Daily Practice · Higher
July 2004 - Higher 5-a-day
Every Higher sheet published in July 2004, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' July 2004 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 2004
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 200412 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd July 2004A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 3rd July 2004Write the recurring decimal 0.5555... as a fraction in its simplest form.
- 4th July 2004Work out the equation of the line parallel to y = -3x - 5 that passes through (1, 7).
- 5th July 2004A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 6th July 2004A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 7th July 20042 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th July 2004A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 9th July 2004A bill is £336 including VAT at 20%. Work out the amount before VAT.
- 10th July 2004A line has equation y = -4x + 8. Work out the gradient of any line perpendicular to it.
- 11th July 2004y is inversely proportional to x. When x = 5, y = 8. Work out y when x = 2.
- 12th July 2004ABCD is a cyclic quadrilateral. Angle ABC is 63°. Work out angle ADC.
- 13th July 200432 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th July 2004Four classes in order have frequencies 8, 7, 5, 5. Write down the cumulative frequency at the end of the third class.
- 15th July 2004A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 16th July 2004For the curve y = -10/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 17th July 2004y is directly proportional to x^2. When x = 5, y = 150. Work out y when x = 6.
- 18th July 2004A, B and C are points on a circle with centre O. Angle AOC is 112°. Work out angle ABC, where B is on the major arc.
- 19th July 20044 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th July 200430 fish are marked and released. Later 96 are caught, of which 8 are marked. Estimate the population.
- 21st July 2004Work out (56 x 10^7) / (8 x 10^4). Give your answer in standard form.
- 22nd July 2004Expand and simplify (x + 2)(x + 1)(x + 5).
- 23rd July 2004y is directly proportional to x. When x = 5, y = 40. Work out y when x = 10.
- 24th July 2004A cone has base radius 7 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 25th July 200418 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th July 2004A cumulative frequency graph is drawn for 212 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 27th July 2004Write the recurring decimal 0.444... as a fraction in its simplest form.
- 28th July 2004Make x the subject of y = 8x^2 - 9.
- 29th July 2004A town's population is 34000 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 30th July 2004In triangle ABC, angle A is 46°, angle B is 32° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 31st July 20043 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.