Daily Practice · 13+ Common Entrance

December 1971 5-a-day

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December 1971

31 sheets · 155 questions · Years 7-8

Every sheet in December 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 December 1971Simplify sqrt(45) + sqrt(20), giving your answer in the form k sqrt(5).
  2. 2nd December 1971A chord subtends an angle of 76 degrees at the centre of a circle. Work out the angle it subtends at the circumference, on the major arc.
  3. 3rd December 1971A journey of 84 km takes 1 hour 45 minutes. Work out the average speed in km/h.
  4. 4th December 1971A car travels 210 km in 3.5 hours at a constant speed. Calculate how far it would travel in 5 hours at the same speed.
  5. 5th December 1971State the name of the structure that allows oxygen and nutrients to pass from a mother's blood to her developing foetus.
  6. 6th December 1971Name the salt produced when zinc reacts with sulfuric acid.
  7. 7th December 1971A wave has a frequency of 50 Hz and a wavelength of 4 m. Use wave speed = frequency x wavelength to calculate its speed.
  8. 8th December 1971State the pH of a neutral solution such as pure water.
  9. 9th December 1971State whether the Earth casting a shadow that blocks sunlight from reaching the Moon is called a solar eclipse or a lunar eclipse.
  10. 10th December 1971Name the type of teeth used mainly for cutting food.
  11. 11th December 1971State why it is good practice to run a quick preliminary (trial) experiment before starting the main investigation.
  12. 12th December 1971A writer describes the wind as "clawing at their jackets, determined to drag them off the mountain." Name the technique used here.
  13. 13th December 1971What do the letters PAF stand for when analysing a non-fiction text?
  14. 14th December 1971A newspaper report about a restored pier states: 'Engineers replaced over eleven thousand individual timbers during the two-year project.' What retrieval detail answers the question, how many timbers were replaced?
  15. 15th December 1971Give one example of a statistic a writer might use to persuade readers to use fewer plastic bags.
  16. 16th December 1971Identify whether this sentence is simple, compound or complex: 'The wind howled, and the shutters rattled.'
  17. 17th December 1971Identify whether this sentence is simple, compound or complex: "The train arrived late."
  18. 18th December 1971Punctuate this line of speech correctly, adding inverted commas and any other punctuation needed, without changing the words: fresh bread the baker called still warm from the oven
  19. 19th December 1971A coin is flipped 200 times and lands on heads 118 times. Calculate the relative frequency of landing on heads.
  20. 20th December 1971In a right-angled triangle, the angle at A is 32 degrees and the adjacent side is 9 cm. Work out the length of the hypotenuse, to 1 decimal place.
  21. 21st December 1971A cylindrical tin has radius 4 cm and height 15 cm. Work out its volume, to 3 significant figures. (Use pi = 3.14159.)
  22. 22nd December 1971Simplify the ratio 32:12.
  23. 23rd December 1971Two hockey teams recorded the number of goals they scored in their last 5 matches. Team A: 2, 3, 2, 4, 4. Team B: 0, 1, 5, 6, 3. Compare the two teams by working out the mean and the range for each.
  24. 24th December 1971Simplify sqrt(50) - sqrt(8), giving your answer in the form k sqrt(2).
  25. 25th December 1971Factorise fully 10x + 15.
  26. 26th December 1971Work out 2^5 - 3^3.
  27. 27th December 1971Write 3/8 as a percentage.
  28. 28th December 1971A pupil views onion cells under a microscope after adding a drop of iodine solution to the slide. State why the iodine solution was added.
  29. 29th December 1971A student dissolves ammonium nitrate in water and the temperature of the solution falls. State whether this process is exothermic or endothermic.
  30. 30th December 1971State one reason, other than cost, why a country might want to reduce its reliance on non-renewable energy resources such as coal and oil.
  31. 31st December 1971State whether a frog is classified as a vertebrate or an invertebrate, and give a reason.