Daily Practice · Higher
December 1972 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1972 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1972
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1972Factorise x^2 - 121.
- 2nd December 1972y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 2.
- 3rd December 1972A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 4th December 197224 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th December 197245 newts are marked and released. Later 72 are caught, of which 6 are marked. Estimate the population.
- 6th December 1972Work out (45 x 10^8) / (5 x 10^2). Give your answer in standard form.
- 7th December 1972A region is defined by y < 4x - 9. Should the boundary line be solid or dashed, and why?
- 8th December 1972y is directly proportional to x. When x = 3, y = 30. Work out y when x = 14.
- 9th December 1972The point (6, -2) is enlarged by scale factor -3 about the centre (4, 3). Write down the coordinates of the image.
- 10th December 19723 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th December 1972A cumulative frequency graph is drawn for 172 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th December 1972Write the recurring decimal 0.333... as a fraction in its simplest form.
- 13th December 1972Factorise x^2 + x - 20.
- 14th December 1972A town's population is 38500 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 15th December 1972Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 768 cm^3. Work out the volume of the smaller.
- 16th December 197221 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 17th December 1972A box plot has a minimum of 12 and a maximum of 48. Work out the range.
- 18th December 1972Work out 25^(3/2).
- 19th December 1972Work out the equation of the line parallel to y = -4x + 1 that passes through (6, -16).
- 20th December 1972A block has volume 70 cm^3 and density 8 g/cm^3. Work out its mass.
- 21st December 1972A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 22nd December 19724 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd December 1972A box plot has minimum 6, lower quartile 11, median 21, upper quartile 28 and maximum 32. Work out the interquartile range.
- 24th December 1972Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 25th December 1972A line has equation y = -4x + 4. Work out the gradient of any line perpendicular to it.
- 26th December 1972x : y = 3 : 8. Write y in terms of x.
- 27th December 1972ABCD is a cyclic quadrilateral. Angle ABC is 87°. Work out angle ADC.
- 28th December 197220 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th December 1972A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 30th December 1972A meal deal has 4 mains, 5 sides and 6 drinks. How many different meals are possible?
- 31st December 1972For the curve y = -7/x, work out y when x = -1, and write down the equation of its vertical asymptote.