Daily Practice · Higher
July 1996 - Higher 5-a-day
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The batch download puts all 5 tiers' July 1996 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1996
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 19963 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd July 199660 newts are marked and released. Later 18 are caught, of which 2 are marked. Estimate the population.
- 3rd July 1996A mass is 72 kg, correct to the nearest whole number. Write down the upper bound.
- 4th July 1996A line has equation y = -3x + 7. Work out the gradient of any line perpendicular to it.
- 5th July 1996y is directly proportional to x. When x = 6, y = 60. Work out y when x = 8.
- 6th July 1996ABCD is a cyclic quadrilateral. Angle ABC is 85°. Work out angle ADC.
- 7th July 199615 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th July 1996A cumulative frequency graph is drawn for 228 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 9th July 1996Write 4^-3 as a fraction.
- 10th July 1996For the curve y = -55/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 11th July 1996A town's population is 17000 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 12th July 1996A, B and C are points on a circle with centre O. Angle AOC is 124°. Work out angle ABC, where B is on the major arc.
- 13th July 19963 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th July 1996A box plot has a minimum of 13 and a maximum of 39. Work out the range.
- 15th July 1996Work out (3 x 10^4) x (4 x 10^5). Give your answer in standard form.
- 16th July 1996Expand and simplify (x - 4)(x - 2)(x + 4).
- 17th July 1996A block has volume 120 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 18th July 1996A cone has base radius 7 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 19th July 19968 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th July 1996A box plot has minimum 3, lower quartile 8, median 10, upper quartile 18 and maximum 24. Work out the interquartile range.
- 21st July 1996Write the recurring decimal 0.3232... as a fraction in its simplest form.
- 22nd July 1996Make x the subject of y = 5x^2 - 2.
- 23rd July 1996x : y = 3 : 7. Write y in terms of x.
- 24th July 1996In triangle ABC, angle A is 73°, angle B is 55° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 25th July 19961 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th July 1996A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 27th July 1996A bill is £552 including VAT at 20%. Work out the amount before VAT.
- 28th July 1996Factorise x^2 - 49.
- 29th July 1996A price rises by 20% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 30th July 1996A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 31st July 19968 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.