Daily Practice · Higher
July 1962 5-a-day
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The batch download puts all 5 tiers' July 1962 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1962
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1962A box plot has a minimum of 18 and a maximum of 28. Work out the range.
- 2nd July 1962Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 3rd July 1962Expand and simplify (x + 1)(x - 4)(x - 2).
- 4th July 1962A block has volume 50 cm^3 and density 3 g/cm^3. Work out its mass.
- 5th July 1962A cone has base radius 8 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 6th July 196222 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th July 1962A box plot has minimum 9, lower quartile 17, median 25, upper quartile 34 and maximum 39. Work out the interquartile range.
- 8th July 1962A meal deal has 8 mains, 9 sides and 6 drinks. How many different meals are possible?
- 9th July 1962Make x the subject of y = 2x^2 - 3.
- 10th July 1962x : y = 3 : 5. Write y in terms of x.
- 11th July 1962In triangle ABC, angle A is 64°, angle B is 35° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 12th July 19622 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th July 1962A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 14th July 1962A mass is 27.9 kg, correct to 1 decimal place. Write down the lower bound.
- 15th July 1962Factorise x^2 - 121.
- 16th July 1962A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 17th July 1962A 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.
- 18th July 196217 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th July 1962A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 20th July 1962Write 6^-3 as a fraction.
- 21st July 1962A region is defined by y <= -4x - 7. Should the boundary line be solid or dashed, and why?
- 22nd July 1962y is inversely proportional to x. When x = 7, y = 9. Work out y when x = 3.
- 23rd July 1962The point (6, 0) is enlarged by scale factor -1 about the centre (2, 2). Write down the coordinates of the image.
- 24th July 19621 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th July 1962Four classes in order have frequencies 5, 10, 8, 5. Write down the cumulative frequency at the end of the third class.
- 26th July 1962Work out (8 x 10^7) x (3 x 10^-3). Give your answer in standard form.
- 27th July 1962Factorise x^2 - 3x - 40.
- 28th July 1962y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 6.
- 29th July 1962Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 729 cm^3. Work out the volume of the smaller.
- 30th July 196216 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st July 196240 beetles are marked and released. Later 21 are caught, of which 3 are marked. Estimate the population.