Daily Practice · 13+ Common Entrance

October 1987 5-a-day

← Today's 13+ Common Entrance sheet

October 1987

31 sheets · 155 questions · Years 7-8

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.

  1. 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.
  2. 2nd October 1987Find 3/5 of 120.
  3. 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.
  4. 4th October 1987Simplify (3x^2 y^3)^2 divided by 9x^3 y^4, giving your answer as simply as possible.
  5. 5th October 1987Solve 5x - 4 = 21.
  6. 6th October 1987A train travels 245 km in 3.5 hours. Work out its average speed.
  7. 7th October 1987A laptop is on sale for 340 pounds after a 15% reduction. Calculate its original price.
  8. 8th October 1987Name the specialised cell in humans that is adapted with a long tail and many mitochondria to swim toward an egg cell.
  9. 9th October 1987State what happens to a catalyst during a chemical reaction.
  10. 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.
  11. 11th October 1987Name the reaction type in which a fuel reacts with oxygen, releasing energy as heat and light.
  12. 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.
  13. 13th October 1987Name the planet in our solar system that is closest to the Sun.
  14. 14th October 1987Which punctuation mark is missing, and where, from this sentence: Bring your boots shin pads and water bottle to training.
  15. 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?
  16. 16th October 1987A question asks you to "find and copy one word" meaning "silent." Which of these fits: "hushed", "loud", "busy" or "bright"?
  17. 17th October 1987Identify the four stages of a well-structured short narrative.
  18. 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
  19. 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?
  20. 20th October 1987Name the persuasive technique used in this slogan: 'Save money. Save time. Save the planet.'
  21. 21st October 1987List all the factors of 30, and state the highest common factor (HCF) of 30 and 45.
  22. 22nd October 1987p is inversely proportional to q. When q = 4, p = 15. Work out the value of p when q = 10.
  23. 23rd October 1987Simplify 7x - 3y + 2x + 8y.
  24. 24th October 1987A right-angled triangle has shorter sides of 7 cm and 24 cm. Work out the length of the hypotenuse.
  25. 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.
  26. 26th October 1987Work out 15% of 340 pounds.
  27. 27th October 1987Work out 8.3 x 5.2, giving your answer to 1 decimal place.
  28. 28th October 1987Simplify the ratio 45:60.
  29. 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.
  30. 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.
  31. 31st October 1987Name the technique used to separate sand from a mixture of sand and water.