged by scale factor -3 about the centre (1, -2). Write down the coordinates of the image.
- 22nd February 20237 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd February 2023A histogram class is 4 units wide and contains 2 values. Work out the frequency density.
- 24th February 2023A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 25th February 2023Factorise x^2 - 12x + 27.
- 26th February 2023y is inversely proportional to x. When x = 9, y = 36. Work out y when x = 12.
- 27th February 2023Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 64 cm^3. Work out the volume of the smaller.
- 28th February 202329 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.