Daily Practice · Foundation Plus

July 1957 5-a-day

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July 1957

31 sheets · 155 questions · Grades 4-6

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The batch download puts all 5 tiers' July 1957 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.

Every sheet in July 1957

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 1957Four angles meet at a point. Three of them are 139°, 128° and 34°. Work out the fourth.
  2. 2nd July 1957A bag holds 5 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
  3. 3rd July 1957A cumulative frequency graph is drawn for 92 values. What cumulative frequency do you read across from to estimate the lower quartile?
  4. 4th July 1957Work out (18 x 10^6) / (9 x 10^4). Give your answer in standard form.
  5. 5th July 1957Does the point (3, 4) satisfy y > -x + 8?
  6. 6th July 1957Red and blue marbles are in the ratio 2 : 9. There are 26 red marbles. How many marbles are there altogether?
  7. 7th July 1957A prism has a triangular cross-section with base 4 cm and height 7 cm. The prism is 17 cm long. Work out its volume.
  8. 8th July 1957A bag holds 9 red and 3 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  9. 9th July 1957160 people were surveyed. 30 were adults, of whom 5 said yes. 55 of the children said yes. How many said yes altogether?
  10. 10th July 1957A meal deal has 6 mains, 5 sides and 3 drinks. How many different meals are possible?
  11. 11th July 1957A line has gradient -3 and passes through (5, -18). Work out its equation.
  12. 12th July 1957A map has a scale of 1 : 10000. Two villages are 12.5 cm apart on the map. How far apart are they in real life, in km?
  13. 13th July 1957Work out the size of one exterior angle of a regular octagon.
  14. 14th July 1957A biased coin lands on heads with probability 0.4. It is thrown 200 times. How many heads would you expect?
  15. 15th July 1957A box plot has minimum 3, lower quartile 5, median 11, upper quartile 16 and maximum 18. Work out the interquartile range.
  16. 16th July 1957A bill is £384 including VAT at 20%. Work out the amount before VAT.
  17. 17th July 1957Make x the subject of y = 3x^2 - 6.
  18. 18th July 1957A pack of 10 sponges costs £2.50. A pack of 40 costs £8.00. Which pack is better value?
  19. 19th July 1957The bearing of B from A is 015°. Work out the bearing of A from B.
  20. 20th July 1957A bag holds 6 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
  21. 21st July 1957A scatter graph plots a car's engine size and the miles it does per gallon. What type of correlation would you expect?
  22. 22nd July 1957Work out (30 x 10^12) / (6 x 10^4). Give your answer in standard form.
  23. 23rd July 1957The angles in a triangle are 3x°, x° and (x + 120)°. Form an equation and work out x.
  24. 24th July 1957Work out 30% of 200.
  25. 25th July 1957A goat is tied to a post in an open field by a rope 10 m long. Describe the region of grass it can reach.
  26. 26th July 1957A bag holds 2 red and 5 blue counters. One is taken, replaced, then another is taken. Work out the probability both are red.
  27. 27th July 1957Grouped data has five classes of width 5, the first being 0 < x <= 5. The frequencies in order are 3, 21, 16, 7, 11. Write down the modal class.
  28. 28th July 1957A meal deal has 7 mains, 9 sides and 5 drinks. How many different meals are possible?
  29. 29th July 1957Expand and simplify 3(7x + 3).
  30. 30th July 1957Write the ratio 3 : 27 in the form 1 : n.
  31. 31st July 1957A trapezium has parallel sides of 13 cm and 24 cm, 16 cm apart. Work out its area.

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