Daily Practice · Higher
August 1965 5-a-day
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The batch download puts all 5 tiers' August 1965 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1965
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 19653 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd August 1965A cumulative frequency graph is drawn for 104 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3rd August 1965A meal deal has 7 mains, 8 sides and 3 drinks. How many different meals are possible?
- 4th August 1965Factorise x^2 + 8x + 7.
- 5th August 1965A town's population is 35500 and grows by 8% each year. Work out the population after 4 years, to the nearest whole number.
- 6th August 1965Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 304 cm^3. Work out the volume of the smaller.
- 7th August 196513 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th August 1965A box plot has a minimum of 5 and a maximum of 18. Work out the range.
- 9th August 1965A mass is 260 kg, correct to the nearest 10. Write down the upper bound.
- 10th August 1965Work out the equation of the line parallel to y = 4x - 2 that passes through (5, 29).
- 11th August 1965A block has volume 75 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 12th August 1965A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 13th August 19651 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th August 1965A box plot has minimum 5, lower quartile 10, median 20, upper quartile 22 and maximum 24. Work out the interquartile range.
- 15th August 1965Write 2^-1 as a fraction.
- 16th August 1965A line has equation y = 2x + 9. Work out the gradient of any line perpendicular to it.
- 17th August 1965x : y = 5 : 9. Write y in terms of x.
- 18th August 1965ABCD is a cyclic quadrilateral. Angle ABC is 120°. Work out angle ADC.
- 19th August 196522 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th August 1965A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 21st August 1965Work out (4 x 10^6) x (4 x 10^3). Give your answer in standard form.
- 22nd August 1965For the curve y = 4/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 23rd August 1965A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 24th August 1965A, B and C are points on a circle with centre O. Angle AOC is 60°. Work out angle ABC, where B is on the major arc.
- 25th August 19654 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th August 1965A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 27th August 1965Write the recurring decimal 0.8888... as a fraction in its simplest form.
- 28th August 1965Expand and simplify (x + 4)(x + 3)(x - 5).
- 29th August 1965y is inversely proportional to x. When x = 3, y = 15. Work out y when x = 5.
- 30th August 1965A cone has base radius 2 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 31st August 196529 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.