Daily Practice · 13+ Common Entrance
May 2022 - 13+ Common Entrance 5-a-day
Every 13+ Common Entrance sheet published in May 2022, with answers. Common Entrance english, maths and science.
Every sheet in May 2022
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2022A line has equation y = 4x - 7. Write down its gradient and its y-intercept.
- 2nd May 2022A 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.
- 3rd May 2022Write 0.72 as a percentage.
- 4th May 2022Two 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?
- 5th May 2022Two 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.
- 6th May 2022A chord divides a circle so that the angle at the centre is 130 degrees. Work out the angle at the circumference subtended by the same chord, on the major arc.
- 7th May 2022Factorise 2x^2 + 7x + 3.
- 8th May 2022A recipe uses 3 eggs for every 240 g of flour. Work out how many grams of flour are needed for 7 eggs, at the same ratio.
- 9th May 2022Work out 5 + 4 x 3 - 2.
- 10th May 2022Explain why muscles must work in antagonistic pairs rather than alone.
- 11th May 2022State whether a solution with pH 3 is acidic, neutral, or alkaline.
- 12th May 2022State whether sound is a transverse wave or a longitudinal wave.
- 13th May 2022Name the organ that produces bile, which helps to digest fats.
- 14th May 2022State whether melting ice is a physical change or a chemical change, and give a reason.
- 15th May 2022Name the force that pulls all objects with mass towards each other, keeping planets in orbit.
- 16th May 2022On 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.
- 17th May 2022A question asks you to "find and copy one word" meaning "extremely cold." Which of these fits: "freezing", "mild", "warm" or "humid"?
- 18th May 2022A factual article about volcanic islands is broken into sections titled 'How islands form', 'Life on the slopes' and 'Living with the risk'. What are these called, and what is their purpose?
- 19th May 2022You are asked to summarise a whole article in two sentences. What should you prioritise including?
- 20th May 2022Is the claim 'recycling is clearly the most important thing you can do for the planet' a fact or an opinion?
- 21st May 2022Identify whether this sentence is simple, compound or complex: 'Because the tide was rising, the children ran back up the beach.'
- 22nd May 2022Punctuate this line of speech correctly, adding inverted commas and any other punctuation needed, without changing the words: mind the gap called the guard as the doors slid shut
- 23rd May 2022Identify whether this sentence is simple, compound or complex: "A trader called out his prices, and shoppers began to gather."
- 24th May 2022A bag contains only red and yellow beads. The probability of picking a red bead is 0.65. If there are 140 beads in total, how many are yellow?
- 25th May 2022p is inversely proportional to q. When q = 3, p = 20. Work out p when q = 12.
- 26th May 2022Find the midpoint of the line segment joining A(2, -3) and B(-6, 9).
- 27th May 2022A train journey of 175 km takes 2.5 hours at a constant speed. Work out the speed in km/h.
- 28th May 2022A 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.
- 29th May 2022Simplify (3x^2 y^3)^2 divided by 9x^3 y^4, giving your answer as simply as possible.
- 30th May 2022Simplify 6a + 4b - 2a + 5b.
- 31st May 2022A car depreciates by 15% each year. It is worth 20,000 pounds now. Work out its value after 1 year.