Daily Practice · Higher
September 1982 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1982 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1982
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 19822 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd September 1982A histogram class is 10 units wide and contains 15 values. Work out the frequency density.
- 3rd September 1982A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 4th September 1982Factorise x^2 - 6x - 16.
- 5th September 1982y is inversely proportional to x. When x = 5, y = 12. Work out y when x = 6.
- 6th September 1982Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 945 cm^3. Work out the volume of the smaller.
- 7th September 198222 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th September 1982Four classes in order have frequencies 8, 3, 8, 6. Write down the cumulative frequency at the end of the third class.
- 9th September 1982Work out (28 x 10^9) / (4 x 10^3). Give your answer in standard form.
- 10th September 1982Work out the equation of the line parallel to y = 5x - 2 that passes through (4, 23).
- 11th September 1982y is directly proportional to x^2. When x = 5, y = 150. Work out y when x = 8.
- 12th September 1982A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 13th September 19821 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th September 198235 fish are marked and released. Later 25 are caught, of which 5 are marked. Estimate the population.
- 15th September 1982Write the recurring decimal 0.666... as a fraction in its simplest form.
- 16th September 1982A line has equation y = 4x + 9. Work out the gradient of any line perpendicular to it.
- 17th September 1982y is directly proportional to x. When x = 3, y = 36. Work out y when x = 10.
- 18th September 1982ABCD is a cyclic quadrilateral. Angle ABC is 91°. Work out angle ADC.
- 19th September 19828 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th September 1982A cumulative frequency graph is drawn for 204 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st September 1982Work out 125^(2/3).
- 22nd September 1982For the curve y = 12/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 23rd September 1982A town's population is 3500 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 24th September 1982A, B and C are points on a circle with centre O. Angle AOC is 148°. Work out angle ABC, where B is on the major arc.
- 25th September 19825 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th September 1982A box plot has a minimum of 9 and a maximum of 23. Work out the range.
- 27th September 1982Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 28th September 1982Expand and simplify (x - 3)(x + 4)(x - 2).
- 29th September 1982A block has volume 140 cm^3 and density 11 g/cm^3. Work out its mass.
- 30th September 1982A cone has base radius 9 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.