Daily Practice · Higher
December 1984 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1984 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1984
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 198432 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd December 1984A box plot has a minimum of 8 and a maximum of 31. Work out the range.
- 3rd December 1984A meal deal has 7 mains, 3 sides and 4 drinks. How many different meals are possible?
- 4th December 1984Work out the equation of the line parallel to y = 2x - 9 that passes through (1, 5).
- 5th December 1984A block has volume 50 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 6th December 1984A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 7th December 19841 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th December 1984A box plot has minimum 6, lower quartile 9, median 13, upper quartile 22 and maximum 28. Work out the interquartile range.
- 9th December 1984A mass is 24 kg, correct to the nearest whole number. Write down the lower bound.
- 10th December 1984A line has equation y = -5x + 8. Work out the gradient of any line perpendicular to it.
- 11th December 1984x : y = 2 : 9. Write y in terms of x.
- 12th December 1984ABCD is a cyclic quadrilateral. Angle ABC is 56°. Work out angle ADC.
- 13th December 198420 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th December 1984A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 15th December 1984Write 6^-1 as a fraction.
- 16th December 1984For the curve y = -36/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 17th December 1984A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 18th December 1984A, B and C are points on a circle with centre O. Angle AOC is 48°. Work out angle ABC, where B is on the major arc.
- 19th December 19843 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th December 1984A histogram class is 4 units wide and contains 6 values. Work out the frequency density.
- 21st December 1984Work out (8 x 10^4) x (2 x 10^5). Give your answer in standard form.
- 22nd December 1984Expand and simplify (x - 4)(x - 1)(x - 2).
- 23rd December 1984y is inversely proportional to x. When x = 6, y = 24. Work out y when x = 12.
- 24th December 1984A cone has base radius 10 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 25th December 198425 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th December 1984Four classes in order have frequencies 8, 7, 5, 3. Write down the cumulative frequency at the end of the third class.
- 27th December 1984Write the recurring decimal 0.7575... as a fraction in its simplest form.
- 28th December 1984Make x the subject of y = 5x^2 - 4.
- 29th December 1984y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 3.
- 30th December 1984In triangle ABC, angle A is 46°, angle B is 51° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 31st December 19844 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.