Daily Practice · Higher
February 1958 5-a-day
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The batch download puts all 5 tiers' February 1958 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1958
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1958y is directly proportional to x^2. When x = 3, y = 72. Work out y when x = 9.
- 2nd February 1958The point (5, 3) is enlarged by scale factor -2 about the centre (-1, 2). Write down the coordinates of the image.
- 3rd February 19582 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th February 195855 voles are marked and released. Later 36 are caught, of which 4 are marked. Estimate the population.
- 5th February 1958A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 6th February 1958Factorise x^2 - 15x + 56.
- 7th February 1958y is directly proportional to x. When x = 2, y = 24. Work out y when x = 3.
- 8th February 1958Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1280 cm^3. Work out the volume of the smaller.
- 9th February 195813 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th February 1958A cumulative frequency graph is drawn for 48 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 11th February 1958Work out (24 x 10^11) / (4 x 10^5). Give your answer in standard form.
- 12th February 1958Work out the equation of the line parallel to y = 5x + 5 that passes through (6, 26).
- 13th February 1958A town's population is 2500 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 14th February 1958A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 15th February 19582 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th February 1958A box plot has a minimum of 11 and a maximum of 64. Work out the range.
- 17th February 1958Write the recurring decimal 0.777... as a fraction in its simplest form.
- 18th February 1958A line has equation y = -3x + 7. Work out the gradient of any line perpendicular to it.
- 19th February 1958A block has volume 55 cm^3 and density 8 g/cm^3. Work out its mass.
- 20th February 1958ABCD is a cyclic quadrilateral. Angle ABC is 107°. Work out angle ADC.
- 21st February 195819 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd February 1958A box plot has minimum 4, lower quartile 11, median 15, upper quartile 25 and maximum 34. Work out the interquartile range.
- 23rd February 1958Work out 8^(2/3).
- 24th February 1958For the curve y = 32/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 25th February 1958x : y = 2 : 7. Write y in terms of x.
- 26th February 1958A, B and C are points on a circle with centre O. Angle AOC is 140°. Work out angle ABC, where B is on the major arc.
- 27th February 19584 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th February 1958A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.