Daily Practice · Higher
May 2003 - Higher 5-a-day
Every Higher sheet published in May 2003, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' May 2003 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2003
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2003A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 2nd May 20033 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd May 2003A box plot has minimum 14, lower quartile 19, median 25, upper quartile 28 and maximum 30. Work out the interquartile range.
- 4th May 2003Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 5th May 2003A line has equation y = 3x + 4. Work out the gradient of any line perpendicular to it.
- 6th May 2003x : y = 3 : 7. Write y in terms of x.
- 7th May 2003ABCD is a cyclic quadrilateral. Angle ABC is 82°. Work out angle ADC.
- 8th May 200322 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th May 2003A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 10th May 2003A meal deal has 3 mains, 4 sides and 6 drinks. How many different meals are possible?
- 11th May 2003For the curve y = 32/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 12th May 2003A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 13th May 2003A, B and C are points on a circle with centre O. Angle AOC is 94°. Work out angle ABC, where B is on the major arc.
- 14th May 20032 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th May 2003A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 16th May 2003A mass is 25.5 kg, correct to 1 decimal place. Write down the lower bound.
- 17th May 2003Expand and simplify (x + 4)(x + 3)(x + 4).
- 18th May 2003y is inversely proportional to x. When x = 5, y = 4. Work out y when x = 2.
- 19th May 2003A cone has base radius 7 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 20th May 200315 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st May 2003Four classes in order have frequencies 4, 12, 12, 12. Write down the cumulative frequency at the end of the third class.
- 22nd May 2003Write 2^-2 as a fraction.
- 23rd May 2003Make x the subject of y = 9x^2 - 9.
- 24th May 2003y is directly proportional to x^2. When x = 5, y = 100. Work out y when x = 7.
- 25th May 2003In triangle ABC, angle A is 71°, angle B is 67° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 26th May 20034 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th May 200360 voles are marked and released. Later 9 are caught, of which 3 are marked. Estimate the population.
- 28th May 2003Work out (5 x 10^8) x (4 x 10^5). Give your answer in standard form.
- 29th May 2003Factorise x^2 - 121.
- 30th May 2003y is directly proportional to x. When x = 4, y = 48. Work out y when x = 13.
- 31st May 2003A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.