Daily Practice · Higher
June 1974 5-a-day
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The batch download puts all 5 tiers' June 1974 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1974
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1974y is directly proportional to x^2. When x = 5, y = 100. Work out y when x = 4.
- 2nd June 1974A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 3rd June 19745 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th June 197455 fish are marked and released. Later 18 are caught, of which 2 are marked. Estimate the population.
- 5th June 1974Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 6th June 1974A line has equation y = 4x + 6. Work out the gradient of any line perpendicular to it.
- 7th June 1974y is directly proportional to x. When x = 7, y = 70. Work out y when x = 8.
- 8th June 1974ABCD is a cyclic quadrilateral. Angle ABC is 51°. Work out angle ADC.
- 9th June 197418 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th June 1974A cumulative frequency graph is drawn for 180 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 11th June 1974A meal deal has 5 mains, 6 sides and 5 drinks. How many different meals are possible?
- 12th June 1974For the curve y = 1/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 13th June 1974A town's population is 32500 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 14th June 1974A, B and C are points on a circle with centre O. Angle AOC is 58°. Work out angle ABC, where B is on the major arc.
- 15th June 19747 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th June 1974A box plot has a minimum of 11 and a maximum of 47. Work out the range.
- 17th June 1974A mass is 500 kg, correct to the nearest 10. Write down the lower bound.
- 18th June 1974Expand and simplify (x - 3)(x - 5)(x + 5).
- 19th June 1974A block has volume 10 cm^3 and density 8 g/cm^3. Work out its mass.
- 20th June 1974A cone has base radius 4 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 21st June 197419 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd June 1974A box plot has minimum 14, lower quartile 21, median 28, upper quartile 37 and maximum 47. Work out the interquartile range.
- 23rd June 1974Write 6^-1 as a fraction.
- 24th June 1974Make x the subject of y = 8x^2 - 6.
- 25th June 1974x : y = 4 : 7. Write y in terms of x.
- 26th June 1974In triangle ABC, angle A is 70°, angle B is 79° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 27th June 19742 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th June 1974A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 29th June 1974Work out (4 x 10^8) x (2 x 10^4). Give your answer in standard form.
- 30th June 1974Factorise x^2 - 36.