Daily Practice · Higher
July 1982 5-a-day
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The batch download puts all 5 tiers' July 1982 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1982
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1982A town's population is 26000 and grows by 3% each year. Work out the population after 6 years, to the nearest whole number.
- 2nd July 1982In triangle ABC, angle A is 36°, angle B is 70° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 3rd July 19822 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th July 1982A box plot has a minimum of 18 and a maximum of 38. Work out the range.
- 5th July 1982Work out (49 x 10^12) / (7 x 10^3). Give your answer in standard form.
- 6th July 1982Factorise x^2 - 121.
- 7th July 1982A block has volume 160 cm^3 and density 7.5 g/cm^3. Work out its mass.
- 8th July 1982A 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.
- 9th July 198212 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th July 1982A box plot has minimum 1, lower quartile 6, median 15, upper quartile 21 and maximum 28. Work out the interquartile range.
- 11th July 1982Write the recurring decimal 0.111... as a fraction in its simplest form.
- 12th July 1982A region is defined by y < -2x + 4. Should the boundary line be solid or dashed, and why?
- 13th July 1982x : y = 2 : 7. Write y in terms of x.
- 14th July 1982The point (-1, 1) is enlarged by scale factor -2 about the centre (-4, -3). Write down the coordinates of the image.
- 15th July 19821 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th July 1982A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 17th July 1982Work out 49^(3/2).
- 18th July 1982Factorise x^2 - 14x + 49.
- 19th July 1982A price rises by 10% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 20th July 1982Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 216 cm^3. Work out the volume of the smaller.
- 21st July 198224 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd July 1982A histogram class is 2 units wide and contains 3 values. Work out the frequency density.
- 23rd July 1982Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 24th July 1982Work out the equation of the line parallel to y = x + 1 that passes through (3, -7).
- 25th July 1982y is inversely proportional to x. When x = 5, y = 20. Work out y when x = 10.
- 26th July 1982A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 27th July 19821 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th July 1982Four classes in order have frequencies 8, 3, 4, 3. Write down the cumulative frequency at the end of the third class.
- 29th July 1982A meal deal has 7 mains, 9 sides and 5 drinks. How many different meals are possible?
- 30th July 1982A line has equation y = -4x + 3. Work out the gradient of any line perpendicular to it.
- 31st July 1982y is directly proportional to x^2. When x = 3, y = 81. Work out y when x = 9.