Daily Practice · Higher
July 1973 5-a-day
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The batch download puts all 5 tiers' July 1973 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1973
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1973A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 2nd July 19734 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd July 197350 newts are marked and released. Later 33 are caught, of which 3 are marked. Estimate the population.
- 4th July 1973Work out 36^(3/2).
- 5th July 1973A line has equation y = -4x + 6. Work out the gradient of any line perpendicular to it.
- 6th July 1973y is directly proportional to x. When x = 3, y = 21. Work out y when x = 15.
- 7th July 1973ABCD is a cyclic quadrilateral. Angle ABC is 54°. Work out angle ADC.
- 8th July 197322 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th July 1973A cumulative frequency graph is drawn for 40 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 10th July 1973Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 11th July 1973For the curve y = 40/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 12th July 1973A town's population is 13000 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 13th July 1973A, B and C are points on a circle with centre O. Angle AOC is 170°. Work out angle ABC, where B is on the major arc.
- 14th July 19732 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th July 1973A box plot has a minimum of 15 and a maximum of 27. Work out the range.
- 16th July 1973A meal deal has 9 mains, 9 sides and 4 drinks. How many different meals are possible?
- 17th July 1973Expand and simplify (x + 4)(x + 1)(x - 4).
- 18th July 1973A block has volume 115 cm^3 and density 4 g/cm^3. Work out its mass.
- 19th July 1973A cone has base radius 3 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 20th July 197318 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st July 1973A box plot has minimum 11, lower quartile 21, median 27, upper quartile 36 and maximum 44. Work out the interquartile range.
- 22nd July 1973A mass is 28 kg, correct to 1 decimal place. Write down the upper bound.
- 23rd July 1973Make x the subject of y = 9x^2 - 10.
- 24th July 1973x : y = 3 : 8. Write y in terms of x.
- 25th July 1973In triangle ABC, angle A is 51°, angle B is 41° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 26th July 19736 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th July 1973A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 28th July 1973Write 4^-1 as a fraction.
- 29th July 1973Factorise x^2 - 121.
- 30th July 1973A price rises by 25% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 31st July 1973A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.