Daily Practice · Higher
February 1978 5-a-day
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The batch download puts all 5 tiers' February 1978 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1978
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1978Four classes in order have frequencies 11, 8, 6, 9. Write down the cumulative frequency at the end of the third class.
- 2nd February 1978Write 7^-2 as a fraction.
- 3rd February 1978Work out the equation of the line parallel to y = x - 2 that passes through (2, -8).
- 4th February 1978y is directly proportional to x^2. When x = 2, y = 28. Work out y when x = 3.
- 5th February 1978A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 6th February 19784 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th February 197825 beetles are marked and released. Later 48 are caught, of which 4 are marked. Estimate the population.
- 8th February 1978Work out (4 x 10^7) x (9 x 10^3). Give your answer in standard form.
- 9th February 1978A line has equation y = 2x + 5. Work out the gradient of any line perpendicular to it.
- 10th February 1978y is directly proportional to x. When x = 7, y = 63. Work out y when x = 5.
- 11th February 1978ABCD is a cyclic quadrilateral. Angle ABC is 74°. Work out angle ADC.
- 12th February 197820 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 13th February 1978A cumulative frequency graph is drawn for 88 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 14th February 1978Write the recurring decimal 0.7575... as a fraction in its simplest form.
- 15th February 1978For the curve y = -8/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 16th February 1978A town's population is 18500 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 17th February 1978A, B and C are points on a circle with centre O. Angle AOC is 98°. Work out angle ABC, where B is on the major arc.
- 18th February 19781 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th February 1978A box plot has a minimum of 14 and a maximum of 65. Work out the range.
- 20th February 1978A bill is £840 including VAT at 20%. Work out the amount before VAT.
- 21st February 1978Expand and simplify (x + 4)(x + 5)(x + 5).
- 22nd February 1978A block has volume 25 cm^3 and density 11 g/cm^3. Work out its mass.
- 23rd February 1978A cone has base radius 7 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 24th February 197827 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 25th February 1978A box plot has minimum 11, lower quartile 13, median 23, upper quartile 32 and maximum 40. Work out the interquartile range.
- 26th February 1978A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 27th February 1978Make x the subject of y = 9x^2 - 7.
- 28th February 1978x : y = 4 : 9. Write y in terms of x.