Daily Practice · Higher
May 1991 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1991 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1991
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1991A bill is £336 including VAT at 20%. Work out the amount before VAT.
- 2nd May 1991A region is defined by y < x + 1. Should the boundary line be solid or dashed, and why?
- 3rd May 1991y is directly proportional to x. When x = 2, y = 22. Work out y when x = 11.
- 4th May 1991The point (0, 1) is enlarged by scale factor -2 about the centre (1, 3). Write down the coordinates of the image.
- 5th May 19916 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th May 1991A cumulative frequency graph is drawn for 212 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th May 1991A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 8th May 1991Factorise x^2 - 7x + 6.
- 9th May 1991A town's population is 3500 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
- 10th May 1991Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 192 cm^3. Work out the volume of the smaller.
- 11th May 199124 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th May 1991A box plot has a minimum of 16 and a maximum of 48. Work out the range.
- 13th May 1991Work out (45 x 10^11) / (9 x 10^3). Give your answer in standard form.
- 14th May 1991Work out the equation of the line parallel to y = x + 2 that passes through (4, 5).
- 15th May 1991A block has volume 85 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 16th May 1991A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 17th May 19913 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th May 1991A box plot has minimum 12, lower quartile 17, median 24, upper quartile 27 and maximum 32. Work out the interquartile range.
- 19th May 1991Write the recurring decimal 0.555... as a fraction in its simplest form.
- 20th May 1991A line has equation y = -3x + 1. Work out the gradient of any line perpendicular to it.
- 21st May 1991x : y = 5 : 8. Write y in terms of x.
- 22nd May 1991ABCD is a cyclic quadrilateral. Angle ABC is 110°. Work out angle ADC.
- 23rd May 199117 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th May 1991A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 25th May 1991Work out 27^(2/3).
- 26th May 1991For the curve y = -110/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 27th May 1991A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 28th May 1991A, B and C are points on a circle with centre O. Angle AOC is 94°. Work out angle ABC, where B is on the major arc.
- 29th May 19913 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th May 1991A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 31st May 1991Write sqrt(98) in the form a sqrt(b), where b is as small as possible.