Daily Practice · Higher
September 1954 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1954 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1954
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1954A region is defined by y <= -5x - 8. Should the boundary line be solid or dashed, and why?
- 2nd September 1954A town's population is 18000 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 3rd September 1954The point (2, -4) is enlarged by scale factor -1 about the centre (-1, -4). Write down the coordinates of the image.
- 4th September 19542 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th September 1954A box plot has a minimum of 4 and a maximum of 22. Work out the range.
- 6th September 1954Work out (45 x 10^8) / (9 x 10^3). Give your answer in standard form.
- 7th September 1954Factorise x^2 - 4x + 4.
- 8th September 1954A block has volume 95 cm^3 and density 8 g/cm^3. Work out its mass.
- 9th September 1954Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1664 cm^3. Work out the volume of the smaller.
- 10th September 195421 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th September 1954A box plot has minimum 13, lower quartile 19, median 27, upper quartile 31 and maximum 40. Work out the interquartile range.
- 12th September 1954Write the recurring decimal 0.111... as a fraction in its simplest form.
- 13th September 1954Work out the equation of the line parallel to y = 4x - 8 that passes through (1, -5).
- 14th September 1954x : y = 3 : 8. Write y in terms of x.
- 15th September 1954A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 16th September 19544 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th September 1954A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 18th September 1954Work out 125^(2/3).
- 19th September 1954A line has equation y = 5x + 4. Work out the gradient of any line perpendicular to it.
- 20th September 1954A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 21st September 1954ABCD is a cyclic quadrilateral. Angle ABC is 103°. Work out angle ADC.
- 22nd September 195412 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd September 1954A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.
- 24th September 1954Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 25th September 1954For the curve y = -50/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 26th September 1954y is inversely proportional to x. When x = 7, y = 9. Work out y when x = 3.
- 27th September 1954A, B and C are points on a circle with centre O. Angle AOC is 66°. Work out angle ABC, where B is on the major arc.
- 28th September 19541 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th September 1954Four classes in order have frequencies 11, 5, 12, 6. Write down the cumulative frequency at the end of the third class.
- 30th September 1954A meal deal has 8 mains, 5 sides and 2 drinks. How many different meals are possible?