Daily Practice · Higher
July 1978 5-a-day
Printing for a group?
The batch download puts all 5 tiers' July 1978 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1978
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1978A box plot has minimum 7, lower quartile 10, median 17, upper quartile 24 and maximum 31. Work out the interquartile range.
- 2nd July 1978A bill is £672 including VAT at 20%. Work out the amount before VAT.
- 3rd July 1978A line has equation y = -3x + 2. Work out the gradient of any line perpendicular to it.
- 4th July 1978x : y = 3 : 8. Write y in terms of x.
- 5th July 1978ABCD is a cyclic quadrilateral. Angle ABC is 58°. Work out angle ADC.
- 6th July 197820 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th July 1978A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 8th July 1978A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 9th July 1978For the curve y = 8/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 10th July 1978A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 11th July 1978A, B and C are points on a circle with centre O. Angle AOC is 68°. Work out angle ABC, where B is on the major arc.
- 12th July 19782 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th July 1978A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 14th July 1978Work out (14 x 10^10) / (7 x 10^2). Give your answer in standard form.
- 15th July 1978Expand and simplify (x - 3)(x - 4)(x - 5).
- 16th July 1978y is inversely proportional to x. When x = 5, y = 12. Work out y when x = 2.
- 17th July 1978A cone has base radius 10 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 18th July 19789 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th July 1978Four classes in order have frequencies 10, 10, 8, 10. Write down the cumulative frequency at the end of the third class.
- 20th July 1978Write the recurring decimal 0.111... as a fraction in its simplest form.
- 21st July 1978Make x the subject of y = 4x^2 - 12.
- 22nd July 1978y is directly proportional to x^2. When x = 3, y = 72. Work out y when x = 7.
- 23rd July 1978In triangle ABC, angle A is 40°, angle B is 104° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 24th July 19782 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th July 197810 fish are marked and released. Later 42 are caught, of which 6 are marked. Estimate the population.
- 26th July 1978Work out 16^(3/2).
- 27th July 1978Factorise x^2 - 121.
- 28th July 1978y is directly proportional to x. When x = 4, y = 28. Work out y when x = 8.
- 29th July 1978A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 30th July 197813 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st July 1978A cumulative frequency graph is drawn for 128 values. What cumulative frequency do you read across from to estimate the lower quartile?