Daily Practice · Higher
April 1968 5-a-day
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The batch download puts all 5 tiers' April 1968 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1968
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1968Write the recurring decimal 0.111... as a fraction in its simplest form.
- 2nd April 1968A line has equation y = -5x + 6. Work out the gradient of any line perpendicular to it.
- 3rd April 1968A block has volume 35 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 4th April 1968ABCD is a cyclic quadrilateral. Angle ABC is 126°. Work out angle ADC.
- 5th April 196823 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th April 1968A box plot has minimum 9, lower quartile 16, median 24, upper quartile 33 and maximum 35. Work out the interquartile range.
- 7th April 1968Work out 100^(3/2).
- 8th April 1968For the curve y = -70/x, work out y when x = -10, and write down the equation of its vertical asymptote.
- 9th April 1968x : y = 3 : 7. Write y in terms of x.
- 10th April 1968A, B and C are points on a circle with centre O. Angle AOC is 72°. Work out angle ABC, where B is on the major arc.
- 11th April 19682 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th April 1968A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 13th April 1968Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
- 14th April 1968Expand and simplify (x - 1)(x + 4)(x - 2).
- 15th April 1968A price rises by 15% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 16th April 1968A cone has base radius 5 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 17th April 196823 students study Spanish and 10 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th April 1968A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 19th April 1968A meal deal has 6 mains, 6 sides and 4 drinks. How many different meals are possible?
- 20th April 1968Make x the subject of y = 6x^2 - 4.
- 21st April 1968y is inversely proportional to x. When x = 7, y = 24. Work out y when x = 6.
- 22nd April 1968In triangle ABC, angle A is 31°, angle B is 85° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
- 23rd April 19681 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th April 1968Four classes in order have frequencies 3, 4, 7, 8. Write down the cumulative frequency at the end of the third class.
- 25th April 1968A mass is 13.9 kg, correct to 1 decimal place. Write down the upper bound.
- 26th April 1968Factorise x^2 - 81.
- 27th April 1968y is directly proportional to x^2. When x = 3, y = 81. Work out y when x = 5.
- 28th April 1968A right-angled triangle has sides 5 cm, 12 cm and 13 cm. Work out the angle opposite the 5 cm side, to 1 decimal place.
- 29th April 196820 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th April 196860 fish are marked and released. Later 60 are caught, of which 6 are marked. Estimate the population.