Daily Practice · Higher
December 1982 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1982 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1982
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1982Four classes in order have frequencies 6, 9, 4, 6. Write down the cumulative frequency at the end of the third class.
- 2nd December 1982Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 3rd December 1982A region is defined by y <= 5x - 3. Should the boundary line be solid or dashed, and why?
- 4th December 1982y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 4.
- 5th December 1982The point (-5, 0) is enlarged by scale factor -2 about the centre (-1, -3). Write down the coordinates of the image.
- 6th December 19824 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th December 198240 beetles are marked and released. Later 27 are caught, of which 9 are marked. Estimate the population.
- 8th December 1982A meal deal has 9 mains, 4 sides and 4 drinks. How many different meals are possible?
- 9th December 1982Factorise x^2 - 4x - 21.
- 10th December 1982y is directly proportional to x. When x = 9, y = 90. Work out y when x = 5.
- 11th December 1982Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 832 cm^3. Work out the volume of the smaller.
- 12th December 198226 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th December 1982A cumulative frequency graph is drawn for 96 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 14th December 1982A mass is 27.1 kg, correct to 1 decimal place. Write down the upper bound.
- 15th December 1982Work out the equation of the line parallel to y = 4x + 8 that passes through (6, 31).
- 16th December 1982A town's population is 8500 and grows by 3% each year. Work out the population after 3 years, to the nearest whole number.
- 17th December 1982A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 18th December 19826 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th December 1982A box plot has a minimum of 8 and a maximum of 38. Work out the range.
- 20th December 1982Write 5^-3 as a fraction.
- 21st December 1982A line has equation y = 5x + 4. Work out the gradient of any line perpendicular to it.
- 22nd December 1982A block has volume 90 cm^3 and density 8 g/cm^3. Work out its mass.
- 23rd December 1982ABCD is a cyclic quadrilateral. Angle ABC is 81°. Work out angle ADC.
- 24th December 198227 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th December 1982A box plot has minimum 14, lower quartile 24, median 27, upper quartile 34 and maximum 42. Work out the interquartile range.
- 26th December 1982Work out (7 x 10^8) x (5 x 10^-5). Give your answer in standard form.
- 27th December 1982For the curve y = 40/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 28th December 1982x : y = 4 : 5. Write y in terms of x.
- 29th December 1982A, B and C are points on a circle with centre O. Angle AOC is 174°. Work out angle ABC, where B is on the major arc.
- 30th December 19823 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st December 1982A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.