Daily Practice · Higher
August 1973 5-a-day
Printing for a group?
The batch download puts all 5 tiers' August 1973 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1973
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 197323 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd August 1973A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 3rd August 1973Work out (2 x 10^8) x (4 x 10^4). Give your answer in standard form.
- 4th August 1973A region is defined by y < 2x + 5. Should the boundary line be solid or dashed, and why?
- 5th August 1973y is inversely proportional to x. When x = 3, y = 4. Work out y when x = 4.
- 6th August 1973The point (-5, -2) is enlarged by scale factor -1 about the centre (1, -3). Write down the coordinates of the image.
- 7th August 19736 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th August 1973Four classes in order have frequencies 11, 12, 11, 10. Write down the cumulative frequency at the end of the third class.
- 9th August 1973Write the recurring decimal 0.8686... as a fraction in its simplest form.
- 10th August 1973Factorise x^2 - 12x + 35.
- 11th August 1973y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 8.
- 12th August 1973Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 576 cm^3. Work out the volume of the smaller.
- 13th August 197313 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th August 197320 newts are marked and released. Later 6 are caught, of which 2 are marked. Estimate the population.
- 15th August 1973A bill is £408 including VAT at 20%. Work out the amount before VAT.
- 16th August 1973Work out the equation of the line parallel to y = 4x - 6 that passes through (6, 13).
- 17th August 1973y is directly proportional to x. When x = 7, y = 14. Work out y when x = 4.
- 18th August 1973A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 19th August 19734 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th August 1973A cumulative frequency graph is drawn for 48 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st August 1973A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 22nd August 1973A line has equation y = 4x + 4. Work out the gradient of any line perpendicular to it.
- 23rd August 1973A town's population is 9500 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 24th August 1973ABCD is a cyclic quadrilateral. Angle ABC is 81°. Work out angle ADC.
- 25th August 197313 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th August 1973A box plot has a minimum of 19 and a maximum of 45. Work out the range.
- 27th August 1973Work out (15 x 10^9) / (3 x 10^5). Give your answer in standard form.
- 28th August 1973For the curve y = 32/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 29th August 1973A block has volume 45 cm^3 and density 8 g/cm^3. Work out its mass.
- 30th August 1973A, 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.
- 31st August 19734 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.