Daily Practice · Higher
May 1957 5-a-day
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The batch download puts all 5 tiers' May 1957 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1957
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1957A block has volume 150 cm^3 and density 11 g/cm^3. Work out its mass.
- 2nd May 1957A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 3rd May 19578 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th May 1957A box plot has minimum 10, lower quartile 15, median 22, upper quartile 24 and maximum 34. Work out the interquartile range.
- 5th May 1957Write the recurring decimal 0.1212... as a fraction in its simplest form.
- 6th May 1957A line has equation y = 2x + 8. Work out the gradient of any line perpendicular to it.
- 7th May 1957x : y = 5 : 9. Write y in terms of x.
- 8th May 1957ABCD is a cyclic quadrilateral. Angle ABC is 84°. Work out angle ADC.
- 9th May 195714 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th May 1957A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 11th May 1957A bill is £120 including VAT at 20%. Work out the amount before VAT.
- 12th May 1957For the curve y = 20/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 13th May 1957A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 14th May 1957A, B and C are points on a circle with centre O. Angle AOC is 164°. Work out angle ABC, where B is on the major arc.
- 15th May 19574 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th May 1957A histogram class is 5 units wide and contains 7.5 values. Work out the frequency density.
- 17th May 1957A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 18th May 1957Expand and simplify (x - 2)(x + 2)(x - 5).
- 19th May 1957y is inversely proportional to x. When x = 2, y = 25. Work out y when x = 5.
- 20th May 1957A cone has base radius 3 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 21st May 195721 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd May 1957Four classes in order have frequencies 6, 12, 5, 9. Write down the cumulative frequency at the end of the third class.
- 23rd May 1957Work out (54 x 10^10) / (9 x 10^2). Give your answer in standard form.
- 24th May 1957Make x the subject of y = 2x^2 - 8.
- 25th May 1957y is directly proportional to x^2. When x = 4, y = 128. Work out y when x = 3.
- 26th May 1957In triangle ABC, angle A is 65°, angle B is 45° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 27th May 19573 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th May 195745 voles are marked and released. Later 36 are caught, of which 9 are marked. Estimate the population.
- 29th May 1957Write the recurring decimal 0.666... as a fraction in its simplest form.
- 30th May 1957Factorise x^2 - 49.
- 31st May 1957y is directly proportional to x. When x = 8, y = 80. Work out y when x = 6.