Daily Practice · Higher
June 2002 - Higher 5-a-day
Every Higher sheet published in June 2002, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' June 2002 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2002
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2002A box plot has minimum 5, lower quartile 12, median 17, upper quartile 21 and maximum 30. Work out the interquartile range.
- 2nd June 2002Work out 25^(3/2).
- 3rd June 2002A line has equation y = 3x + 9. Work out the gradient of any line perpendicular to it.
- 4th June 2002x : y = 2 : 9. Write y in terms of x.
- 5th June 2002ABCD is a cyclic quadrilateral. Angle ABC is 55°. Work out angle ADC.
- 6th June 200216 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 7th June 2002A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 8th June 2002Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
- 9th June 2002For the curve y = 40/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 10th June 2002A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 11th June 2002A, B and C are points on a circle with centre O. Angle AOC is 172°. Work out angle ABC, where B is on the major arc.
- 12th June 20025 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 13th June 2002A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 14th June 2002A meal deal has 9 mains, 5 sides and 2 drinks. How many different meals are possible?
- 15th June 2002Expand and simplify (x - 2)(x - 5)(x + 4).
- 16th June 2002y is inversely proportional to x. When x = 2, y = 72. Work out y when x = 12.
- 17th June 2002A cone has base radius 6 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 18th June 200212 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 19th June 2002Four classes in order have frequencies 4, 4, 11, 10. Write down the cumulative frequency at the end of the third class.
- 20th June 2002A mass is 16.4 kg, correct to 1 decimal place. Write down the upper bound.
- 21st June 2002Make x the subject of y = 4x^2 - 3.
- 22nd June 2002y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 7.
- 23rd June 2002In triangle ABC, angle A is 72°, angle B is 70° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 24th June 20025 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 25th June 200245 newts are marked and released. Later 66 are caught, of which 6 are marked. Estimate the population.
- 26th June 2002Write 9^-1 as a fraction.
- 27th June 2002Factorise x^2 - 64.
- 28th June 2002y is directly proportional to x. When x = 2, y = 14. Work out y when x = 6.
- 29th June 2002A 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.
- 30th June 200217 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.