Daily Practice · 13+ Common Entrance

April 1981 5-a-day

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April 1981

30 sheets · 150 questions · Years 7-8

Every sheet in April 1981

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st April 1981In a right-angled triangle, the angle at A is 32 degrees and the adjacent side is 9 cm. Work out the length of the hypotenuse, to 1 decimal place.
  2. 2nd April 1981A cylindrical tin has radius 4 cm and height 15 cm. Work out its volume, to 3 significant figures. (Use pi = 3.14159.)
  3. 3rd April 1981Simplify the ratio 32:12.
  4. 4th April 1981A 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 April 1981Simplify (3x^2 y^3)^2 divided by 9x^3 y^4, giving your answer as simply as possible.
  6. 6th April 1981Factorise fully 10x + 15.
  7. 7th April 1981Work out 2^5 - 3^3.
  8. 8th April 1981A 750 gram box of cereal costs 2.40 pounds, and a 500 gram box of the same cereal costs 1.70 pounds. Which box offers better value for money? Show your working.
  9. 9th April 1981Name the specialised cell in humans that is adapted with a long tail and many mitochondria to swim toward an egg cell.
  10. 10th April 1981State what happens to a catalyst during a chemical reaction.
  11. 11th April 1981State whether solar power is a renewable or a non-renewable energy resource.
  12. 12th April 1981A book rests on a table and does not move. Name the force from the table that balances the book's weight.
  13. 13th April 1981A 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 April 1981Name the planet in our solar system that is closest to the Sun.
  15. 15th April 1981Which sentence uses a semicolon correctly? A) The whistle blew; and the players stopped. B) The whistle blew; the players stopped at once.
  16. 16th April 1981A writer describes sawdust as 'settling like a light snowfall over every surface.' Name the technique used.
  17. 17th April 1981In an extract, a character "kept glancing at the door and twisting the strap of her bag." What does this suggest about the character's feelings?
  18. 18th April 1981Write one short sentence (no more than five words) suitable for a moment of sudden shock in a story.
  19. 19th April 1981Identify whether this sentence is simple, compound or complex: The gates creaked open.
  20. 20th April 1981What is the effect of directly addressing an audience as 'you' in a speech?
  21. 21st April 1981A charity advert says: 'You could change a child's life today.' Which word directly addresses the reader, and what effect does this have?
  22. 22nd April 1981Express 60 as a product of its prime factors, then use this to find the lowest common multiple (LCM) of 60 and 24.
  23. 23rd April 1981p is inversely proportional to q. When q = 4, p = 15. Work out the value of p when q = 10.
  24. 24th April 1981A cafe sells 3 coffees at 2.40 pounds each and 2 teas at 1.60 pounds each. Work out the total cost, without a calculator.
  25. 25th April 1981y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 5.
  26. 26th April 1981A survey asked 30 people how many siblings they have: 9 have 0, 12 have 1, 6 have 2, 3 have 3. Work out the mean number of siblings.
  27. 27th April 1981A machine produces 480 items in a day that lasts 7.5 hours. Work out the number of items produced per hour.
  28. 28th April 1981Work out 6^2 - sqrt(49).
  29. 29th April 1981Write 0.6 as a fraction in its simplest form.
  30. 30th April 1981Two fair coins are tossed together. Find the probability of getting at least one tail.