Daily Practice · 13+ Common Entrance
January 1975 5-a-day
Every sheet in January 1975
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st January 1975Find 3/8 of 64.
- 2nd January 1975After a 12% pay rise, Priya's monthly salary is 2,240 pounds. Work out her monthly salary before the pay rise.
- 3rd January 1975On a map with a scale of 1 : 25,000, two villages are 6.8 cm apart. Work out the real-life distance between the villages, in kilometres.
- 4th January 1975In 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.
- 5th January 1975A triangle has sides 7 cm and 9 cm with an included angle of 50 degrees. Work out its area, to 1 decimal place.
- 6th January 1975Work out the mean of 8, 12, 15, 9 and 11.
- 7th January 1975Find 25% of 84 pounds.
- 8th January 1975State two functions of the human skeleton.
- 9th January 1975Describe the test for carbon dioxide gas, and state the positive result.
- 10th January 1975State one way, other than increasing the current, to increase the strength of an electromagnet made from a coil of wire around an iron core.
- 11th January 1975State what happens to the current in a series circuit if an extra identical bulb is added, assuming the battery voltage stays the same.
- 12th January 1975Name 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.
- 13th January 1975A pupil measures the resultant force on an object as 0 N even though several forces are acting on it. State the term used to describe forces in this situation.
- 14th January 1975State the name given to a value read from a graph that lies between two points that were actually measured.
- 15th January 1975A 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?
- 16th January 1975A 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?
- 17th January 1975In 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?
- 18th January 1975Name the technique used in this slogan: Reduce. Reuse. Recycle.
- 19th January 1975Write an expanded noun phrase, using at least two describing words, for 'the alleyway at dusk.'
- 20th January 1975Rewrite this sentence, replacing the vague capitalised word with a more precise alternative, keeping the meaning: "The station was BUSY."
- 21st January 1975Write an expanded noun phrase, using at least two describing words, for "the fruit stall."
- 22nd January 1975A fair six-sided dice is rolled once. Find the probability of rolling a number greater than 4.
- 23rd January 1975A right-angled triangle has shorter sides of 5 cm and 12 cm. Work out the length of the hypotenuse.
- 24th January 1975The nth term of a sequence is 4n + 3. Work out the 20th term.
- 25th January 1975Work out 84 / 12.
- 26th January 1975A researcher wants to find the average pocket money received by pupils at a school, so she surveys only the pupils waiting outside the head teacher's office. Give one reason this is likely to produce a biased sample.
- 27th January 1975A triangle is inscribed in a circle so that one of its sides is a diameter of the circle. Explain, using a circle theorem, why the angle at the third vertex (opposite that side) must be 90 degrees.
- 28th January 1975p = 5, q = -2. Work out the value of 3p + q.
- 29th January 1975A bag has 4 yellow and 6 purple counters. Find the probability of picking a purple counter.
- 30th January 1975A jacket priced at 84 pounds is increased by 25% for the winter season. Calculate the new price.
- 31st January 1975On a microscope, the eyepiece lens has a magnification of x10 and the objective lens in use has a magnification of x40. Calculate the total magnification.