Daily Practice · Foundation Plus

June 1967 5-a-day

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June 1967

30 sheets · 150 questions · Grades 4-6

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The batch download puts all 5 tiers' June 1967 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.

Every sheet in June 1967

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 1967For the curve y = -12/x, work out y when x = -4, and write down the equation of its vertical asymptote.
  2. 2nd June 1967A map has a scale of 1 : 50000. Two villages are 8 cm apart on the map. How far apart are they in real life, in km?
  3. 3rd June 1967A goat is tied to a post in an open field by a rope 6 m long. Describe the region of grass it can reach.
  4. 4th June 1967A bag holds 2 red and 6 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  5. 5th June 196725 voles are marked and released. Later 30 are caught, of which 3 are marked. Estimate the population.
  6. 6th June 1967A meal deal has 8 mains, 3 sides and 5 drinks. How many different meals are possible?
  7. 7th June 1967Factorise x^2 - 14x + 48.
  8. 8th June 1967A pack of 7 pencils costs £4.20. A pack of 28 costs £15.68. Which pack is better value?
  9. 9th June 1967A trapezium has parallel sides of 6 cm and 17 cm, 14 cm apart. Work out its area.
  10. 10th June 1967A biased coin lands on heads with probability 0.15. It is thrown 500 times. How many heads would you expect?
  11. 11th June 1967A cumulative frequency graph is drawn for 72 values. What cumulative frequency do you read across from to estimate the lower quartile?
  12. 12th June 1967A bill is £168 including VAT at 20%. Work out the amount before VAT.
  13. 13th June 1967Does the point (-3, 1) satisfy y > -4x - 8?
  14. 14th June 1967Work out 5% of 400.
  15. 15th June 1967Four angles meet at a point. Three of them are 104°, 84° and 78°. Work out the fourth.
  16. 16th June 1967A bag holds 4 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
  17. 17th June 1967110 people were surveyed. 30 were adults, of whom 10 said yes. 20 of the children said yes. How many said yes altogether?
  18. 18th June 1967Work out (6 x 10^12) / (3 x 10^5). Give your answer in standard form.
  19. 19th June 1967A line has gradient 5 and passes through (1, 8). Work out its equation.
  20. 20th June 1967Write the ratio 8 : 64 in the form 1 : n.
  21. 21st June 1967A prism has a triangular cross-section with base 20 cm and height 10 cm. The prism is 11 cm long. Work out its volume.
  22. 22nd June 1967A bag holds 2 red and 6 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  23. 23rd June 1967A box plot has minimum 7, lower quartile 9, median 15, upper quartile 24 and maximum 31. Work out the interquartile range.
  24. 24th June 1967A meal deal has 4 mains, 5 sides and 5 drinks. How many different meals are possible?
  25. 25th June 1967Make x the subject of y = 9x^2 - 2.
  26. 26th June 1967A coach travels 80 km in 1.5 hours, then 60 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  27. 27th June 1967Work out the size of one exterior angle of a regular octagon.
  28. 28th June 1967A biased coin lands on heads with probability 0.2. It is thrown 50 times. How many heads would you expect?
  29. 29th June 1967A scatter graph plots a house's floor area and its asking price. What type of correlation would you expect?
  30. 30th June 1967A bill is £696 including VAT at 20%. Work out the amount before VAT.

The same month at another level