Daily Practice · Higher
December 1989 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1989 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1989
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1989Work out (36 x 10^10) / (9 x 10^3). Give your answer in standard form.
- 2nd December 1989Work out the equation of the line parallel to y = x + 2 that passes through (2, -9).
- 3rd December 1989y is inversely proportional to x. When x = 8, y = 60. Work out y when x = 12.
- 4th December 1989A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 5th December 19896 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th December 1989Four classes in order have frequencies 5, 9, 12, 3. Write down the cumulative frequency at the end of the third class.
- 7th December 1989Write the recurring decimal 0.111... as a fraction in its simplest form.
- 8th December 1989A line has equation y = -3x + 4. Work out the gradient of any line perpendicular to it.
- 9th December 1989y is directly proportional to x^2. When x = 4, y = 48. Work out y when x = 3.
- 10th December 1989ABCD is a cyclic quadrilateral. Angle ABC is 73°. Work out angle ADC.
- 11th December 198923 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th December 198910 fish are marked and released. Later 42 are caught, of which 7 are marked. Estimate the population.
- 13th December 1989Work out 100^(3/2).
- 14th December 1989For the curve y = -30/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 15th December 1989y is directly proportional to x. When x = 6, y = 12. Work out y when x = 12.
- 16th December 1989A, B and C are points on a circle with centre O. Angle AOC is 82°. Work out angle ABC, where B is on the major arc.
- 17th December 19891 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th December 1989A cumulative frequency graph is drawn for 120 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 19th December 1989Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 20th December 1989Expand and simplify (x - 5)(x - 1)(x + 5).
- 21st December 1989A town's population is 7500 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 22nd December 1989A cone has base radius 8 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 23rd December 198928 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th December 1989A box plot has a minimum of 15 and a maximum of 51. Work out the range.
- 25th December 1989A meal deal has 8 mains, 6 sides and 5 drinks. How many different meals are possible?
- 26th December 1989Make x the subject of y = 2x^2 - 4.
- 27th December 1989A block has volume 200 cm^3 and density 4 g/cm^3. Work out its mass.
- 28th December 1989In triangle ABC, angle A is 74°, angle B is 71° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 29th December 19892 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th December 1989A box plot has minimum 15, lower quartile 19, median 22, upper quartile 26 and maximum 35. Work out the interquartile range.
- 31st December 1989A mass is 24.2 kg, correct to 1 decimal place. Write down the lower bound.