Daily Practice · Higher
March 2004 - Higher 5-a-day
Every Higher sheet published in March 2004, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2004 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2004
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2004A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 2nd March 2004A cone has base radius 2 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 3rd March 200422 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th March 2004A histogram class is 10 units wide and contains 5 values. Work out the frequency density.
- 5th March 2004A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 6th March 2004Make x the subject of y = 3x^2 - 3.
- 7th March 2004y is inversely proportional to x. When x = 9, y = 24. Work out y when x = 12.
- 8th March 2004In triangle ABC, angle A is 40°, angle B is 73° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 9th March 20041 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th March 2004Four classes in order have frequencies 4, 5, 6, 9. Write down the cumulative frequency at the end of the third class.
- 11th March 2004Work out (64 x 10^11) / (8 x 10^3). Give your answer in standard form.
- 12th March 2004Factorise x^2 - 4.
- 13th March 2004y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 8.
- 14th March 2004A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 15th March 200418 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th March 200445 fish are marked and released. Later 9 are caught, of which 3 are marked. Estimate the population.
- 17th March 2004Write the recurring decimal 0.777... as a fraction in its simplest form.
- 18th March 2004A region is defined by y < x - 7. Should the boundary line be solid or dashed, and why?
- 19th March 2004y is directly proportional to x. When x = 6, y = 30. Work out y when x = 2.
- 20th March 2004The point (6, 0) is enlarged by scale factor -2 about the centre (4, 3). Write down the coordinates of the image.
- 21st March 20046 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd March 2004A cumulative frequency graph is drawn for 128 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 23rd March 2004Work out 16^(3/2).
- 24th March 2004Factorise x^2 - 8x + 15.
- 25th March 2004A town's population is 24000 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.
- 26th March 2004Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 297 cm^3. Work out the volume of the smaller.
- 27th March 200416 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th March 2004A box plot has a minimum of 20 and a maximum of 40. Work out the range.
- 29th March 2004Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
- 30th March 2004Work out the equation of the line parallel to y = 4x - 4 that passes through (4, 15).
- 31st March 2004A block has volume 50 cm^3 and density 8 g/cm^3. Work out its mass.