Daily Practice · Higher
October 1989 5-a-day
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The batch download puts all 5 tiers' October 1989 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1989
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1989A box plot has a minimum of 16 and a maximum of 60. Work out the range.
- 2nd October 1989Write the recurring decimal 0.888... as a fraction in its simplest form.
- 3rd October 1989A region is defined by y <= -5x - 3. Should the boundary line be solid or dashed, and why?
- 4th October 1989A block has volume 55 cm^3 and density 4 g/cm^3. Work out its mass.
- 5th October 1989The point (-5, 5) is enlarged by scale factor -2 about the centre (-1, 2). Write down the coordinates of the image.
- 6th October 19891 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 7th October 1989A box plot has minimum 12, lower quartile 18, median 21, upper quartile 23 and maximum 31. Work out the interquartile range.
- 8th October 1989Work out 36^(3/2).
- 9th October 1989Factorise x^2 - x - 72.
- 10th October 1989x : y = 2 : 7. Write y in terms of x.
- 11th October 1989Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 594 cm^3. Work out the volume of the smaller.
- 12th October 198926 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 October 1989A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 14th October 1989Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 15th October 1989Work out the equation of the line parallel to y = -2x - 7 that passes through (4, -15).
- 16th October 1989A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 17th October 1989A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 18th October 19896 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 19th October 1989A histogram class is 4 units wide and contains 8 values. Work out the frequency density.
- 20th October 1989A meal deal has 8 mains, 9 sides and 2 drinks. How many different meals are possible?
- 21st October 1989A line has equation y = -3x + 5. Work out the gradient of any line perpendicular to it.
- 22nd October 1989y is inversely proportional to x. When x = 5, y = 12. Work out y when x = 3.
- 23rd October 1989ABCD is a cyclic quadrilateral. Angle ABC is 90°. Work out angle ADC.
- 24th October 198912 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 October 1989Four classes in order have frequencies 8, 7, 4, 6. Write down the cumulative frequency at the end of the third class.
- 26th October 1989A mass is 220 kg, correct to the nearest 10. Write down the upper bound.
- 27th October 1989For the curve y = 55/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 28th October 1989y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 9.
- 29th October 1989A, B and C are points on a circle with centre O. Angle AOC is 56°. Work out angle ABC, where B is on the major arc.
- 30th October 19892 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 31st October 198915 voles are marked and released. Later 42 are caught, of which 6 are marked. Estimate the population.