Daily Practice · Higher
July 1984 5-a-day
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The batch download puts all 5 tiers' July 1984 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1984
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1984A region is defined by y < x + 5. Should the boundary line be solid or dashed, and why?
- 2nd July 1984A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 3rd July 1984The point (-2, 5) is enlarged by scale factor -3 about the centre (-2, -1). Write down the coordinates of the image.
- 4th July 19843 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 5th July 1984A histogram class is 10 units wide and contains 25 values. Work out the frequency density.
- 6th July 1984Write the recurring decimal 0.666... as a fraction in its simplest form.
- 7th July 1984Factorise x^2 + 7x - 8.
- 8th July 1984y is inversely proportional to x. When x = 4, y = 60. Work out y when x = 10.
- 9th July 1984Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 832 cm^3. Work out the volume of the smaller.
- 10th July 198415 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 11th July 1984Four classes in order have frequencies 5, 5, 9, 3. Write down the cumulative frequency at the end of the third class.
- 12th July 1984Work out 64^(2/3).
- 13th July 1984Work out the equation of the line parallel to y = -2x + 6 that passes through (5, -12).
- 14th July 1984y is directly proportional to x^2. When x = 5, y = 200. Work out y when x = 8.
- 15th July 1984A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
- 16th July 19842 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 17th July 198425 voles are marked and released. Later 24 are caught, of which 8 are marked. Estimate the population.
- 18th July 1984Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 19th July 1984A line has equation y = 4x + 9. Work out the gradient of any line perpendicular to it.
- 20th July 1984y is directly proportional to x. When x = 5, y = 45. Work out y when x = 11.
- 21st July 1984ABCD is a cyclic quadrilateral. Angle ABC is 91°. Work out angle ADC.
- 22nd July 19849 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 July 1984A cumulative frequency graph is drawn for 60 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 24th July 1984A meal deal has 7 mains, 3 sides and 5 drinks. How many different meals are possible?
- 25th July 1984For the curve y = 12/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 26th July 1984A town's population is 17500 and grows by 8% each year. Work out the population after 2 years, to the nearest whole number.
- 27th July 1984A, B and C are points on a circle with centre O. Angle AOC is 46°. Work out angle ABC, where B is on the major arc.
- 28th July 19842 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 29th July 1984A box plot has a minimum of 4 and a maximum of 16. Work out the range.
- 30th July 1984A mass is 22.7 kg, correct to 1 decimal place. Write down the upper bound.
- 31st July 1984Expand and simplify (x - 3)(x - 4)(x - 5).