Daily Practice · Foundation Plus
August 1971 5-a-day
Printing for a group?
The batch download puts all 5 tiers' August 1971 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in August 1971
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 197120 fish are marked and released. Later 28 are caught, of which 7 are marked. Estimate the population.
- 2nd August 1971A bill is £696 including VAT at 20%. Work out the amount before VAT.
- 3rd August 1971Factorise x^2 - 15x + 56.
- 4th August 1971Work out 25% of 360.
- 5th August 1971Four angles meet at a point. Three of them are 84°, 119° and 59°. Work out the fourth.
- 6th August 1971A bag holds 5 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
- 7th August 1971A cumulative frequency graph is drawn for 92 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 8th August 1971Work out (21 x 10^8) / (3 x 10^5). Give your answer in standard form.
- 9th August 1971Does the point (2, -3) satisfy y > 3x - 7?
- 10th August 1971Write the ratio 7 : 28 in the form 1 : n.
- 11th August 1971A prism has a triangular cross-section with base 12 cm and height 12 cm. The prism is 13 cm long. Work out its volume.
- 12th August 1971A bag holds 7 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
- 13th August 1971240 people were surveyed. 50 were adults, of whom 10 said yes. 25 of the children said yes. How many said yes altogether?
- 14th August 1971A meal deal has 4 mains, 9 sides and 6 drinks. How many different meals are possible?
- 15th August 1971A line has gradient -2 and passes through (2, -13). Work out its equation.
- 16th August 1971A coach travels 20 km in 1 hour, then 90 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
- 17th August 1971Work out the size of one exterior angle of a regular octagon.
- 18th August 1971A biased coin lands on heads with probability 0.1. It is thrown 500 times. How many heads would you expect?
- 19th August 1971A box plot has minimum 6, lower quartile 12, median 16, upper quartile 21 and maximum 26. Work out the interquartile range.
- 20th August 1971A bill is £480 including VAT at 20%. Work out the amount before VAT.
- 21st August 1971Make x the subject of y = 9x^2 - 5.
- 22nd August 1971Amelia drives 150 km in 3 hours. Work out the average speed in km/h.
- 23rd August 1971The bearing of B from A is 350°. Work out the bearing of A from B.
- 24th August 1971A bag holds 5 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
- 25th August 1971A scatter graph plots a car's engine size and the miles it does per gallon. What type of correlation would you expect?
- 26th August 1971Work out (18 x 10^12) / (3 x 10^2). Give your answer in standard form.
- 27th August 1971The angles in a triangle are 4x°, 2x° and (x + 75)°. Form an equation and work out x.
- 28th August 1971Red and blue raffle tickets are in the ratio 5 : 6. There are 50 red raffle tickets. How many raffle tickets are there altogether?
- 29th August 1971A goat is tied to a post in an open field by a rope 8 m long. Describe the region of grass it can reach.
- 30th August 1971A bag holds 3 red and 7 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
- 31st August 1971Grouped data has five classes of width 5, the first being 0 < x <= 5. The frequencies in order are 3, 21, 16, 11, 7. Write down the modal class.