Daily Practice · Higher
August 1979 5-a-day
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The batch download puts all 5 tiers' August 1979 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1979
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1979Four classes in order have frequencies 10, 7, 7, 7. Write down the cumulative frequency at the end of the third class.
- 2nd August 1979A bill is £816 including VAT at 20%. Work out the amount before VAT.
- 3rd August 1979Expand and simplify (x - 3)(x + 3)(x - 3).
- 4th August 1979y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 4.
- 5th August 1979A cone has base radius 8 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 6th August 197915 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th August 197910 fish are marked and released. Later 24 are caught, of which 6 are marked. Estimate the population.
- 8th August 1979A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 9th August 1979Make x the subject of y = 8x^2 - 9.
- 10th August 1979y is directly proportional to x. When x = 3, y = 9. Work out y when x = 9.
- 11th August 1979In triangle ABC, angle A is 55°, angle B is 32° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 12th August 19791 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th August 1979A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 14th August 1979Work out (20 x 10^7) / (5 x 10^4). Give your answer in standard form.
- 15th August 1979Factorise x^2 - 9.
- 16th August 1979A town's population is 26500 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.
- 17th August 1979A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 18th August 197931 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th August 1979A box plot has a minimum of 15 and a maximum of 75. Work out the range.
- 20th August 1979Write the recurring decimal 0.222... as a fraction in its simplest form.
- 21st August 1979A region is defined by y < -x - 1. Should the boundary line be solid or dashed, and why?
- 22nd August 1979A block has volume 115 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 23rd August 1979The point (4, 4) is enlarged by scale factor -2 about the centre (4, 0). Write down the coordinates of the image.
- 24th August 19794 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th August 1979A box plot has minimum 13, lower quartile 22, median 29, upper quartile 37 and maximum 44. Work out the interquartile range.
- 26th August 1979Work out 100^(3/2).
- 27th August 1979Factorise x^2 - 10x + 25.
- 28th August 1979x : y = 4 : 9. Write y in terms of x.
- 29th August 1979Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 192 cm^3. Work out the volume of the smaller.
- 30th August 197913 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st August 1979A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.