Daily Practice · Higher
September 1973 5-a-day
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The batch download puts all 5 tiers' September 1973 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1973
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1973A box plot has minimum 13, lower quartile 22, median 27, upper quartile 37 and maximum 40. Work out the interquartile range.
- 2nd September 1973Write the recurring decimal 0.888... as a fraction in its simplest form.
- 3rd September 1973Expand and simplify (x - 5)(x - 3)(x + 4).
- 4th September 1973x : y = 3 : 5. Write y in terms of x.
- 5th September 1973A cone has base radius 2 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 6th September 197329 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th September 1973A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 8th September 1973Work out 25^(3/2).
- 9th September 1973Make x the subject of y = 8x^2 - 11.
- 10th September 1973A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 11th September 1973In triangle ABC, angle A is 36°, angle B is 56° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 12th September 19735 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th September 1973A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 14th September 1973Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 15th September 1973Factorise x^2 - 25.
- 16th September 1973y is inversely proportional to x. When x = 6, y = 50. Work out y when x = 10.
- 17th September 1973A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 18th September 197320 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th September 1973Four classes in order have frequencies 10, 9, 12, 8. Write down the cumulative frequency at the end of the third class.
- 20th September 1973A meal deal has 5 mains, 7 sides and 2 drinks. How many different meals are possible?
- 21st September 1973A region is defined by y < -4x - 9. Should the boundary line be solid or dashed, and why?
- 22nd September 1973y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 6.
- 23rd September 1973The point (-3, -2) is enlarged by scale factor -2 about the centre (-2, 3). Write down the coordinates of the image.
- 24th September 19734 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th September 197335 voles are marked and released. Later 80 are caught, of which 8 are marked. Estimate the population.
- 26th September 1973A mass is 310 kg, correct to the nearest 10. Write down the lower bound.
- 27th September 1973Factorise x^2 + x - 12.
- 28th September 1973y is directly proportional to x. When x = 5, y = 60. Work out y when x = 9.
- 29th September 1973Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 192 cm^3. Work out the volume of the smaller.
- 30th September 197319 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.