Daily Practice · Higher
June 1961 5-a-day
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The batch download puts all 5 tiers' June 1961 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1961
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1961Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 2nd June 1961A line has equation y = -2x + 4. Work out the gradient of any line perpendicular to it.
- 3rd June 1961y is directly proportional to x^2. When x = 3, y = 18. Work out y when x = 5.
- 4th June 1961ABCD is a cyclic quadrilateral. Angle ABC is 104°. Work out angle ADC.
- 5th June 196117 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th June 196140 newts are marked and released. Later 36 are caught, of which 3 are marked. Estimate the population.
- 7th June 1961A meal deal has 8 mains, 8 sides and 5 drinks. How many different meals are possible?
- 8th June 1961For the curve y = -24/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 9th June 1961y is directly proportional to x. When x = 2, y = 10. Work out y when x = 13.
- 10th June 1961A, 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.
- 11th June 19612 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th June 1961A cumulative frequency graph is drawn for 156 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th June 1961A mass is 330 kg, correct to the nearest 10. Write down the lower bound.
- 14th June 1961Expand and simplify (x + 5)(x + 1)(x - 5).
- 15th June 1961A town's population is 21000 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 16th June 1961A cone has base radius 9 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 17th June 196120 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th June 1961A box plot has a minimum of 3 and a maximum of 49. Work out the range.
- 19th June 1961Write 2^-1 as a fraction.
- 20th June 1961Make x the subject of y = 7x^2 - 2.
- 21st June 1961A block has volume 55 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 22nd June 1961In triangle ABC, angle A is 38°, angle B is 36° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 23rd June 19611 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th June 1961A box plot has minimum 8, lower quartile 10, median 18, upper quartile 25 and maximum 28. Work out the interquartile range.
- 25th June 1961Work out (5 x 10^8) x (2 x 10^-2). Give your answer in standard form.
- 26th June 1961Factorise x^2 - 144.
- 27th June 1961x : y = 2 : 3. Write y in terms of x.
- 28th June 1961A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
- 29th June 196118 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th June 1961A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.