Daily Practice · Higher
May 1986 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1986 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1986
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 198616 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd May 1986A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 3rd May 1986Work out 25^(3/2).
- 4th May 1986A region is defined by y <= -x + 6. Should the boundary line be solid or dashed, and why?
- 5th May 1986A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 6th May 1986The point (-5, 2) is enlarged by scale factor -1 about the centre (-2, 0). Write down the coordinates of the image.
- 7th May 19865 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th May 1986A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 9th May 1986Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 10th May 1986Factorise x^2 - 3x + 2.
- 11th May 1986y is inversely proportional to x. When x = 6, y = 2. Work out y when x = 2.
- 12th May 1986Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 200 cm^3. Work out the volume of the smaller.
- 13th May 198631 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th May 1986Four classes in order have frequencies 3, 8, 10, 5. Write down the cumulative frequency at the end of the third class.
- 15th May 1986A meal deal has 4 mains, 6 sides and 4 drinks. How many different meals are possible?
- 16th May 1986Work out the equation of the line parallel to y = 4x + 1 that passes through (1, 2).
- 17th May 1986y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 7.
- 18th May 1986A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 19th May 19863 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th May 198615 newts are marked and released. Later 35 are caught, of which 7 are marked. Estimate the population.
- 21st May 1986A mass is 8.7 kg, correct to 1 decimal place. Write down the lower bound.
- 22nd May 1986A line has equation y = 4x + 4. Work out the gradient of any line perpendicular to it.
- 23rd May 1986y is directly proportional to x. When x = 9, y = 36. Work out y when x = 7.
- 24th May 1986ABCD is a cyclic quadrilateral. Angle ABC is 75°. Work out angle ADC.
- 25th May 198618 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th May 1986A cumulative frequency graph is drawn for 108 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 27th May 1986Write 5^-2 as a fraction.
- 28th May 1986For the curve y = 35/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 29th May 1986A town's population is 7000 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
- 30th May 1986A, B and C are points on a circle with centre O. Angle AOC is 56°. Work out angle ABC, where B is on the major arc.
- 31st May 19864 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.