Daily Practice · Higher
May 1965 5-a-day
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The batch download puts all 5 tiers' May 1965 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1965
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1965y is directly proportional to x^2. When x = 4, y = 80. Work out y when x = 3.
- 2nd May 1965Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 184 cm^3. Work out the volume of the smaller.
- 3rd May 196532 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th May 196535 fish are marked and released. Later 44 are caught, of which 4 are marked. Estimate the population.
- 5th May 1965Work out (18 x 10^8) / (2 x 10^4). Give your answer in standard form.
- 6th May 1965Work out the equation of the line parallel to y = -5x + 7 that passes through (1, -1).
- 7th May 1965y is directly proportional to x. When x = 3, y = 27. Work out y when x = 9.
- 8th May 1965A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 8 cm. Work out the other shorter side.
- 9th May 19651 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th May 1965A cumulative frequency graph is drawn for 156 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 11th May 1965Write the recurring decimal 0.111... as a fraction in its simplest form.
- 12th May 1965A line has equation y = -2x + 4. Work out the gradient of any line perpendicular to it.
- 13th May 1965A town's population is 35500 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 14th May 1965ABCD is a cyclic quadrilateral. Angle ABC is 109°. Work out angle ADC.
- 15th May 196514 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th May 1965A box plot has a minimum of 14 and a maximum of 32. Work out the range.
- 17th May 1965Work out 25^(3/2).
- 18th May 1965For the curve y = -28/x, work out y when x = 4, and write down the equation of its vertical asymptote.
- 19th May 1965A block has volume 25 cm^3 and density 8 g/cm^3. Work out its mass.
- 20th May 1965A, B and C are points on a circle with centre O. Angle AOC is 110°. Work out angle ABC, where B is on the major arc.
- 21st May 19651 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd May 1965A box plot has minimum 5, lower quartile 9, median 19, upper quartile 24 and maximum 29. Work out the interquartile range.
- 23rd May 1965Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 24th May 1965Expand and simplify (x - 1)(x + 2)(x + 2).
- 25th May 1965x : y = 5 : 6. Write y in terms of x.
- 26th May 1965A cone has base radius 4 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 27th May 196510 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th May 1965A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 29th May 1965A meal deal has 5 mains, 9 sides and 2 drinks. How many different meals are possible?
- 30th May 1965Make x the subject of y = 8x^2 - 10.
- 31st May 1965A price rises by 15% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.