Daily Practice · Higher
June 1953 5-a-day
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The batch download puts all 5 tiers' June 1953 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1953
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1953Work out (30 x 10^11) / (6 x 10^3). Give your answer in standard form.
- 2nd June 1953For the curve y = -40/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 3rd June 1953A block has volume 190 cm^3 and density 4 g/cm^3. Work out its mass.
- 4th June 1953A, B and C are points on a circle with centre O. Angle AOC is 118°. Work out angle ABC, where B is on the major arc.
- 5th June 19531 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th June 1953A box plot has minimum 10, lower quartile 17, median 22, upper quartile 31 and maximum 41. Work out the interquartile range.
- 7th June 1953Write the recurring decimal 0.777... as a fraction in its simplest form.
- 8th June 1953Expand and simplify (x + 3)(x - 4)(x - 1).
- 9th June 1953x : y = 3 : 8. Write y in terms of x.
- 10th June 1953A cone has base radius 2 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 11th June 195316 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th June 1953A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 13th June 1953Work out 81^(3/2).
- 14th June 1953Make x the subject of y = 7x^2 - 10.
- 15th June 1953A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 16th June 1953In triangle ABC, angle A is 38°, angle B is 40° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 17th June 19531 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th June 1953A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 19th June 1953Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 20th June 1953Factorise x^2 - 16.
- 21st June 1953y is inversely proportional to x. When x = 5, y = 6. Work out y when x = 6.
- 22nd June 1953A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 23rd June 195313 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th June 1953Four classes in order have frequencies 10, 6, 8, 7. Write down the cumulative frequency at the end of the third class.
- 25th June 1953A meal deal has 8 mains, 7 sides and 3 drinks. How many different meals are possible?
- 26th June 1953A region is defined by y < -2x - 6. Should the boundary line be solid or dashed, and why?
- 27th June 1953y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 4.
- 28th June 1953The point (-3, 2) is enlarged by scale factor -3 about the centre (-2, 4). Write down the coordinates of the image.
- 29th June 19534 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th June 195360 voles are marked and released. Later 9 are caught, of which 3 are marked. Estimate the population.