Daily Practice · 13+ Common Entrance
June 1983 5-a-day
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.
- 1st June 1983p is inversely proportional to q. When q = 3, p = 20. Work out p when q = 12.
- 2nd June 1983Find the midpoint of the line segment joining A(2, -3) and B(-6, 9).
- 3rd June 1983A train journey of 175 km takes 2.5 hours at a constant speed. Work out the speed in km/h.
- 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.
- 5th June 1983Simplify (3x^2 y^3)^2 divided by 9x^3 y^4, giving your answer as simply as possible.
- 6th June 1983Simplify 6a + 4b - 2a + 5b.
- 7th June 1983A car depreciates by 15% each year. It is worth 20,000 pounds now. Work out its value after 1 year.
- 8th June 1983Find 35% of 160 pounds.
- 9th June 1983Name the specialised cell in humans that is adapted with a long tail and many mitochondria to swim toward an egg cell.
- 10th June 1983State what happens to a catalyst during a chemical reaction.
- 11th June 1983A runner covers 400 m in 50 seconds at a constant speed. Use speed = distance / time to calculate her speed.
- 12th June 1983Some endothermic reactions cause the temperature of their surroundings to fall. Explain, in terms of energy, why this happens.
- 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.
- 14th June 1983Name the planet in our solar system that is closest to the Sun.
- 15th June 1983Choose the correct homophone to complete the sentence: The team celebrated ___ victory together. (their / there / they're)
- 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?
- 17th June 1983Which word means the same as "cluttered" in a sentence describing a messy attic: "crammed", "empty", "tidy" or "spacious"?
- 18th June 1983Rewrite this line of dialogue to remove the overused adverb, showing the emotion instead: 'I'm not scared,' she said bravely.
- 19th June 1983Identify whether this sentence is simple, compound or complex: The lights flickered, and the music started on its own.
- 20th June 1983Name the technique used in this line: New voices. New ideas. New confidence.
- 21st June 1983What is a rhetorical question, and why do persuasive writers use them?
- 22nd June 1983Calculate the value of 7 + 2 x (6 - 3) x 2, showing your method.
- 23rd June 1983p is inversely proportional to q. When q = 4, p = 15. Work out the value of p when q = 10.
- 24th June 1983A prize fund of 150 pounds is shared between two clubs in the ratio 2:3. Work out the larger share.
- 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.
- 26th June 1983Find the midpoint of the line segment joining A(-5, -2) and B(9, 6).
- 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.
- 28th June 1983Decrease 350 pounds by 18%.
- 29th June 1983Work out 2/5 of 65.
- 30th June 1983Five pupils recorded the number of minutes they spent reading yesterday: 9, 13, 20, 11, 17. Find the mean number of minutes.