Daily Practice · Higher
July 1988 5-a-day
Printing for a group?
The batch download puts all 5 tiers' July 1988 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1988
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 198823 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 2nd July 1988A box plot has minimum 1, lower quartile 10, median 20, upper quartile 26 and maximum 30. Work out the interquartile range.
- 3rd July 1988Work out 16^(3/2).
- 4th July 1988For the curve y = -110/x, work out y when x = 10, and write down the equation of its vertical asymptote.
- 5th July 1988x : y = 7 : 9. Write y in terms of x.
- 6th July 1988A, B and C are points on a circle with centre O. Angle AOC is 162°. Work out angle ABC, where B is on the major arc.
- 7th July 19881 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 8th July 1988A capture-recapture estimate is made of the fish population of a pond. State one assumption the method relies on.
- 9th July 1988Write sqrt(98) in the form a sqrt(b), where b is as small as possible.
- 10th July 1988Expand and simplify (x + 4)(x + 3)(x - 5).
- 11th July 1988A price rises by 25% and then falls by 25%. Work out the overall percentage change, to 2 decimal places.
- 12th July 1988A cone has base radius 2 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
- 13th July 198818 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 14th July 1988A histogram class is 4 units wide and contains 12 values. Work out the frequency density.
- 15th July 1988A meal deal has 4 mains, 4 sides and 3 drinks. How many different meals are possible?
- 16th July 1988Make x the subject of y = 8x^2 - 10.
- 17th July 1988y is inversely proportional to x. When x = 5, y = 72. Work out y when x = 12.
- 18th July 1988In triangle ABC, angle A is 67°, angle B is 73° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
- 19th July 19881 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 20th July 1988Four classes in order have frequencies 10, 11, 3, 5. Write down the cumulative frequency at the end of the third class.
- 21st July 1988A mass is 560 kg, correct to the nearest 10. Write down the lower bound.
- 22nd July 1988Factorise x^2 - 49.
- 23rd July 1988y is directly proportional to x^2. When x = 4, y = 80. Work out y when x = 8.
- 24th July 1988A right-angled triangle has sides 6 cm, 8 cm and 10 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
- 25th July 198816 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 26th July 198845 fish are marked and released. Later 44 are caught, of which 4 are marked. Estimate the population.
- 27th July 1988Write 6^-1 as a fraction.
- 28th July 1988A region is defined by y <= -x - 9. Should the boundary line be solid or dashed, and why?
- 29th July 1988y is directly proportional to x. When x = 4, y = 44. Work out y when x = 13.
- 30th July 1988The point (-4, -4) is enlarged by scale factor -1 about the centre (4, 0). Write down the coordinates of the image.
- 31st July 19881 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.