Daily Practice · Higher
May 1968 5-a-day
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The batch download puts all 5 tiers' May 1968 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1968
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1968Write 4^-1 as a fraction.
- 2nd May 1968A region is defined by y < 3x - 2. Should the boundary line be solid or dashed, and why?
- 3rd May 1968y is directly proportional to x. When x = 4, y = 40. Work out y when x = 15.
- 4th May 1968The point (5, 6) is enlarged by scale factor -1 about the centre (1, -3). Write down the coordinates of the image.
- 5th May 19681 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th May 1968A cumulative frequency graph is drawn for 120 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th May 1968Work out (4 x 10^4) x (9 x 10^3). Give your answer in standard form.
- 8th May 1968Factorise x^2 - 5x + 4.
- 9th May 1968A town's population is 40000 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 10th May 1968Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 32 cm^3. Work out the volume of the smaller.
- 11th May 196821 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th May 1968A box plot has a minimum of 3 and a maximum of 16. Work out the range.
- 13th May 1968Write the recurring decimal 0.4343... as a fraction in its simplest form.
- 14th May 1968Work out the equation of the line parallel to y = 3x - 7 that passes through (4, 9).
- 15th May 1968A block has volume 75 cm^3 and density 8 g/cm^3. Work out its mass.
- 16th May 1968A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 17th May 19687 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th May 1968A box plot has minimum 9, lower quartile 11, median 21, upper quartile 27 and maximum 29. Work out the interquartile range.
- 19th May 1968A bill is £480 including VAT at 20%. Work out the amount before VAT.
- 20th May 1968A line has equation y = 4x + 6. Work out the gradient of any line perpendicular to it.
- 21st May 1968x : y = 3 : 4. Write y in terms of x.
- 22nd May 1968ABCD is a cyclic quadrilateral. Angle ABC is 80°. Work out angle ADC.
- 23rd May 196826 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th May 1968A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 25th May 1968A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 26th May 1968For the curve y = 50/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 27th May 1968A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 28th May 1968A, B and C are points on a circle with centre O. Angle AOC is 136°. Work out angle ABC, where B is on the major arc.
- 29th May 19683 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th May 1968A histogram class is 20 units wide and contains 10 values. Work out the frequency density.
- 31st May 1968Work out (35 x 10^8) / (5 x 10^4). Give your answer in standard form.