Daily Practice · Higher
January 1956 5-a-day
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The batch download puts all 5 tiers' January 1956 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1956
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1956y is inversely proportional to x. When x = 2, y = 60. Work out y when x = 10.
- 2nd January 1956Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 88 cm^3. Work out the volume of the smaller.
- 3rd January 195622 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 January 1956Four classes in order have frequencies 4, 9, 5, 3. Write down the cumulative frequency at the end of the third class.
- 5th January 1956A meal deal has 9 mains, 8 sides and 4 drinks. How many different meals are possible?
- 6th January 1956Work out the equation of the line parallel to y = -x + 1 that passes through (1, -6).
- 7th January 1956y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 8.
- 8th January 1956A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 9th January 19561 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th January 195640 voles are marked and released. Later 63 are caught, of which 9 are marked. Estimate the population.
- 11th January 1956A mass is 510 kg, correct to the nearest 10. Write down the upper bound.
- 12th January 1956A line has equation y = -5x + 4. Work out the gradient of any line perpendicular to it.
- 13th January 1956y is directly proportional to x. When x = 5, y = 35. Work out y when x = 12.
- 14th January 1956ABCD is a cyclic quadrilateral. Angle ABC is 69°. Work out angle ADC.
- 15th January 195618 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th January 1956A cumulative frequency graph is drawn for 212 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 17th January 1956Write 9^-1 as a fraction.
- 18th January 1956For the curve y = 20/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 19th January 1956A town's population is 11000 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 20th January 1956A, 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.
- 21st January 19561 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd January 1956A box plot has a minimum of 5 and a maximum of 59. Work out the range.
- 23rd January 1956Work out (5 x 10^6) x (8 x 10^6). Give your answer in standard form.
- 24th January 1956Expand and simplify (x + 5)(x - 4)(x + 3).
- 25th January 1956A block has volume 195 cm^3 and density 3 g/cm^3. Work out its mass.
- 26th January 1956A cone has base radius 8 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 27th January 195612 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th January 1956A box plot has minimum 2, lower quartile 6, median 13, upper quartile 18 and maximum 28. Work out the interquartile range.
- 29th January 1956Write the recurring decimal 0.1010... as a fraction in its simplest form.
- 30th January 1956Make x the subject of y = 4x^2 - 6.
- 31st January 1956x : y = 2 : 5. Write y in terms of x.