Daily Practice · Higher
January 1954 5-a-day
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The batch download puts all 5 tiers' January 1954 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1954
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 195413 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd January 1954A box plot has minimum 4, lower quartile 10, median 18, upper quartile 22 and maximum 24. Work out the interquartile range.
- 3rd January 1954Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 4th January 1954A region is defined by y <= -5x + 3. Should the boundary line be solid or dashed, and why?
- 5th January 1954x : y = 7 : 9. Write y in terms of x.
- 6th January 1954The point (-3, -5) is enlarged by scale factor -3 about the centre (1, 2). Write down the coordinates of the image.
- 7th January 19543 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th January 1954A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 9th January 1954A meal deal has 4 mains, 7 sides and 5 drinks. How many different meals are possible?
- 10th January 1954Factorise x^2 - 2x - 15.
- 11th January 1954A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 12th January 1954Two 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.
- 13th January 195416 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th January 1954A histogram class is 5 units wide and contains 20 values. Work out the frequency density.
- 15th January 1954A mass is 13.9 kg, correct to 1 decimal place. Write down the upper bound.
- 16th January 1954Work out the equation of the line parallel to y = 2x - 3 that passes through (3, 12).
- 17th January 1954y is inversely proportional to x. When x = 2, y = 12. Work out y when x = 3.
- 18th January 1954A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 19th January 19541 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th January 1954Four classes in order have frequencies 9, 4, 12, 8. Write down the cumulative frequency at the end of the third class.
- 21st January 1954Write 3^-3 as a fraction.
- 22nd January 1954A line has equation y = 2x + 1. Work out the gradient of any line perpendicular to it.
- 23rd January 1954y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 7.
- 24th January 1954ABCD is a cyclic quadrilateral. Angle ABC is 80°. Work out angle ADC.
- 25th January 195417 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th January 195415 fish are marked and released. Later 30 are caught, of which 3 are marked. Estimate the population.
- 27th January 1954Work out (2 x 10^8) x (7 x 10^-6). Give your answer in standard form.
- 28th January 1954For the curve y = 4/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 29th January 1954y is directly proportional to x. When x = 9, y = 90. Work out y when x = 4.
- 30th January 1954A, B and C are points on a circle with centre O. Angle AOC is 74°. Work out angle ABC, where B is on the major arc.
- 31st January 19542 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.