Daily Practice · Higher
March 1962 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1962 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1962
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1962The point (4, -2) is enlarged by scale factor -2 about the centre (1, 2). Write down the coordinates of the image.
- 2nd March 19624 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd March 1962A box plot has minimum 5, lower quartile 8, median 16, upper quartile 25 and maximum 30. Work out the interquartile range.
- 4th March 1962A mass is 66 kg, correct to the nearest whole number. Write down the upper bound.
- 5th March 1962Factorise x^2 - 10x + 9.
- 6th March 1962x : y = 3 : 5. Write y in terms of x.
- 7th March 1962Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1280 cm^3. Work out the volume of the smaller.
- 8th March 196218 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th March 1962A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 10th March 1962Write 5^-1 as a fraction.
- 11th March 1962Work out the equation of the line parallel to y = -5x + 4 that passes through (3, -22).
- 12th March 1962A price rises by 15% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 13th March 1962A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.
- 14th March 19623 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th March 1962A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 16th March 1962Work out (9 x 10^4) x (8 x 10^4). Give your answer in standard form.
- 17th March 1962A line has equation y = 2x + 7. Work out the gradient of any line perpendicular to it.
- 18th March 1962y is inversely proportional to x. When x = 6, y = 12. Work out y when x = 12.
- 19th March 1962ABCD is a cyclic quadrilateral. Angle ABC is 108°. Work out angle ADC.
- 20th March 196223 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st March 1962Four classes in order have frequencies 7, 12, 10, 8. Write down the cumulative frequency at the end of the third class.
- 22nd March 1962Write the recurring decimal 0.1313... as a fraction in its simplest form.
- 23rd March 1962For the curve y = -32/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 24th March 1962y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 2.
- 25th March 1962A, B and C are points on a circle with centre O. Angle AOC is 88°. Work out angle ABC, where B is on the major arc.
- 26th March 19624 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th March 196215 beetles are marked and released. Later 50 are caught, of which 5 are marked. Estimate the population.
- 28th March 1962A bill is £312 including VAT at 20%. Work out the amount before VAT.
- 29th March 1962Expand and simplify (x - 5)(x + 3)(x - 3).
- 30th March 1962y is directly proportional to x. When x = 8, y = 48. Work out y when x = 5.
- 31st March 1962A cone has base radius 9 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.