Daily Practice · Higher
March 1988 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1988 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1988
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1988x : y = 2 : 3. Write y in terms of x.
- 2nd March 1988A 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.
- 3rd March 198829 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th March 1988A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 5th March 1988A meal deal has 4 mains, 8 sides and 3 drinks. How many different meals are possible?
- 6th March 1988A region is defined by y <= 5x - 8. Should the boundary line be solid or dashed, and why?
- 7th March 1988A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 8th March 1988The point (1, 2) is enlarged by scale factor -1 about the centre (2, 0). Write down the coordinates of the image.
- 9th March 19883 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th March 1988A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 11th March 1988A mass is 53 kg, correct to the nearest whole number. Write down the lower bound.
- 12th March 1988Factorise x^2 + 4x + 3.
- 13th March 1988y is inversely proportional to x. When x = 7, y = 24. Work out y when x = 12.
- 14th March 1988Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1664 cm^3. Work out the volume of the smaller.
- 15th March 198822 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th March 1988Four classes in order have frequencies 9, 4, 4, 5. Write down the cumulative frequency at the end of the third class.
- 17th March 1988Write 7^-3 as a fraction.
- 18th March 1988Work out the equation of the line parallel to y = -3x + 8 that passes through (6, -17).
- 19th March 1988y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 7.
- 20th March 1988A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
- 21st March 19884 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd March 198830 beetles are marked and released. Later 30 are caught, of which 5 are marked. Estimate the population.
- 23rd March 1988Work out (8 x 10^6) x (4 x 10^-3). Give your answer in standard form.
- 24th March 1988A line has equation y = -4x + 5. Work out the gradient of any line perpendicular to it.
- 25th March 1988y is directly proportional to x. When x = 7, y = 77. Work out y when x = 15.
- 26th March 1988ABCD is a cyclic quadrilateral. Angle ABC is 104°. Work out angle ADC.
- 27th March 19889 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th March 1988A cumulative frequency graph is drawn for 132 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 29th March 1988Write the recurring decimal 0.1515... as a fraction in its simplest form.
- 30th March 1988For the curve y = -110/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 31st March 1988A town's population is 4000 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.