Daily Practice · Higher
May 1983 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1983 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1983
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1983Write 3^-3 as a fraction.
- 2nd May 1983Factorise x^2 - 5x - 6.
- 3rd May 1983x : y = 2 : 7. Write y in terms of x.
- 4th May 1983Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 54 cm^3. Work out the volume of the smaller.
- 5th May 198316 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th May 1983A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 7th May 1983Work out (4 x 10^7) x (4 x 10^3). Give your answer in standard form.
- 8th May 1983Work out the equation of the line parallel to y = 5x + 7 that passes through (2, 3).
- 9th May 1983A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 10th May 1983A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 11th May 19837 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th May 1983A histogram class is 5 units wide and contains 7.5 values. Work out the frequency density.
- 13th May 1983Write the recurring decimal 0.5656... as a fraction in its simplest form.
- 14th May 1983A line has equation y = -5x + 3. Work out the gradient of any line perpendicular to it.
- 15th May 1983y is inversely proportional to x. When x = 9, y = 12. Work out y when x = 4.
- 16th May 1983ABCD is a cyclic quadrilateral. Angle ABC is 119°. Work out angle ADC.
- 17th May 198316 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th May 1983Four classes in order have frequencies 8, 4, 11, 8. Write down the cumulative frequency at the end of the third class.
- 19th May 1983A bill is £552 including VAT at 20%. Work out the amount before VAT.
- 20th May 1983For the curve y = 8/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 21st May 1983y is directly proportional to x^2. When x = 5, y = 125. Work out y when x = 8.
- 22nd May 1983A, B and C are points on a circle with centre O. Angle AOC is 118°. Work out angle ABC, where B is on the major arc.
- 23rd May 19835 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th May 198330 voles are marked and released. Later 72 are caught, of which 8 are marked. Estimate the population.
- 25th May 1983A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 26th May 1983Expand and simplify (x + 2)(x + 1)(x + 4).
- 27th May 1983y is directly proportional to x. When x = 5, y = 50. Work out y when x = 3.
- 28th May 1983A cone has base radius 2 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 29th May 198317 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th May 1983A cumulative frequency graph is drawn for 144 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 31st May 1983Work out (8 x 10^6) / (4 x 10^4). Give your answer in standard form.