Daily Practice · Foundation Plus

June 1952 5-a-day

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June 1952

30 sheets · 150 questions · Grades 4-6

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The batch download puts all 5 tiers' June 1952 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.

Every sheet in June 1952

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

  1. 1st June 1952For the curve y = 28/x, work out y when x = -4, and write down the equation of its vertical asymptote.
  2. 2nd June 1952A coach travels 60 km in 1 hour, then 40 km in 2 hours. Work out the average speed for the whole journey, to 1 decimal place.
  3. 3rd June 1952The bearing of B from A is 332°. Work out the bearing of A from B.
  4. 4th June 1952A bag holds 8 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  5. 5th June 195240 newts are marked and released. Later 24 are caught, of which 6 are marked. Estimate the population.
  6. 6th June 1952Work out (25 x 10^8) / (5 x 10^4). Give your answer in standard form.
  7. 7th June 1952Factorise x^2 - 36.
  8. 8th June 1952Bea drives 160 km in 2 hours. Work out the average speed in km/h.
  9. 9th June 1952A goat is tied to a post in an open field by a rope 3 m long. Describe the region of grass it can reach.
  10. 10th June 1952A bag holds 5 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  11. 11th June 1952A cumulative frequency graph is drawn for 116 values. What cumulative frequency do you read across from to estimate the lower quartile?
  12. 12th June 1952A meal deal has 4 mains, 7 sides and 4 drinks. How many different meals are possible?
  13. 13th June 1952Does the point (-3, 0) satisfy y > x + 2?
  14. 14th June 1952Red and blue sweets are in the ratio 7 : 9. There are 56 red sweets. How many sweets are there altogether?
  15. 15th June 1952A trapezium has parallel sides of 3 cm and 6 cm, 18 cm apart. Work out its area.
  16. 16th June 1952A biased coin lands on heads with probability 0.2. It is thrown 250 times. How many heads would you expect?
  17. 17th June 1952190 people were surveyed. 50 were adults, of whom 15 said yes. 70 of the children said yes. How many said yes altogether?
  18. 18th June 1952A bill is £528 including VAT at 20%. Work out the amount before VAT.
  19. 19th June 1952A line has gradient -3 and passes through (4, -17). Work out its equation.
  20. 20th June 1952A map has a scale of 1 : 10000. Two villages are 9 cm apart on the map. How far apart are they in real life, in km?
  21. 21st June 1952Four angles meet at a point. Three of them are 58°, 58° and 180°. Work out the fourth.
  22. 22nd June 1952A bag holds 9 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  23. 23rd June 1952A box plot has minimum 7, lower quartile 10, median 16, upper quartile 21 and maximum 31. Work out the interquartile range.
  24. 24th June 1952Work out (24 x 10^11) / (4 x 10^4). Give your answer in standard form.
  25. 25th June 1952Make x the subject of y = 7x^2 - 3.
  26. 26th June 1952A pack of 12 batteries costs £5.40. A pack of 36 costs £14.04. Which pack is better value?
  27. 27th June 1952A prism has a triangular cross-section with base 10 cm and height 7 cm. The prism is 6 cm long. Work out its volume.
  28. 28th June 1952A bag holds 6 red and 2 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  29. 29th June 1952A scatter graph plots a runner's time for 100 m and the distance they can throw a ball. What type of correlation would you expect?
  30. 30th June 1952A meal deal has 5 mains, 6 sides and 4 drinks. How many different meals are possible?

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