Daily Practice · Higher
February 1959 5-a-day
Printing for a group?
The batch download puts all 5 tiers' February 1959 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1959
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1959Expand and simplify (x - 4)(x + 4)(x + 2).
- 2nd February 1959A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 3rd February 1959A cone has base radius 7 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 4th February 195923 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th February 1959A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 6th February 1959A mass is 55 kg, correct to the nearest whole number. Write down the lower bound.
- 7th February 1959Make x the subject of y = 5x^2 - 2.
- 8th February 1959y is inversely proportional to x. When x = 9, y = 24. Work out y when x = 6.
- 9th February 1959In triangle ABC, angle A is 59°, angle B is 91° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 10th February 19592 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th February 1959Four classes in order have frequencies 4, 5, 7, 5. Write down the cumulative frequency at the end of the third class.
- 12th February 1959Write 4^-1 as a fraction.
- 13th February 1959Factorise x^2 - 36.
- 14th February 1959y is directly proportional to x^2. When x = 4, y = 128. Work out y when x = 3.
- 15th February 1959A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 16th February 195926 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th February 195930 voles are marked and released. Later 22 are caught, of which 2 are marked. Estimate the population.
- 18th February 1959Work out (6 x 10^5) x (3 x 10^-4). Give your answer in standard form.
- 19th February 1959A region is defined by y < -x + 5. Should the boundary line be solid or dashed, and why?
- 20th February 1959y is directly proportional to x. When x = 5, y = 50. Work out y when x = 13.
- 21st February 1959The point (1, 5) is enlarged by scale factor -2 about the centre (4, 2). Write down the coordinates of the image.
- 22nd February 19592 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd February 1959A cumulative frequency graph is drawn for 216 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 24th February 1959Write the recurring decimal 0.7878... as a fraction in its simplest form.
- 25th February 1959Factorise x^2 - 11x + 24.
- 26th February 1959A town's population is 3000 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 27th February 1959Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 567 cm^3. Work out the volume of the smaller.
- 28th February 195923 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.