Daily Practice · Higher
June 2003 - Higher 5-a-day
Every Higher sheet published in June 2003, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' June 2003 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2003
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 200327 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd June 2003A cumulative frequency graph is drawn for 240 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3rd June 2003Write the recurring decimal 0.5252... as a fraction in its simplest form.
- 4th June 2003A region is defined by y <= -5x - 2. Should the boundary line be solid or dashed, and why?
- 5th June 2003A town's population is 2500 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 6th June 2003The point (6, 3) is enlarged by scale factor -2 about the centre (-3, -1). Write down the coordinates of the image.
- 7th June 20033 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th June 2003A box plot has a minimum of 13 and a maximum of 72. Work out the range.
- 9th June 2003A bill is £264 including VAT at 20%. Work out the amount before VAT.
- 10th June 2003Factorise x^2 + 13x + 42.
- 11th June 2003A block has volume 180 cm^3 and density 3 g/cm^3. Work out its mass.
- 12th June 2003Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1920 cm^3. Work out the volume of the smaller.
- 13th June 200311 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th June 2003A box plot has minimum 11, lower quartile 17, median 19, upper quartile 24 and maximum 27. Work out the interquartile range.
- 15th June 2003A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 16th June 2003Work out the equation of the line parallel to y = 2x + 2 that passes through (3, 12).
- 17th June 2003x : y = 3 : 5. Write y in terms of x.
- 18th June 2003A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.
- 19th June 20034 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th June 2003A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 21st June 2003Work out (56 x 10^6) / (7 x 10^3). Give your answer in standard form.
- 22nd June 2003A line has equation y = 4x + 2. Work out the gradient of any line perpendicular to it.
- 23rd June 2003A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 24th June 2003ABCD is a cyclic quadrilateral. Angle ABC is 109°. Work out angle ADC.
- 25th June 200312 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th June 2003A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 27th June 2003Write the recurring decimal 0.333... as a fraction in its simplest form.
- 28th June 2003For the curve y = 22/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 29th June 2003y is inversely proportional to x. When x = 9, y = 60. Work out y when x = 10.
- 30th June 2003A, B and C are points on a circle with centre O. Angle AOC is 94°. Work out angle ABC, where B is on the major arc.