Daily Practice · Higher
October 1956 5-a-day
Printing for a group?
The batch download puts all 5 tiers' October 1956 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1956
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1956A mass is 9 kg, correct to the nearest whole number. Write down the lower bound.
- 2nd October 1956Factorise x^2 - 36.
- 3rd October 1956A block has volume 105 cm^3 and density 4 g/cm^3. Work out its mass.
- 4th October 1956A 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.
- 5th October 195623 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th October 1956A box plot has minimum 11, lower quartile 21, median 23, upper quartile 29 and maximum 31. Work out the interquartile range.
- 7th October 1956Write 2^-1 as a fraction.
- 8th October 1956A region is defined by y < -2x - 3. Should the boundary line be solid or dashed, and why?
- 9th October 1956x : y = 2 : 9. Write y in terms of x.
- 10th October 1956The point (1, -6) is enlarged by scale factor -1 about the centre (0, -3). Write down the coordinates of the image.
- 11th October 19561 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th October 1956A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 13th October 1956Work out (6 x 10^3) x (4 x 10^-5). Give your answer in standard form.
- 14th October 1956Factorise x^2 + 4x - 32.
- 15th October 1956A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 16th October 1956Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 224 cm^3. Work out the volume of the smaller.
- 17th October 195626 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th October 1956A histogram class is 10 units wide and contains 30 values. Work out the frequency density.
- 19th October 1956Write the recurring decimal 0.3838... as a fraction in its simplest form.
- 20th October 1956Work out the equation of the line parallel to y = -5x - 4 that passes through (5, -36).
- 21st October 1956y is inversely proportional to x. When x = 8, y = 10. Work out y when x = 2.
- 22nd October 1956A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 23rd October 19563 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th October 1956Four classes in order have frequencies 7, 12, 4, 4. Write down the cumulative frequency at the end of the third class.
- 25th October 1956A bill is £648 including VAT at 20%. Work out the amount before VAT.
- 26th October 1956A line has equation y = -3x + 5. Work out the gradient of any line perpendicular to it.
- 27th October 1956y is directly proportional to x^2. When x = 4, y = 80. Work out y when x = 6.
- 28th October 1956ABCD is a cyclic quadrilateral. Angle ABC is 76°. Work out angle ADC.
- 29th October 195623 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th October 195635 beetles are marked and released. Later 66 are caught, of which 6 are marked. Estimate the population.
- 31st October 1956A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?