Daily Practice · 13+ Common Entrance
July 2024 - 13+ Common Entrance 5-a-day
Every 13+ Common Entrance sheet published in July 2024, with answers. Common Entrance english, maths and science.
Every sheet in July 2024
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 2024A bag contains 12 red counters, 15 blue counters and 9 green counters only. A counter is picked at random. Work out the probability that it is blue, giving your answer as a decimal to 3 significant figures.
- 2nd July 2024Work out 3/4 + 1/6, giving your answer as a fraction in its simplest form.
- 3rd July 2024Two joggers start together at a park gate. One returns to the gate every 18 minutes, the other every 24 minutes. After how many minutes will they next be at the gate together?
- 4th July 2024Two parallel lines are cut by a transversal. One of the angles formed is 63 degrees. State the size of the co-interior (allied) angle on the same side of the transversal, and explain why.
- 5th July 2024Solve x^2 = 7x - 12.
- 6th July 2024Solve x^2 + 3x - 18 = 0.
- 7th July 2024Find 3^3 + sqrt(64).
- 8th July 2024120 pounds is shared between Leo and Maya in the ratio 3:5. Work out how much Maya receives.
- 9th July 2024Explain why muscles must work in antagonistic pairs rather than alone.
- 10th July 2024State whether a solution with pH 3 is acidic, neutral, or alkaline.
- 11th July 2024State one way, other than increasing the current, to increase the strength of an electromagnet made from a coil of wire around an iron core.
- 12th July 2024State what happens to the current in a series circuit if an extra identical bulb is added, assuming the battery voltage stays the same.
- 13th July 2024Name the organ system that carries electrical signals around the body to allow a fast reflex reaction, such as pulling a hand away from something hot.
- 14th July 2024Name the force that pulls all objects with mass towards each other, keeping planets in orbit.
- 15th July 2024On a graph of temperature (y-axis) against time (x-axis), a straight line rises from (0 s, 20 degrees C) to (40 s, 60 degrees C). Calculate the gradient of this line, and state what it represents.
- 16th July 2024In an extract, a climber "kept checking the rope, tugging it twice before every step." What does this suggest about the climber?
- 17th July 2024In a report, a word is defined as follows: 'The team faced constant setbacks - equipment failure, bad weather and dwindling supplies chipped away at morale.' What does 'dwindling' mean here?
- 18th July 2024A biography states that a scientist 'spent every evening after his factory shift teaching himself chemistry from borrowed textbooks.' What can a reader infer about this person from these facts?
- 19th July 2024An article opens with a short story about one seabird found tangled in plastic, before giving any wider statistics. What is this technique called?
- 20th July 2024Punctuate this line of speech correctly, adding inverted commas and any other punctuation needed, without changing the words: watch your step said the warden the path is icy
- 21st July 2024Identify whether this sentence is simple, compound or complex: "Although the platform was crowded, Amara found a seat by the window."
- 22nd July 2024Identify the fronted adverbial in this sentence: "Slowly, the shutters were raised one by one."
- 23rd July 2024A fair six-sided dice is rolled once. Find the probability of rolling a number greater than 4.
- 24th July 2024Write 3.6 x 10^-3 as an ordinary number.
- 25th July 2024A laptop valued at 900 pounds depreciates by 12% in its first year. Work out its value at the end of the first year.
- 26th July 2024Work out -15 + 4 x (-2).
- 27th July 2024A scatter graph plots the number of hours 10 students spent revising against their test scores. The points show that more hours of revision is generally associated with a higher test score, though not perfectly. Describe the type of correlation shown, and state one thing this correlation does not prove.
- 28th July 2024Simplify (3x^2 y^3)^2 divided by 9x^3 y^4, giving your answer as simply as possible.
- 29th July 2024Here are the first four terms of a sequence: 7, 11, 15, 19. Find an expression for the nth term.
- 30th July 2024Find the mean of 14, 18, 22, 16 and 20.
- 31st July 2024A jacket priced at 84 pounds is increased by 25% for the winter season. Calculate the new price.