Daily Practice · Higher
September 1992 - Higher 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1992 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1992
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1992Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 448 cm^3. Work out the volume of the smaller.
- 2nd September 199215 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd September 1992A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 4th September 1992Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 5th September 1992Work out the equation of the line parallel to y = -4x - 2 that passes through (2, -3).
- 6th September 1992y is inversely proportional to x. When x = 4, y = 48. Work out y when x = 12.
- 7th September 1992A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
- 8th September 19923 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th September 1992Four classes in order have frequencies 11, 3, 6, 4. Write down the cumulative frequency at the end of the third class.
- 10th September 1992A meal deal has 5 mains, 3 sides and 3 drinks. How many different meals are possible?
- 11th September 1992A line has equation y = -3x + 9. Work out the gradient of any line perpendicular to it.
- 12th September 1992y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 9.
- 13th September 1992ABCD is a cyclic quadrilateral. Angle ABC is 94°. Work out angle ADC.
- 14th September 199214 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th September 199225 newts are marked and released. Later 18 are caught, of which 2 are marked. Estimate the population.
- 16th September 1992A mass is 27.9 kg, correct to 1 decimal place. Write down the upper bound.
- 17th September 1992For the curve y = -120/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 18th September 1992y is directly proportional to x. When x = 9, y = 72. Work out y when x = 12.
- 19th September 1992A, B and C are points on a circle with centre O. Angle AOC is 112°. Work out angle ABC, where B is on the major arc.
- 20th September 19921 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st September 1992A cumulative frequency graph is drawn for 56 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 22nd September 1992Write 2^-2 as a fraction.
- 23rd September 1992Expand and simplify (x - 3)(x + 4)(x - 2).
- 24th September 1992A town's population is 13500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 25th September 1992A cone has base radius 4 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 26th September 199221 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th September 1992A box plot has a minimum of 20 and a maximum of 45. Work out the range.
- 28th September 1992Work out (7 x 10^6) x (7 x 10^-2). Give your answer in standard form.
- 29th September 1992Make x the subject of y = 2x^2 - 7.
- 30th September 1992A block has volume 175 cm^3 and density 2.5 g/cm^3. Work out its mass.