Daily Practice · Higher
June 1963 5-a-day
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The batch download puts all 5 tiers' June 1963 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1963
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 19632 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd June 1963A box plot has a minimum of 9 and a maximum of 36. Work out the range.
- 3rd June 1963A meal deal has 3 mains, 8 sides and 2 drinks. How many different meals are possible?
- 4th June 1963Expand and simplify (x + 1)(x - 2)(x - 2).
- 5th June 1963A block has volume 195 cm^3 and density 3 g/cm^3. Work out its mass.
- 6th June 1963A cone has base radius 6 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 7th June 196330 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th June 1963A box plot has minimum 14, lower quartile 20, median 23, upper quartile 26 and maximum 31. Work out the interquartile range.
- 9th June 1963A mass is 560 kg, correct to the nearest 10. Write down the upper bound.
- 10th June 1963Make x the subject of y = 9x^2 - 2.
- 11th June 1963x : y = 4 : 5. Write y in terms of x.
- 12th June 1963In triangle ABC, angle A is 56°, angle B is 58° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 13th June 19638 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th June 1963A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 15th June 1963Write 9^-1 as a fraction.
- 16th June 1963Factorise x^2 - 144.
- 17th June 1963A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 18th June 1963A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 19th June 196312 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th June 1963A histogram class is 4 units wide and contains 16 values. Work out the frequency density.
- 21st June 1963Work out (7 x 10^5) x (6 x 10^-5). Give your answer in standard form.
- 22nd June 1963A region is defined by y <= -4x + 1. Should the boundary line be solid or dashed, and why?
- 23rd June 1963y is inversely proportional to x. When x = 8, y = 10. Work out y when x = 10.
- 24th June 1963The point (-5, 3) is enlarged by scale factor -1 about the centre (0, 1). Write down the coordinates of the image.
- 25th June 19637 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th June 1963Four classes in order have frequencies 6, 6, 4, 9. Write down the cumulative frequency at the end of the third class.
- 27th June 1963Write the recurring decimal 0.1010... as a fraction in its simplest form.
- 28th June 1963Factorise x^2 + 7x + 10.
- 29th June 1963y is directly proportional to x^2. When x = 3, y = 54. Work out y when x = 9.
- 30th June 1963Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 1080 cm^3. Work out the volume of the smaller.