Daily Practice · Higher
January 1986 5-a-day
Printing for a group?
The batch download puts all 5 tiers' January 1986 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1986
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 198613 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd January 1986A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 3rd January 1986A meal deal has 7 mains, 3 sides and 3 drinks. How many different meals are possible?
- 4th January 1986For the curve y = -24/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 5th January 1986y is inversely proportional to x. When x = 4, y = 72. Work out y when x = 12.
- 6th January 1986A, B and C are points on a circle with centre O. Angle AOC is 134°. Work out angle ABC, where B is on the major arc.
- 7th January 19864 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th January 1986Four classes in order have frequencies 11, 3, 3, 5. Write down the cumulative frequency at the end of the third class.
- 9th January 1986A mass is 25.3 kg, correct to 1 decimal place. Write down the lower bound.
- 10th January 1986Expand and simplify (x + 5)(x - 3)(x + 2).
- 11th January 1986y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 7.
- 12th January 1986A cone has base radius 6 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 13th January 198622 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th January 198640 newts are marked and released. Later 30 are caught, of which 5 are marked. Estimate the population.
- 15th January 1986Write 9^-3 as a fraction.
- 16th January 1986Make x the subject of y = 2x^2 - 6.
- 17th January 1986y is directly proportional to x. When x = 4, y = 16. Work out y when x = 10.
- 18th January 1986In triangle ABC, angle A is 69°, angle B is 60° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 19th January 19863 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th January 1986A cumulative frequency graph is drawn for 208 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st January 1986Work out (7 x 10^4) x (9 x 10^4). Give your answer in standard form.
- 22nd January 1986Factorise x^2 - 100.
- 23rd January 1986A town's population is 2000 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
- 24th January 1986A 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.
- 25th January 19867 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th January 1986A box plot has a minimum of 13 and a maximum of 47. Work out the range.
- 27th January 1986Write the recurring decimal 0.2828... as a fraction in its simplest form.
- 28th January 1986A region is defined by y < 4x - 8. Should the boundary line be solid or dashed, and why?
- 29th January 1986A block has volume 150 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 30th January 1986The point (4, -5) is enlarged by scale factor -2 about the centre (4, 0). Write down the coordinates of the image.
- 31st January 19861 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.