Daily Practice · Higher
October 1973 5-a-day
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The batch download puts all 5 tiers' October 1973 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1973
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1973A cumulative frequency graph is drawn for 60 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 2nd October 1973Write 3^-2 as a fraction.
- 3rd October 1973Work out the equation of the line parallel to y = 5x + 6 that passes through (5, 29).
- 4th October 1973A town's population is 28000 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 5th October 1973A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 6th October 19731 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th October 1973A box plot has a minimum of 9 and a maximum of 68. Work out the range.
- 8th October 1973Work out (4 x 10^7) x (5 x 10^4). Give your answer in standard form.
- 9th October 1973A line has equation y = -2x + 6. Work out the gradient of any line perpendicular to it.
- 10th October 1973A block has volume 185 cm^3 and density 11 g/cm^3. Work out its mass.
- 11th October 1973ABCD is a cyclic quadrilateral. Angle ABC is 64°. Work out angle ADC.
- 12th October 197327 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th October 1973A box plot has minimum 4, lower quartile 12, median 20, upper quartile 25 and maximum 33. Work out the interquartile range.
- 14th October 1973Write the recurring decimal 0.8585... as a fraction in its simplest form.
- 15th October 1973For the curve y = 44/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 16th October 1973x : y = 3 : 8. Write y in terms of x.
- 17th October 1973A, B and C are points on a circle with centre O. Angle AOC is 146°. Work out angle ABC, where B is on the major arc.
- 18th October 19731 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th October 1973A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 20th October 1973A bill is £504 including VAT at 20%. Work out the amount before VAT.
- 21st October 1973Expand and simplify (x - 5)(x + 3)(x + 3).
- 22nd October 1973A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 23rd October 1973A cone has base radius 8 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 24th October 197311 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th October 1973A histogram class is 4 units wide and contains 8 values. Work out the frequency density.
- 26th October 1973A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 27th October 1973Make x the subject of y = 9x^2 - 2.
- 28th October 1973y is inversely proportional to x. When x = 9, y = 36. Work out y when x = 12.
- 29th October 1973In triangle ABC, angle A is 58°, angle B is 45° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 30th October 19732 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st October 1973Four classes in order have frequencies 8, 11, 10, 3. Write down the cumulative frequency at the end of the third class.