Daily Practice · Higher
July 1993 - Higher 5-a-day
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The batch download puts all 5 tiers' July 1993 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1993
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1993A bill is £696 including VAT at 20%. Work out the amount before VAT.
- 2nd July 1993For the curve y = -80/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 3rd July 1993y is directly proportional to x^2. When x = 5, y = 200. Work out y when x = 8.
- 4th July 1993A, B and C are points on a circle with centre O. Angle AOC is 54°. Work out angle ABC, where B is on the major arc.
- 5th July 19931 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th July 199320 fish are marked and released. Later 15 are caught, of which 3 are marked. Estimate the population.
- 7th July 1993A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 8th July 1993Expand and simplify (x - 1)(x - 5)(x + 3).
- 9th July 1993y is directly proportional to x. When x = 3, y = 15. Work out y when x = 5.
- 10th July 1993A cone has base radius 3 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 11th July 199324 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th July 1993A cumulative frequency graph is drawn for 100 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th July 1993Work out (15 x 10^10) / (3 x 10^2). Give your answer in standard form.
- 14th July 1993Make x the subject of y = 7x^2 - 5.
- 15th July 1993A town's population is 35500 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 16th July 1993In triangle ABC, angle A is 31°, angle B is 105° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 17th July 19932 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th July 1993A box plot has a minimum of 9 and a maximum of 66. Work out the range.
- 19th July 1993Write the recurring decimal 0.777... as a fraction in its simplest form.
- 20th July 1993Factorise x^2 - 121.
- 21st July 1993A block has volume 125 cm^3 and density 3 g/cm^3. Work out its mass.
- 22nd July 1993A 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.
- 23rd July 199321 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th July 1993A box plot has minimum 12, lower quartile 16, median 19, upper quartile 28 and maximum 30. Work out the interquartile range.
- 25th July 1993Work out 81^(3/2).
- 26th July 1993A region is defined by y < x + 4. Should the boundary line be solid or dashed, and why?
- 27th July 1993x : y = 5 : 6. Write y in terms of x.
- 28th July 1993The point (-6, 2) is enlarged by scale factor -1 about the centre (4, 3). Write down the coordinates of the image.
- 29th July 19932 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th July 1993A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 31st July 1993Write sqrt(75) in the form a sqrt(b), where b is as small as possible.