Daily Practice · 13+ Common Entrance
June 2021 - 13+ Common Entrance 5-a-day
Every 13+ Common Entrance sheet published in June 2021, with answers. Common Entrance english, maths and science.
Every sheet in June 2021
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2021In a right-angled triangle, the hypotenuse is 13 cm and one other side is 5 cm. Work out the size of the angle opposite the 5 cm side, to 1 decimal place.
- 2nd June 2021A triangle has sides 7 cm and 9 cm with an included angle of 50 degrees. Work out its area, to 1 decimal place.
- 3rd June 2021Work out the mean of 8, 12, 15, 9 and 11.
- 4th June 2021Find 25% of 84 pounds.
- 5th June 2021Name the joint type found in the hip, and state one other place in the body where this same joint type is found.
- 6th June 2021Complete the word equation: hydrochloric acid + sodium hydroxide produces ___ + ___.
- 7th June 2021A wave has a frequency of 50 Hz and a wavelength of 4 m. Use wave speed = frequency x wavelength to calculate its speed.
- 8th June 2021State the pH of a neutral solution such as pure water.
- 9th June 2021State whether the Earth casting a shadow that blocks sunlight from reaching the Moon is called a solar eclipse or a lunar eclipse.
- 10th June 2021State whether an acid has a pH value above or below 7.
- 11th June 2021A hazard symbol shows a skull and crossbones on an orange background. State what hazard this represents.
- 12th June 2021A question is worth 5 marks and asks you to explain how the writer builds a sense of danger across a paragraph. Roughly how many separate, developed points should your answer include?
- 13th June 2021A travel article is written for a general newspaper audience rather than for expert climbers. How might its vocabulary and level of detail differ from a specialist mountaineering magazine?
- 14th June 2021In a report, a word is defined as follows: 'The submersible's hull must withstand immense pressure at such depths, where a single flaw could prove catastrophic.' What does 'catastrophic' mean here?
- 15th June 2021Name the technique used in this slogan: Reduce. Reuse. Recycle.
- 16th June 2021Write an expanded noun phrase, using at least two describing words, for 'the alleyway at dusk.'
- 17th June 2021Rewrite this sentence, replacing the vague capitalised word with a more precise alternative, keeping the meaning: "The station was BUSY."
- 18th June 2021Write an expanded noun phrase, using at least two describing words, for "the fruit stall."
- 19th June 2021A coin is flipped 200 times and lands on heads 118 times. Calculate the relative frequency of landing on heads.
- 20th June 2021A right-angled triangle has shorter sides of 5 cm and 12 cm. Work out the length of the hypotenuse.
- 21st June 2021The nth term of a sequence is 4n + 3. Work out the 20th term.
- 22nd June 2021Work out 84 / 12.
- 23rd June 2021A class recorded how many books each of 25 students read in a month: 5 students read 0-2 books, 12 students read 3-5 books, and 8 students read 6-8 books. Using midpoints 1, 4 and 7, estimate the mean number of books read.
- 24th June 2021Prove that the sum of any three consecutive integers is always a multiple of 3.
- 25th June 2021p = 5, q = -2. Work out the value of 3p + q.
- 26th June 2021A bag has 4 yellow and 6 purple counters. Find the probability of picking a purple counter.
- 27th June 2021Write 3/8 as a percentage.
- 28th June 2021In pea plants, the allele for tall (T) is dominant over the allele for short (t). State the possible genotype(s) of a tall pea plant.
- 29th June 2021State two factors, other than using a catalyst, that increase the rate of a reaction between a solid and a solution.
- 30th June 2021State one reason, other than cost, why a country might want to reduce its reliance on non-renewable energy resources such as coal and oil.