Daily Practice · Higher
August 1984 5-a-day
Printing for a group?
The batch download puts all 5 tiers' August 1984 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1984
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1984A block has volume 125 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 2nd August 1984A cone has base radius 10 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 3rd August 198415 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th August 1984A box plot has minimum 5, lower quartile 14, median 24, upper quartile 32 and maximum 36. Work out the interquartile range.
- 5th August 1984Write 6^-2 as a fraction.
- 6th August 1984Make x the subject of y = 9x^2 - 3.
- 7th August 1984x : y = 3 : 4. Write y in terms of x.
- 8th August 1984In triangle ABC, angle A is 32°, angle B is 45° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 9th August 19845 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th August 1984A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 11th August 1984Work out (5 x 10^4) x (5 x 10^3). Give your answer in standard form.
- 12th August 1984Factorise x^2 - 81.
- 13th August 1984A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 14th August 1984A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 15th August 19849 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th August 1984A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 17th August 1984Write the recurring decimal 0.8484... as a fraction in its simplest form.
- 18th August 1984A region is defined by y < -x + 2. Should the boundary line be solid or dashed, and why?
- 19th August 1984y is inversely proportional to x. When x = 5, y = 6. Work out y when x = 6.
- 20th August 1984The point (4, -3) is enlarged by scale factor -1 about the centre (3, 1). Write down the coordinates of the image.
- 21st August 19841 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd August 1984Four classes in order have frequencies 7, 11, 12, 3. Write down the cumulative frequency at the end of the third class.
- 23rd August 1984A bill is £960 including VAT at 20%. Work out the amount before VAT.
- 24th August 1984Factorise x^2 + 11x + 30.
- 25th August 1984y is directly proportional to x^2. When x = 6, y = 72. Work out y when x = 4.
- 26th August 1984Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 288 cm^3. Work out the volume of the smaller.
- 27th August 198424 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th August 198455 fish are marked and released. Later 15 are caught, of which 5 are marked. Estimate the population.
- 29th August 1984A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 30th August 1984Work out the equation of the line parallel to y = -2x + 9 that passes through (2, 8).
- 31st August 1984y is directly proportional to x. When x = 3, y = 30. Work out y when x = 14.