Daily Practice · Higher
February 2021 - Higher 5-a-day
Every Higher sheet published in February 2021, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2021 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2021
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2021ABCD is a cyclic quadrilateral. Angle ABC is 98°. Work out angle ADC.
- 2nd February 202110 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd February 2021Four classes in order have frequencies 8, 11, 10, 9. Write down the cumulative frequency at the end of the third class.
- 4th February 2021Write 5^-1 as a fraction.
- 5th February 2021For the curve y = -12/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 6th February 2021y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 4.
- 7th February 2021A, B and C are points on a circle with centre O. Angle AOC is 174°. Work out angle ABC, where B is on the major arc.
- 8th February 20214 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th February 202150 voles are marked and released. Later 48 are caught, of which 6 are marked. Estimate the population.
- 10th February 2021Work out (8 x 10^4) x (6 x 10^2). Give your answer in standard form.
- 11th February 2021Expand and simplify (x - 4)(x + 1)(x + 1).
- 12th February 2021y is directly proportional to x. When x = 6, y = 36. Work out y when x = 12.
- 13th February 2021A cone has base radius 4 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 14th February 202124 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th February 2021A cumulative frequency graph is drawn for 208 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 16th February 2021Write the recurring decimal 0.1818... as a fraction in its simplest form.
- 17th February 2021Make x the subject of y = 4x^2 - 10.
- 18th February 2021A town's population is 31000 and grows by 6% each year. Work out the population after 3 years, to the nearest whole number.
- 19th February 2021In triangle ABC, angle A is 47°, angle B is 47° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 20th February 20213 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st February 2021A box plot has a minimum of 6 and a maximum of 41. Work out the range.
- 22nd February 2021A bill is £216 including VAT at 20%. Work out the amount before VAT.
- 23rd February 2021Factorise x^2 - 121.
- 24th February 2021A block has volume 40 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 25th February 2021A 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.
- 26th February 202112 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th February 2021A box plot has minimum 13, lower quartile 17, median 26, upper quartile 35 and maximum 42. Work out the interquartile range.
- 28th February 2021A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?