Daily Practice · Higher
May 1993 - Higher 5-a-day
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The batch download puts all 5 tiers' May 1993 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1993
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1993A box plot has minimum 12, lower quartile 15, median 23, upper quartile 33 and maximum 39. Work out the interquartile range.
- 2nd May 1993A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 3rd May 1993Work out the equation of the line parallel to y = 5x + 7 that passes through (1, 10).
- 4th May 1993x : y = 3 : 8. Write y in terms of x.
- 5th May 1993A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 6th May 19937 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th May 1993A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 8th May 1993Work out (14 x 10^7) / (2 x 10^5). Give your answer in standard form.
- 9th May 1993A line has equation y = -4x + 6. Work out the gradient of any line perpendicular to it.
- 10th May 1993A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 11th May 1993ABCD is a cyclic quadrilateral. Angle ABC is 59°. Work out angle ADC.
- 12th May 199321 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th May 1993A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 14th May 1993Write the recurring decimal 0.555... as a fraction in its simplest form.
- 15th May 1993For the curve y = 4/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 16th May 1993y is inversely proportional to x. When x = 6, y = 8. Work out y when x = 4.
- 17th May 1993A, B and C are points on a circle with centre O. Angle AOC is 176°. Work out angle ABC, where B is on the major arc.
- 18th May 19934 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th May 1993Four classes in order have frequencies 3, 12, 9, 5. Write down the cumulative frequency at the end of the third class.
- 20th May 1993Work out 27^(2/3).
- 21st May 1993Expand and simplify (x - 5)(x + 4)(x - 5).
- 22nd May 1993y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 6.
- 23rd May 1993A cone has base radius 9 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 24th May 199317 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th May 199335 voles are marked and released. Later 24 are caught, of which 6 are marked. Estimate the population.
- 26th May 1993Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 27th May 1993Make x the subject of y = 3x^2 - 7.
- 28th May 1993y is directly proportional to x. When x = 9, y = 54. Work out y when x = 10.
- 29th May 1993In triangle ABC, angle A is 33°, angle B is 41° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 30th May 19932 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st May 1993A cumulative frequency graph is drawn for 160 values. What cumulative frequency do you read across from to estimate the lower quartile?