Daily Practice · Higher
December 1954 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1954 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1954
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1954A block has volume 20 cm^3 and density 4 g/cm^3. Work out its mass.
- 2nd December 1954A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 3rd December 195412 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th December 1954A box plot has minimum 12, lower quartile 17, median 27, upper quartile 29 and maximum 33. Work out the interquartile range.
- 5th December 1954A meal deal has 4 mains, 4 sides and 2 drinks. How many different meals are possible?
- 6th December 1954A region is defined by y < -x + 8. Should the boundary line be solid or dashed, and why?
- 7th December 1954x : y = 4 : 7. Write y in terms of x.
- 8th December 1954The point (6, -2) is enlarged by scale factor -3 about the centre (-4, 0). Write down the coordinates of the image.
- 9th December 19546 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th December 1954A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 11th December 1954A mass is 640 kg, correct to the nearest 10. Write down the lower bound.
- 12th December 1954Factorise x^2 - 4.
- 13th December 1954A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 14th December 1954Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 200 cm^3. Work out the volume of the smaller.
- 15th December 19548 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th December 1954A histogram class is 20 units wide and contains 40 values. Work out the frequency density.
- 17th December 1954Write 5^-3 as a fraction.
- 18th December 1954Work out the equation of the line parallel to y = 5x + 2 that passes through (3, 22).
- 19th December 1954y is inversely proportional to x. When x = 9, y = 12. Work out y when x = 4.
- 20th December 1954A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 21st December 19542 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd December 1954Four classes in order have frequencies 9, 7, 5, 6. Write down the cumulative frequency at the end of the third class.
- 23rd December 1954Work out (2 x 10^4) x (5 x 10^5). Give your answer in standard form.
- 24th December 1954A line has equation y = 5x + 5. Work out the gradient of any line perpendicular to it.
- 25th December 1954y is directly proportional to x^2. When x = 4, y = 64. Work out y when x = 5.
- 26th December 1954ABCD is a cyclic quadrilateral. Angle ABC is 66°. Work out angle ADC.
- 27th December 195416 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th December 195455 newts are marked and released. Later 20 are caught, of which 5 are marked. Estimate the population.
- 29th December 1954Write the recurring decimal 0.4343... as a fraction in its simplest form.
- 30th December 1954For the curve y = 35/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 31st December 1954y is directly proportional to x. When x = 4, y = 28. Work out y when x = 8.