Daily Practice · Higher
August 1991 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' August 1991 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1991
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1991A town's population is 6500 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 2nd August 1991A 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 August 199113 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th August 1991A box plot has a minimum of 4 and a maximum of 63. Work out the range.
- 5th August 1991Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 6th August 1991A region is defined by y <= 3x - 1. Should the boundary line be solid or dashed, and why?
- 7th August 1991A block has volume 10 cm^3 and density 3 g/cm^3. Work out its mass.
- 8th August 1991The point (-5, 1) is enlarged by scale factor -2 about the centre (-2, 2). Write down the coordinates of the image.
- 9th August 19917 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th August 1991A box plot has minimum 5, lower quartile 10, median 19, upper quartile 27 and maximum 30. Work out the interquartile range.
- 11th August 1991A meal deal has 6 mains, 7 sides and 6 drinks. How many different meals are possible?
- 12th August 1991Factorise x^2 + 9x + 20.
- 13th August 1991x : y = 2 : 7. Write y in terms of x.
- 14th August 1991Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1472 cm^3. Work out the volume of the smaller.
- 15th August 199128 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th August 1991A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 17th August 1991A mass is 65 kg, correct to the nearest whole number. Write down the lower bound.
- 18th August 1991Work out the equation of the line parallel to y = -2x + 8 that passes through (5, -5).
- 19th August 1991A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 20th August 1991A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
- 21st August 19912 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd August 1991A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 23rd August 1991Write 2^-2 as a fraction.
- 24th August 1991A line has equation y = -5x + 7. Work out the gradient of any line perpendicular to it.
- 25th August 1991y is inversely proportional to x. When x = 3, y = 8. Work out y when x = 2.
- 26th August 1991ABCD is a cyclic quadrilateral. Angle ABC is 109°. Work out angle ADC.
- 27th August 199126 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th August 1991Four classes in order have frequencies 3, 11, 9, 9. Write down the cumulative frequency at the end of the third class.
- 29th August 1991Work out (4 x 10^3) x (7 x 10^-6). Give your answer in standard form.
- 30th August 1991For the curve y = 110/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 31st August 1991y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 6.