Daily Practice · 13+ Common Entrance
August 1955 5-a-day
Every sheet in August 1955
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1955A triangle is inscribed in a circle so that one of its sides is a diameter of the circle. Explain, using a circle theorem, why the angle at the third vertex (opposite that side) must be 90 degrees.
- 2nd August 1955Simplify 6a + 4b - 2a + 5b.
- 3rd August 1955A car depreciates by 15% each year. It is worth 20,000 pounds now. Work out its value after 1 year.
- 4th August 1955A laptop is on sale for 340 pounds after a 15% reduction. Calculate its original price.
- 5th August 1955On a microscope, the eyepiece lens has a magnification of x10 and the objective lens in use has a magnification of x40. Calculate the total magnification.
- 6th August 1955In the disappearing cross experiment, a student times how long it takes for a cross under the flask to disappear from view. Explain why a shorter time indicates a faster reaction.
- 7th August 1955A car's velocity increases from 5 m/s to 17 m/s in 4 seconds. Use acceleration = change in velocity / time taken to calculate its acceleration.
- 8th August 1955Name the reaction type in which a fuel reacts with oxygen, releasing energy as heat and light.
- 9th August 1955A solid is heated until it turns directly into a gas without becoming a liquid first. Name this change of state.
- 10th August 1955State the approximate time it takes for light from the Sun to reach the Earth.
- 11th August 1955Which punctuation mark is missing, and where, from this sentence: Bring your boots shin pads and water bottle to training.
- 12th August 1955An apprentice is described as 'chewing the inside of his cheek and avoiding his master's eye.' What does this suggest about how he feels?
- 13th August 1955Which word means the same as "cluttered" in a sentence describing a messy attic: "crammed", "empty", "tidy" or "spacious"?
- 14th August 1955Rewrite this line of dialogue to remove the overused adverb, showing the emotion instead: 'I'm not scared,' she said bravely.
- 15th August 1955Identify whether this sentence is simple, compound or complex: The lights flickered, and the music started on its own.
- 16th August 1955Name the technique used in this line: New voices. New ideas. New confidence.
- 17th August 1955Name the persuasive technique used in this slogan: 'Save money. Save time. Save the planet.'
- 18th August 1955Calculate the value of 7 + 2 x (6 - 3) x 2, showing your method.
- 19th August 1955The three angles of a triangle are in the ratio 2 : 3 : 4. Work out the size of the largest angle.
- 20th August 1955A prize fund of 150 pounds is shared between two clubs in the ratio 2:3. Work out the larger share.
- 21st August 1955In 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.
- 22nd August 1955Find the midpoint of the line segment joining A(-5, -2) and B(9, 6).
- 23rd August 1955A rectangle has an area of 84 cm^2 and a length of 9.6 cm. Work out its width, to 1 decimal place.
- 24th August 1955Decrease 350 pounds by 18%.
- 25th August 1955Work out 2/5 of 65.
- 26th August 1955Five pupils recorded the number of minutes they spent reading yesterday: 9, 13, 20, 11, 17. Find the mean number of minutes.
- 27th August 1955Name the organelle found in both plant and animal cells that is the site of aerobic respiration.
- 28th August 1955A block of wood has a mass of 60 g and a volume of 80 cm^3. Calculate its density.
- 29th August 1955A farmer weighing 900 N stands on the ground. Her boots have a total sole area of 0.03 m^2. Use pressure = force / area to calculate the pressure she exerts on the ground, giving your answer in Pa.
- 30th August 1955State the name given to a substance that speeds up a chemical reaction without being permanently used up itself.
- 31st August 1955State one advantage of using solar power to generate electricity, compared with burning fossil fuels.