Daily Practice · Higher
July 1971 5-a-day
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The batch download puts all 5 tiers' July 1971 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1971
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 19711 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd July 1971A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 3rd July 1971Write the recurring decimal 0.444... as a fraction in its simplest form.
- 4th July 1971Factorise x^2 - 11x + 18.
- 5th July 1971A price rises by 10% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 6th July 1971Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 891 cm^3. Work out the volume of the smaller.
- 7th July 197132 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 July 1971A histogram class is 2 units wide and contains 8 values. Work out the frequency density.
- 9th July 1971Work out 81^(3/2).
- 10th July 1971Work out the equation of the line parallel to y = 2x - 5 that passes through (3, 10).
- 11th July 1971y is inversely proportional to x. When x = 6, y = 10. Work out y when x = 10.
- 12th July 1971A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 13th July 19711 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th July 1971Four classes in order have frequencies 3, 5, 5, 12. Write down the cumulative frequency at the end of the third class.
- 15th July 1971Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 16th July 1971A line has equation y = 4x + 9. Work out the gradient of any line perpendicular to it.
- 17th July 1971y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 9.
- 18th July 1971ABCD is a cyclic quadrilateral. Angle ABC is 83°. Work out angle ADC.
- 19th July 197112 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th July 197110 beetles are marked and released. Later 24 are caught, of which 8 are marked. Estimate the population.
- 21st July 1971A meal deal has 4 mains, 3 sides and 2 drinks. How many different meals are possible?
- 22nd July 1971For the curve y = 44/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 23rd July 1971y is directly proportional to x. When x = 7, y = 21. Work out y when x = 2.
- 24th July 1971A, B and C are points on a circle with centre O. Angle AOC is 46°. Work out angle ABC, where B is on the major arc.
- 25th July 19713 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th July 1971A cumulative frequency graph is drawn for 204 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 27th July 1971A mass is 10 kg, correct to the nearest whole number. Write down the lower bound.
- 28th July 1971Expand and simplify (x - 1)(x + 3)(x + 3).
- 29th July 1971A town's population is 37500 and grows by 4% each year. Work out the population after 3 years, to the nearest whole number.
- 30th July 1971A cone has base radius 8 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 31st July 197116 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.