Daily Practice · Higher
August 1974 5-a-day
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The batch download puts all 5 tiers' August 1974 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1974
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1974A, B and C are points on a circle with centre O. Angle AOC is 60°. Work out angle ABC, where B is on the major arc.
- 2nd August 19742 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd August 1974A box plot has minimum 13, lower quartile 23, median 27, upper quartile 29 and maximum 34. Work out the interquartile range.
- 4th August 1974Work out 8^(2/3).
- 5th August 1974Expand and simplify (x - 5)(x + 4)(x + 3).
- 6th August 1974x : y = 3 : 5. Write y in terms of x.
- 7th August 1974A cone has base radius 4 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 8th August 197415 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th August 1974A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 10th August 1974Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 11th August 1974Make x the subject of y = 3x^2 - 8.
- 12th August 1974A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 13th August 1974In triangle ABC, angle A is 42°, angle B is 37° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 14th August 19742 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th August 1974A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 16th August 1974A meal deal has 6 mains, 5 sides and 3 drinks. How many different meals are possible?
- 17th August 1974Factorise x^2 - 64.
- 18th August 1974y is inversely proportional to x. When x = 4, y = 15. Work out y when x = 3.
- 19th August 1974A 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.
- 20th August 197425 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st August 1974Four classes in order have frequencies 8, 6, 5, 11. Write down the cumulative frequency at the end of the third class.
- 22nd August 1974A mass is 4.1 kg, correct to 1 decimal place. Write down the lower bound.
- 23rd August 1974A region is defined by y <= -x - 3. Should the boundary line be solid or dashed, and why?
- 24th August 1974y is directly proportional to x^2. When x = 5, y = 200. Work out y when x = 8.
- 25th August 1974The point (6, 2) is enlarged by scale factor -1 about the centre (1, 2). Write down the coordinates of the image.
- 26th August 19743 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th August 197415 fish are marked and released. Later 27 are caught, of which 3 are marked. Estimate the population.
- 28th August 1974Write 4^-1 as a fraction.
- 29th August 1974Factorise x^2 + 4x + 3.
- 30th August 1974y is directly proportional to x. When x = 8, y = 56. Work out y when x = 2.
- 31st August 1974Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 999 cm^3. Work out the volume of the smaller.