Daily Practice · Higher
May 1958 5-a-day
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The batch download puts all 5 tiers' May 1958 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1958
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1958Factorise x^2 - 121.
- 2nd May 1958y is directly proportional to x. When x = 8, y = 64. Work out y when x = 15.
- 3rd May 1958A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 4th May 195821 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th May 1958A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 6th May 1958Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 7th May 1958A region is defined by y <= 4x + 3. Should the boundary line be solid or dashed, and why?
- 8th May 1958A town's population is 9000 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 9th May 1958The point (-1, -6) is enlarged by scale factor -2 about the centre (-3, 3). Write down the coordinates of the image.
- 10th May 19586 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th May 1958A box plot has a minimum of 7 and a maximum of 50. Work out the range.
- 12th May 1958A meal deal has 8 mains, 8 sides and 4 drinks. How many different meals are possible?
- 13th May 1958Factorise x^2 - 5x - 24.
- 14th May 1958A block has volume 175 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 15th May 1958Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 768 cm^3. Work out the volume of the smaller.
- 16th May 195818 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th May 1958A box plot has minimum 7, lower quartile 13, median 20, upper quartile 30 and maximum 36. Work out the interquartile range.
- 18th May 1958A mass is 19.5 kg, correct to 1 decimal place. Write down the upper bound.
- 19th May 1958Work out the equation of the line parallel to y = -x + 1 that passes through (2, -6).
- 20th May 1958x : y = 4 : 7. Write y in terms of x.
- 21st May 1958A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 22nd May 19584 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd May 1958A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 24th May 1958Write 5^-2 as a fraction.
- 25th May 1958A line has equation y = 2x + 8. Work out the gradient of any line perpendicular to it.
- 26th May 1958A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 27th May 1958ABCD is a cyclic quadrilateral. Angle ABC is 71°. Work out angle ADC.
- 28th May 195818 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th May 1958A histogram class is 10 units wide and contains 5 values. Work out the frequency density.
- 30th May 1958Work out (7 x 10^7) x (9 x 10^-3). Give your answer in standard form.
- 31st May 1958For the curve y = -24/x, work out y when x = 2, and write down the equation of its vertical asymptote.