Daily Practice · Higher
July 1975 5-a-day
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The batch download puts all 5 tiers' July 1975 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1975
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1975For the curve y = -70/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 2nd July 1975A block has volume 140 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 3rd July 1975A, B and C are points on a circle with centre O. Angle AOC is 64°. Work out angle ABC, where B is on the major arc.
- 4th July 19753 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th July 1975A box plot has minimum 10, lower quartile 12, median 19, upper quartile 24 and maximum 27. Work out the interquartile range.
- 6th July 1975Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 7th July 1975Expand and simplify (x - 5)(x - 1)(x + 5).
- 8th July 1975x : y = 2 : 3. Write y in terms of x.
- 9th July 1975A cone has base radius 5 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 10th July 197530 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th July 1975A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 12th July 1975A meal deal has 3 mains, 9 sides and 6 drinks. How many different meals are possible?
- 13th July 1975Make x the subject of y = 3x^2 - 12.
- 14th July 1975A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 15th July 1975In triangle ABC, angle A is 33°, angle B is 65° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 16th July 19752 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th July 1975A histogram class is 20 units wide and contains 50 values. Work out the frequency density.
- 18th July 1975A mass is 69 kg, correct to the nearest whole number. Write down the lower bound.
- 19th July 1975Factorise x^2 - 36.
- 20th July 1975y is inversely proportional to x. When x = 5, y = 4. Work out y when x = 4.
- 21st July 1975A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 22nd July 197523 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd July 1975Four classes in order have frequencies 5, 9, 10, 3. Write down the cumulative frequency at the end of the third class.
- 24th July 1975Write 2^-1 as a fraction.
- 25th July 1975A region is defined by y <= 5x + 7. Should the boundary line be solid or dashed, and why?
- 26th July 1975y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 7.
- 27th July 1975The point (3, -2) is enlarged by scale factor -3 about the centre (3, 4). Write down the coordinates of the image.
- 28th July 19754 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th July 197515 newts are marked and released. Later 42 are caught, of which 6 are marked. Estimate the population.
- 30th July 1975Work out (2 x 10^7) x (4 x 10^3). Give your answer in standard form.
- 31st July 1975Factorise x^2 - 2x - 35.