Daily Practice · Higher
September 1955 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1955 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1955
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1955A mass is 17.8 kg, correct to 1 decimal place. Write down the lower bound.
- 2nd September 1955Expand and simplify (x - 5)(x - 4)(x + 4).
- 3rd September 1955y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 5.
- 4th September 1955A cone has base radius 10 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 5th September 195517 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th September 195520 voles are marked and released. Later 44 are caught, of which 4 are marked. Estimate the population.
- 7th September 1955Write 5^-2 as a fraction.
- 8th September 1955Make x the subject of y = 6x^2 - 11.
- 9th September 1955y is directly proportional to x. When x = 5, y = 15. Work out y when x = 15.
- 10th September 1955In triangle ABC, angle A is 31°, angle B is 53° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
- 11th September 19555 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th September 1955A cumulative frequency graph is drawn for 148 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th September 1955Work out (9 x 10^3) x (5 x 10^4). Give your answer in standard form.
- 14th September 1955Factorise x^2 - 100.
- 15th September 1955A town's population is 13500 and grows by 5% each year. Work out the population after 2 years, to the nearest whole number.
- 16th September 1955A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 17th September 195525 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th September 1955A box plot has a minimum of 15 and a maximum of 37. Work out the range.
- 19th September 1955Write the recurring decimal 0.1111... as a fraction in its simplest form.
- 20th September 1955A region is defined by y <= -2x - 2. Should the boundary line be solid or dashed, and why?
- 21st September 1955A block has volume 70 cm^3 and density 8 g/cm^3. Work out its mass.
- 22nd September 1955The point (1, -6) is enlarged by scale factor -3 about the centre (4, -3). Write down the coordinates of the image.
- 23rd September 19553 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th September 1955A box plot has minimum 1, lower quartile 7, median 15, upper quartile 19 and maximum 25. Work out the interquartile range.
- 25th September 1955A bill is £456 including VAT at 20%. Work out the amount before VAT.
- 26th September 1955Factorise x^2 - 2x - 48.
- 27th September 1955x : y = 4 : 7. Write y in terms of x.
- 28th September 1955Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 24 cm^3. Work out the volume of the smaller.
- 29th September 195528 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th September 1955A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.