Daily Practice · Higher
October 1953 5-a-day
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The batch download puts all 5 tiers' October 1953 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1953
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1953A town's population is 8500 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 2nd October 1953The point (1, -2) is enlarged by scale factor -1 about the centre (-2, 3). Write down the coordinates of the image.
- 3rd October 19538 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th October 1953A box plot has a minimum of 14 and a maximum of 42. Work out the range.
- 5th October 1953A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 6th October 1953Factorise x^2 - 6x - 27.
- 7th October 1953A block has volume 10 cm^3 and density 4 g/cm^3. Work out its mass.
- 8th October 1953Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1152 cm^3. Work out the volume of the smaller.
- 9th October 195330 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th October 1953A box plot has minimum 15, lower quartile 21, median 31, upper quartile 33 and maximum 35. Work out the interquartile range.
- 11th October 1953Work out (24 x 10^12) / (4 x 10^5). Give your answer in standard form.
- 12th October 1953Work out the equation of the line parallel to y = -5x + 9 that passes through (3, -20).
- 13th October 1953x : y = 5 : 8. Write y in terms of x.
- 14th October 1953A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
- 15th October 19537 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th October 1953A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 17th October 1953Write the recurring decimal 0.111... as a fraction in its simplest form.
- 18th October 1953A line has equation y = -2x + 9. Work out the gradient of any line perpendicular to it.
- 19th October 1953A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 20th October 1953ABCD is a cyclic quadrilateral. Angle ABC is 105°. Work out angle ADC.
- 21st October 195319 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd October 1953A histogram class is 2 units wide and contains 6 values. Work out the frequency density.
- 23rd October 1953Work out 125^(2/3).
- 24th October 1953For the curve y = -7/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 25th October 1953y is inversely proportional to x. When x = 2, y = 16. Work out y when x = 4.
- 26th October 1953A, B and C are points on a circle with centre O. Angle AOC is 92°. Work out angle ABC, where B is on the major arc.
- 27th October 19532 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th October 1953Four classes in order have frequencies 7, 11, 3, 4. Write down the cumulative frequency at the end of the third class.
- 29th October 1953Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 30th October 1953Expand and simplify (x - 3)(x - 3)(x + 1).
- 31st October 1953y is directly proportional to x^2. When x = 6, y = 72. Work out y when x = 8.