Daily Practice · 13+ Common Entrance
January 2018 - 13+ Common Entrance 5-a-day
Every 13+ Common Entrance sheet published in January 2018, with answers. Common Entrance english, maths and science.
Every sheet in January 2018
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 2018A 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 January 2018Convert the recurring decimal 0.3636... (where the digits 36 recur) to a fraction in its simplest form.
- 3rd January 2018Two 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 January 2018Two 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 January 2018Factorise x^2 - 9x + 20.
- 6th January 2018Expand and simplify (2x - 3)(x + 4).
- 7th January 2018A car's value depreciates from 18,000 pounds to 14,400 pounds in one year. Work out the percentage decrease.
- 8th January 2018Work out 9 x 7.
- 9th January 2018Explain why muscles must work in antagonistic pairs rather than alone.
- 10th January 2018State whether a solution with pH 3 is acidic, neutral, or alkaline.
- 11th January 2018Name the circuit component whose symbol is a circle with a cross inside it.
- 12th January 2018Name the process by which digested food molecules pass from the small intestine into the blood.
- 13th January 2018An old-style filament light bulb transfers 100 J of electrical energy. Of this, 20 J is transferred usefully as light, and the rest is wasted as heat. Calculate the energy wasted as heat.
- 14th January 2018Name the force that pulls all objects with mass towards each other, keeping planets in orbit.
- 15th January 2018On 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 January 2018Which word means the same as "exhausted" in a sentence describing tired climbers: "drained", "energetic", "cheerful" or "restless"?
- 17th January 2018A biography states that a person 'taught herself to read at six using her grandfather's newspapers, and published her first book by twenty.' What can a reader infer about this person's character from these facts?
- 18th January 2018A travel brochure and a science textbook both describe coral reefs. Which is more likely to use exaggerated, emotive language, and why?
- 19th January 2018A leaflet states 'You could help save a hundred bottles a year.' Which word directly addresses the reader?
- 20th January 2018Identify whether this sentence is simple, compound or complex: 'The rain fell steadily.'
- 21st January 2018Write an expanded noun phrase, using at least two describing words, for "the suitcase on the platform."
- 22nd January 2018Identify whether this sentence is simple, compound or complex: "Crates of fruit lined the pavement."
- 23rd January 2018Find the mean of these test scores: 14, 18, 12, 20, 16.
- 24th January 2018Solve x^2 - 5x + 6 = 0.
- 25th January 2018A survey asked 25 people how many books they read last month: 6 people read 0, 10 read 1, 6 read 2, 3 read 3. Work out the mean number of books read.
- 26th January 2018Work out 60% of 45.
- 27th January 2018A 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 January 2018Simplify (3x^2 y^3)^2 divided by 9x^3 y^4, giving your answer as simply as possible.
- 29th January 2018Expand 4(3x + 2).
- 30th January 2018Work out 12.6 divided by 0.3.
- 31st January 2018Find 35% of 160 pounds.