Daily Practice · Higher
December 1952 5-a-day
Printing for a group?
The batch download puts all 5 tiers' December 1952 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1952
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 195227 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd December 195260 fish are marked and released. Later 30 are caught, of which 6 are marked. Estimate the population.
- 3rd December 1952Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 4th December 1952Make x the subject of y = 9x^2 - 7.
- 5th December 1952y is directly proportional to x. When x = 3, y = 12. Work out y when x = 9.
- 6th December 1952In triangle ABC, angle A is 76°, angle B is 73° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 7th December 19521 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th December 1952A cumulative frequency graph is drawn for 224 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 9th December 1952A meal deal has 5 mains, 8 sides and 4 drinks. How many different meals are possible?
- 10th December 1952Factorise x^2 - 144.
- 11th December 1952A town's population is 30000 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 12th December 1952A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 13th December 195218 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th December 1952A box plot has a minimum of 5 and a maximum of 47. Work out the range.
- 15th December 1952A mass is 30 kg, correct to 1 decimal place. Write down the lower bound.
- 16th December 1952A region is defined by y < -5x + 8. Should the boundary line be solid or dashed, and why?
- 17th December 1952A block has volume 145 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 18th December 1952The point (-3, 4) is enlarged by scale factor -1 about the centre (3, 4). Write down the coordinates of the image.
- 19th December 19523 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th December 1952A box plot has minimum 3, lower quartile 11, median 19, upper quartile 29 and maximum 35. Work out the interquartile range.
- 21st December 1952Write 8^-1 as a fraction.
- 22nd December 1952Factorise x^2 + 2x - 15.
- 23rd December 1952x : y = 2 : 5. Write y in terms of x.
- 24th December 1952Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 96 cm^3. Work out the volume of the smaller.
- 25th December 195217 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th December 1952A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 27th December 1952Work out (5 x 10^4) x (6 x 10^-5). Give your answer in standard form.
- 28th December 1952Work out the equation of the line parallel to y = 3x - 7 that passes through (5, 4).
- 29th December 1952A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 30th December 1952A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 10 cm. Work out the other shorter side.
- 31st December 19521 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.