Daily Practice · 13+ Common Entrance

December 2020 - 13+ Common Entrance 5-a-day

Every 13+ Common Entrance sheet published in December 2020, with answers. Common Entrance english, maths and science.

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December 2020

31 sheets · 155 questions · Years 7-8

Every sheet in December 2020

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 2020A cylindrical bucket has radius 12 cm and height 25 cm. Work out its volume, to 3 significant figures. (Use pi = 3.14159.)
  2. 2nd December 2020Work out sqrt(169) + 4^2.
  3. 3rd December 2020Increase 240 pounds by 12%.
  4. 4th December 2020Work out 312 divided by 8, using a written method.
  5. 5th December 2020The list shows the number of pets owned by 9 pupils: 0, 1, 1, 2, 3, 1, 2, 0, 1. Write down the mode.
  6. 6th December 2020During vigorous exercise, a sprinter's muscles cannot get enough oxygen. Name the substance that builds up in the muscles as a result, and state one effect this has.
  7. 7th December 2020The density of olive oil is 0.92 g/cm^3. State, with a reason, whether olive oil would float or sink in water (density 1.0 g/cm^3).
  8. 8th December 2020A parcel of mass 2.5 kg is lifted onto a shelf 2 m above the ground. Take g = 10 N/kg and use GPE = mass x g x height. Calculate the gain in gravitational potential energy.
  9. 9th December 2020Name the type of blood vessel that carries blood away from the heart under high pressure.
  10. 10th December 2020State whether gold is a very reactive or a very unreactive metal, given that it is found in the Earth as the pure metal rather than in a compound.
  11. 11th December 2020State the name given to elements found in Group 1 of the periodic table.
  12. 12th December 2020Before starting a watering investigation, a pupil writes this prediction: a plant given more water each day will grow taller than one given less water. State one piece of scientific reasoning that could support this prediction.
  13. 13th December 2020Identify whether this sentence is simple, compound or complex: "Dust rose from the floor, and Elias covered his mouth."
  14. 14th December 2020Rewrite this sentence, replacing the vague capitalised word with a more precise alternative, keeping the meaning: 'The old house was SCARY.'
  15. 15th December 2020Which word from 'the tannoy crackled out another indistinct apology' suggests the announcement was hard to understand?
  16. 16th December 2020A diver 'counted her breaths, trying to make each one last longer than the last.' What does this suggest about her situation?
  17. 17th December 2020In a poem, the line "Waves gnaw at the cliff's grey chin" contains an example of which technique?
  18. 18th December 2020An article states 'Pupils who read for pleasure for just ten minutes a day report feeling calmer.' Name the technique used here.
  19. 19th December 2020A poem describes wind as "howling" and "moaning" through bare branches. Name the technique shown by these two words.
  20. 20th December 2020Calculate the circumference of a circle with a radius of 9 cm. Use pi = 3.14.
  21. 21st December 2020Round 6.849 to 1 decimal place.
  22. 22nd December 2020A coat costs 80 pounds. Its price increases by 25%. Work out the new price.
  23. 23rd December 2020A prize of 240 pounds is shared between three friends in the ratio 1:2:5. Work out the smallest share.
  24. 24th December 2020A map has a scale of 1:20000. Two towns are 7cm apart on the map. Work out the real distance between them, in km.
  25. 25th December 2020Work out 3 + 6 x 2 - 4.
  26. 26th December 2020A recipe uses 2 eggs for every 150 g of flour. Work out how many grams of flour are needed for 5 eggs, at the same ratio.
  27. 27th December 2020Work out -3 - 6.
  28. 28th December 2020Work out -9 + 15.
  29. 29th December 2020Name the food group that provides the body with the most energy per gram.
  30. 30th December 2020State the property used to arrange the elements in order in the modern periodic table.
  31. 31st December 2020An astronaut has a mass of 70 kg on Earth. State her mass on the Moon, and explain why her weight on the Moon is less than her weight on Earth.