Daily Practice · Higher
April 1983 5-a-day
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The batch download puts all 5 tiers' April 1983 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1983
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1983Write the recurring decimal 0.333... as a fraction in its simplest form.
- 2nd April 1983For the curve y = 80/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 3rd April 1983y is inversely proportional to x. When x = 5, y = 4. Work out y when x = 2.
- 4th April 1983A, B and C are points on a circle with centre O. Angle AOC is 162°. Work out angle ABC, where B is on the major arc.
- 5th April 19838 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th April 1983Four classes in order have frequencies 12, 5, 8, 8. Write down the cumulative frequency at the end of the third class.
- 7th April 1983Work out 216^(2/3).
- 8th April 1983Expand and simplify (x - 1)(x + 2)(x + 5).
- 9th April 1983y is directly proportional to x^2. When x = 4, y = 112. Work out y when x = 3.
- 10th April 1983A cone has base radius 4 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 11th April 198316 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th April 198320 newts are marked and released. Later 21 are caught, of which 7 are marked. Estimate the population.
- 13th April 1983Write sqrt(32) in the form a sqrt(b), where b is as small as possible.
- 14th April 1983Make x the subject of y = 6x^2 - 6.
- 15th April 1983y is directly proportional to x. When x = 8, y = 40. Work out y when x = 15.
- 16th April 1983In triangle ABC, angle A is 65°, angle B is 55° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
- 17th April 19832 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th April 1983A cumulative frequency graph is drawn for 220 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 19th April 1983A meal deal has 8 mains, 3 sides and 2 drinks. How many different meals are possible?
- 20th April 1983Factorise x^2 - 144.
- 21st April 1983A town's population is 3500 and grows by 8% each year. Work out the population after 5 years, to the nearest whole number.
- 22nd April 1983A right-angled triangle has sides 9 cm, 12 cm and 15 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 23rd April 198324 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th April 1983A box plot has a minimum of 6 and a maximum of 51. Work out the range.
- 25th April 1983A mass is 12 kg, correct to the nearest whole number. Write down the upper bound.
- 26th April 1983A region is defined by y < -4x + 3. Should the boundary line be solid or dashed, and why?
- 27th April 1983A block has volume 85 cm^3 and density 3 g/cm^3. Work out its mass.
- 28th April 1983The point (3, 1) is enlarged by scale factor -3 about the centre (3, -4). Write down the coordinates of the image.
- 29th April 19831 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th April 1983A box plot has minimum 1, lower quartile 10, median 19, upper quartile 22 and maximum 24. Work out the interquartile range.