Daily Practice · Higher
December 1969 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1969 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1969
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1969The point (6, -3) is enlarged by scale factor -2 about the centre (2, -1). Write down the coordinates of the image.
- 2nd December 19693 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd December 1969Four classes in order have frequencies 5, 7, 4, 3. Write down the cumulative frequency at the end of the third class.
- 4th December 1969A meal deal has 6 mains, 6 sides and 2 drinks. How many different meals are possible?
- 5th December 1969Factorise x^2 + 9x + 18.
- 6th December 1969y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 9.
- 7th December 1969Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 136 cm^3. Work out the volume of the smaller.
- 8th December 196911 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th December 196940 newts are marked and released. Later 30 are caught, of which 5 are marked. Estimate the population.
- 10th December 1969A mass is 29 kg, correct to the nearest whole number. Write down the lower bound.
- 11th December 1969Work out the equation of the line parallel to y = -x + 7 that passes through (3, -10).
- 12th December 1969y is directly proportional to x. When x = 6, y = 72. Work out y when x = 14.
- 13th December 1969A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 14th December 19694 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th December 1969A cumulative frequency graph is drawn for 140 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 16th December 1969Write 6^-3 as a fraction.
- 17th December 1969A line has equation y = -3x + 8. Work out the gradient of any line perpendicular to it.
- 18th December 1969A town's population is 11000 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
- 19th December 1969ABCD is a cyclic quadrilateral. Angle ABC is 77°. Work out angle ADC.
- 20th December 196927 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st December 1969A box plot has a minimum of 11 and a maximum of 39. Work out the range.
- 22nd December 1969Work out (8 x 10^6) x (6 x 10^4). Give your answer in standard form.
- 23rd December 1969For the curve y = -5/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 24th December 1969A block has volume 20 cm^3 and density 4 g/cm^3. Work out its mass.
- 25th December 1969A, B and C are points on a circle with centre O. Angle AOC is 134°. Work out angle ABC, where B is on the major arc.
- 26th December 19695 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th December 1969A box plot has minimum 13, lower quartile 16, median 21, upper quartile 24 and maximum 26. Work out the interquartile range.
- 28th December 1969Write the recurring decimal 0.1919... as a fraction in its simplest form.
- 29th December 1969Expand and simplify (x - 2)(x + 2)(x + 2).
- 30th December 1969x : y = 5 : 7. Write y in terms of x.
- 31st December 1969A cone has base radius 3 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.