Daily Practice · Higher
May 1967 5-a-day
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The batch download puts all 5 tiers' May 1967 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1967
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1967Work out (30 x 10^7) / (5 x 10^3). Give your answer in standard form.
- 2nd May 1967A line has equation y = -4x + 5. Work out the gradient of any line perpendicular to it.
- 3rd May 1967A block has volume 185 cm^3 and density 8 g/cm^3. Work out its mass.
- 4th May 1967ABCD is a cyclic quadrilateral. Angle ABC is 81°. Work out angle ADC.
- 5th May 196715 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th May 1967A box plot has minimum 14, lower quartile 23, median 26, upper quartile 29 and maximum 32. Work out the interquartile range.
- 7th May 1967Write the recurring decimal 0.888... as a fraction in its simplest form.
- 8th May 1967For the curve y = 45/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 9th May 1967x : y = 5 : 6. Write y in terms of x.
- 10th May 1967A, B and C are points on a circle with centre O. Angle AOC is 84°. Work out angle ABC, where B is on the major arc.
- 11th May 19673 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th May 1967A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 13th May 1967Work out 100^(3/2).
- 14th May 1967Expand and simplify (x - 1)(x + 4)(x + 2).
- 15th May 1967A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 16th May 1967A cone has base radius 8 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 17th May 196721 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th May 1967A histogram class is 5 units wide and contains 2.5 values. Work out the frequency density.
- 19th May 1967Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 20th May 1967Make x the subject of y = 7x^2 - 12.
- 21st May 1967y is inversely proportional to x. When x = 3, y = 6. Work out y when x = 2.
- 22nd May 1967In triangle ABC, angle A is 74°, angle B is 38° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 23rd May 19674 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th May 1967Four classes in order have frequencies 3, 9, 6, 8. Write down the cumulative frequency at the end of the third class.
- 25th May 1967A meal deal has 3 mains, 9 sides and 3 drinks. How many different meals are possible?
- 26th May 1967Factorise x^2 - 36.
- 27th May 1967y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 2.
- 28th May 1967A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 29th May 196722 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th May 196710 newts are marked and released. Later 12 are caught, of which 3 are marked. Estimate the population.
- 31st May 1967A mass is 560 kg, correct to the nearest 10. Write down the lower bound.