Daily Practice · Higher
March 2000 - Higher 5-a-day
Every Higher sheet published in March 2000, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' March 2000 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2000
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2000Four classes in order have frequencies 10, 3, 7, 4. Write down the cumulative frequency at the end of the third class.
- 2nd March 2000Write the recurring decimal 0.9393... as a fraction in its simplest form.
- 3rd March 2000Work out the equation of the line parallel to y = -3x - 9 that passes through (6, -25).
- 4th March 2000y is directly proportional to x^2. When x = 6, y = 180. Work out y when x = 9.
- 5th March 2000A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
- 6th March 20005 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th March 200040 beetles are marked and released. Later 99 are caught, of which 9 are marked. Estimate the population.
- 8th March 2000A bill is £504 including VAT at 20%. Work out the amount before VAT.
- 9th March 2000A line has equation y = 2x + 1. Work out the gradient of any line perpendicular to it.
- 10th March 2000y is directly proportional to x. When x = 7, y = 77. Work out y when x = 10.
- 11th March 2000ABCD is a cyclic quadrilateral. Angle ABC is 77°. Work out angle ADC.
- 12th March 200021 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th March 2000A cumulative frequency graph is drawn for 44 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 14th March 2000A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 15th March 2000For the curve y = 6/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 16th March 2000A town's population is 29500 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
- 17th March 2000A, B and C are points on a circle with centre O. Angle AOC is 126°. Work out angle ABC, where B is on the major arc.
- 18th March 20003 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th March 2000A box plot has a minimum of 12 and a maximum of 56. Work out the range.
- 20th March 2000Work out (8 x 10^10) / (2 x 10^3). Give your answer in standard form.
- 21st March 2000Expand and simplify (x + 2)(x + 2)(x + 4).
- 22nd March 2000A block has volume 10 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 23rd March 2000A cone has base radius 9 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 24th March 200027 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th March 2000A box plot has minimum 4, lower quartile 9, median 14, upper quartile 16 and maximum 22. Work out the interquartile range.
- 26th March 2000Write the recurring decimal 0.777... as a fraction in its simplest form.
- 27th March 2000Make x the subject of y = 3x^2 - 8.
- 28th March 2000x : y = 2 : 7. Write y in terms of x.
- 29th March 2000In triangle ABC, angle A is 71°, angle B is 70° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 30th March 20005 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st March 2000A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.