Daily Practice · Higher
March 1990 5-a-day
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The batch download puts all 5 tiers' March 1990 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1990
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1990A meal deal has 9 mains, 8 sides and 4 drinks. How many different meals are possible?
- 2nd March 1990Factorise x^2 + 18x + 81.
- 3rd March 1990y is directly proportional to x^2. When x = 2, y = 12. Work out y when x = 7.
- 4th March 1990Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1216 cm^3. Work out the volume of the smaller.
- 5th March 199011 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th March 199035 beetles are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
- 7th March 1990A mass is 720 kg, correct to the nearest 10. Write down the lower bound.
- 8th March 1990Work out the equation of the line parallel to y = -x + 1 that passes through (3, -14).
- 9th March 1990y is directly proportional to x. When x = 5, y = 10. Work out y when x = 12.
- 10th March 1990A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 11th March 19903 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th March 1990A cumulative frequency graph is drawn for 76 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th March 1990Write 6^-2 as a fraction.
- 14th March 1990A line has equation y = -4x + 2. Work out the gradient of any line perpendicular to it.
- 15th March 1990A town's population is 10000 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
- 16th March 1990ABCD is a cyclic quadrilateral. Angle ABC is 57°. Work out angle ADC.
- 17th March 199028 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th March 1990A box plot has a minimum of 8 and a maximum of 61. Work out the range.
- 19th March 1990Work out (8 x 10^3) x (7 x 10^-5). Give your answer in standard form.
- 20th March 1990For the curve y = -80/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 21st March 1990A block has volume 150 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 22nd March 1990A, B and C are points on a circle with centre O. Angle AOC is 78°. Work out angle ABC, where B is on the major arc.
- 23rd March 19904 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th March 1990A box plot has minimum 7, lower quartile 10, median 20, upper quartile 26 and maximum 33. Work out the interquartile range.
- 25th March 1990Write the recurring decimal 0.5555... as a fraction in its simplest form.
- 26th March 1990Expand and simplify (x + 4)(x - 1)(x - 5).
- 27th March 1990x : y = 4 : 5. Write y in terms of x.
- 28th March 1990A cone has base radius 9 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 29th March 199020 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th March 1990A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 31st March 1990A bill is £528 including VAT at 20%. Work out the amount before VAT.