Daily Practice · Higher
August 1968 5-a-day
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The batch download puts all 5 tiers' August 1968 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1968
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1968A town's population is 12500 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 2nd August 1968A right-angled triangle has sides 20 cm, 21 cm and 29 cm. Work out the angle opposite the 20 cm side, to 1 decimal place.
- 3rd August 196824 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th August 1968A box plot has a minimum of 4 and a maximum of 37. Work out the range.
- 5th August 1968Work out (20 x 10^11) / (5 x 10^4). Give your answer in standard form.
- 6th August 1968A region is defined by y < -x + 4. Should the boundary line be solid or dashed, and why?
- 7th August 1968A block has volume 70 cm^3 and density 4 g/cm^3. Work out its mass.
- 8th August 1968The point (5, -6) is enlarged by scale factor -3 about the centre (0, 1). Write down the coordinates of the image.
- 9th August 19684 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th August 1968A box plot has minimum 4, lower quartile 12, median 18, upper quartile 27 and maximum 33. Work out the interquartile range.
- 11th August 1968Write the recurring decimal 0.888... as a fraction in its simplest form.
- 12th August 1968Factorise x^2 + 15x + 54.
- 13th August 1968x : y = 2 : 9. Write y in terms of x.
- 14th August 1968Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2112 cm^3. Work out the volume of the smaller.
- 15th August 196813 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th August 1968A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 17th August 1968Work out 27^(2/3).
- 18th August 1968Work out the equation of the line parallel to y = -4x + 6 that passes through (2, -16).
- 19th August 1968A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 20th August 1968A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 21st August 19687 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd August 1968A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 23rd August 1968Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 24th August 1968A line has equation y = 2x + 7. Work out the gradient of any line perpendicular to it.
- 25th August 1968y is inversely proportional to x. When x = 8, y = 20. Work out y when x = 5.
- 26th August 1968ABCD is a cyclic quadrilateral. Angle ABC is 99°. Work out angle ADC.
- 27th August 196817 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th August 1968Four classes in order have frequencies 8, 11, 5, 4. Write down the cumulative frequency at the end of the third class.
- 29th August 1968A meal deal has 4 mains, 3 sides and 6 drinks. How many different meals are possible?
- 30th August 1968For the curve y = -40/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 31st August 1968y is directly proportional to x^2. When x = 5, y = 150. Work out y when x = 2.