Daily Practice · Higher
August 1961 5-a-day
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The batch download puts all 5 tiers' August 1961 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1961
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1961Expand and simplify (x - 5)(x + 1)(x - 4).
- 2nd August 1961A block has volume 45 cm^3 and density 8 g/cm^3. Work out its mass.
- 3rd August 1961A cone has base radius 7 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 4th August 196126 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th August 1961A box plot has minimum 3, lower quartile 11, median 18, upper quartile 23 and maximum 29. Work out the interquartile range.
- 6th August 1961Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
- 7th August 1961Make x the subject of y = 5x^2 - 6.
- 8th August 1961x : y = 2 : 5. Write y in terms of x.
- 9th August 1961In triangle ABC, angle A is 63°, angle B is 32° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 10th August 19611 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th August 1961A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 12th August 1961A meal deal has 3 mains, 7 sides and 3 drinks. How many different meals are possible?
- 13th August 1961Factorise x^2 - 4.
- 14th August 1961A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 15th August 1961A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 16th August 196118 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th August 1961A histogram class is 20 units wide and contains 40 values. Work out the frequency density.
- 18th August 1961A mass is 19.8 kg, correct to 1 decimal place. Write down the upper bound.
- 19th August 1961A region is defined by y <= -3x + 4. Should the boundary line be solid or dashed, and why?
- 20th August 1961y is inversely proportional to x. When x = 9, y = 5. Work out y when x = 5.
- 21st August 1961The point (3, 0) is enlarged by scale factor -2 about the centre (3, -4). Write down the coordinates of the image.
- 22nd August 19613 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd August 1961Four classes in order have frequencies 3, 7, 5, 9. Write down the cumulative frequency at the end of the third class.
- 24th August 1961Write 5^-1 as a fraction.
- 25th August 1961Factorise x^2 - 81.
- 26th August 1961y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 2.
- 27th August 1961Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 135 cm^3. Work out the volume of the smaller.
- 28th August 196118 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th August 196150 voles are marked and released. Later 8 are caught, of which 2 are marked. Estimate the population.
- 30th August 1961Work out (9 x 10^6) x (6 x 10^-6). Give your answer in standard form.
- 31st August 1961Work out the equation of the line parallel to y = -5x - 2 that passes through (2, -8).