Daily Practice · Higher
February 2020 - Higher 5-a-day
Every Higher sheet published in February 2020, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2020 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 2020
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 2020In triangle ABC, angle A is 65°, angle B is 39° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2nd February 20203 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd February 2020A cumulative frequency graph is drawn for 224 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4th February 2020Work out (18 x 10^8) / (3 x 10^2). Give your answer in standard form.
- 5th February 2020Factorise x^2 - 16.
- 6th February 2020A town's population is 30500 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 7th February 2020A 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.
- 8th February 202020 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th February 2020A box plot has a minimum of 12 and a maximum of 62. Work out the range.
- 10th February 2020Write the recurring decimal 0.222... as a fraction in its simplest form.
- 11th February 2020A region is defined by y < 5x + 2. Should the boundary line be solid or dashed, and why?
- 12th February 2020A block has volume 100 cm^3 and density 8 g/cm^3. Work out its mass.
- 13th February 2020The point (-4, -5) is enlarged by scale factor -3 about the centre (-4, 3). Write down the coordinates of the image.
- 14th February 20205 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th February 2020A box plot has minimum 9, lower quartile 12, median 16, upper quartile 18 and maximum 28. Work out the interquartile range.
- 16th February 2020Work out 49^(3/2).
- 17th February 2020Factorise x^2 + 4x - 32.
- 18th February 2020x : y = 2 : 3. Write y in terms of x.
- 19th February 2020Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 729 cm^3. Work out the volume of the smaller.
- 20th February 202022 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st February 2020A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 22nd February 2020Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 23rd February 2020Work out the equation of the line parallel to y = -x + 2 that passes through (1, -12).
- 24th February 2020A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 25th February 2020A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 26th February 20203 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th February 2020A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 28th February 2020A meal deal has 3 mains, 8 sides and 4 drinks. How many different meals are possible?
- 29th February 2020A line has equation y = 2x + 6. Work out the gradient of any line perpendicular to it.