Daily Practice · Higher
June 1994 - Higher 5-a-day
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The batch download puts all 5 tiers' June 1994 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1994
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1994Four classes in order have frequencies 9, 12, 12, 11. Write down the cumulative frequency at the end of the third class.
- 2nd June 1994A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 3rd June 1994For the curve y = -32/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 4th June 1994y is directly proportional to x^2. When x = 2, y = 16. Work out y when x = 9.
- 5th June 1994A, B and C are points on a circle with centre O. Angle AOC is 118°. Work out angle ABC, where B is on the major arc.
- 6th June 19942 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th June 199425 fish are marked and released. Later 8 are caught, of which 2 are marked. Estimate the population.
- 8th June 1994Work out (30 x 10^10) / (6 x 10^4). Give your answer in standard form.
- 9th June 1994Expand and simplify (x + 5)(x - 4)(x + 3).
- 10th June 1994y is directly proportional to x. When x = 8, y = 88. Work out y when x = 9.
- 11th June 1994A cone has base radius 9 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 12th June 199419 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th June 1994A cumulative frequency graph is drawn for 68 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 14th June 1994Write the recurring decimal 0.444... as a fraction in its simplest form.
- 15th June 1994Make x the subject of y = 3x^2 - 3.
- 16th June 1994A town's population is 40000 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 17th June 1994In triangle ABC, angle A is 80°, angle B is 44° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 18th June 19945 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th June 1994A box plot has a minimum of 6 and a maximum of 48. Work out the range.
- 20th June 1994Work out 25^(3/2).
- 21st June 1994Factorise x^2 - 4.
- 22nd June 1994A block has volume 180 cm^3 and density 8 g/cm^3. Work out its mass.
- 23rd June 1994A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 24th June 199414 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th June 1994A box plot has minimum 3, lower quartile 5, median 10, upper quartile 18 and maximum 26. Work out the interquartile range.
- 26th June 1994Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
- 27th June 1994A region is defined by y <= 4x - 1. Should the boundary line be solid or dashed, and why?
- 28th June 1994x : y = 2 : 9. Write y in terms of x.
- 29th June 1994The point (1, 1) is enlarged by scale factor -3 about the centre (-1, -2). Write down the coordinates of the image.
- 30th June 19942 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.