Daily Practice · Higher
December 2000 - Higher 5-a-day
Every Higher sheet published in December 2000, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' December 2000 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 2000
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 200023 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd December 2000A box plot has minimum 6, lower quartile 13, median 21, upper quartile 26 and maximum 28. Work out the interquartile range.
- 3rd December 2000A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 4th December 2000A region is defined by y <= 4x - 7. Should the boundary line be solid or dashed, and why?
- 5th December 2000x : y = 2 : 7. Write y in terms of x.
- 6th December 2000The point (0, -2) is enlarged by scale factor -2 about the centre (3, 4). Write down the coordinates of the image.
- 7th December 20004 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th December 2000A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 9th December 2000Work out (16 x 10^9) / (8 x 10^4). Give your answer in standard form.
- 10th December 2000Factorise x^2 + 12x + 32.
- 11th December 2000A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 12th December 2000Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1024 cm^3. Work out the volume of the smaller.
- 13th December 200027 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th December 2000A histogram class is 5 units wide and contains 2.5 values. Work out the frequency density.
- 15th December 2000Write the recurring decimal 0.111... as a fraction in its simplest form.
- 16th December 2000Work out the equation of the line parallel to y = -5x + 7 that passes through (5, -33).
- 17th December 2000y is inversely proportional to x. When x = 4, y = 15. Work out y when x = 5.
- 18th December 2000A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 19th December 20005 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th December 2000Four classes in order have frequencies 8, 3, 11, 6. Write down the cumulative frequency at the end of the third class.
- 21st December 2000Work out 16^(3/2).
- 22nd December 2000A line has equation y = 4x + 4. Work out the gradient of any line perpendicular to it.
- 23rd December 2000y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 9.
- 24th December 2000ABCD is a cyclic quadrilateral. Angle ABC is 55°. Work out angle ADC.
- 25th December 20007 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th December 200045 newts are marked and released. Later 70 are caught, of which 7 are marked. Estimate the population.
- 27th December 2000Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 28th December 2000For the curve y = 20/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 29th December 2000y is directly proportional to x. When x = 5, y = 45. Work out y when x = 13.
- 30th December 2000A, B and C are points on a circle with centre O. Angle AOC is 150°. Work out angle ABC, where B is on the major arc.
- 31st December 20002 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.