Daily Practice · Foundation Plus

July 1958 5-a-day

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July 1958

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' July 1958 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in July 1958

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st July 1958Write the ratio 6 : 48 in the form 1 : n.
  2. 2nd July 1958A prism has a triangular cross-section with base 20 cm and height 9 cm. The prism is 19 cm long. Work out its volume.
  3. 3rd July 1958A bag holds 2 red and 6 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  4. 4th July 1958In a survey 9 households own 1 car, 6 own 2 cars and 3 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  5. 5th July 1958A meal deal has 3 mains, 4 sides and 4 drinks. How many different meals are possible?
  6. 6th July 1958Solve 5(x + 3) = 45.
  7. 7th July 1958A coach travels 80 km in 0.5 hours, then 20 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  8. 8th July 1958Work out the size of one exterior angle of a regular 12-sided polygon.
  9. 9th July 1958A biased coin lands on heads with probability 0.25. It is thrown 250 times. How many heads would you expect?
  10. 10th July 1958A box plot has a minimum of 8 and a maximum of 28. Work out the range.
  11. 11th July 1958A bill is £936 including VAT at 20%. Work out the amount before VAT.
  12. 12th July 1958Use v = u + at with u = 7, a = 4 and t = 3. Work out v.
  13. 13th July 1958Oliwia drives 90 km in 1.5 hours. Work out the average speed in km/h.
  14. 14th July 1958The bearing of B from A is 071°. Work out the bearing of A from B.
  15. 15th July 1958A bag holds 7 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  16. 16th July 1958A line of best fit on a scatter graph has equation y = 8x + 5. Use it to estimate y when x = 7.
  17. 17th July 1958Work out (12 x 10^12) / (6 x 10^3). Give your answer in standard form.
  18. 18th July 19585 teas and 1 cake cost £13.30. 4 teas and 2 cakes cost £12.80. Find the price of a tea.
  19. 19th July 1958Red and blue marbles are in the ratio 2 : 5. There are 20 red marbles. How many marbles are there altogether?
  20. 20th July 1958A goat is tied to a post in an open field by a rope 4 m long. Describe the region of grass it can reach.
  21. 21st July 1958A bag holds 6 red and 6 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  22. 22nd July 1958Four classes in order have frequencies 12, 8, 9, 4. Write down the cumulative frequency at the end of the third class.
  23. 23rd July 1958A meal deal has 7 mains, 9 sides and 5 drinks. How many different meals are possible?
  24. 24th July 1958For the curve y = -4/x, work out y when x = 2, and write down the equation of its vertical asymptote.
  25. 25th July 1958A map has a scale of 1 : 50000. Two villages are 3.5 cm apart on the map. How far apart are they in real life, in km?
  26. 26th July 1958A trapezium has parallel sides of 9 cm and 15 cm, 12 cm apart. Work out its area.
  27. 27th July 1958A biased coin lands on heads with probability 0.1. It is thrown 100 times. How many heads would you expect?
  28. 28th July 195825 fish are marked and released. Later 30 are caught, of which 6 are marked. Estimate the population.
  29. 29th July 1958A bill is £912 including VAT at 20%. Work out the amount before VAT.
  30. 30th July 1958Factorise x^2 - 7x + 6.
  31. 31st July 1958A pack of 5 pencils costs £1.00. A pack of 10 costs £1.40. Which pack is better value?

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