Daily Practice · Higher
June 1985 5-a-day
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The batch download puts all 5 tiers' June 1985 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1985
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1985Write the recurring decimal 0.666... as a fraction in its simplest form.
- 2nd June 1985A region is defined by y <= -4x + 5. Should the boundary line be solid or dashed, and why?
- 3rd June 1985A price rises by 20% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.
- 4th June 1985The point (2, -4) is enlarged by scale factor -1 about the centre (-3, 2). Write down the coordinates of the image.
- 5th June 19851 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 6th June 1985A histogram class is 2 units wide and contains 3 values. Work out the frequency density.
- 7th June 1985Work out 25^(3/2).
- 8th June 1985Factorise x^2 + 13x + 40.
- 9th June 1985y is inversely proportional to x. When x = 4, y = 4. Work out y when x = 2.
- 10th June 1985Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 540 cm^3. Work out the volume of the smaller.
- 11th June 19859 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 12th June 1985Four classes in order have frequencies 4, 3, 5, 4. Write down the cumulative frequency at the end of the third class.
- 13th June 1985Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
- 14th June 1985Work out the equation of the line parallel to y = x + 9 that passes through (3, 7).
- 15th June 1985y is directly proportional to x^2. When x = 6, y = 144. Work out y when x = 9.
- 16th June 1985A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
- 17th June 19852 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 18th June 198510 beetles are marked and released. Later 54 are caught, of which 6 are marked. Estimate the population.
- 19th June 1985A meal deal has 6 mains, 7 sides and 3 drinks. How many different meals are possible?
- 20th June 1985A line has equation y = -3x + 5. Work out the gradient of any line perpendicular to it.
- 21st June 1985y is directly proportional to x. When x = 4, y = 44. Work out y when x = 12.
- 22nd June 1985ABCD is a cyclic quadrilateral. Angle ABC is 128°. Work out angle ADC.
- 23rd June 198523 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 24th June 1985A cumulative frequency graph is drawn for 140 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th June 1985A mass is 260 kg, correct to the nearest 10. Write down the lower bound.
- 26th June 1985For the curve y = 7/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 27th June 1985A town's population is 23500 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 28th June 1985A, B and C are points on a circle with centre O. Angle AOC is 168°. Work out angle ABC, where B is on the major arc.
- 29th June 19856 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 30th June 1985A box plot has a minimum of 3 and a maximum of 25. Work out the range.