Daily Practice · Higher
June 1967 5-a-day
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The batch download puts all 5 tiers' June 1967 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1967
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1967A region is defined by y < -5x + 7. Should the boundary line be solid or dashed, and why?
- 2nd June 1967y is directly proportional to x. When x = 4, y = 40. Work out y when x = 15.
- 3rd June 1967The point (-2, -5) is enlarged by scale factor -3 about the centre (-3, -4). Write down the coordinates of the image.
- 4th June 19672 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th June 1967A cumulative frequency graph is drawn for 212 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 6th June 1967Write 8^-1 as a fraction.
- 7th June 1967Factorise x^2 - 10x + 24.
- 8th June 1967A town's population is 35000 and grows by 5% each year. Work out the population after 5 years, to the nearest whole number.
- 9th June 1967Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 384 cm^3. Work out the volume of the smaller.
- 10th June 196722 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th June 1967A box plot has a minimum of 2 and a maximum of 20. Work out the range.
- 12th June 1967Work out (2 x 10^5) x (7 x 10^-6). Give your answer in standard form.
- 13th June 1967Work out the equation of the line parallel to y = 5x - 2 that passes through (3, 18).
- 14th June 1967A block has volume 65 cm^3 and density 4 g/cm^3. Work out its mass.
- 15th June 1967A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
- 16th June 19673 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th June 1967A box plot has minimum 7, lower quartile 14, median 16, upper quartile 24 and maximum 28. Work out the interquartile range.
- 18th June 1967Write the recurring decimal 0.8484... as a fraction in its simplest form.
- 19th June 1967A line has equation y = 4x + 9. Work out the gradient of any line perpendicular to it.
- 20th June 1967x : y = 4 : 7. Write y in terms of x.
- 21st June 1967ABCD is a cyclic quadrilateral. Angle ABC is 102°. Work out angle ADC.
- 22nd June 196719 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd June 1967A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 24th June 1967A bill is £576 including VAT at 20%. Work out the amount before VAT.
- 25th June 1967For the curve y = 3/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 26th June 1967A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 27th June 1967A, B and C are points on a circle with centre O. Angle AOC is 106°. Work out angle ABC, where B is on the major arc.
- 28th June 19671 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th June 1967A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 30th June 1967A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?