Daily Practice · Higher
August 1989 5-a-day
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The batch download puts all 5 tiers' August 1989 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1989
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 198912 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd August 1989Four classes in order have frequencies 3, 11, 5, 6. Write down the cumulative frequency at the end of the third class.
- 3rd August 1989Work out 25^(3/2).
- 4th August 1989Make x the subject of y = 9x^2 - 9.
- 5th August 1989y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 5.
- 6th August 1989In triangle ABC, angle A is 57°, angle B is 32° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 7th August 19893 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th August 198910 beetles are marked and released. Later 6 are caught, of which 2 are marked. Estimate the population.
- 9th August 1989Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
- 10th August 1989Factorise x^2 - 36.
- 11th August 1989y is directly proportional to x. When x = 9, y = 36. Work out y when x = 4.
- 12th August 1989A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 13th August 198920 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th August 1989A cumulative frequency graph is drawn for 180 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 15th August 1989A meal deal has 5 mains, 4 sides and 6 drinks. How many different meals are possible?
- 16th August 1989A region is defined by y <= -3x + 5. Should the boundary line be solid or dashed, and why?
- 17th August 1989A town's population is 32000 and grows by 4% each year. Work out the population after 5 years, to the nearest whole number.
- 18th August 1989The point (0, 4) is enlarged by scale factor -2 about the centre (1, -2). Write down the coordinates of the image.
- 19th August 19894 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th August 1989A box plot has a minimum of 4 and a maximum of 34. Work out the range.
- 21st August 1989A mass is 22.9 kg, correct to 1 decimal place. Write down the upper bound.
- 22nd August 1989Factorise x^2 + 3x - 54.
- 23rd August 1989A block has volume 200 cm^3 and density 11 g/cm^3. Work out its mass.
- 24th August 1989Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1408 cm^3. Work out the volume of the smaller.
- 25th August 198915 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th August 1989A box plot has minimum 15, lower quartile 22, median 32, upper quartile 40 and maximum 49. Work out the interquartile range.
- 27th August 1989Write 9^-3 as a fraction.
- 28th August 1989Work out the equation of the line parallel to y = -3x - 2 that passes through (1, -1).
- 29th August 1989x : y = 4 : 5. Write y in terms of x.
- 30th August 1989A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
- 31st August 19893 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.