Daily Practice · Foundation Plus

July 1968 5-a-day

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July 1968

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' July 1968 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in July 1968

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 1968For the curve y = -20/x, work out y when x = 5, and write down the equation of its vertical asymptote.
  2. 2nd July 1968Write the ratio 2 : 14 in the form 1 : n.
  3. 3rd July 1968A goat is tied to a post in an open field by a rope 12 m long. Describe the region of grass it can reach.
  4. 4th July 1968A bag holds 5 red and 4 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  5. 5th July 196835 newts are marked and released. Later 35 are caught, of which 5 are marked. Estimate the population.
  6. 6th July 1968A meal deal has 8 mains, 4 sides and 2 drinks. How many different meals are possible?
  7. 7th July 1968Factorise x^2 - 14x + 49.
  8. 8th July 1968A coach travels 20 km in 1 hour, then 60 km in 0.5 hours. Work out the average speed for the whole journey, to 1 decimal place.
  9. 9th July 1968A trapezium has parallel sides of 11 cm and 20 cm, 16 cm apart. Work out its area.
  10. 10th July 1968A biased coin lands on heads with probability 0.1. It is thrown 250 times. How many heads would you expect?
  11. 11th July 1968A cumulative frequency graph is drawn for 92 values. What cumulative frequency do you read across from to estimate the lower quartile?
  12. 12th July 1968A bill is £792 including VAT at 20%. Work out the amount before VAT.
  13. 13th July 1968Does the point (-3, -1) satisfy y > -x + 1?
  14. 14th July 1968Maeve drives 90 km in 2 hours. Work out the average speed in km/h.
  15. 15th July 1968Four angles meet at a point. Three of them are 119°, 131° and 74°. Work out the fourth.
  16. 16th July 1968A bag holds 3 red and 7 blue counters. Two are taken without replacement. Work out the probability both are red.
  17. 17th July 1968130 people were surveyed. 70 were adults, of whom 10 said yes. 20 of the children said yes. How many said yes altogether?
  18. 18th July 1968Work out (21 x 10^10) / (7 x 10^2). Give your answer in standard form.
  19. 19th July 1968A line has gradient 5 and passes through (6, 36). Work out its equation.
  20. 20th July 1968Red and blue stickers are in the ratio 5 : 8. There are 45 red stickers. How many stickers are there altogether?
  21. 21st July 1968A prism has a triangular cross-section with base 20 cm and height 5 cm. The prism is 4 cm long. Work out its volume.
  22. 22nd July 1968A bag holds 4 red and 5 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  23. 23rd July 1968A box plot has minimum 3, lower quartile 9, median 19, upper quartile 23 and maximum 28. Work out the interquartile range.
  24. 24th July 1968A meal deal has 9 mains, 9 sides and 5 drinks. How many different meals are possible?
  25. 25th July 1968Make x the subject of y = 2x^2 - 9.
  26. 26th July 1968A map has a scale of 1 : 50000. Two villages are 9.5 cm apart on the map. How far apart are they in real life, in km?
  27. 27th July 1968Work out the size of one exterior angle of a regular octagon.
  28. 28th July 1968A biased coin lands on heads with probability 0.2. It is thrown 100 times. How many heads would you expect?
  29. 29th July 1968A scatter graph plots the number of hours revised and the test mark. What type of correlation would you expect?
  30. 30th July 1968A bill is £816 including VAT at 20%. Work out the amount before VAT.
  31. 31st July 1968The angles in a triangle are 4x°, 2x° and (x + 33)°. Form an equation and work out x.

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