Daily Practice · Foundation Plus
December 1986 5-a-day
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The batch download puts all 5 tiers' December 1986 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in December 1986
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st December 1986A coach travels 40 km in 1 hour, then 50 km in 2 hours. Work out the average speed for the whole journey, to 1 decimal place.
- 2nd December 1986The bearing of B from A is 164°. Work out the bearing of A from B.
- 3rd December 1986A bag holds 5 red and 7 blue counters. Two are taken without replacement. Work out the probability both are red.
- 4th December 1986Four classes in order have frequencies 10, 10, 9, 8. Write down the cumulative frequency at the end of the third class.
- 5th December 1986Work out (27 x 10^10) / (9 x 10^3). Give your answer in standard form.
- 6th December 1986For the curve y = 25/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 7th December 1986Callum drives 90 km in 1.5 hours. Work out the average speed in km/h.
- 8th December 1986A goat is tied to a post in an open field by a rope 3 m long. Describe the region of grass it can reach.
- 9th December 1986A bag holds 7 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
- 10th December 198615 newts are marked and released. Later 18 are caught, of which 2 are marked. Estimate the population.
- 11th December 1986A meal deal has 8 mains, 5 sides and 6 drinks. How many different meals are possible?
- 12th December 1986Factorise x^2 + 6x - 7.
- 13th December 1986Red and blue sweets are in the ratio 2 : 5. There are 8 red sweets. How many sweets are there altogether?
- 14th December 1986A trapezium has parallel sides of 14 cm and 21 cm, 4 cm apart. Work out its area.
- 15th December 1986A biased coin lands on heads with probability 0.25. It is thrown 100 times. How many heads would you expect?
- 16th December 1986A cumulative frequency graph is drawn for 168 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 17th December 1986A bill is £480 including VAT at 20%. Work out the amount before VAT.
- 18th December 1986Does the point (3, 10) satisfy y > 3x - 3?
- 19th December 1986A map has a scale of 1 : 10000. Two villages are 3.5 cm apart on the map. How far apart are they in real life, in km?
- 20th December 1986Four angles meet at a point. Three of them are 136°, 101° and 73°. Work out the fourth.
- 21st December 1986A bag holds 6 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
- 22nd December 1986200 people were surveyed. 90 were adults, of whom 5 said yes. 25 of the children said yes. How many said yes altogether?
- 23rd December 1986Work out (18 x 10^10) / (3 x 10^3). Give your answer in standard form.
- 24th December 1986A line has gradient -2 and passes through (1, -10). Work out its equation.
- 25th December 1986A pack of 7 batteries costs £2.80. A pack of 14 costs £5.46. Which pack is better value?
- 26th December 1986A prism has a triangular cross-section with base 20 cm and height 8 cm. The prism is 18 cm long. Work out its volume.
- 27th December 1986A bag holds 5 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
- 28th December 1986A box plot has minimum 7, lower quartile 16, median 23, upper quartile 28 and maximum 36. Work out the interquartile range.
- 29th December 1986A meal deal has 7 mains, 9 sides and 4 drinks. How many different meals are possible?
- 30th December 1986Make x the subject of y = 9x^2 - 5.
- 31st December 1986Work out 30% of 400.