Daily Practice · Foundation Plus
June 1957 5-a-day
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The batch download puts all 5 tiers' June 1957 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 1957
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 1957A prism has a triangular cross-section with base 18 cm and height 12 cm. The prism is 20 cm long. Work out its volume.
- 2nd June 1957A bag holds 2 red and 6 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
- 3rd June 1957In a survey 4 households own 1 car, 5 own 2 cars and 4 own 3 cars. Work out the mean number of cars, to 2 decimal places.
- 4th June 1957A meal deal has 7 mains, 8 sides and 3 drinks. How many different meals are possible?
- 5th June 1957Solve 2(x - 4) = 6.
- 6th June 1957A pack of 12 batteries costs £4.80. A pack of 36 costs £12.60. Which pack is better value?
- 7th June 1957Work out the size of one exterior angle of a regular decagon.
- 8th June 1957A biased coin lands on heads with probability 0.25. It is thrown 100 times. How many heads would you expect?
- 9th June 1957A box plot has a minimum of 4 and a maximum of 30. Work out the range.
- 10th June 1957A bill is £720 including VAT at 20%. Work out the amount before VAT.
- 11th June 1957Use v = u + at with u = 9, a = 6 and t = 5. Work out v.
- 12th June 1957Work out 10% of 160.
- 13th June 1957The bearing of B from A is 107°. Work out the bearing of A from B.
- 14th June 1957A bag holds 4 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
- 15th June 1957A line of best fit on a scatter graph has equation y = 7x + 17. Use it to estimate y when x = 8.
- 16th June 1957Work out (18 x 10^11) / (6 x 10^4). Give your answer in standard form.
- 17th June 19575 teas and 1 cake cost £12.15. 2 teas and 5 cakes cost £15.90. Find the price of a tea.
- 18th June 1957Write the ratio 6 : 48 in the form 1 : n.
- 19th June 1957A goat is tied to a post in an open field by a rope 5 m long. Describe the region of grass it can reach.
- 20th June 1957A bag holds 4 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
- 21st June 1957Four classes in order have frequencies 12, 7, 7, 12. Write down the cumulative frequency at the end of the third class.
- 22nd June 1957A meal deal has 8 mains, 7 sides and 2 drinks. How many different meals are possible?
- 23rd June 1957For the curve y = 2/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 24th June 1957A coach travels 60 km in 1.5 hours, then 90 km in 2 hours. Work out the average speed for the whole journey, to 1 decimal place.
- 25th June 1957A trapezium has parallel sides of 7 cm and 12 cm, 8 cm apart. Work out its area.
- 26th June 1957A biased coin lands on heads with probability 0.25. It is thrown 500 times. How many heads would you expect?
- 27th June 195725 fish are marked and released. Later 35 are caught, of which 7 are marked. Estimate the population.
- 28th June 1957A bill is £720 including VAT at 20%. Work out the amount before VAT.
- 29th June 1957Factorise x^2 - 3x - 54.
- 30th June 1957Rohan drives 240 km in 3 hours. Work out the average speed in km/h.