Daily Practice · Higher
July 1990 5-a-day
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The batch download puts all 5 tiers' July 1990 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1990
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1990y is inversely proportional to x. When x = 2, y = 12. Work out y when x = 6.
- 2nd July 1990A cone has base radius 7 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 3rd July 199020 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4th July 1990Four classes in order have frequencies 12, 4, 12, 12. Write down the cumulative frequency at the end of the third class.
- 5th July 1990Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
- 6th July 1990Make x the subject of y = 8x^2 - 6.
- 7th July 1990y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 3.
- 8th July 1990In triangle ABC, angle A is 36°, angle B is 59° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 9th July 19901 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 10th July 199060 fish are marked and released. Later 60 are caught, of which 6 are marked. Estimate the population.
- 11th July 1990A meal deal has 6 mains, 9 sides and 2 drinks. How many different meals are possible?
- 12th July 1990Factorise x^2 - 100.
- 13th July 1990y is directly proportional to x. When x = 3, y = 15. Work out y when x = 9.
- 14th July 1990A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 15th July 199023 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 16th July 1990A cumulative frequency graph is drawn for 40 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 17th July 1990A mass is 43 kg, correct to the nearest whole number. Write down the upper bound.
- 18th July 1990A region is defined by y <= 5x + 6. Should the boundary line be solid or dashed, and why?
- 19th July 1990A town's population is 10000 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
- 20th July 1990The point (3, 2) is enlarged by scale factor -3 about the centre (-2, -2). Write down the coordinates of the image.
- 21st July 19905 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 22nd July 1990A box plot has a minimum of 17 and a maximum of 32. Work out the range.
- 23rd July 1990Write 4^-2 as a fraction.
- 24th July 1990Factorise x^2 - 2x - 48.
- 25th July 1990A block has volume 105 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 26th July 1990Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 152 cm^3. Work out the volume of the smaller.
- 27th July 199015 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 28th July 1990A box plot has minimum 14, lower quartile 20, median 29, upper quartile 35 and maximum 40. Work out the interquartile range.
- 29th July 1990Work out (5 x 10^4) x (9 x 10^4). Give your answer in standard form.
- 30th July 1990Work out the equation of the line parallel to y = 4x + 3 that passes through (1, 2).
- 31st July 1990x : y = 2 : 3. Write y in terms of x.