Daily Practice · Higher
March 1989 5-a-day
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The batch download puts all 5 tiers' March 1989 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1989
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1989For the curve y = 8/x, work out y when x = 1, and write down the equation of its vertical asymptote.
- 2nd March 1989A town's population is 5000 and grows by 6% each year. Work out the population after 3 years, to the nearest whole number.
- 3rd March 1989A, B and C are points on a circle with centre O. Angle AOC is 58°. Work out angle ABC, where B is on the major arc.
- 4th March 19891 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th March 1989A box plot has a minimum of 14 and a maximum of 51. Work out the range.
- 6th March 1989A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 7th March 1989Expand and simplify (x + 4)(x - 3)(x + 3).
- 8th March 1989A block has volume 30 cm^3 and density 3 g/cm^3. Work out its mass.
- 9th March 1989A cone has base radius 9 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 10th March 198921 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th March 1989A box plot has minimum 2, lower quartile 12, median 15, upper quartile 18 and maximum 28. Work out the interquartile range.
- 12th March 1989Work out (48 x 10^11) / (8 x 10^4). Give your answer in standard form.
- 13th March 1989Make x the subject of y = 8x^2 - 7.
- 14th March 1989x : y = 4 : 7. Write y in terms of x.
- 15th March 1989In triangle ABC, angle A is 31°, angle B is 53° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 16th March 19892 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th March 1989A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 18th March 1989Write the recurring decimal 0.444... as a fraction in its simplest form.
- 19th March 1989Factorise x^2 - 4.
- 20th March 1989A price rises by 20% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
- 21st March 1989A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 22nd March 198916 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd March 1989A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
- 24th March 1989Work out 49^(3/2).
- 25th March 1989A region is defined by y < -3x + 2. Should the boundary line be solid or dashed, and why?
- 26th March 1989y is inversely proportional to x. When x = 2, y = 36. Work out y when x = 6.
- 27th March 1989The point (3, 5) is enlarged by scale factor -1 about the centre (0, -3). Write down the coordinates of the image.
- 28th March 19895 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th March 1989Four classes in order have frequencies 12, 8, 8, 4. Write down the cumulative frequency at the end of the third class.
- 30th March 1989Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 31st March 1989Factorise x^2 + 4x - 45.