Daily Practice · 13+ Common Entrance

January 2024 - 13+ Common Entrance 5-a-day

Every 13+ Common Entrance sheet published in January 2024, with answers. Common Entrance english, maths and science.

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January 2024

31 sheets · 155 questions · Years 7-8

Every sheet in January 2024

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

  1. 1st January 2024Express 60 as a product of its prime factors, then use this to find the lowest common multiple (LCM) of 60 and 24.
  2. 2nd January 2024A right-angled triangle has two shorter sides of length 9 cm and 12 cm. Work out the length of the hypotenuse.
  3. 3rd January 2024A cafe sells 3 coffees at 2.40 pounds each and 2 teas at 1.60 pounds each. Work out the total cost, without a calculator.
  4. 4th January 2024y is directly proportional to x^2. When x = 3, y = 45. Work out y when x = 5.
  5. 5th January 2024A survey asked 30 people how many siblings they have: 9 have 0, 12 have 1, 6 have 2, 3 have 3. Work out the mean number of siblings.
  6. 6th January 2024A machine produces 480 items in a day that lasts 7.5 hours. Work out the number of items produced per hour.
  7. 7th January 2024Work out 6^2 - sqrt(49).
  8. 8th January 2024Write 0.6 as a fraction in its simplest form.
  9. 9th January 2024Two fair coins are tossed together. Find the probability of getting at least one tail.
  10. 10th January 2024Which of the seven life processes describes an organism getting rid of waste products made inside its body?
  11. 11th January 2024State the name of the change of state when a solid changes directly into a liquid.
  12. 12th January 2024A trolley of mass 20 kg is pushed with a resultant force of 60 N. Use force = mass x acceleration to calculate its acceleration.
  13. 13th January 2024Name the process by which plants lose water vapour from their leaves through tiny pores called stomata.
  14. 14th January 2024Name the structure inside a plant cell where photosynthesis takes place.
  15. 15th January 2024A pupil doubles the concentration of acid used in a reaction with a metal, keeping everything else the same. State what happens to the rate of the reaction.
  16. 16th January 2024A pupil is choosing between two thermometers to measure a temperature change of about 5 degrees C: one has markings every 2 degrees C, and the other has markings every 0.2 degrees C. State which thermometer would give the more precise reading, and explain why.
  17. 17th January 2024Write an expanded noun phrase, using at least two describing words, for "the map in the drawer."
  18. 18th January 2024Identify whether this sentence is simple, compound or complex: 'The fog rolled in from the sea.'
  19. 19th January 2024A character 'checked her watch for the third time in a minute and sighed.' What does this suggest about how she is feeling?
  20. 20th January 2024Which word class is 'cautiously' in the sentence 'She cautiously ran her glove along the rusted rail'?
  21. 21st January 2024A question asks you to "compare how the two poets present the sea." What is the best way to structure your answer?
  22. 22nd January 2024Give one example of emotive language a writer might use to persuade pupils that reading is enjoyable rather than a chore.
  23. 23rd January 2024In the line "Icicles hang like daggers from the eaves", which technique is used?
  24. 24th January 2024A triangular prism has a cross-sectional area of 15 cm^2 and a length of 12 cm. Calculate its volume.
  25. 25th January 2024Find 30% of 150.
  26. 26th January 2024Work out 13^2.
  27. 27th January 2024Find 5/6 of 72.
  28. 28th January 2024A recipe for 4 people uses 200g of butter. How much butter is needed for 10 people?
  29. 29th January 2024A tap fills a bucket at a constant rate of 3 litres every 2 minutes. Work out how many litres it fills in 10 minutes.
  30. 30th January 2024Calculate 74 - 38.
  31. 31st January 2024Work out -7 + 15.