Daily Practice · 13+ Common Entrance
April 1981 5-a-day
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.
- 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.
- 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.)
- 3rd April 1981Simplify the ratio 32:12.
- 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.
- 5th April 1981Simplify (3x^2 y^3)^2 divided by 9x^3 y^4, giving your answer as simply as possible.
- 6th April 1981Factorise fully 10x + 15.
- 7th April 1981Work out 2^5 - 3^3.
- 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.
- 9th April 1981Name the specialised cell in humans that is adapted with a long tail and many mitochondria to swim toward an egg cell.
- 10th April 1981State what happens to a catalyst during a chemical reaction.
- 11th April 1981State whether solar power is a renewable or a non-renewable energy resource.
- 12th April 1981A book rests on a table and does not move. Name the force from the table that balances the book's weight.
- 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.
- 14th April 1981Name the planet in our solar system that is closest to the Sun.
- 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.
- 16th April 1981A writer describes sawdust as 'settling like a light snowfall over every surface.' Name the technique used.
- 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?
- 18th April 1981Write one short sentence (no more than five words) suitable for a moment of sudden shock in a story.
- 19th April 1981Identify whether this sentence is simple, compound or complex: The gates creaked open.
- 20th April 1981What is the effect of directly addressing an audience as 'you' in a speech?
- 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?
- 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.
- 23rd April 1981p is inversely proportional to q. When q = 4, p = 15. Work out the value of p when q = 10.
- 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.
- 25th April 1981y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 5.
- 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.
- 27th April 1981A machine produces 480 items in a day that lasts 7.5 hours. Work out the number of items produced per hour.
- 28th April 1981Work out 6^2 - sqrt(49).
- 29th April 1981Write 0.6 as a fraction in its simplest form.
- 30th April 1981Two fair coins are tossed together. Find the probability of getting at least one tail.