Daily Practice · Higher
April 1956 5-a-day
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The batch download puts all 5 tiers' April 1956 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1956
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1956The point (-2, -4) is enlarged by scale factor -2 about the centre (-3, -4). Write down the coordinates of the image.
- 2nd April 19562 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd April 195640 newts are marked and released. Later 54 are caught, of which 6 are marked. Estimate the population.
- 4th April 1956Write the recurring decimal 0.5454... as a fraction in its simplest form.
- 5th April 1956Factorise x^2 + 4x + 3.
- 6th April 1956y is directly proportional to x. When x = 7, y = 84. Work out y when x = 2.
- 7th April 1956Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 32 cm^3. Work out the volume of the smaller.
- 8th April 195612 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th April 1956A cumulative frequency graph is drawn for 60 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th April 1956A bill is £936 including VAT at 20%. Work out the amount before VAT.
- 11th April 1956Work out the equation of the line parallel to y = 2x - 1 that passes through (1, -3).
- 12th April 1956A town's population is 4500 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 13th April 1956A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 14th April 19562 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th April 1956A box plot has a minimum of 14 and a maximum of 72. Work out the range.
- 16th April 1956A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 17th April 1956A line has equation y = -3x + 8. Work out the gradient of any line perpendicular to it.
- 18th April 1956A block has volume 65 cm^3 and density 3 g/cm^3. Work out its mass.
- 19th April 1956ABCD is a cyclic quadrilateral. Angle ABC is 120°. Work out angle ADC.
- 20th April 195625 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st April 1956A box plot has minimum 15, lower quartile 17, median 26, upper quartile 31 and maximum 40. Work out the interquartile range.
- 22nd April 1956Work out (18 x 10^8) / (2 x 10^5). Give your answer in standard form.
- 23rd April 1956For the curve y = 80/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 24th April 1956x : y = 5 : 8. Write y in terms of x.
- 25th April 1956A, B and C are points on a circle with centre O. Angle AOC is 134°. Work out angle ABC, where B is on the major arc.
- 26th April 19564 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th April 1956A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 28th April 1956Write the recurring decimal 0.111... as a fraction in its simplest form.
- 29th April 1956Expand and simplify (x - 5)(x + 4)(x + 5).
- 30th April 1956A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.