Daily Practice · Higher
April 1986 5-a-day
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The batch download puts all 5 tiers' April 1986 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1986
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 19861 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 2nd April 1986Four classes in order have frequencies 5, 6, 5, 3. Write down the cumulative frequency at the end of the third class.
- 3rd April 1986Write the recurring decimal 0.7575... as a fraction in its simplest form.
- 4th April 1986A line has equation y = 2x + 4. Work out the gradient of any line perpendicular to it.
- 5th April 1986y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 5.
- 6th April 1986ABCD is a cyclic quadrilateral. Angle ABC is 91°. Work out angle ADC.
- 7th April 198624 students study Spanish and 9 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 8th April 198635 beetles are marked and released. Later 84 are caught, of which 7 are marked. Estimate the population.
- 9th April 1986A bill is £744 including VAT at 20%. Work out the amount before VAT.
- 10th April 1986For the curve y = 30/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 11th April 1986y is directly proportional to x. When x = 2, y = 14. Work out y when x = 14.
- 12th April 1986A, B and C are points on a circle with centre O. Angle AOC is 52°. Work out angle ABC, where B is on the major arc.
- 13th April 19861 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 14th April 1986A cumulative frequency graph is drawn for 136 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 15th April 1986A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 16th April 1986Expand and simplify (x + 3)(x + 5)(x + 1).
- 17th April 1986A town's population is 10000 and grows by 4% each year. Work out the population after 6 years, to the nearest whole number.
- 18th April 1986A cone has base radius 2 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 19th April 198626 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 20th April 1986A box plot has a minimum of 3 and a maximum of 59. Work out the range.
- 21st April 1986Work out (8 x 10^9) / (4 x 10^2). Give your answer in standard form.
- 22nd April 1986Make x the subject of y = 2x^2 - 11.
- 23rd April 1986A block has volume 55 cm^3 and density 8 g/cm^3. Work out its mass.
- 24th April 1986In triangle ABC, angle A is 58°, angle B is 58° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 25th April 19868 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 26th April 1986A box plot has minimum 15, lower quartile 19, median 22, upper quartile 32 and maximum 38. Work out the interquartile range.
- 27th April 1986Write the recurring decimal 0.777... as a fraction in its simplest form.
- 28th April 1986Factorise x^2 - 36.
- 29th April 1986x : y = 3 : 5. Write y in terms of x.
- 30th April 1986A right-angled triangle has sides 7 cm, 24 cm and 25 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.