Daily Practice · Higher
August 1962 5-a-day
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The batch download puts all 5 tiers' August 1962 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1962
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1962Write the recurring decimal 0.2929... as a fraction in its simplest form.
- 2nd August 1962Work out the equation of the line parallel to y = 2x - 7 that passes through (1, -7).
- 3rd August 1962y is directly proportional to x. When x = 2, y = 10. Work out y when x = 3.
- 4th August 1962A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 5th August 19623 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th August 1962A cumulative frequency graph is drawn for 96 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 7th August 1962A bill is £48 including VAT at 20%. Work out the amount before VAT.
- 8th August 1962A line has equation y = -4x + 6. Work out the gradient of any line perpendicular to it.
- 9th August 1962A town's population is 35000 and grows by 5% each year. Work out the population after 5 years, to the nearest whole number.
- 10th August 1962ABCD is a cyclic quadrilateral. Angle ABC is 50°. Work out angle ADC.
- 11th August 196216 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th August 1962A box plot has a minimum of 3 and a maximum of 50. Work out the range.
- 13th August 1962A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 14th August 1962For the curve y = -10/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 15th August 1962A block has volume 10 cm^3 and density 4 g/cm^3. Work out its mass.
- 16th August 1962A, B and C are points on a circle with centre O. Angle AOC is 176°. Work out angle ABC, where B is on the major arc.
- 17th August 19623 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th August 1962A box plot has minimum 8, lower quartile 15, median 19, upper quartile 27 and maximum 29. Work out the interquartile range.
- 19th August 1962Work out (16 x 10^9) / (4 x 10^5). Give your answer in standard form.
- 20th August 1962Expand and simplify (x - 5)(x - 1)(x - 5).
- 21st August 1962x : y = 3 : 5. Write y in terms of x.
- 22nd August 1962A cone has base radius 10 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 23rd August 196212 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th August 1962A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 25th August 1962Write the recurring decimal 0.333... as a fraction in its simplest form.
- 26th August 1962Make x the subject of y = 9x^2 - 6.
- 27th August 1962A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 28th August 1962In triangle ABC, angle A is 63°, angle B is 83° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 29th August 19624 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th August 1962A histogram class is 5 units wide and contains 2.5 values. Work out the frequency density.
- 31st August 1962Work out 125^(2/3).