Daily Practice · Higher
March 1954 5-a-day
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The batch download puts all 5 tiers' March 1954 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1954
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1954Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1920 cm^3. Work out the volume of the smaller.
- 2nd March 195411 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 3rd March 1954Four classes in order have frequencies 6, 10, 4, 3. Write down the cumulative frequency at the end of the third class.
- 4th March 1954Work out 125^(2/3).
- 5th March 1954Work out the equation of the line parallel to y = x - 5 that passes through (2, 7).
- 6th March 1954y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 3.
- 7th March 1954A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
- 8th March 19541 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 9th March 195455 beetles are marked and released. Later 77 are caught, of which 7 are marked. Estimate the population.
- 10th March 1954Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
- 11th March 1954A line has equation y = 2x + 5. Work out the gradient of any line perpendicular to it.
- 12th March 1954y is directly proportional to x. When x = 7, y = 14. Work out y when x = 10.
- 13th March 1954ABCD is a cyclic quadrilateral. Angle ABC is 84°. Work out angle ADC.
- 14th March 195419 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 March 1954A cumulative frequency graph is drawn for 40 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 16th March 1954A meal deal has 4 mains, 8 sides and 5 drinks. How many different meals are possible?
- 17th March 1954For the curve y = 2/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 18th March 1954A town's population is 9000 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
- 19th March 1954A, 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.
- 20th March 19542 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 21st March 1954A box plot has a minimum of 12 and a maximum of 45. Work out the range.
- 22nd March 1954A mass is 120 kg, correct to the nearest 10. Write down the upper bound.
- 23rd March 1954Expand and simplify (x + 5)(x + 3)(x + 5).
- 24th March 1954A block has volume 85 cm^3 and density 8 g/cm^3. Work out its mass.
- 25th March 1954A cone has base radius 7 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 26th March 195412 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 27th March 1954A box plot has minimum 14, lower quartile 17, median 20, upper quartile 23 and maximum 28. Work out the interquartile range.
- 28th March 1954Write 9^-2 as a fraction.
- 29th March 1954Make x the subject of y = 9x^2 - 9.
- 30th March 1954x : y = 3 : 7. Write y in terms of x.
- 31st March 1954In triangle ABC, angle A is 55°, angle B is 63° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.