Daily Practice · Higher
February 1992 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' February 1992 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 1992
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1992Work out (30 x 10^12) / (6 x 10^4). Give your answer in standard form.
- 2nd February 1992Make x the subject of y = 6x^2 - 4.
- 3rd February 1992A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 4th February 1992In triangle ABC, angle A is 36°, angle B is 71° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 5th February 19925 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th February 1992A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 7th February 1992Write the recurring decimal 0.888... as a fraction in its simplest form.
- 8th February 1992Factorise x^2 - 49.
- 9th February 1992y is inversely proportional to x. When x = 8, y = 12. Work out y when x = 3.
- 10th February 1992A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 11th February 199210 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th February 1992Four classes in order have frequencies 6, 10, 6, 11. Write down the cumulative frequency at the end of the third class.
- 13th February 1992Work out 27^(2/3).
- 14th February 1992A region is defined by y <= 2x - 9. Should the boundary line be solid or dashed, and why?
- 15th February 1992y is directly proportional to x^2. When x = 4, y = 96. Work out y when x = 8.
- 16th February 1992The point (5, -1) is enlarged by scale factor -3 about the centre (-3, 1). Write down the coordinates of the image.
- 17th February 19922 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th February 199255 newts are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
- 19th February 1992Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 20th February 1992Factorise x^2 + x - 6.
- 21st February 1992y is directly proportional to x. When x = 3, y = 9. Work out y when x = 12.
- 22nd February 1992Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 576 cm^3. Work out the volume of the smaller.
- 23rd February 199219 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th February 1992A cumulative frequency graph is drawn for 228 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th February 1992A meal deal has 9 mains, 7 sides and 2 drinks. How many different meals are possible?
- 26th February 1992Work out the equation of the line parallel to y = 5x + 5 that passes through (4, 13).
- 27th February 1992A town's population is 16500 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 28th February 1992A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
- 29th February 19922 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.