Daily Practice · Higher
September 2004 - Higher 5-a-day
Every Higher sheet published in September 2004, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' September 2004 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 2004
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 2004Work out (6 x 10^5) x (5 x 10^-4). Give your answer in standard form.
- 2nd September 2004For the curve y = -24/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 3rd September 2004y is directly proportional to x. When x = 6, y = 72. Work out y when x = 15.
- 4th September 2004A, B and C are points on a circle with centre O. Angle AOC is 62°. Work out angle ABC, where B is on the major arc.
- 5th September 20041 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th September 2004A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th September 2004Write the recurring decimal 0.8585... as a fraction in its simplest form.
- 8th September 2004Expand and simplify (x + 2)(x + 5)(x - 1).
- 9th September 2004A town's population is 36000 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
- 10th September 2004A cone has base radius 8 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 11th September 200424 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th September 2004A box plot has a minimum of 19 and a maximum of 76. Work out the range.
- 13th September 2004A bill is £144 including VAT at 20%. Work out the amount before VAT.
- 14th September 2004Make x the subject of y = 2x^2 - 8.
- 15th September 2004A block has volume 65 cm^3 and density 4 g/cm^3. Work out its mass.
- 16th September 2004In triangle ABC, angle A is 77°, angle B is 40° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.
- 17th September 20045 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th September 2004A box plot has minimum 15, lower quartile 19, median 21, upper quartile 28 and maximum 30. Work out the interquartile range.
- 19th September 2004A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 20th September 2004Factorise x^2 - 81.
- 21st September 2004x : y = 2 : 5. Write y in terms of x.
- 22nd September 2004A right-angled triangle has sides 3 cm, 4 cm and 5 cm. Work out the angle opposite the 3 cm side, to 1 decimal place.
- 23rd September 200421 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th September 2004A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 25th September 2004Work out (42 x 10^11) / (6 x 10^4). Give your answer in standard form.
- 26th September 2004A region is defined by y <= -4x - 1. Should the boundary line be solid or dashed, and why?
- 27th September 2004A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 28th September 2004The point (1, -1) is enlarged by scale factor -3 about the centre (0, 1). Write down the coordinates of the image.
- 29th September 20044 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th September 2004A histogram class is 4 units wide and contains 12 values. Work out the frequency density.