Daily Practice · Higher
June 1972 5-a-day
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The batch download puts all 5 tiers' June 1972 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1972
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 19724 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd June 1972A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 3rd June 1972Work out 125^(2/3).
- 4th June 1972Factorise x^2 - 6x + 8.
- 5th June 1972A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 6th June 1972Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1536 cm^3. Work out the volume of the smaller.
- 7th June 197228 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 1972A histogram class is 10 units wide and contains 20 values. Work out the frequency density.
- 9th June 1972Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 10th June 1972Work out the equation of the line parallel to y = 4x - 3 that passes through (1, 14).
- 11th June 1972y is inversely proportional to x. When x = 4, y = 20. Work out y when x = 5.
- 12th June 1972A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 13th June 19724 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th June 1972Four classes in order have frequencies 11, 10, 7, 9. Write down the cumulative frequency at the end of the third class.
- 15th June 1972A meal deal has 5 mains, 6 sides and 3 drinks. How many different meals are possible?
- 16th June 1972A line has equation y = 3x + 3. Work out the gradient of any line perpendicular to it.
- 17th June 1972y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 8.
- 18th June 1972ABCD is a cyclic quadrilateral. Angle ABC is 57°. Work out angle ADC.
- 19th June 197220 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 June 197240 beetles are marked and released. Later 12 are caught, of which 4 are marked. Estimate the population.
- 21st June 1972A mass is 26.3 kg, correct to 1 decimal place. Write down the lower bound.
- 22nd June 1972For the curve y = -50/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 23rd June 1972y is directly proportional to x. When x = 2, y = 10. Work out y when x = 14.
- 24th June 1972A, B and C are points on a circle with centre O. Angle AOC is 68°. Work out angle ABC, where B is on the major arc.
- 25th June 19723 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th June 1972A cumulative frequency graph is drawn for 124 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 27th June 1972Write 7^-2 as a fraction.
- 28th June 1972Expand and simplify (x + 1)(x - 1)(x - 1).
- 29th June 1972A town's population is 36000 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 30th June 1972A cone has base radius 4 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.