Daily Practice · Higher
February 1972 5-a-day
Printing for a group?
The batch download puts all 5 tiers' February 1972 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 1972
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1972A, B and C are points on a circle with centre O. Angle AOC is 96°. Work out angle ABC, where B is on the major arc.
- 2nd February 19727 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd February 1972A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 4th February 1972A meal deal has 3 mains, 9 sides and 5 drinks. How many different meals are possible?
- 5th February 1972Expand and simplify (x - 4)(x + 4)(x + 4).
- 6th February 1972y is inversely proportional to x. When x = 4, y = 30. Work out y when x = 10.
- 7th February 1972A cone has base radius 6 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 8th February 197212 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th February 1972Four classes in order have frequencies 10, 5, 9, 10. Write down the cumulative frequency at the end of the third class.
- 10th February 1972A mass is 24 kg, correct to 1 decimal place. Write down the lower bound.
- 11th February 1972Make x the subject of y = 7x^2 - 7.
- 12th February 1972y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 8.
- 13th February 1972In triangle ABC, angle A is 55°, angle B is 73° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 14th February 19723 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th February 197210 fish are marked and released. Later 21 are caught, of which 7 are marked. Estimate the population.
- 16th February 1972Write 5^-1 as a fraction.
- 17th February 1972Factorise x^2 - 25.
- 18th February 1972y is directly proportional to x. When x = 3, y = 18. Work out y when x = 14.
- 19th February 1972A 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.
- 20th February 197225 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st February 1972A cumulative frequency graph is drawn for 240 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 22nd February 1972Work out (7 x 10^8) x (3 x 10^3). Give your answer in standard form.
- 23rd February 1972A region is defined by y < -x + 2. Should the boundary line be solid or dashed, and why?
- 24th February 1972A town's population is 28000 and grows by 6% each year. Work out the population after 3 years, to the nearest whole number.
- 25th February 1972The point (-5, 5) is enlarged by scale factor -1 about the centre (-2, -2). Write down the coordinates of the image.
- 26th February 19722 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th February 1972A box plot has a minimum of 11 and a maximum of 66. Work out the range.
- 28th February 1972Write the recurring decimal 0.2929... as a fraction in its simplest form.
- 29th February 1972Factorise x^2 + 15x + 56.