Daily Practice · Higher
June 1983 5-a-day
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The batch download puts all 5 tiers' June 1983 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1983
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1983Make x the subject of y = 4x^2 - 4.
- 2nd June 1983A town's population is 26500 and grows by 4% each year. Work out the population after 4 years, to the nearest whole number.
- 3rd June 1983In triangle ABC, angle A is 43°, angle B is 38° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
- 4th June 19831 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th June 1983A box plot has a minimum of 10 and a maximum of 63. Work out the range.
- 6th June 1983Write the recurring decimal 0.666... as a fraction in its simplest form.
- 7th June 1983Factorise x^2 - 81.
- 8th June 1983A block has volume 130 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 9th June 1983A right-angled triangle has sides 12 cm, 16 cm and 20 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
- 10th June 198318 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th June 1983A box plot has minimum 12, lower quartile 22, median 29, upper quartile 33 and maximum 43. Work out the interquartile range.
- 12th June 1983Work out 25^(3/2).
- 13th June 1983A region is defined by y < 5x + 2. Should the boundary line be solid or dashed, and why?
- 14th June 1983x : y = 7 : 9. Write y in terms of x.
- 15th June 1983The point (6, -5) is enlarged by scale factor -3 about the centre (2, 2). Write down the coordinates of the image.
- 16th June 19831 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th June 1983A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 18th June 1983Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
- 19th June 1983Factorise x^2 - 4x - 12.
- 20th June 1983A price rises by 15% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 21st June 1983Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 297 cm^3. Work out the volume of the smaller.
- 22nd June 198310 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 23rd June 1983A histogram class is 20 units wide and contains 30 values. Work out the frequency density.
- 24th June 1983A meal deal has 6 mains, 3 sides and 5 drinks. How many different meals are possible?
- 25th June 1983Work out the equation of the line parallel to y = -4x + 7 that passes through (3, -7).
- 26th June 1983y is inversely proportional to x. When x = 8, y = 4. Work out y when x = 2.
- 27th June 1983A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 28th June 19832 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th June 1983Four classes in order have frequencies 8, 8, 11, 8. Write down the cumulative frequency at the end of the third class.
- 30th June 1983A mass is 50 kg, correct to the nearest 10. Write down the lower bound.