Daily Practice · Higher
April 1981 5-a-day
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The batch download puts all 5 tiers' April 1981 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1981
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1981A block has volume 65 cm^3 and density 8 g/cm^3. Work out its mass.
- 2nd April 1981A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
- 3rd April 19811 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4th April 1981A box plot has minimum 3, lower quartile 8, median 10, upper quartile 17 and maximum 25. Work out the interquartile range.
- 5th April 1981Write the recurring decimal 0.222... as a fraction in its simplest form.
- 6th April 1981A line has equation y = 3x + 7. Work out the gradient of any line perpendicular to it.
- 7th April 1981x : y = 3 : 5. Write y in terms of x.
- 8th April 1981ABCD is a cyclic quadrilateral. Angle ABC is 64°. Work out angle ADC.
- 9th April 198116 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 10th April 1981A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 11th April 1981Work out 81^(3/2).
- 12th April 1981For the curve y = -5/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 13th April 1981A price rises by 20% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 14th April 1981A, B and C are points on a circle with centre O. Angle AOC is 94°. Work out angle ABC, where B is on the major arc.
- 15th April 19812 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 16th April 1981A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 17th April 1981Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 18th April 1981Expand and simplify (x + 3)(x - 5)(x - 4).
- 19th April 1981y is inversely proportional to x. When x = 3, y = 2. Work out y when x = 2.
- 20th April 1981A cone has base radius 4 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 21st April 198126 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 22nd April 1981Four classes in order have frequencies 7, 8, 6, 9. Write down the cumulative frequency at the end of the third class.
- 23rd April 1981A meal deal has 6 mains, 7 sides and 2 drinks. How many different meals are possible?
- 24th April 1981Make x the subject of y = 7x^2 - 8.
- 25th April 1981y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 4.
- 26th April 1981In triangle ABC, angle A is 64°, angle B is 55° and side a is 9 cm. Use the sine rule to work out side b, to 1 decimal place.
- 27th April 19812 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 28th April 198120 beetles are marked and released. Later 48 are caught, of which 6 are marked. Estimate the population.
- 29th April 1981A mass is 420 kg, correct to the nearest 10. Write down the lower bound.
- 30th April 1981Factorise x^2 - 64.