Daily Practice · Higher
June 1966 5-a-day
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The batch download puts all 5 tiers' June 1966 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1966
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1966A block has volume 75 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 2nd June 1966ABCD is a cyclic quadrilateral. Angle ABC is 56°. Work out angle ADC.
- 3rd June 196628 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th June 1966A box plot has minimum 7, lower quartile 12, median 14, upper quartile 24 and maximum 27. Work out the interquartile range.
- 5th June 1966Work out (9 x 10^7) / (3 x 10^2). Give your answer in standard form.
- 6th June 1966For the curve y = 44/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 7th June 1966x : y = 4 : 7. Write y in terms of x.
- 8th June 1966A, B and C are points on a circle with centre O. Angle AOC is 88°. Work out angle ABC, where B is on the major arc.
- 9th June 19661 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th June 1966A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 11th June 1966Write the recurring decimal 0.666... as a fraction in its simplest form.
- 12th June 1966Expand and simplify (x - 2)(x - 3)(x + 5).
- 13th June 1966A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 14th June 1966A cone has base radius 5 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 15th June 196628 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th June 1966A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 17th June 1966Work out 8^(2/3).
- 18th June 1966Make x the subject of y = 2x^2 - 9.
- 19th June 1966y is inversely proportional to x. When x = 5, y = 48. Work out y when x = 12.
- 20th June 1966In triangle ABC, angle A is 59°, angle B is 40° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 21st June 19663 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd June 1966Four classes in order have frequencies 6, 3, 10, 8. Write down the cumulative frequency at the end of the third class.
- 23rd June 1966Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 24th June 1966Factorise x^2 - 4.
- 25th June 1966y is directly proportional to x^2. When x = 4, y = 64. Work out y when x = 7.
- 26th June 1966A 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.
- 27th June 196618 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th June 196615 newts are marked and released. Later 33 are caught, of which 3 are marked. Estimate the population.
- 29th June 1966A meal deal has 6 mains, 4 sides and 3 drinks. How many different meals are possible?
- 30th June 1966A region is defined by y < -5x - 4. Should the boundary line be solid or dashed, and why?