Daily Practice · Higher
January 1979 5-a-day
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The batch download puts all 5 tiers' January 1979 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1979
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1979Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 513 cm^3. Work out the volume of the smaller.
- 2nd January 197927 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd January 1979Four classes in order have frequencies 11, 9, 10, 4. Write down the cumulative frequency at the end of the third class.
- 4th January 1979Work out (6 x 10^5) x (5 x 10^5). Give your answer in standard form.
- 5th January 1979Work out the equation of the line parallel to y = 3x - 6 that passes through (4, 22).
- 6th January 1979y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 6.
- 7th January 1979A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 12 cm. Work out the other shorter side.
- 8th January 19793 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th January 197920 fish are marked and released. Later 84 are caught, of which 7 are marked. Estimate the population.
- 10th January 1979Write the recurring decimal 0.5454... as a fraction in its simplest form.
- 11th January 1979A line has equation y = 5x + 7. Work out the gradient of any line perpendicular to it.
- 12th January 1979y is directly proportional to x. When x = 4, y = 8. Work out y when x = 10.
- 13th January 1979ABCD is a cyclic quadrilateral. Angle ABC is 88°. Work out angle ADC.
- 14th January 197921 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 15th January 1979A cumulative frequency graph is drawn for 60 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 16th January 1979A bill is £624 including VAT at 20%. Work out the amount before VAT.
- 17th January 1979For the curve y = 18/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 18th January 1979A town's population is 11500 and grows by 5% each year. Work out the population after 4 years, to the nearest whole number.
- 19th January 1979A, B and C are points on a circle with centre O. Angle AOC is 148°. Work out angle ABC, where B is on the major arc.
- 20th January 19791 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st January 1979A box plot has a minimum of 11 and a maximum of 65. Work out the range.
- 22nd January 1979A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 23rd January 1979Expand and simplify (x - 3)(x - 1)(x + 4).
- 24th January 1979A block has volume 180 cm^3 and density 11 g/cm^3. Work out its mass.
- 25th January 1979A cone has base radius 9 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 26th January 197916 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th January 1979A box plot has minimum 2, lower quartile 8, median 15, upper quartile 22 and maximum 29. Work out the interquartile range.
- 28th January 1979Work out (56 x 10^7) / (7 x 10^3). Give your answer in standard form.
- 29th January 1979Make x the subject of y = 7x^2 - 12.
- 30th January 1979x : y = 2 : 5. Write y in terms of x.
- 31st January 1979In triangle ABC, angle A is 30°, angle B is 116° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.