Daily Practice · Higher
February 2003 - Higher 5-a-day
Every Higher sheet published in February 2003, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' February 2003 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 2003
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 200315 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd February 2003A box plot has a minimum of 6 and a maximum of 32. Work out the range.
- 3rd February 2003A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 4th February 2003For the curve y = 50/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 5th February 2003A block has volume 120 cm^3 and density 8 g/cm^3. Work out its mass.
- 6th February 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.
- 7th February 20033 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th February 2003A box plot has minimum 11, lower quartile 21, median 25, upper quartile 29 and maximum 35. Work out the interquartile range.
- 9th February 2003Work out (16 x 10^7) / (8 x 10^5). Give your answer in standard form.
- 10th February 2003Expand and simplify (x - 5)(x - 4)(x + 3).
- 11th February 2003x : y = 2 : 5. Write y in terms of x.
- 12th February 2003A cone has base radius 2 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 13th February 200317 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th February 2003A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 15th February 2003Write the recurring decimal 0.333... as a fraction in its simplest form.
- 16th February 2003Make x the subject of y = 3x^2 - 11.
- 17th February 2003A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 18th February 2003In triangle ABC, angle A is 61°, angle B is 85° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 19th February 20031 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th February 2003A histogram class is 10 units wide and contains 30 values. Work out the frequency density.
- 21st February 2003Work out 125^(2/3).
- 22nd February 2003Factorise x^2 - 25.
- 23rd February 2003y is inversely proportional to x. When x = 8, y = 12. Work out y when x = 6.
- 24th February 2003A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 25th February 200326 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th February 2003Four classes in order have frequencies 6, 3, 9, 3. Write down the cumulative frequency at the end of the third class.
- 27th February 2003Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 28th February 2003A region is defined by y <= 4x + 4. Should the boundary line be solid or dashed, and why?