Daily Practice · Higher
May 1978 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1978 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1978
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 19783 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd May 197825 voles are marked and released. Later 54 are caught, of which 9 are marked. Estimate the population.
- 3rd May 1978A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 4th May 1978Factorise x^2 - 13x + 36.
- 5th May 1978y is directly proportional to x. When x = 3, y = 12. Work out y when x = 13.
- 6th May 1978Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1152 cm^3. Work out the volume of the smaller.
- 7th May 197815 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th May 1978A cumulative frequency graph is drawn for 124 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 9th May 1978Work out (63 x 10^8) / (7 x 10^5). Give your answer in standard form.
- 10th May 1978Work out the equation of the line parallel to y = -x + 1 that passes through (4, -10).
- 11th May 1978A town's population is 14000 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 12th May 1978A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 13th May 19782 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th May 1978A box plot has a minimum of 10 and a maximum of 31. Work out the range.
- 15th May 1978Write the recurring decimal 0.111... as a fraction in its simplest form.
- 16th May 1978A line has equation y = -5x + 7. Work out the gradient of any line perpendicular to it.
- 17th May 1978A block has volume 15 cm^3 and density 4 g/cm^3. Work out its mass.
- 18th May 1978ABCD is a cyclic quadrilateral. Angle ABC is 119°. Work out angle ADC.
- 19th May 197822 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th May 1978A box plot has minimum 6, lower quartile 8, median 17, upper quartile 23 and maximum 27. Work out the interquartile range.
- 21st May 1978Work out 49^(3/2).
- 22nd May 1978For the curve y = 100/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 23rd May 1978x : y = 3 : 4. Write y in terms of x.
- 24th May 1978A, B and C are points on a circle with centre O. Angle AOC is 92°. Work out angle ABC, where B is on the major arc.
- 25th May 19781 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th May 1978A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 27th May 1978Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 28th May 1978Expand and simplify (x - 2)(x + 4)(x - 2).
- 29th May 1978A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 30th May 1978A cone has base radius 3 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 31st May 197825 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.