Daily Practice · Higher
February 1955 5-a-day
Printing for a group?
The batch download puts all 5 tiers' February 1955 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1955
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 195532 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd February 1955Four classes in order have frequencies 11, 8, 10, 6. Write down the cumulative frequency at the end of the third class.
- 3rd February 1955Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 4th February 1955Work out the equation of the line parallel to y = 5x - 9 that passes through (6, 27).
- 5th February 1955y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 8.
- 6th February 1955A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 7th February 19552 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th February 195525 voles are marked and released. Later 9 are caught, of which 3 are marked. Estimate the population.
- 9th February 1955A meal deal has 9 mains, 8 sides and 3 drinks. How many different meals are possible?
- 10th February 1955A line has equation y = -2x + 3. Work out the gradient of any line perpendicular to it.
- 11th February 1955y is directly proportional to x. When x = 2, y = 20. Work out y when x = 3.
- 12th February 1955ABCD is a cyclic quadrilateral. Angle ABC is 71°. Work out angle ADC.
- 13th February 195517 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th February 1955A cumulative frequency graph is drawn for 108 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 15th February 1955A mass is 25.4 kg, correct to 1 decimal place. Write down the lower bound.
- 16th February 1955For the curve y = 9/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 17th February 1955A town's population is 8000 and grows by 4% each year. Work out the population after 4 years, to the nearest whole number.
- 18th February 1955A, B and C are points on a circle with centre O. Angle AOC is 130°. Work out angle ABC, where B is on the major arc.
- 19th February 19555 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th February 1955A box plot has a minimum of 18 and a maximum of 55. Work out the range.
- 21st February 1955Write 6^-2 as a fraction.
- 22nd February 1955Expand and simplify (x + 1)(x - 4)(x + 5).
- 23rd February 1955A block has volume 35 cm^3 and density 4 g/cm^3. Work out its mass.
- 24th February 1955A cone has base radius 4 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
- 25th February 195518 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th February 1955A box plot has minimum 7, lower quartile 14, median 22, upper quartile 31 and maximum 41. Work out the interquartile range.
- 27th February 1955Work out (5 x 10^3) x (4 x 10^3). Give your answer in standard form.
- 28th February 1955Make x the subject of y = 6x^2 - 3.