Daily Practice · Higher
September 1978 5-a-day
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The batch download puts all 5 tiers' September 1978 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1978
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1978Expand and simplify (x + 5)(x - 3)(x + 3).
- 2nd September 1978y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 6.
- 3rd September 1978A cone has base radius 5 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 4th September 197816 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th September 197825 beetles are marked and released. Later 30 are caught, of which 6 are marked. Estimate the population.
- 6th September 1978A bill is £192 including VAT at 20%. Work out the amount before VAT.
- 7th September 1978Make x the subject of y = 5x^2 - 8.
- 8th September 1978y is directly proportional to x. When x = 7, y = 63. Work out y when x = 8.
- 9th September 1978In triangle ABC, angle A is 55°, angle B is 94° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 10th September 19783 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th September 1978A cumulative frequency graph is drawn for 212 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th September 1978A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 13th September 1978Factorise x^2 - 9.
- 14th September 1978A town's population is 30500 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
- 15th September 1978A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 16th September 197823 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th September 1978A box plot has a minimum of 5 and a maximum of 31. Work out the range.
- 18th September 1978Work out (18 x 10^6) / (9 x 10^5). Give your answer in standard form.
- 19th September 1978A region is defined by y <= -3x - 4. Should the boundary line be solid or dashed, and why?
- 20th September 1978A block has volume 30 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 21st September 1978The point (-3, 4) is enlarged by scale factor -3 about the centre (2, -4). Write down the coordinates of the image.
- 22nd September 19785 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd September 1978A box plot has minimum 12, lower quartile 14, median 20, upper quartile 29 and maximum 31. Work out the interquartile range.
- 24th September 1978Write the recurring decimal 0.222... as a fraction in its simplest form.
- 25th September 1978Factorise x^2 - 9.
- 26th September 1978x : y = 4 : 7. Write y in terms of x.
- 27th September 1978Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 896 cm^3. Work out the volume of the smaller.
- 28th September 197821 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th September 1978A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 30th September 1978Work out 216^(2/3).