Daily Practice · Foundation Plus

June 1975 5-a-day

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June 1975

30 sheets · 150 questions · Grades 4-6

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The batch download puts all 5 tiers' June 1975 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.

Every sheet in June 1975

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 1975A line has gradient 2 and passes through (2, 10). Work out its equation.
  2. 2nd June 1975A coach travels 50 km in 1 hour, then 50 km in 1.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  3. 3rd June 1975A trapezium has parallel sides of 7 cm and 10 cm, 14 cm apart. Work out its area.
  4. 4th June 1975A biased coin lands on heads with probability 0.1. It is thrown 500 times. How many heads would you expect?
  5. 5th June 1975A box plot has minimum 13, lower quartile 15, median 22, upper quartile 28 and maximum 38. Work out the interquartile range.
  6. 6th June 1975A bill is £144 including VAT at 20%. Work out the amount before VAT.
  7. 7th June 1975Make x the subject of y = 2x^2 - 6.
  8. 8th June 1975Ellis drives 180 km in 4 hours. Work out the average speed in km/h.
  9. 9th June 1975Four angles meet at a point. Three of them are 106°, 57° and 97°. Work out the fourth.
  10. 10th June 1975A bag holds 7 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
  11. 11th June 1975A scatter graph plots the temperature outside and the number of hot drinks sold. What type of correlation would you expect?
  12. 12th June 1975Work out (18 x 10^8) / (3 x 10^4). Give your answer in standard form.
  13. 13th June 1975The angles in a triangle are 4x°, x° and (x + 72)°. Form an equation and work out x.
  14. 14th June 1975Red and blue raffle tickets are in the ratio 4 : 5. There are 56 red raffle tickets. How many raffle tickets are there altogether?
  15. 15th June 1975A prism has a triangular cross-section with base 16 cm and height 13 cm. The prism is 7 cm long. Work out its volume.
  16. 16th June 1975A bag holds 3 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  17. 17th June 1975Grouped data has five classes of width 5, the first being 15 < x <= 20. The frequencies in order are 11, 3, 7, 21, 16. Write down the modal class.
  18. 18th June 1975A meal deal has 5 mains, 7 sides and 2 drinks. How many different meals are possible?
  19. 19th June 1975Expand and simplify 8(3x - 10).
  20. 20th June 1975A map has a scale of 1 : 25000. Two villages are 10 cm apart on the map. How far apart are they in real life, in km?
  21. 21st June 1975Work out the size of one exterior angle of a regular decagon.
  22. 22nd June 1975A biased coin lands on heads with probability 0.1. It is thrown 100 times. How many heads would you expect?
  23. 23rd June 1975Of 54 students, 27 study French, 27 study German and 11 study both. How many study neither?
  24. 24th June 1975A bill is £240 including VAT at 20%. Work out the amount before VAT.
  25. 25th June 1975A line has equation y = 6x - 24. Write down where it crosses the x-axis and where it crosses the y-axis.
  26. 26th June 1975A pack of 10 batteries costs £3.00. A pack of 40 costs £10.80. Which pack is better value?
  27. 27th June 1975The bearing of B from A is 127°. Work out the bearing of A from B.
  28. 28th June 1975A bag holds 7 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
  29. 29th June 1975In a survey 6 households own 1 car, 6 own 2 cars and 3 own 3 cars. Work out the mean number of cars, to 2 decimal places.
  30. 30th June 1975Work out (45 x 10^9) / (5 x 10^3). Give your answer in standard form.

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