Daily Practice · Higher
April 2003 - Higher 5-a-day
Every Higher sheet published in April 2003, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' April 2003 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2003
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2003A cone has base radius 8 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 2nd April 200315 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd April 2003A histogram class is 10 units wide and contains 30 values. Work out the frequency density.
- 4th April 2003A bill is £192 including VAT at 20%. Work out the amount before VAT.
- 5th April 2003Make x the subject of y = 9x^2 - 3.
- 6th April 2003y is inversely proportional to x. When x = 3, y = 18. Work out y when x = 6.
- 7th April 2003In triangle ABC, angle A is 36°, angle B is 73° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 8th April 20038 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th April 2003Four classes in order have frequencies 7, 8, 7, 11. Write down the cumulative frequency at the end of the third class.
- 10th April 2003A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 11th April 2003Factorise x^2 - 25.
- 12th April 2003y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 8.
- 13th April 2003A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 14th April 200316 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th April 200320 newts are marked and released. Later 48 are caught, of which 4 are marked. Estimate the population.
- 16th April 2003Work out (14 x 10^6) / (7 x 10^2). Give your answer in standard form.
- 17th April 2003A region is defined by y <= -2x + 7. Should the boundary line be solid or dashed, and why?
- 18th April 2003y is directly proportional to x. When x = 2, y = 18. Work out y when x = 14.
- 19th April 2003The point (-4, 3) is enlarged by scale factor -1 about the centre (-2, 1). Write down the coordinates of the image.
- 20th April 20036 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st April 2003A cumulative frequency graph is drawn for 148 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 22nd April 2003Write the recurring decimal 0.777... as a fraction in its simplest form.
- 23rd April 2003Factorise x^2 + 2x - 24.
- 24th April 2003A town's population is 2500 and grows by 4% each year. Work out the population after 4 years, to the nearest whole number.
- 25th April 2003Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 176 cm^3. Work out the volume of the smaller.
- 26th April 200310 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th April 2003A box plot has a minimum of 16 and a maximum of 29. Work out the range.
- 28th April 2003Work out 64^(2/3).
- 29th April 2003Work out the equation of the line parallel to y = -2x - 9 that passes through (4, 3).
- 30th April 2003A block has volume 35 cm^3 and density 11 g/cm^3. Work out its mass.