Daily Practice · Higher
August 1971 5-a-day
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The batch download puts all 5 tiers' August 1971 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1971
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1971A box plot has a minimum of 10 and a maximum of 27. Work out the range.
- 2nd August 1971Write 4^-1 as a fraction.
- 3rd August 1971Make x the subject of y = 4x^2 - 4.
- 4th August 1971A block has volume 140 cm^3 and density 3 g/cm^3. Work out its mass.
- 5th August 1971In triangle ABC, angle A is 80°, angle B is 49° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 6th August 19714 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th August 1971A box plot has minimum 7, lower quartile 13, median 17, upper quartile 26 and maximum 33. Work out the interquartile range.
- 8th August 1971Work out (3 x 10^8) x (2 x 10^6). Give your answer in standard form.
- 9th August 1971Factorise x^2 - 100.
- 10th August 1971x : y = 4 : 7. Write y in terms of x.
- 11th August 1971A 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.
- 12th August 197119 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th August 1971A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 14th August 1971Write the recurring decimal 0.3838... as a fraction in its simplest form.
- 15th August 1971A region is defined by y <= -5x - 9. Should the boundary line be solid or dashed, and why?
- 16th August 1971A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 17th August 1971The point (5, 0) is enlarged by scale factor -2 about the centre (0, -2). Write down the coordinates of the image.
- 18th August 19717 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th August 1971A histogram class is 5 units wide and contains 2.5 values. Work out the frequency density.
- 20th August 1971A bill is £456 including VAT at 20%. Work out the amount before VAT.
- 21st August 1971Factorise x^2 - 2x - 8.
- 22nd August 1971y is inversely proportional to x. When x = 3, y = 25. Work out y when x = 5.
- 23rd August 1971Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 256 cm^3. Work out the volume of the smaller.
- 24th August 197117 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th August 1971Four classes in order have frequencies 10, 6, 12, 9. Write down the cumulative frequency at the end of the third class.
- 26th August 1971A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 27th August 1971Work out the equation of the line parallel to y = -5x - 6 that passes through (2, -19).
- 28th August 1971y is directly proportional to x^2. When x = 5, y = 225. Work out y when x = 7.
- 29th August 1971A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 30th August 19713 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st August 197130 fish are marked and released. Later 63 are caught, of which 7 are marked. Estimate the population.