Daily Practice · 13+ Common Entrance

September 1971 5-a-day

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September 1971

30 sheets · 150 questions · Years 7-8

Every sheet in September 1971

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st September 1971A class recorded how many books each of 25 students read in a month: 5 students read 0-2 books, 12 students read 3-5 books, and 8 students read 6-8 books. Using midpoints 1, 4 and 7, estimate the mean number of books read.
  2. 2nd September 1971Prove that the sum of any three consecutive integers is always a multiple of 3.
  3. 3rd September 1971Expand 4(3x + 2).
  4. 4th September 1971Work out 12.6 divided by 0.3.
  5. 5th September 1971Calculate the simple interest earned on 600 pounds saved for 3 years at an annual rate of 4%.
  6. 6th September 1971In pea plants, the allele for tall (T) is dominant over the allele for short (t). State the possible genotype(s) of a tall pea plant.
  7. 7th September 1971State two factors, other than using a catalyst, that increase the rate of a reaction between a solid and a solution.
  8. 8th September 1971A wind turbine and a coal power station both generate electricity, but only one of them directly burns fuel to boil water into steam. State which one this is, and name the component that this steam turns.
  9. 9th September 1971A car accelerates from rest to 20 m/s in 4 s. Calculate its acceleration, using acceleration = change in velocity / time.
  10. 10th September 1971Name the two products of photosynthesis.
  11. 11th September 1971A pupil adds universal indicator to a solution and it turns red. State whether the solution is acidic, alkaline or neutral.
  12. 12th September 1971Add an apostrophe in the correct place: The two teams kits were both muddy after the match. (There is one kit set per team, and two teams in total.)
  13. 13th September 1971In the sentence 'The old clock in the hallway ticked with the patience of a watchman,' which word gives the clock a human quality?
  14. 14th September 1971A character mutters "It's nothing" while quickly hiding a letter in his pocket. Explain what the contrast between his words and actions suggests.
  15. 15th September 1971Explain one way an ending can 'connect back' to the opening of a story.
  16. 16th September 1971Identify whether this sentence is simple, compound or complex: Although the fair had closed years ago, the carousel still turned.
  17. 17th September 1971Give one example of emotive language a speaker might use to persuade pupils that public speaking is worth the risk.
  18. 18th September 1971A speech opens with the line: 'Imagine losing your home in a single night.' What technique is this, and why is it an effective opening?
  19. 19th September 1971Round 4826 to the nearest hundred.
  20. 20th September 1971Solve x^2 + 3x - 10 = 0.
  21. 21st September 1971Without a calculator, work out 35% of 220.
  22. 22nd September 1971Solve x^2 + 4x - 21 = 0.
  23. 23rd September 1971A motorbike valued at 5,500 pounds depreciates by 18% in its first year. Work out its value at the end of the first year.
  24. 24th September 1971Work out 4.7 x 3.6, giving your answer to 1 decimal place.
  25. 25th September 1971A car travels 189 miles using 7 gallons of fuel. Work out the miles per gallon.
  26. 26th September 1971A pair of trainers costs 45 pounds. The price increases by 20%. Work out the new price.
  27. 27th September 1971A bag contains 5 red counters and 7 blue counters. Two counters are taken from the bag at random, one after the other, without replacement. Find the probability that both counters are the same colour.
  28. 28th September 1971Put these organs in the order food passes through them during digestion: large intestine, mouth, stomach, small intestine, oesophagus.
  29. 29th September 1971A pupil finds the volume of an irregular stone using a measuring cylinder. The water level rises from 35 cm^3 to 52 cm^3 when the stone is added. The stone has a mass of 42.5 g. Calculate the density of the stone, giving your answer to 2 significant figures.
  30. 30th September 1971State whether the main force acting when a compass needle points north is a contact force or a non-contact force.