Daily Practice · Foundation Plus
December 1975 5-a-day
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The batch download puts all 5 tiers' December 1975 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1975
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1975A biased coin lands on heads with probability 0.25. It is thrown 100 times. How many heads would you expect?
- 2nd December 197525 fish are marked and released. Later 12 are caught, of which 3 are marked. Estimate the population.
- 3rd December 1975A bill is £144 including VAT at 20%. Work out the amount before VAT.
- 4th December 1975Factorise x^2 + 5x - 14.
- 5th December 1975A map has a scale of 1 : 50000. Two villages are 6 cm apart on the map. How far apart are they in real life, in km?
- 6th December 1975Four angles meet at a point. Three of them are 55°, 112° and 114°. Work out the fourth.
- 7th December 1975A bag holds 4 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
- 8th December 1975A cumulative frequency graph is drawn for 196 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 9th December 1975Work out (4 x 10^8) / (2 x 10^2). Give your answer in standard form.
- 10th December 1975Does the point (-2, -3) satisfy y > 3x - 1?
- 11th December 1975A pack of 7 pencils costs £4.20. A pack of 28 costs £15.40. Which pack is better value?
- 12th December 1975A prism has a triangular cross-section with base 22 cm and height 8 cm. The prism is 6 cm long. Work out its volume.
- 13th December 1975A bag holds 3 red and 5 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
- 14th December 1975220 people were surveyed. 40 were adults, of whom 15 said yes. 65 of the children said yes. How many said yes altogether?
- 15th December 1975A meal deal has 9 mains, 8 sides and 6 drinks. How many different meals are possible?
- 16th December 1975A line has gradient 5 and passes through (5, 26). Work out its equation.
- 17th December 1975Work out 5% of 320.
- 18th December 1975Work out the size of one exterior angle of a regular hexagon.
- 19th December 1975A biased coin lands on heads with probability 0.2. It is thrown 200 times. How many heads would you expect?
- 20th December 1975A box plot has minimum 8, lower quartile 18, median 20, upper quartile 27 and maximum 36. Work out the interquartile range.
- 21st December 1975A bill is £96 including VAT at 20%. Work out the amount before VAT.
- 22nd December 1975Make x the subject of y = 5x^2 - 2.
- 23rd December 1975Write the ratio 4 : 28 in the form 1 : n.
- 24th December 1975The bearing of B from A is 303°. Work out the bearing of A from B.
- 25th December 1975A bag holds 6 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
- 26th December 1975A scatter graph plots the temperature outside and the number of hot drinks sold. What type of correlation would you expect?
- 27th December 1975Work out (36 x 10^12) / (4 x 10^2). Give your answer in standard form.
- 28th December 1975The angles in a triangle are 3x°, x° and (x + 50)°. Form an equation and work out x.
- 29th December 1975A coach travels 20 km in 0.5 hours, then 70 km in 1.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
- 30th December 1975A goat is tied to a post in an open field by a rope 6 m long. Describe the region of grass it can reach.
- 31st December 1975A bag holds 10 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.