Daily Practice · 13+ Common Entrance

June 1983 5-a-day

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June 1983

30 sheets · 150 questions · Years 7-8

Every sheet in June 1983

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 1983p is inversely proportional to q. When q = 3, p = 20. Work out p when q = 12.
  2. 2nd June 1983Find the midpoint of the line segment joining A(2, -3) and B(-6, 9).
  3. 3rd June 1983A train journey of 175 km takes 2.5 hours at a constant speed. Work out the speed in km/h.
  4. 4th June 1983A scatter graph plots the number of hours 10 students spent revising against their test scores. The points show that more hours of revision is generally associated with a higher test score, though not perfectly. Describe the type of correlation shown, and state one thing this correlation does not prove.
  5. 5th June 1983Simplify (3x^2 y^3)^2 divided by 9x^3 y^4, giving your answer as simply as possible.
  6. 6th June 1983Simplify 6a + 4b - 2a + 5b.
  7. 7th June 1983A car depreciates by 15% each year. It is worth 20,000 pounds now. Work out its value after 1 year.
  8. 8th June 1983Find 35% of 160 pounds.
  9. 9th June 1983Name the specialised cell in humans that is adapted with a long tail and many mitochondria to swim toward an egg cell.
  10. 10th June 1983State what happens to a catalyst during a chemical reaction.
  11. 11th June 1983A runner covers 400 m in 50 seconds at a constant speed. Use speed = distance / time to calculate her speed.
  12. 12th June 1983Some endothermic reactions cause the temperature of their surroundings to fall. Explain, in terms of energy, why this happens.
  13. 13th June 1983A trolley of mass 2 kg is raised to a height of 5 m. Use GPE = mass x gravitational field strength x height (g = 10 N/kg) to calculate its gravitational potential energy.
  14. 14th June 1983Name the planet in our solar system that is closest to the Sun.
  15. 15th June 1983Choose the correct homophone to complete the sentence: The team celebrated ___ victory together. (their / there / they're)
  16. 16th June 1983An apprentice is described as 'chewing the inside of his cheek and avoiding his master's eye.' What does this suggest about how he feels?
  17. 17th June 1983Which word means the same as "cluttered" in a sentence describing a messy attic: "crammed", "empty", "tidy" or "spacious"?
  18. 18th June 1983Rewrite this line of dialogue to remove the overused adverb, showing the emotion instead: 'I'm not scared,' she said bravely.
  19. 19th June 1983Identify whether this sentence is simple, compound or complex: The lights flickered, and the music started on its own.
  20. 20th June 1983Name the technique used in this line: New voices. New ideas. New confidence.
  21. 21st June 1983What is a rhetorical question, and why do persuasive writers use them?
  22. 22nd June 1983Calculate the value of 7 + 2 x (6 - 3) x 2, showing your method.
  23. 23rd June 1983p is inversely proportional to q. When q = 4, p = 15. Work out the value of p when q = 10.
  24. 24th June 1983A prize fund of 150 pounds is shared between two clubs in the ratio 2:3. Work out the larger share.
  25. 25th June 1983In a right-angled triangle, the angle at A is 50 degrees and the hypotenuse is 14 cm. Work out the length of the side opposite angle A, to 1 decimal place.
  26. 26th June 1983Find the midpoint of the line segment joining A(-5, -2) and B(9, 6).
  27. 27th June 1983A rectangle has an area of 84 cm^2 and a length of 9.6 cm. Work out its width, to 1 decimal place.
  28. 28th June 1983Decrease 350 pounds by 18%.
  29. 29th June 1983Work out 2/5 of 65.
  30. 30th June 1983Five pupils recorded the number of minutes they spent reading yesterday: 9, 13, 20, 11, 17. Find the mean number of minutes.