Daily Practice · Higher
August 1964 5-a-day
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The batch download puts all 5 tiers' August 1964 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1964
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1964A box plot has minimum 14, lower quartile 21, median 25, upper quartile 31 and maximum 33. Work out the interquartile range.
- 2nd August 1964A bill is £240 including VAT at 20%. Work out the amount before VAT.
- 3rd August 1964For the curve y = 8/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 4th August 1964x : y = 2 : 7. Write y in terms of x.
- 5th August 1964A, B and C are points on a circle with centre O. Angle AOC is 170°. Work out angle ABC, where B is on the major arc.
- 6th August 19646 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th August 1964A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 8th August 1964A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 9th August 1964Expand and simplify (x - 2)(x + 1)(x + 2).
- 10th August 1964A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 11th August 1964A cone has base radius 5 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 12th August 19649 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th August 1964A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 14th August 1964Work out (10 x 10^10) / (2 x 10^3). Give your answer in standard form.
- 15th August 1964Make x the subject of y = 7x^2 - 6.
- 16th August 1964y is inversely proportional to x. When x = 4, y = 20. Work out y when x = 10.
- 17th August 1964In triangle ABC, angle A is 52°, angle B is 37° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 18th August 19643 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th August 1964Four classes in order have frequencies 11, 4, 12, 3. Write down the cumulative frequency at the end of the third class.
- 20th August 1964Write the recurring decimal 0.111... as a fraction in its simplest form.
- 21st August 1964Factorise x^2 - 4.
- 22nd August 1964y is directly proportional to x^2. When x = 4, y = 48. Work out y when x = 9.
- 23rd August 1964A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 24th August 196416 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th August 196445 newts are marked and released. Later 40 are caught, of which 5 are marked. Estimate the population.
- 26th August 1964Work out 16^(3/2).
- 27th August 1964A region is defined by y < 2x + 2. Should the boundary line be solid or dashed, and why?
- 28th August 1964y is directly proportional to x. When x = 4, y = 40. Work out y when x = 13.
- 29th August 1964The point (-5, -1) is enlarged by scale factor -3 about the centre (-2, 0). Write down the coordinates of the image.
- 30th August 19642 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st August 1964A cumulative frequency graph is drawn for 44 values. What cumulative frequency do you read across from to estimate the lower quartile?