Daily Practice · Higher
August 1967 5-a-day
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The batch download puts all 5 tiers' August 1967 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1967
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1967x : y = 7 : 9. Write y in terms of x.
- 2nd August 1967A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
- 3rd August 19672 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th August 1967A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 5th August 1967A mass is 10 kg, correct to the nearest whole number. Write down the lower bound.
- 6th August 1967A line has equation y = -3x + 2. Work out the gradient of any line perpendicular to it.
- 7th August 1967A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 8th August 1967ABCD is a cyclic quadrilateral. Angle ABC is 56°. Work out angle ADC.
- 9th August 19678 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th August 1967A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 11th August 1967Write 4^-3 as a fraction.
- 12th August 1967For the curve y = -8/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 13th August 1967y is inversely proportional to x. When x = 5, y = 50. Work out y when x = 10.
- 14th August 1967A, B and C are points on a circle with centre O. Angle AOC is 152°. Work out angle ABC, where B is on the major arc.
- 15th August 19675 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th August 1967Four classes in order have frequencies 6, 10, 6, 4. Write down the cumulative frequency at the end of the third class.
- 17th August 1967Work out (9 x 10^8) x (8 x 10^-3). Give your answer in standard form.
- 18th August 1967Expand and simplify (x + 3)(x + 3)(x - 1).
- 19th August 1967y is directly proportional to x^2. When x = 6, y = 72. Work out y when x = 7.
- 20th August 1967A cone has base radius 8 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 21st August 196727 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd August 196720 beetles are marked and released. Later 42 are caught, of which 7 are marked. Estimate the population.
- 23rd August 1967Write the recurring decimal 0.8787... as a fraction in its simplest form.
- 24th August 1967Make x the subject of y = 9x^2 - 7.
- 25th August 1967y is directly proportional to x. When x = 9, y = 108. Work out y when x = 14.
- 26th August 1967In triangle ABC, angle A is 74°, angle B is 75° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 27th August 19672 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th August 1967A cumulative frequency graph is drawn for 176 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 29th August 1967A bill is £120 including VAT at 20%. Work out the amount before VAT.
- 30th August 1967Factorise x^2 - 16.
- 31st August 1967A town's population is 12000 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.