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Daily Practice · 13+ Common Entrance

December 1958 5-a-day

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December 1958

31 sheets · 155 questions · Years 7-8

December 1958 compilationAll answers

Every sheet in December 1958

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 1958Two numbers are in the ratio 4 : 7. Their sum is 66. Work out the difference between the two numbers.
  2. 2nd December 1958A shape is made from a rectangle measuring 12 cm by 8 cm, with a right-angled triangle of base 6 cm and height 8 cm removed from one corner. Work out the area of the remaining shape.
  3. 3rd December 1958Simplify sqrt(45) + sqrt(20), giving your answer in the form k sqrt(5).
  4. 4th December 1958A 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.
  5. 5th December 1958A journey of 84 km takes 1 hour 45 minutes. Work out the average speed in km/h.
  6. 6th December 1958A 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.
  7. 7th December 1958State the name of the structure that allows oxygen and nutrients to pass from a mother's blood to her developing foetus.
  8. 8th December 1958Name the salt produced when zinc reacts with sulfuric acid.
  9. 9th December 1958A student doubles the frequency of a wave while keeping its speed the same. State what happens to the wavelength.
  10. 10th December 1958Two identical bulbs are each connected on their own to an identical battery. State how the brightness of a bulb connected on its own compares with an identical bulb connected in series with a second bulb to the same type of battery.
  11. 11th December 1958State how long it takes, approximately, for the Moon to orbit the Earth once.
  12. 12th December 1958Name the type of teeth used mainly for cutting food.
  13. 13th December 1958State why it is good practice to run a quick preliminary (trial) experiment before starting the main investigation.
  14. 14th December 1958A writer describes the wind as "clawing at their jackets, determined to drag them off the mountain." Name the technique used here.
  15. 15th December 1958What do the letters PAF stand for when analysing a non-fiction text?
  16. 16th December 1958A 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?
  17. 17th December 1958Give one example of a statistic a writer might use to persuade readers to use fewer plastic bags.
  18. 18th December 1958Identify whether this sentence is simple, compound or complex: 'The wind howled, and the shutters rattled.'
  19. 19th December 1958Identify whether this sentence is simple, compound or complex: "The train arrived late."
  20. 20th December 1958Punctuate 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
  21. 21st December 1958Two coins are flipped at the same time. List all the possible outcomes, and find the probability of getting exactly one head.
  22. 22nd December 1958In 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.
  23. 23rd December 1958A cylindrical tin has radius 4 cm and height 15 cm. Work out its volume, to 3 significant figures. (Use pi = 3.14159.)
  24. 24th December 1958Simplify the ratio 32:12.
  25. 25th December 1958Two 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.
  26. 26th December 1958Simplify sqrt(50) - sqrt(8), giving your answer in the form k sqrt(2).
  27. 27th December 1958Factorise fully 10x + 15.
  28. 28th December 1958Work out 2^5 - 3^3.
  29. 29th December 1958A 750 gram box of cereal costs 2.40 pounds, and a 500 gram box of the same cereal costs 1.70 pounds. Which box offers better value for money? Show your working.
  30. 30th December 1958A pupil views onion cells under a microscope after adding a drop of iodine solution to the slide. State why the iodine solution was added.
  31. 31st December 1958A student dissolves ammonium nitrate in water and the temperature of the solution falls. State whether this process is exothermic or endothermic.