Daily Practice · Foundation Plus
December 1990 5-a-day
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The batch download puts all 5 tiers' December 1990 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1990
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 199010 voles are marked and released. Later 12 are caught, of which 3 are marked. Estimate the population.
- 2nd December 1990Work out (56 x 10^8) / (8 x 10^3). Give your answer in standard form.
- 3rd December 1990Factorise x^2 + 3x - 10.
- 4th December 1990Write the ratio 8 : 40 in the form 1 : n.
- 5th December 1990A prism has a triangular cross-section with base 22 cm and height 7 cm. The prism is 18 cm long. Work out its volume.
- 6th December 1990A bag holds 7 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
- 7th December 1990A cumulative frequency graph is drawn for 172 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 8th December 1990A meal deal has 3 mains, 8 sides and 6 drinks. How many different meals are possible?
- 9th December 1990Does the point (4, 20) satisfy y > 4x - 4?
- 10th December 1990A coach travels 80 km in 0.5 hours, then 60 km in 1 hour. Work out the average speed for the whole journey, to 1 decimal place.
- 11th December 1990Work out the size of one exterior angle of a regular decagon.
- 12th December 1990A biased coin lands on heads with probability 0.2. It is thrown 500 times. How many heads would you expect?
- 13th December 199080 people were surveyed. 40 were adults, of whom 5 said yes. 20 of the children said yes. How many said yes altogether?
- 14th December 1990A bill is £744 including VAT at 20%. Work out the amount before VAT.
- 15th December 1990A line has gradient -5 and passes through (6, -37). Work out its equation.
- 16th December 1990Yusuf drives 160 km in 4 hours. Work out the average speed in km/h.
- 17th December 1990The bearing of B from A is 121°. Work out the bearing of A from B.
- 18th December 1990A bag holds 3 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
- 19th December 1990A box plot has minimum 2, lower quartile 12, median 22, upper quartile 25 and maximum 30. Work out the interquartile range.
- 20th December 1990Work out (81 x 10^9) / (9 x 10^5). Give your answer in standard form.
- 21st December 1990Make x the subject of y = 4x^2 - 11.
- 22nd December 1990Red and blue raffle tickets are in the ratio 5 : 7. There are 35 red raffle tickets. How many raffle tickets are there altogether?
- 23rd December 1990A goat is tied to a post in an open field by a rope 4 m long. Describe the region of grass it can reach.
- 24th December 1990A bag holds 4 red and 6 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
- 25th December 1990A scatter graph plots a person's shoe size and their height. What type of correlation would you expect?
- 26th December 1990A meal deal has 9 mains, 7 sides and 4 drinks. How many different meals are possible?
- 27th December 1990The angles in a triangle are 3x°, 3x° and (x + 96)°. Form an equation and work out x.
- 28th December 1990A map has a scale of 1 : 10000. Two villages are 14 cm apart on the map. How far apart are they in real life, in km?
- 29th December 1990A trapezium has parallel sides of 13 cm and 16 cm, 14 cm apart. Work out its area.
- 30th December 1990A biased coin lands on heads with probability 0.2. It is thrown 500 times. How many heads would you expect?
- 31st December 1990Grouped data has five classes of width 5, the first being 20 < x <= 25. The frequencies in order are 21, 3, 11, 16, 7. Write down the modal class.