Daily Practice · Higher
December 2002 - Higher 5-a-day
Every Higher sheet published in December 2002, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' December 2002 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 2002
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 2002y is inversely proportional to x. When x = 8, y = 6. Work out y when x = 2.
- 2nd December 2002Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 320 cm^3. Work out the volume of the smaller.
- 3rd December 200221 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 December 2002Four classes in order have frequencies 8, 4, 12, 7. Write down the cumulative frequency at the end of the third class.
- 5th December 2002Work out (18 x 10^6) / (3 x 10^4). Give your answer in standard form.
- 6th December 2002Work out the equation of the line parallel to y = -4x - 2 that passes through (5, -30).
- 7th December 2002y is directly proportional to x^2. When x = 6, y = 288. Work out y when x = 9.
- 8th December 2002A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 9th December 20022 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th December 200225 newts are marked and released. Later 45 are caught, of which 9 are marked. Estimate the population.
- 11th December 2002Write the recurring decimal 0.444... as a fraction in its simplest form.
- 12th December 2002A line has equation y = -4x + 9. Work out the gradient of any line perpendicular to it.
- 13th December 2002y is directly proportional to x. When x = 8, y = 88. Work out y when x = 15.
- 14th December 2002ABCD is a cyclic quadrilateral. Angle ABC is 55°. Work out angle ADC.
- 15th December 200215 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th December 2002A cumulative frequency graph is drawn for 212 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 17th December 2002Work out 8^(2/3).
- 18th December 2002For the curve y = -5/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 19th December 2002A town's population is 35500 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 20th December 2002A, B and C are points on a circle with centre O. Angle AOC is 80°. Work out angle ABC, where B is on the major arc.
- 21st December 20022 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd December 2002A box plot has a minimum of 7 and a maximum of 21. Work out the range.
- 23rd December 2002Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 24th December 2002Expand and simplify (x - 2)(x + 4)(x + 5).
- 25th December 2002A block has volume 115 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 26th December 2002A cone has base radius 4 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 27th December 200222 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th December 2002A box plot has minimum 2, lower quartile 9, median 12, upper quartile 20 and maximum 28. Work out the interquartile range.
- 29th December 2002A meal deal has 5 mains, 6 sides and 6 drinks. How many different meals are possible?
- 30th December 2002Make x the subject of y = 6x^2 - 2.
- 31st December 2002x : y = 2 : 9. Write y in terms of x.