Daily Practice · Higher
August 1995 - Higher 5-a-day
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The batch download puts all 5 tiers' August 1995 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1995
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 199540 voles are marked and released. Later 48 are caught, of which 8 are marked. Estimate the population.
- 2nd August 1995A meal deal has 6 mains, 7 sides and 5 drinks. How many different meals are possible?
- 3rd August 1995A line has equation y = 3x + 6. Work out the gradient of any line perpendicular to it.
- 4th August 1995y is directly proportional to x. When x = 9, y = 27. Work out y when x = 6.
- 5th August 1995ABCD is a cyclic quadrilateral. Angle ABC is 127°. Work out angle ADC.
- 6th August 199524 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 1995A cumulative frequency graph is drawn for 40 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 8th August 1995A mass is 23.3 kg, correct to 1 decimal place. Write down the lower bound.
- 9th August 1995For the curve y = 3/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 10th August 1995A town's population is 32500 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 11th August 1995A, B and C are points on a circle with centre O. Angle AOC is 64°. Work out angle ABC, where B is on the major arc.
- 12th August 19951 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th August 1995A box plot has a minimum of 7 and a maximum of 36. Work out the range.
- 14th August 1995Write 5^-2 as a fraction.
- 15th August 1995Expand and simplify (x - 2)(x + 1)(x - 3).
- 16th August 1995A block has volume 95 cm^3 and density 4 g/cm^3. Work out its mass.
- 17th August 1995A cone has base radius 3 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 18th August 199510 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th August 1995A box plot has minimum 10, lower quartile 17, median 24, upper quartile 32 and maximum 41. Work out the interquartile range.
- 20th August 1995Work out (5 x 10^3) x (6 x 10^6). Give your answer in standard form.
- 21st August 1995Make x the subject of y = 3x^2 - 6.
- 22nd August 1995x : y = 2 : 5. Write y in terms of x.
- 23rd August 1995In triangle ABC, angle A is 73°, angle B is 35° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 24th August 19957 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th August 1995A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 26th August 1995Write the recurring decimal 0.8484... as a fraction in its simplest form.
- 27th August 1995Factorise x^2 - 121.
- 28th August 1995A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 29th August 1995A 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.
- 30th August 199531 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 31st August 1995A histogram class is 4 units wide and contains 2 values. Work out the frequency density.