Daily Practice · Higher
September 1974 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1974 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1974
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 197412 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd September 1974A cumulative frequency graph is drawn for 188 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3rd September 1974Work out (6 x 10^4) x (6 x 10^5). Give your answer in standard form.
- 4th September 1974Work out the equation of the line parallel to y = 5x + 5 that passes through (2, 13).
- 5th September 1974A town's population is 23500 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 6th September 1974A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 7th September 19741 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th September 1974A box plot has a minimum of 7 and a maximum of 33. Work out the range.
- 9th September 1974Write the recurring decimal 0.7878... as a fraction in its simplest form.
- 10th September 1974A line has equation y = -5x + 7. Work out the gradient of any line perpendicular to it.
- 11th September 1974A block has volume 50 cm^3 and density 3 g/cm^3. Work out its mass.
- 12th September 1974ABCD is a cyclic quadrilateral. Angle ABC is 89°. Work out angle ADC.
- 13th September 197422 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th September 1974A box plot has minimum 9, lower quartile 16, median 18, upper quartile 24 and maximum 31. Work out the interquartile range.
- 15th September 1974A bill is £864 including VAT at 20%. Work out the amount before VAT.
- 16th September 1974For the curve y = 120/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 17th September 1974x : y = 3 : 4. Write y in terms of x.
- 18th September 1974A, B and C are points on a circle with centre O. Angle AOC is 64°. Work out angle ABC, where B is on the major arc.
- 19th September 19742 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th September 1974A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 21st September 1974A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 22nd September 1974Expand and simplify (x - 2)(x - 4)(x - 2).
- 23rd September 1974A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 24th September 1974A cone has base radius 9 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 25th September 197423 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th September 1974A histogram class is 2 units wide and contains 1 values. Work out the frequency density.
- 27th September 1974Work out (14 x 10^8) / (2 x 10^2). Give your answer in standard form.
- 28th September 1974Make x the subject of y = 9x^2 - 12.
- 29th September 1974y is inversely proportional to x. When x = 5, y = 3. Work out y when x = 3.
- 30th September 1974In triangle ABC, angle A is 59°, angle B is 62° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.