Daily Practice · Higher
February 1975 5-a-day
Printing for a group?
The batch download puts all 5 tiers' February 1975 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1975
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1975A line has equation y = 5x + 1. Work out the gradient of any line perpendicular to it.
- 2nd February 1975y is inversely proportional to x. When x = 2, y = 12. Work out y when x = 4.
- 3rd February 1975ABCD is a cyclic quadrilateral. Angle ABC is 122°. Work out angle ADC.
- 4th February 197525 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th February 1975Four classes in order have frequencies 12, 9, 9, 11. Write down the cumulative frequency at the end of the third class.
- 6th February 1975Work out (36 x 10^9) / (9 x 10^5). Give your answer in standard form.
- 7th February 1975For the curve y = 2/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 8th February 1975y is directly proportional to x^2. When x = 2, y = 8. Work out y when x = 6.
- 9th February 1975A, B and C are points on a circle with centre O. Angle AOC is 86°. Work out angle ABC, where B is on the major arc.
- 10th February 19754 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th February 197540 newts are marked and released. Later 33 are caught, of which 3 are marked. Estimate the population.
- 12th February 1975Write the recurring decimal 0.666... as a fraction in its simplest form.
- 13th February 1975Expand and simplify (x - 3)(x + 2)(x - 4).
- 14th February 1975y is directly proportional to x. When x = 6, y = 54. Work out y when x = 11.
- 15th February 1975A cone has base radius 10 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 16th February 197510 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th February 1975A cumulative frequency graph is drawn for 180 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 18th February 1975Work out 16^(3/2).
- 19th February 1975Make x the subject of y = 5x^2 - 4.
- 20th February 1975A town's population is 2000 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 21st February 1975In triangle ABC, angle A is 33°, angle B is 58° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 22nd February 19752 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd February 1975A box plot has a minimum of 8 and a maximum of 37. Work out the range.
- 24th February 1975Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 25th February 1975Factorise x^2 - 4.
- 26th February 1975A block has volume 165 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 27th February 1975A 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.
- 28th February 197514 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.