Daily Practice · Higher
September 1972 5-a-day
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The batch download puts all 5 tiers' September 1972 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1972
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1972Write 5^-1 as a fraction.
- 2nd September 1972A region is defined by y <= 4x + 9. Should the boundary line be solid or dashed, and why?
- 3rd September 1972y is inversely proportional to x. When x = 6, y = 24. Work out y when x = 4.
- 4th September 1972The point (3, -5) is enlarged by scale factor -2 about the centre (-2, -4). Write down the coordinates of the image.
- 5th September 19726 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th September 1972Four classes in order have frequencies 7, 11, 4, 3. Write down the cumulative frequency at the end of the third class.
- 7th September 1972Work out (7 x 10^7) x (7 x 10^-4). Give your answer in standard form.
- 8th September 1972Factorise x^2 + 11x + 30.
- 9th September 1972y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 6.
- 10th September 1972Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 351 cm^3. Work out the volume of the smaller.
- 11th September 197217 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th September 197240 newts are marked and released. Later 21 are caught, of which 3 are marked. Estimate the population.
- 13th September 1972Write the recurring decimal 0.4343... as a fraction in its simplest form.
- 14th September 1972Work out the equation of the line parallel to y = 5x - 3 that passes through (1, 11).
- 15th September 1972y is directly proportional to x. When x = 6, y = 54. Work out y when x = 14.
- 16th September 1972A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
- 17th September 19722 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th September 1972A cumulative frequency graph is drawn for 56 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 19th September 1972A bill is £792 including VAT at 20%. Work out the amount before VAT.
- 20th September 1972A line has equation y = 5x + 7. Work out the gradient of any line perpendicular to it.
- 21st September 1972A town's population is 4500 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 22nd September 1972ABCD is a cyclic quadrilateral. Angle ABC is 118°. Work out angle ADC.
- 23rd September 197220 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th September 1972A box plot has a minimum of 3 and a maximum of 31. Work out the range.
- 25th September 1972A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 26th September 1972For the curve y = -8/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 27th September 1972A block has volume 55 cm^3 and density 8 g/cm^3. Work out its mass.
- 28th September 1972A, B and C are points on a circle with centre O. Angle AOC is 96°. Work out angle ABC, where B is on the major arc.
- 29th September 19723 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th September 1972A box plot has minimum 2, lower quartile 6, median 15, upper quartile 17 and maximum 24. Work out the interquartile range.