Daily Practice · Higher
March 1959 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1959 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1959
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1959A box plot has a minimum of 2 and a maximum of 51. Work out the range.
- 2nd March 1959A bill is £528 including VAT at 20%. Work out the amount before VAT.
- 3rd March 1959Work out the equation of the line parallel to y = -2x - 5 that passes through (6, -4).
- 4th March 1959A block has volume 145 cm^3 and density 11 g/cm^3. Work out its mass.
- 5th March 1959A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 6th March 19593 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th March 1959A box plot has minimum 4, lower quartile 10, median 13, upper quartile 19 and maximum 24. Work out the interquartile range.
- 8th March 1959A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 9th March 1959A line has equation y = 3x + 7. Work out the gradient of any line perpendicular to it.
- 10th March 1959x : y = 3 : 5. Write y in terms of x.
- 11th March 1959ABCD is a cyclic quadrilateral. Angle ABC is 85°. Work out angle ADC.
- 12th March 195917 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th March 1959A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 14th March 1959Work out (30 x 10^12) / (6 x 10^3). Give your answer in standard form.
- 15th March 1959For the curve y = -5/x, work out y when x = -5, and write down the equation of its vertical asymptote.
- 16th March 1959A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 17th March 1959A, B and C are points on a circle with centre O. Angle AOC is 168°. Work out angle ABC, where B is on the major arc.
- 18th March 19593 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th March 1959A histogram class is 2 units wide and contains 5 values. Work out the frequency density.
- 20th March 1959Write the recurring decimal 0.777... as a fraction in its simplest form.
- 21st March 1959Expand and simplify (x - 3)(x - 1)(x + 5).
- 22nd March 1959y is inversely proportional to x. When x = 9, y = 18. Work out y when x = 3.
- 23rd March 1959A cone has base radius 2 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 24th March 195915 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th March 1959Four classes in order have frequencies 7, 10, 11, 6. Write down the cumulative frequency at the end of the third class.
- 26th March 1959Work out 125^(2/3).
- 27th March 1959Make x the subject of y = 8x^2 - 9.
- 28th March 1959y is directly proportional to x^2. When x = 3, y = 72. Work out y when x = 2.
- 29th March 1959In triangle ABC, angle A is 54°, angle B is 83° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 30th March 19592 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st March 195930 newts are marked and released. Later 42 are caught, of which 6 are marked. Estimate the population.