Daily Practice · Higher
March 2003 - Higher 5-a-day
Every Higher sheet published in March 2003, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2003 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2003
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2003y is directly proportional to x^2. When x = 2, y = 36. Work out y when x = 6.
- 2nd March 2003The point (4, -2) is enlarged by scale factor -3 about the centre (-3, 3). Write down the coordinates of the image.
- 3rd March 20034 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th March 200325 beetles are marked and released. Later 72 are caught, of which 9 are marked. Estimate the population.
- 5th March 2003A meal deal has 6 mains, 4 sides and 5 drinks. How many different meals are possible?
- 6th March 2003Factorise x^2 + 6x + 8.
- 7th March 2003y is directly proportional to x. When x = 8, y = 64. Work out y when x = 2.
- 8th March 2003Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 240 cm^3. Work out the volume of the smaller.
- 9th March 200323 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th March 2003A cumulative frequency graph is drawn for 68 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 11th March 2003A mass is 650 kg, correct to the nearest 10. Write down the lower bound.
- 12th March 2003Work out the equation of the line parallel to y = 2x + 4 that passes through (6, 2).
- 13th March 2003A town's population is 29500 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 14th March 2003A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 15th March 20034 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th March 2003A box plot has a minimum of 20 and a maximum of 43. Work out the range.
- 17th March 2003Write 2^-3 as a fraction.
- 18th March 2003A line has equation y = 5x + 7. Work out the gradient of any line perpendicular to it.
- 19th March 2003A block has volume 125 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 20th March 2003ABCD is a cyclic quadrilateral. Angle ABC is 97°. Work out angle ADC.
- 21st March 200327 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd March 2003A box plot has minimum 6, lower quartile 8, median 11, upper quartile 17 and maximum 19. Work out the interquartile range.
- 23rd March 2003Work out (2 x 10^5) x (5 x 10^-6). Give your answer in standard form.
- 24th March 2003For the curve y = -16/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 25th March 2003x : y = 5 : 8. Write y in terms of x.
- 26th March 2003A, B and C are points on a circle with centre O. Angle AOC is 64°. Work out angle ABC, where B is on the major arc.
- 27th March 20033 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th March 2003A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 29th March 2003Write the recurring decimal 0.5858... as a fraction in its simplest form.
- 30th March 2003Expand and simplify (x - 5)(x - 3)(x - 3).
- 31st March 2003A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.