Daily Practice · Higher
April 1958 5-a-day
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The batch download puts all 5 tiers' April 1958 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1958
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1958Work out the equation of the line parallel to y = -5x + 5 that passes through (6, -29).
- 2nd April 1958A block has volume 200 cm^3 and density 11 g/cm^3. Work out its mass.
- 3rd April 1958A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 4th April 19581 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th April 1958A box plot has minimum 8, lower quartile 15, median 22, upper quartile 27 and maximum 33. Work out the interquartile range.
- 6th April 1958A bill is £456 including VAT at 20%. Work out the amount before VAT.
- 7th April 1958A line has equation y = 2x + 3. Work out the gradient of any line perpendicular to it.
- 8th April 1958x : y = 4 : 5. Write y in terms of x.
- 9th April 1958ABCD is a cyclic quadrilateral. Angle ABC is 130°. Work out angle ADC.
- 10th April 195816 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th April 1958A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 12th April 1958A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 13th April 1958For the curve y = 5/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 14th April 1958A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 15th April 1958A, B and C are points on a circle with centre O. Angle AOC is 74°. Work out angle ABC, where B is on the major arc.
- 16th April 19581 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th April 1958A histogram class is 20 units wide and contains 10 values. Work out the frequency density.
- 18th April 1958Work out (64 x 10^6) / (8 x 10^5). Give your answer in standard form.
- 19th April 1958Expand and simplify (x + 1)(x + 3)(x + 4).
- 20th April 1958y is inversely proportional to x. When x = 4, y = 6. Work out y when x = 2.
- 21st April 1958A cone has base radius 5 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 22nd April 195823 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd April 1958Four classes in order have frequencies 8, 6, 8, 7. Write down the cumulative frequency at the end of the third class.
- 24th April 1958Write the recurring decimal 0.666... as a fraction in its simplest form.
- 25th April 1958Make x the subject of y = 5x^2 - 9.
- 26th April 1958y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 2.
- 27th April 1958In triangle ABC, angle A is 75°, angle B is 71° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 28th April 19584 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th April 195840 newts are marked and released. Later 27 are caught, of which 9 are marked. Estimate the population.
- 30th April 1958Work out 100^(3/2).