Daily Practice · Higher
December 1999 - Higher 5-a-day
Every Higher sheet published in December 1999, with answers. Grades 6-7 - Higher-tier method and manipulation.
Printing for a group?
The batch download puts all 5 tiers' December 1999 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1999
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 19995 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd December 1999A histogram class is 4 units wide and contains 10 values. Work out the frequency density.
- 3rd December 1999A meal deal has 8 mains, 9 sides and 3 drinks. How many different meals are possible?
- 4th December 1999A line has equation y = 2x + 4. Work out the gradient of any line perpendicular to it.
- 5th December 1999y is inversely proportional to x. When x = 3, y = 6. Work out y when x = 6.
- 6th December 1999ABCD is a cyclic quadrilateral. Angle ABC is 52°. Work out angle ADC.
- 7th December 199912 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th December 1999Four classes in order have frequencies 4, 7, 6, 12. Write down the cumulative frequency at the end of the third class.
- 9th December 1999A mass is 54 kg, correct to the nearest whole number. Write down the lower bound.
- 10th December 1999For the curve y = 20/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 11th December 1999y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 5.
- 12th December 1999A, B and C are points on a circle with centre O. Angle AOC is 76°. Work out angle ABC, where B is on the major arc.
- 13th December 19992 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th December 199920 beetles are marked and released. Later 36 are caught, of which 3 are marked. Estimate the population.
- 15th December 1999Write 4^-3 as a fraction.
- 16th December 1999Expand and simplify (x - 1)(x + 2)(x + 3).
- 17th December 1999y is directly proportional to x. When x = 6, y = 36. Work out y when x = 12.
- 18th December 1999A cone has base radius 2 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 19th December 199913 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th December 1999A cumulative frequency graph is drawn for 204 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 21st December 1999Work out (9 x 10^8) x (9 x 10^-5). Give your answer in standard form.
- 22nd December 1999Make x the subject of y = 7x^2 - 2.
- 23rd December 1999A town's population is 33000 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 24th December 1999In triangle ABC, angle A is 77°, angle B is 69° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 25th December 19991 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th December 1999A box plot has a minimum of 9 and a maximum of 28. Work out the range.
- 27th December 1999Write the recurring decimal 0.3131... as a fraction in its simplest form.
- 28th December 1999Factorise x^2 - 121.
- 29th December 1999A block has volume 175 cm^3 and density 11 g/cm^3. Work out its mass.
- 30th December 1999A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 31st December 199920 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.