Daily Practice · 13+ Common Entrance
October 1987 5-a-day
Every sheet in October 1987
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1987A bag contains 8 red, 9 blue and 7 green counters only. A counter is picked at random. Work out the probability it is red, giving your answer as a decimal to 3 significant figures.
- 2nd October 1987Find 3/5 of 120.
- 3rd October 1987A 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.
- 4th October 1987Simplify (3x^2 y^3)^2 divided by 9x^3 y^4, giving your answer as simply as possible.
- 5th October 1987Solve 5x - 4 = 21.
- 6th October 1987A train travels 245 km in 3.5 hours. Work out its average speed.
- 7th October 1987A laptop is on sale for 340 pounds after a 15% reduction. Calculate its original price.
- 8th October 1987Name the specialised cell in humans that is adapted with a long tail and many mitochondria to swim toward an egg cell.
- 9th October 1987State what happens to a catalyst during a chemical reaction.
- 10th October 1987A 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.
- 11th October 1987Name the reaction type in which a fuel reacts with oxygen, releasing energy as heat and light.
- 12th October 1987A 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.
- 13th October 1987Name the planet in our solar system that is closest to the Sun.
- 14th October 1987Which punctuation mark is missing, and where, from this sentence: Bring your boots shin pads and water bottle to training.
- 15th October 1987A four-mark question asks you to explain the effect of the writer's language in one paragraph. Roughly how many separate points should your answer include?
- 16th October 1987A question asks you to "find and copy one word" meaning "silent." Which of these fits: "hushed", "loud", "busy" or "bright"?
- 17th October 1987Identify the four stages of a well-structured short narrative.
- 18th October 1987Punctuate this line of speech correctly, adding inverted commas and any other punctuation needed, without changing the words: dont go near the big wheel warned tom its not safe
- 19th October 1987A speaker opens with a short, true story about one shy pupil who became the club's best speaker. What is this technique called?
- 20th October 1987Name the persuasive technique used in this slogan: 'Save money. Save time. Save the planet.'
- 21st October 1987List all the factors of 30, and state the highest common factor (HCF) of 30 and 45.
- 22nd October 1987p is inversely proportional to q. When q = 4, p = 15. Work out the value of p when q = 10.
- 23rd October 1987Simplify 7x - 3y + 2x + 8y.
- 24th October 1987A right-angled triangle has shorter sides of 7 cm and 24 cm. Work out the length of the hypotenuse.
- 25th October 1987A bag contains 9 red, 8 blue and 7 green counters only. A counter is picked at random. Work out the probability it is green, giving your answer as a decimal to 3 significant figures.
- 26th October 1987Work out 15% of 340 pounds.
- 27th October 1987Work out 8.3 x 5.2, giving your answer to 1 decimal place.
- 28th October 1987Simplify the ratio 45:60.
- 29th October 1987A netball team played 20 matches. The table shows goals scored per match. Goals: 0, 1, 2, 3. Frequency: 4, 7, 6, 3. Calculate the mean number of goals per match.
- 30th October 1987A slice of toast contains 12 g of carbohydrate, 4 g of protein and 3 g of fat. Each gram of carbohydrate and each gram of protein provides 4 kcal of energy, and each gram of fat provides 9 kcal. Calculate the total energy content of the toast.
- 31st October 1987Name the technique used to separate sand from a mixture of sand and water.