Daily Practice · Higher
October 1954 5-a-day
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The batch download puts all 5 tiers' October 1954 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1954
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1954Expand and simplify (x + 2)(x + 5)(x - 5).
- 2nd October 1954y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 5.
- 3rd October 1954A cone has base radius 9 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 4th October 195416 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 5th October 195430 fish are marked and released. Later 30 are caught, of which 6 are marked. Estimate the population.
- 6th October 1954A mass is 610 kg, correct to the nearest 10. Write down the upper bound.
- 7th October 1954Make x the subject of y = 3x^2 - 8.
- 8th October 1954y is directly proportional to x. When x = 6, y = 72. Work out y when x = 3.
- 9th October 1954In triangle ABC, angle A is 34°, angle B is 37° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 10th October 19544 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 11th October 1954A cumulative frequency graph is drawn for 48 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 12th October 1954Write 2^-2 as a fraction.
- 13th October 1954Factorise x^2 - 49.
- 14th October 1954A town's population is 18000 and grows by 3% each year. Work out the population after 2 years, to the nearest whole number.
- 15th October 1954A 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.
- 16th October 195417 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 October 1954A box plot has a minimum of 12 and a maximum of 59. Work out the range.
- 18th October 1954Work out (7 x 10^6) x (2 x 10^-4). Give your answer in standard form.
- 19th October 1954A region is defined by y <= 4x - 2. Should the boundary line be solid or dashed, and why?
- 20th October 1954A block has volume 80 cm^3 and density 4 g/cm^3. Work out its mass.
- 21st October 1954The point (5, 3) is enlarged by scale factor -3 about the centre (4, -3). Write down the coordinates of the image.
- 22nd October 19543 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 23rd October 1954A box plot has minimum 4, lower quartile 8, median 14, upper quartile 19 and maximum 22. Work out the interquartile range.
- 24th October 1954Write the recurring decimal 0.8888... as a fraction in its simplest form.
- 25th October 1954Factorise x^2 - 13x + 40.
- 26th October 1954x : y = 7 : 9. Write y in terms of x.
- 27th October 1954Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 459 cm^3. Work out the volume of the smaller.
- 28th October 195430 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 29th October 1954A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 30th October 1954A bill is £384 including VAT at 20%. Work out the amount before VAT.
- 31st October 1954Work out the equation of the line parallel to y = -x - 9 that passes through (1, 11).