Daily Practice · Higher
August 2003 - Higher 5-a-day
Every Higher sheet published in August 2003, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' August 2003 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 2003
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 2003A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 2nd August 2003Work out (9 x 10^4) x (6 x 10^4). Give your answer in standard form.
- 3rd August 2003Work out the equation of the line parallel to y = -4x - 5 that passes through (4, -12).
- 4th August 2003A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 5th August 2003A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 6th August 20034 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th August 2003A histogram class is 10 units wide and contains 15 values. Work out the frequency density.
- 8th August 2003Write the recurring decimal 0.3333... as a fraction in its simplest form.
- 9th August 2003A line has equation y = 2x + 8. Work out the gradient of any line perpendicular to it.
- 10th August 2003y is inversely proportional to x. When x = 8, y = 12. Work out y when x = 2.
- 11th August 2003ABCD is a cyclic quadrilateral. Angle ABC is 113°. Work out angle ADC.
- 12th August 200323 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th August 2003Four classes in order have frequencies 9, 12, 6, 8. Write down the cumulative frequency at the end of the third class.
- 14th August 2003A bill is £480 including VAT at 20%. Work out the amount before VAT.
- 15th August 2003For the curve y = -5/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 16th August 2003y is directly proportional to x^2. When x = 5, y = 200. Work out y when x = 2.
- 17th August 2003A, B and C are points on a circle with centre O. Angle AOC is 170°. Work out angle ABC, where B is on the major arc.
- 18th August 20032 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th August 200315 voles are marked and released. Later 16 are caught, of which 4 are marked. Estimate the population.
- 20th August 2003A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 21st August 2003Expand and simplify (x + 2)(x - 5)(x + 4).
- 22nd August 2003y is directly proportional to x. When x = 9, y = 99. Work out y when x = 13.
- 23rd August 2003A cone has base radius 2 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 24th August 200311 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 August 2003A cumulative frequency graph is drawn for 68 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 26th August 2003Work out (16 x 10^11) / (4 x 10^2). Give your answer in standard form.
- 27th August 2003Make x the subject of y = 9x^2 - 2.
- 28th August 2003A town's population is 4500 and grows by 8% each year. Work out the population after 3 years, to the nearest whole number.
- 29th August 2003In triangle ABC, angle A is 63°, angle B is 40° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 30th August 20033 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st August 2003A box plot has a minimum of 15 and a maximum of 59. Work out the range.