Daily Practice · Higher
August 1993 - Higher 5-a-day
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The batch download puts all 5 tiers' August 1993 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1993
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1993Factorise x^2 + 17x + 72.
- 2nd August 1993A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 3rd August 1993Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1856 cm^3. Work out the volume of the smaller.
- 4th August 199311 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th August 1993A histogram class is 2 units wide and contains 3 values. Work out the frequency density.
- 6th August 1993A meal deal has 3 mains, 6 sides and 6 drinks. How many different meals are possible?
- 7th August 1993Work out the equation of the line parallel to y = -2x + 2 that passes through (3, -9).
- 8th August 1993y is inversely proportional to x. When x = 6, y = 10. Work out y when x = 2.
- 9th August 1993A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 10th August 19932 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th August 1993Four classes in order have frequencies 4, 7, 10, 6. Write down the cumulative frequency at the end of the third class.
- 12th August 1993A mass is 69 kg, correct to the nearest whole number. Write down the lower bound.
- 13th August 1993A line has equation y = -3x + 8. Work out the gradient of any line perpendicular to it.
- 14th August 1993y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 6.
- 15th August 1993ABCD is a cyclic quadrilateral. Angle ABC is 117°. Work out angle ADC.
- 16th August 199318 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th August 199330 beetles are marked and released. Later 42 are caught, of which 6 are marked. Estimate the population.
- 18th August 1993Write 7^-1 as a fraction.
- 19th August 1993For the curve y = -50/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 20th August 1993y is directly proportional to x. When x = 7, y = 14. Work out y when x = 9.
- 21st August 1993A, B and C are points on a circle with centre O. Angle AOC is 72°. Work out angle ABC, where B is on the major arc.
- 22nd August 19934 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd August 1993A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 24th August 1993Work out (5 x 10^3) x (4 x 10^5). Give your answer in standard form.
- 25th August 1993Expand and simplify (x - 1)(x - 3)(x + 1).
- 26th August 1993A town's population is 39500 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 27th August 1993A cone has base radius 9 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 28th August 199319 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th August 1993A box plot has a minimum of 7 and a maximum of 23. Work out the range.
- 30th August 1993Write the recurring decimal 0.5353... as a fraction in its simplest form.
- 31st August 1993Make x the subject of y = 7x^2 - 2.