Daily Practice · Higher
April 1978 5-a-day
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The batch download puts all 5 tiers' April 1978 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1978
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 197817 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd April 1978A box plot has a minimum of 5 and a maximum of 40. Work out the range.
- 3rd April 1978A mass is 380 kg, correct to the nearest 10. Write down the upper bound.
- 4th April 1978For the curve y = -9/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 5th April 1978A block has volume 90 cm^3 and density 2.5 g/cm^3. Work out its mass.
- 6th April 1978A, 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.
- 7th April 19787 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th April 1978A box plot has minimum 5, lower quartile 8, median 11, upper quartile 20 and maximum 25. Work out the interquartile range.
- 9th April 1978Write 9^-1 as a fraction.
- 10th April 1978Expand and simplify (x + 5)(x - 4)(x - 2).
- 11th April 1978x : y = 3 : 4. Write y in terms of x.
- 12th April 1978A cone has base radius 8 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
- 13th April 197831 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th April 1978A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 15th April 1978Work out (5 x 10^8) x (3 x 10^-6). Give your answer in standard form.
- 16th April 1978Make x the subject of y = 3x^2 - 6.
- 17th April 1978A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 18th April 1978In triangle ABC, angle A is 46°, angle B is 49° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 19th April 19783 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th April 1978A histogram class is 4 units wide and contains 16 values. Work out the frequency density.
- 21st April 1978Write the recurring decimal 0.9696... as a fraction in its simplest form.
- 22nd April 1978Factorise x^2 - 81.
- 23rd April 1978y is inversely proportional to x. When x = 9, y = 60. Work out y when x = 12.
- 24th April 1978A right-angled triangle has sides 10 cm, 24 cm and 26 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
- 25th April 197813 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th April 1978Four classes in order have frequencies 7, 7, 4, 12. Write down the cumulative frequency at the end of the third class.
- 27th April 1978A bill is £408 including VAT at 20%. Work out the amount before VAT.
- 28th April 1978A region is defined by y < -4x + 8. Should the boundary line be solid or dashed, and why?
- 29th April 1978y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 2.
- 30th April 1978The point (5, 3) is enlarged by scale factor -1 about the centre (1, -2). Write down the coordinates of the image.