Daily Practice · Higher
August 1969 5-a-day
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The batch download puts all 5 tiers' August 1969 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1969
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1969For the curve y = 20/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 2nd August 1969y is directly proportional to x^2. When x = 2, y = 32. Work out y when x = 4.
- 3rd August 1969A, B and C are points on a circle with centre O. Angle AOC is 126°. Work out angle ABC, where B is on the major arc.
- 4th August 19695 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th August 196910 beetles are marked and released. Later 99 are caught, of which 9 are marked. Estimate the population.
- 6th August 1969Write 7^-1 as a fraction.
- 7th August 1969Expand and simplify (x + 2)(x + 3)(x - 3).
- 8th August 1969y is directly proportional to x. When x = 8, y = 40. Work out y when x = 5.
- 9th August 1969A cone has base radius 4 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 10th August 196921 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th August 1969A cumulative frequency graph is drawn for 140 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th August 1969Work out (2 x 10^8) x (6 x 10^5). Give your answer in standard form.
- 13th August 1969Make x the subject of y = 7x^2 - 8.
- 14th August 1969A town's population is 16000 and grows by 6% each year. Work out the population after 3 years, to the nearest whole number.
- 15th August 1969In triangle ABC, angle A is 47°, angle B is 68° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 16th August 19695 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th August 1969A box plot has a minimum of 20 and a maximum of 41. Work out the range.
- 18th August 1969Write the recurring decimal 0.9696... as a fraction in its simplest form.
- 19th August 1969Factorise x^2 - 36.
- 20th August 1969A block has volume 60 cm^3 and density 11 g/cm^3. Work out its mass.
- 21st August 1969A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 22nd August 196924 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd August 1969A box plot has minimum 10, lower quartile 19, median 26, upper quartile 29 and maximum 33. Work out the interquartile range.
- 24th August 1969A bill is £816 including VAT at 20%. Work out the amount before VAT.
- 25th August 1969A region is defined by y <= 5x + 5. Should the boundary line be solid or dashed, and why?
- 26th August 1969x : y = 5 : 6. Write y in terms of x.
- 27th August 1969The point (-6, 2) is enlarged by scale factor -3 about the centre (1, -3). Write down the coordinates of the image.
- 28th August 19693 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th August 1969A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 30th August 1969A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 31st August 1969Factorise x^2 - 13x + 36.