Daily Practice · Higher
February 1988 5-a-day
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The batch download puts all 5 tiers' February 1988 sheets in a single PDF, each tier behind its own divider page - 145 sheets in one file.
Every sheet in February 1988
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1988A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 2nd February 19884 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd February 1988Four classes in order have frequencies 9, 6, 10, 5. Write down the cumulative frequency at the end of the third class.
- 4th February 1988A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 5th February 1988A line has equation y = 4x + 9. Work out the gradient of any line perpendicular to it.
- 6th February 1988y is directly proportional to x^2. When x = 5, y = 100. Work out y when x = 8.
- 7th February 1988ABCD is a cyclic quadrilateral. Angle ABC is 57°. Work out angle ADC.
- 8th February 198817 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th February 198850 fish are marked and released. Later 24 are caught, of which 6 are marked. Estimate the population.
- 10th February 1988Work out (4 x 10^7) / (2 x 10^5). Give your answer in standard form.
- 11th February 1988For the curve y = 24/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 12th February 1988y is directly proportional to x. When x = 5, y = 30. Work out y when x = 4.
- 13th February 1988A, B and C are points on a circle with centre O. Angle AOC is 40°. Work out angle ABC, where B is on the major arc.
- 14th February 19885 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th February 1988A cumulative frequency graph is drawn for 188 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 16th February 1988Write the recurring decimal 0.222... as a fraction in its simplest form.
- 17th February 1988Expand and simplify (x - 4)(x - 5)(x + 3).
- 18th February 1988A town's population is 31500 and grows by 3% each year. Work out the population after 5 years, to the nearest whole number.
- 19th February 1988A cone has base radius 4 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 20th February 198817 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st February 1988A box plot has a minimum of 13 and a maximum of 53. Work out the range.
- 22nd February 1988Work out 100^(3/2).
- 23rd February 1988Make x the subject of y = 2x^2 - 4.
- 24th February 1988A block has volume 60 cm^3 and density 3 g/cm^3. Work out its mass.
- 25th February 1988In triangle ABC, angle A is 70°, angle B is 67° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 26th February 19881 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th February 1988A box plot has minimum 2, lower quartile 4, median 13, upper quartile 16 and maximum 20. Work out the interquartile range.
- 28th February 1988Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 29th February 1988Factorise x^2 - 4.