Daily Practice · Higher
April 1988 5-a-day
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The batch download puts all 5 tiers' April 1988 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1988
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1988A, B and C are points on a circle with centre O. Angle AOC is 166°. Work out angle ABC, where B is on the major arc.
- 2nd April 19882 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 3rd April 1988A box plot has a minimum of 20 and a maximum of 41. Work out the range.
- 4th April 1988A bill is £480 including VAT at 20%. Work out the amount before VAT.
- 5th April 1988Expand and simplify (x + 2)(x + 4)(x + 5).
- 6th April 1988A block has volume 85 cm^3 and density 3 g/cm^3. Work out its mass.
- 7th April 1988A cone has base radius 7 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 8th April 198811 students study Spanish and 4 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 9th April 1988A box plot has minimum 15, lower quartile 19, median 28, upper quartile 38 and maximum 44. Work out the interquartile range.
- 10th April 1988A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 11th April 1988Make x the subject of y = 9x^2 - 10.
- 12th April 1988x : y = 2 : 7. Write y in terms of x.
- 13th April 1988In triangle ABC, angle A is 69°, angle B is 80° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 14th April 19882 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 15th April 1988A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
- 16th April 1988Work out (15 x 10^7) / (3 x 10^5). Give your answer in standard form.
- 17th April 1988Factorise x^2 - 9.
- 18th April 1988A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 19th April 1988A right-angled triangle has sides 8 cm, 15 cm and 17 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
- 20th April 198820 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 21st April 1988A histogram class is 20 units wide and contains 30 values. Work out the frequency density.
- 22nd April 1988Write the recurring decimal 0.777... as a fraction in its simplest form.
- 23rd April 1988A region is defined by y <= -x + 9. Should the boundary line be solid or dashed, and why?
- 24th April 1988y is inversely proportional to x. When x = 3, y = 36. Work out y when x = 6.
- 25th April 1988The point (6, 2) is enlarged by scale factor -3 about the centre (-4, 4). Write down the coordinates of the image.
- 26th April 19885 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 27th April 1988Four classes in order have frequencies 9, 5, 12, 9. Write down the cumulative frequency at the end of the third class.
- 28th April 1988Work out 27^(2/3).
- 29th April 1988Factorise x^2 + 10x + 21.
- 30th April 1988y is directly proportional to x^2. When x = 5, y = 50. Work out y when x = 3.