Daily Practice · Higher
August 1956 5-a-day
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The batch download puts all 5 tiers' August 1956 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1956
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1956Four classes in order have frequencies 9, 10, 12, 11. Write down the cumulative frequency at the end of the third class.
- 2nd August 1956Write 3^-2 as a fraction.
- 3rd August 1956Expand and simplify (x + 5)(x + 4)(x + 1).
- 4th August 1956y is directly proportional to x^2. When x = 3, y = 18. Work out y when x = 7.
- 5th August 1956A cone has base radius 10 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 6th August 195623 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th August 195610 voles are marked and released. Later 24 are caught, of which 3 are marked. Estimate the population.
- 8th August 1956Work out (5 x 10^4) x (3 x 10^3). Give your answer in standard form.
- 9th August 1956Make x the subject of y = 2x^2 - 7.
- 10th August 1956y is directly proportional to x. When x = 5, y = 25. Work out y when x = 10.
- 11th August 1956In triangle ABC, angle A is 36°, angle B is 75° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 12th August 19564 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th August 1956A cumulative frequency graph is drawn for 56 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 14th August 1956Write the recurring decimal 0.1717... as a fraction in its simplest form.
- 15th August 1956Factorise x^2 - 49.
- 16th August 1956A town's population is 3500 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 17th August 1956A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 18th August 195616 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th August 1956A box plot has a minimum of 5 and a maximum of 19. Work out the range.
- 20th August 1956A bill is £720 including VAT at 20%. Work out the amount before VAT.
- 21st August 1956A region is defined by y <= -5x + 2. Should the boundary line be solid or dashed, and why?
- 22nd August 1956A block has volume 165 cm^3 and density 3 g/cm^3. Work out its mass.
- 23rd August 1956The point (-1, -2) is enlarged by scale factor -2 about the centre (1, 1). Write down the coordinates of the image.
- 24th August 19563 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th August 1956A box plot has minimum 15, lower quartile 17, median 24, upper quartile 33 and maximum 42. Work out the interquartile range.
- 26th August 1956A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 27th August 1956Factorise x^2 + 9x + 14.
- 28th August 1956x : y = 4 : 5. Write y in terms of x.
- 29th August 1956Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 81 cm^3. Work out the volume of the smaller.
- 30th August 195612 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st August 1956A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.