Daily Practice · Higher
March 1956 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1956 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1956
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1956A town's population is 5000 and grows by 4% each year. Work out the population after 4 years, to the nearest whole number.
- 2nd March 1956ABCD is a cyclic quadrilateral. Angle ABC is 107°. Work out angle ADC.
- 3rd March 195615 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th March 1956A box plot has a minimum of 17 and a maximum of 39. Work out the range.
- 5th March 1956Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
- 6th March 1956For the curve y = -22/x, work out y when x = 2, and write down the equation of its vertical asymptote.
- 7th March 1956A block has volume 135 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 8th March 1956A, B and C are points on a circle with centre O. Angle AOC is 72°. Work out angle ABC, where B is on the major arc.
- 9th March 19565 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th March 1956A box plot has minimum 10, lower quartile 15, median 21, upper quartile 23 and maximum 26. Work out the interquartile range.
- 11th March 1956A meal deal has 9 mains, 5 sides and 5 drinks. How many different meals are possible?
- 12th March 1956Expand and simplify (x + 4)(x + 2)(x - 1).
- 13th March 1956x : y = 3 : 7. Write y in terms of x.
- 14th March 1956A cone has base radius 7 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 15th March 195629 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th March 1956A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 17th March 1956A mass is 450 kg, correct to the nearest 10. Write down the upper bound.
- 18th March 1956Make x the subject of y = 6x^2 - 12.
- 19th March 1956A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 20th March 1956In triangle ABC, angle A is 53°, angle B is 79° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 21st March 19561 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd March 1956A histogram class is 5 units wide and contains 2.5 values. Work out the frequency density.
- 23rd March 1956Write 7^-2 as a fraction.
- 24th March 1956Factorise x^2 - 36.
- 25th March 1956y is inversely proportional to x. When x = 4, y = 48. Work out y when x = 12.
- 26th March 1956A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 27th March 195617 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th March 1956Four classes in order have frequencies 8, 9, 3, 6. Write down the cumulative frequency at the end of the third class.
- 29th March 1956Work out (4 x 10^3) x (3 x 10^4). Give your answer in standard form.
- 30th March 1956A region is defined by y < -3x + 5. Should the boundary line be solid or dashed, and why?
- 31st March 1956y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 6.