Daily Practice · Higher
February 1985 5-a-day
Printing for a group?
The batch download puts all 5 tiers' February 1985 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1985
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1985Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 2nd February 1985For the curve y = 22/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 3rd February 1985y is inversely proportional to x. When x = 4, y = 30. Work out y when x = 5.
- 4th February 1985A, B and C are points on a circle with centre O. Angle AOC is 100°. Work out angle ABC, where B is on the major arc.
- 5th February 19857 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th February 1985Four classes in order have frequencies 8, 7, 11, 10. Write down the cumulative frequency at the end of the third class.
- 7th February 1985A meal deal has 4 mains, 3 sides and 6 drinks. How many different meals are possible?
- 8th February 1985Expand and simplify (x + 1)(x + 4)(x - 5).
- 9th February 1985y is directly proportional to x^2. When x = 2, y = 16. Work out y when x = 7.
- 10th February 1985A cone has base radius 6 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 11th February 198521 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th February 198545 beetles are marked and released. Later 70 are caught, of which 7 are marked. Estimate the population.
- 13th February 1985A mass is 16.3 kg, correct to 1 decimal place. Write down the upper bound.
- 14th February 1985Make x the subject of y = 3x^2 - 10.
- 15th February 1985y is directly proportional to x. When x = 4, y = 44. Work out y when x = 13.
- 16th February 1985In triangle ABC, angle A is 34°, angle B is 39° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 17th February 19853 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th February 1985A cumulative frequency graph is drawn for 200 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 19th February 1985Write 7^-1 as a fraction.
- 20th February 1985Factorise x^2 - 64.
- 21st February 1985A town's population is 2500 and grows by 6% each year. Work out the population after 3 years, to the nearest whole number.
- 22nd February 1985A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 23rd February 198512 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th February 1985A box plot has a minimum of 6 and a maximum of 29. Work out the range.
- 25th February 1985Work out (9 x 10^5) x (8 x 10^3). Give your answer in standard form.
- 26th February 1985A region is defined by y < -3x + 7. Should the boundary line be solid or dashed, and why?
- 27th February 1985A block has volume 25 cm^3 and density 8 g/cm^3. Work out its mass.
- 28th February 1985The point (-4, -3) is enlarged by scale factor -1 about the centre (3, -3). Write down the coordinates of the image.