Daily Practice · Higher
February 1987 5-a-day
Printing for a group?
The batch download puts all 5 tiers' February 1987 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1987
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 198724 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd February 1987A cumulative frequency graph is drawn for 140 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3rd February 1987A meal deal has 9 mains, 6 sides and 6 drinks. How many different meals are possible?
- 4th February 1987Make x the subject of y = 6x^2 - 10.
- 5th February 1987A town's population is 35500 and grows by 4% each year. Work out the population after 4 years, to the nearest whole number.
- 6th February 1987In triangle ABC, angle A is 40°, angle B is 41° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 7th February 19876 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th February 1987A box plot has a minimum of 16 and a maximum of 55. Work out the range.
- 9th February 1987A mass is 78 kg, correct to the nearest whole number. Write down the lower bound.
- 10th February 1987Factorise x^2 - 144.
- 11th February 1987A block has volume 75 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 12th February 1987A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 13th February 198712 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th February 1987A box plot has minimum 12, lower quartile 22, median 27, upper quartile 34 and maximum 36. Work out the interquartile range.
- 15th February 1987Write 5^-2 as a fraction.
- 16th February 1987A region is defined by y <= x + 5. Should the boundary line be solid or dashed, and why?
- 17th February 1987x : y = 2 : 9. Write y in terms of x.
- 18th February 1987The point (1, -2) is enlarged by scale factor -2 about the centre (-1, -3). Write down the coordinates of the image.
- 19th February 19873 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th February 1987A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 21st February 1987Work out (6 x 10^4) x (8 x 10^4). Give your answer in standard form.
- 22nd February 1987Factorise x^2 - 1.
- 23rd February 1987A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 24th February 1987Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 896 cm^3. Work out the volume of the smaller.
- 25th February 198715 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th February 1987A histogram class is 5 units wide and contains 20 values. Work out the frequency density.
- 27th February 1987Write the recurring decimal 0.7979... as a fraction in its simplest form.
- 28th February 1987Work out the equation of the line parallel to y = -3x - 8 that passes through (4, -11).