Daily Practice · Higher
August 1955 5-a-day
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The batch download puts all 5 tiers' August 1955 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1955
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1955A cumulative frequency graph is drawn for 56 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd August 1955Work out (56 x 10^8) / (7 x 10^2). Give your answer in standard form.
- 3rd August 1955A region is defined by y < 2x + 9. Should the boundary line be solid or dashed, and why?
- 4th August 1955A town's population is 6000 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 5th August 1955The point (-5, 6) is enlarged by scale factor -3 about the centre (4, 4). Write down the coordinates of the image.
- 6th August 19551 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th August 1955A box plot has a minimum of 17 and a maximum of 59. Work out the range.
- 8th August 1955Write the recurring decimal 0.777... as a fraction in its simplest form.
- 9th August 1955Factorise x^2 + 10x + 25.
- 10th August 1955A block has volume 45 cm^3 and density 3 g/cm^3. Work out its mass.
- 11th August 1955Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 248 cm^3. Work out the volume of the smaller.
- 12th August 195517 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th August 1955A box plot has minimum 11, lower quartile 16, median 23, upper quartile 32 and maximum 36. Work out the interquartile range.
- 14th August 1955Work out 25^(3/2).
- 15th August 1955Work out the equation of the line parallel to y = 4x + 8 that passes through (2, -4).
- 16th August 1955x : y = 4 : 9. Write y in terms of x.
- 17th August 1955A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 18th August 19553 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th August 1955A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 20th August 1955Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
- 21st August 1955A line has equation y = -4x + 4. Work out the gradient of any line perpendicular to it.
- 22nd August 1955A price rises by 10% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 23rd August 1955ABCD is a cyclic quadrilateral. Angle ABC is 67°. Work out angle ADC.
- 24th August 195518 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th August 1955A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 26th August 1955A meal deal has 9 mains, 4 sides and 4 drinks. How many different meals are possible?
- 27th August 1955For the curve y = 20/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 28th August 1955y is inversely proportional to x. When x = 9, y = 24. Work out y when x = 12.
- 29th August 1955A, B and C are points on a circle with centre O. Angle AOC is 112°. Work out angle ABC, where B is on the major arc.
- 30th August 19552 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st August 1955Four classes in order have frequencies 3, 9, 5, 9. Write down the cumulative frequency at the end of the third class.