Daily Practice · Foundation Plus
August 1987 5-a-day
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The batch download puts all 5 tiers' August 1987 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1987
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1987Of 56 students, 17 study French, 37 study German and 7 study both. How many study neither?
- 2nd August 1987A meal deal has 4 mains, 3 sides and 5 drinks. How many different meals are possible?
- 3rd August 1987A line has equation y = 5x - 25. Write down where it crosses the x-axis and where it crosses the y-axis.
- 4th August 1987Write the ratio 3 : 27 in the form 1 : n.
- 5th August 1987Work out the size of one exterior angle of a regular nonagon.
- 6th August 1987A biased coin lands on heads with probability 0.1. It is thrown 50 times. How many heads would you expect?
- 7th August 1987In a survey 4 households own 1 car, 7 own 2 cars and 4 own 3 cars. Work out the mean number of cars, to 2 decimal places.
- 8th August 1987A bill is £408 including VAT at 20%. Work out the amount before VAT.
- 9th August 1987Solve 2(x + 6) = 26.
- 10th August 1987A coach travels 60 km in 1.5 hours, then 70 km in 2 hours. Work out the average speed for the whole journey, to 1 decimal place.
- 11th August 1987The bearing of B from A is 214°. Work out the bearing of A from B.
- 12th August 1987A bag holds 4 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
- 13th August 1987A box plot has a minimum of 18 and a maximum of 70. Work out the range.
- 14th August 1987Work out (35 x 10^11) / (5 x 10^5). Give your answer in standard form.
- 15th August 1987Use v = u + at with u = 10, a = 7 and t = 5. Work out v.
- 16th August 1987Callum drives 60 km in 1.5 hours. Work out the average speed in km/h.
- 17th August 1987A goat is tied to a post in an open field by a rope 8 m long. Describe the region of grass it can reach.
- 18th August 1987A bag holds 2 red and 7 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
- 19th August 1987A line of best fit on a scatter graph has equation y = 9x + 34. Use it to estimate y when x = 6.
- 20th August 1987A meal deal has 7 mains, 5 sides and 3 drinks. How many different meals are possible?
- 21st August 19873 teas and 1 cake cost £6.90. 3 teas and 3 cakes cost £12.90. Find the price of a tea.
- 22nd August 1987Red and blue stickers are in the ratio 3 : 4. There are 12 red stickers. How many stickers are there altogether?
- 23rd August 1987A trapezium has parallel sides of 5 cm and 9 cm, 4 cm apart. Work out its area.
- 24th August 1987A biased coin lands on heads with probability 0.2. It is thrown 50 times. How many heads would you expect?
- 25th August 1987Four classes in order have frequencies 4, 11, 5, 7. Write down the cumulative frequency at the end of the third class.
- 26th August 1987A bill is £576 including VAT at 20%. Work out the amount before VAT.
- 27th August 1987For the curve y = -24/x, work out y when x = -2, and write down the equation of its vertical asymptote.
- 28th August 1987A map has a scale of 1 : 50000. Two villages are 6.5 cm apart on the map. How far apart are they in real life, in km?
- 29th August 1987Four angles meet at a point. Three of them are 132°, 129° and 68°. Work out the fourth.
- 30th August 1987A bag holds 9 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
- 31st August 198750 fish are marked and released. Later 20 are caught, of which 4 are marked. Estimate the population.