Daily Practice · Higher
July 1985 5-a-day
Printing for a group?
The batch download puts all 5 tiers' July 1985 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1985
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1985Write 5^-2 as a fraction.
- 2nd July 1985Expand and simplify (x - 3)(x - 1)(x + 2).
- 3rd July 1985A block has volume 125 cm^3 and density 8 g/cm^3. Work out its mass.
- 4th July 1985A cone has base radius 6 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 5th July 198515 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th July 1985A box plot has minimum 6, lower quartile 14, median 19, upper quartile 21 and maximum 25. Work out the interquartile range.
- 7th July 1985Work out (7 x 10^8) x (7 x 10^5). Give your answer in standard form.
- 8th July 1985Make x the subject of y = 7x^2 - 5.
- 9th July 1985x : y = 2 : 5. Write y in terms of x.
- 10th July 1985In triangle ABC, angle A is 39°, angle B is 73° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 11th July 19853 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th July 1985A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 13th July 1985Write the recurring decimal 0.9595... as a fraction in its simplest form.
- 14th July 1985Factorise x^2 - 81.
- 15th July 1985A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 16th July 1985A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 17th July 198518 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th July 1985A histogram class is 2 units wide and contains 5 values. Work out the frequency density.
- 19th July 1985A bill is £168 including VAT at 20%. Work out the amount before VAT.
- 20th July 1985A region is defined by y < 3x - 1. Should the boundary line be solid or dashed, and why?
- 21st July 1985y is inversely proportional to x. When x = 9, y = 24. Work out y when x = 4.
- 22nd July 1985The point (-6, 4) is enlarged by scale factor -3 about the centre (-4, 1). Write down the coordinates of the image.
- 23rd July 19853 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th July 1985Four classes in order have frequencies 10, 5, 9, 5. Write down the cumulative frequency at the end of the third class.
- 25th July 1985A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 26th July 1985Factorise x^2 + 10x + 16.
- 27th July 1985y is directly proportional to x^2. When x = 5, y = 150. Work out y when x = 9.
- 28th July 1985Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 152 cm^3. Work out the volume of the smaller.
- 29th July 198522 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th July 198555 fish are marked and released. Later 28 are caught, of which 4 are marked. Estimate the population.
- 31st July 1985Work out (32 x 10^8) / (8 x 10^2). Give your answer in standard form.