Daily Practice · Higher
June 1962 5-a-day
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The batch download puts all 5 tiers' June 1962 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1962
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1962A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 2nd June 1962A bill is £936 including VAT at 20%. Work out the amount before VAT.
- 3rd June 1962A region is defined by y <= 3x + 3. Should the boundary line be solid or dashed, and why?
- 4th June 1962A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 5th June 1962The point (1, 6) is enlarged by scale factor -1 about the centre (-2, 3). Write down the coordinates of the image.
- 6th June 19626 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th June 1962A histogram class is 5 units wide and contains 10 values. Work out the frequency density.
- 8th June 1962A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 9th June 1962Factorise x^2 - 16.
- 10th June 1962y is inversely proportional to x. When x = 2, y = 16. Work out y when x = 4.
- 11th June 1962Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2048 cm^3. Work out the volume of the smaller.
- 12th June 196225 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th June 1962Four classes in order have frequencies 7, 11, 7, 7. Write down the cumulative frequency at the end of the third class.
- 14th June 1962Work out (6 x 10^10) / (2 x 10^3). Give your answer in standard form.
- 15th June 1962Work out the equation of the line parallel to y = -2x - 2 that passes through (4, -6).
- 16th June 1962y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 9.
- 17th June 1962A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
- 18th June 19621 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th June 196220 beetles are marked and released. Later 35 are caught, of which 5 are marked. Estimate the population.
- 20th June 1962Write the recurring decimal 0.555... as a fraction in its simplest form.
- 21st June 1962A line has equation y = -3x + 9. Work out the gradient of any line perpendicular to it.
- 22nd June 1962y is directly proportional to x. When x = 6, y = 36. Work out y when x = 5.
- 23rd June 1962ABCD is a cyclic quadrilateral. Angle ABC is 106°. Work out angle ADC.
- 24th June 196216 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th June 1962A cumulative frequency graph is drawn for 80 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 26th June 1962Work out 25^(3/2).
- 27th June 1962For the curve y = -70/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 28th June 1962A town's population is 29000 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 29th June 1962A, B and C are points on a circle with centre O. Angle AOC is 176°. Work out angle ABC, where B is on the major arc.
- 30th June 19625 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.