Daily Practice · Higher
July 1965 5-a-day
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The batch download puts all 5 tiers' July 1965 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1965
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1965ABCD is a cyclic quadrilateral. Angle ABC is 83°. Work out angle ADC.
- 2nd July 196519 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd July 1965A box plot has minimum 3, lower quartile 10, median 20, upper quartile 25 and maximum 31. Work out the interquartile range.
- 4th July 1965A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 5th July 1965For the curve y = 4/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 6th July 1965x : y = 3 : 8. Write y in terms of x.
- 7th July 1965A, B and C are points on a circle with centre O. Angle AOC is 44°. Work out angle ABC, where B is on the major arc.
- 8th July 19655 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th July 1965A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 10th July 1965Work out (16 x 10^11) / (4 x 10^4). Give your answer in standard form.
- 11th July 1965Expand and simplify (x - 4)(x - 3)(x + 5).
- 12th July 1965A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 13th July 1965A cone has base radius 6 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 14th July 196526 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th July 1965A histogram class is 10 units wide and contains 5 values. Work out the frequency density.
- 16th July 1965Write the recurring decimal 0.333... as a fraction in its simplest form.
- 17th July 1965Make x the subject of y = 2x^2 - 4.
- 18th July 1965y is inversely proportional to x. When x = 9, y = 30. Work out y when x = 6.
- 19th July 1965In triangle ABC, angle A is 70°, angle B is 35° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 20th July 19653 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st July 1965Four classes in order have frequencies 11, 7, 3, 11. Write down the cumulative frequency at the end of the third class.
- 22nd July 1965Work out 16^(3/2).
- 23rd July 1965Factorise x^2 - 64.
- 24th July 1965y is directly proportional to x^2. When x = 3, y = 72. Work out y when x = 6.
- 25th July 1965A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 26th July 196529 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th July 196560 newts are marked and released. Later 21 are caught, of which 7 are marked. Estimate the population.
- 28th July 1965Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
- 29th July 1965A region is defined by y < 2x - 8. Should the boundary line be solid or dashed, and why?
- 30th July 1965y is directly proportional to x. When x = 9, y = 63. Work out y when x = 10.
- 31st July 1965The point (0, 1) is enlarged by scale factor -1 about the centre (4, 2). Write down the coordinates of the image.