Daily Practice · Foundation Plus
January 1975 5-a-day
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The batch download puts all 5 tiers' January 1975 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in January 1975
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1975Work out (24 x 10^8) / (4 x 10^5). Give your answer in standard form.
- 2nd January 1975For the curve y = -50/x, work out y when x = 5, and write down the equation of its vertical asymptote.
- 3rd January 1975A map has a scale of 1 : 10000. Two villages are 5.5 cm apart on the map. How far apart are they in real life, in km?
- 4th January 1975A goat is tied to a post in an open field by a rope 7 m long. Describe the region of grass it can reach.
- 5th January 1975A bag holds 3 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
- 6th January 197545 beetles are marked and released. Later 88 are caught, of which 8 are marked. Estimate the population.
- 7th January 1975A meal deal has 8 mains, 7 sides and 3 drinks. How many different meals are possible?
- 8th January 1975Factorise x^2 + 2x - 63.
- 9th January 1975A pack of 8 teabags costs £3.60. A pack of 32 costs £13.12. Which pack is better value?
- 10th January 1975A trapezium has parallel sides of 4 cm and 6 cm, 14 cm apart. Work out its area.
- 11th January 1975A biased coin lands on heads with probability 0.15. It is thrown 200 times. How many heads would you expect?
- 12th January 1975A cumulative frequency graph is drawn for 64 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 13th January 1975A bill is £576 including VAT at 20%. Work out the amount before VAT.
- 14th January 1975Does the point (-4, 23) satisfy y > -4x + 5?
- 15th January 1975Work out 30% of 100.
- 16th January 1975Four angles meet at a point. Three of them are 110°, 62° and 68°. Work out the fourth.
- 17th January 1975A bag holds 4 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
- 18th January 1975200 people were surveyed. 70 were adults, of whom 5 said yes. 20 of the children said yes. How many said yes altogether?
- 19th January 1975Work out (63 x 10^11) / (9 x 10^5). Give your answer in standard form.
- 20th January 1975A line has gradient -4 and passes through (4, -14). Work out its equation.
- 21st January 1975Write the ratio 8 : 16 in the form 1 : n.
- 22nd January 1975A prism has a triangular cross-section with base 18 cm and height 7 cm. The prism is 12 cm long. Work out its volume.
- 23rd January 1975A bag holds 5 red and 6 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
- 24th January 1975A box plot has minimum 7, lower quartile 15, median 19, upper quartile 21 and maximum 29. Work out the interquartile range.
- 25th January 1975A meal deal has 5 mains, 7 sides and 6 drinks. How many different meals are possible?
- 26th January 1975Make x the subject of y = 9x^2 - 9.
- 27th January 1975A coach travels 20 km in 0.5 hours, then 30 km in 2 hours. Work out the average speed for the whole journey, to 1 decimal place.
- 28th January 1975Work out the size of one exterior angle of a regular pentagon.
- 29th January 1975A biased coin lands on heads with probability 0.4. It is thrown 500 times. How many heads would you expect?
- 30th January 1975A scatter graph plots rainfall in a week and the number of umbrellas sold. What type of correlation would you expect?
- 31st January 1975A bill is £792 including VAT at 20%. Work out the amount before VAT.