Daily Practice · Foundation Plus
July 1987 5-a-day
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The batch download puts all 5 tiers' July 1987 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1987
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1987A biased coin lands on heads with probability 0.25. It is thrown 100 times. How many heads would you expect?
- 2nd July 1987A cumulative frequency graph is drawn for 140 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 3rd July 1987A bill is £744 including VAT at 20%. Work out the amount before VAT.
- 4th July 1987Does the point (5, -11) satisfy y > -3x - 1?
- 5th July 1987Finlay drives 150 km in 2.5 hours. Work out the average speed in km/h.
- 6th July 1987The bearing of B from A is 164°. Work out the bearing of A from B.
- 7th July 1987A bag holds 7 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
- 8th July 1987150 people were surveyed. 70 were adults, of whom 5 said yes. 20 of the children said yes. How many said yes altogether?
- 9th July 1987Work out (56 x 10^10) / (7 x 10^5). Give your answer in standard form.
- 10th July 1987A line has gradient -1 and passes through (2, -11). Work out its equation.
- 11th July 1987Red and blue marbles are in the ratio 3 : 8. There are 21 red marbles. How many marbles are there altogether?
- 12th July 1987A goat is tied to a post in an open field by a rope 4 m long. Describe the region of grass it can reach.
- 13th July 1987A bag holds 7 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
- 14th July 1987A box plot has minimum 10, lower quartile 15, median 21, upper quartile 23 and maximum 31. Work out the interquartile range.
- 15th July 1987A meal deal has 9 mains, 8 sides and 5 drinks. How many different meals are possible?
- 16th July 1987Make x the subject of y = 5x^2 - 12.
- 17th July 1987A map has a scale of 1 : 25000. Two villages are 9 cm apart on the map. How far apart are they in real life, in km?
- 18th July 1987A trapezium has parallel sides of 14 cm and 23 cm, 4 cm apart. Work out its area.
- 19th July 1987A biased coin lands on heads with probability 0.4. It is thrown 100 times. How many heads would you expect?
- 20th July 1987A scatter graph plots a runner's time for 100 m and the distance they can throw a ball. What type of correlation would you expect?
- 21st July 1987A bill is £960 including VAT at 20%. Work out the amount before VAT.
- 22nd July 1987The angles in a triangle are 4x°, 2x° and (x + 82)°. Form an equation and work out x.
- 23rd July 1987A pack of 12 batteries costs £5.40. A pack of 24 costs £10.08. Which pack is better value?
- 24th July 1987Four angles meet at a point. Three of them are 138°, 67° and 76°. Work out the fourth.
- 25th July 1987A bag holds 8 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
- 26th July 1987Grouped data has five classes of width 10, the first being 20 < x <= 30. The frequencies in order are 7, 16, 3, 21, 11. Write down the modal class.
- 27th July 1987Work out (42 x 10^10) / (7 x 10^4). Give your answer in standard form.
- 28th July 1987Expand and simplify 3(7x - 1).
- 29th July 1987Work out 20% of 180.
- 30th July 1987A prism has a triangular cross-section with base 24 cm and height 6 cm. The prism is 6 cm long. Work out its volume.
- 31st July 1987A bag holds 5 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.