Daily Practice · Higher
August 1988 5-a-day
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The batch download puts all 5 tiers' August 1988 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1988
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1988A cumulative frequency graph is drawn for 68 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd August 1988Work out (6 x 10^5) x (3 x 10^-5). Give your answer in standard form.
- 3rd August 1988Factorise x^2 - 8x + 7.
- 4th August 1988A town's population is 11000 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
- 5th August 1988Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 1080 cm^3. Work out the volume of the smaller.
- 6th August 198830 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th August 1988A box plot has a minimum of 12 and a maximum of 32. Work out the range.
- 8th August 1988Write the recurring decimal 0.7878... as a fraction in its simplest form.
- 9th August 1988Work out the equation of the line parallel to y = x + 4 that passes through (4, 12).
- 10th August 1988A block has volume 135 cm^3 and density 3 g/cm^3. Work out its mass.
- 11th August 1988A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 12th August 19883 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th August 1988A box plot has minimum 4, lower quartile 6, median 14, upper quartile 18 and maximum 27. Work out the interquartile range.
- 14th August 1988A bill is £768 including VAT at 20%. Work out the amount before VAT.
- 15th August 1988A line has equation y = -4x + 5. Work out the gradient of any line perpendicular to it.
- 16th August 1988x : y = 5 : 9. Write y in terms of x.
- 17th August 1988ABCD is a cyclic quadrilateral. Angle ABC is 130°. Work out angle ADC.
- 18th August 198823 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th August 1988A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 20th August 1988A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 21st August 1988For the curve y = 50/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 22nd August 1988A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 23rd August 1988A, B and C are points on a circle with centre O. Angle AOC is 140°. Work out angle ABC, where B is on the major arc.
- 24th August 19881 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th August 1988A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 26th August 1988Work out (72 x 10^8) / (8 x 10^4). Give your answer in standard form.
- 27th August 1988Expand and simplify (x + 3)(x - 3)(x + 5).
- 28th August 1988y is inversely proportional to x. When x = 4, y = 3. Work out y when x = 3.
- 29th August 1988A cone has base radius 10 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 30th August 198810 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st August 1988Four classes in order have frequencies 8, 9, 4, 6. Write down the cumulative frequency at the end of the third class.