Daily Practice · 13+ Common Entrance
September 1983 5-a-day
Every sheet in September 1983
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1983After a 12% pay rise, Priya's monthly salary is 2,240 pounds. Work out her monthly salary before the pay rise.
- 2nd September 1983On 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.
- 3rd September 1983Solve x^2 = 7x - 12.
- 4th September 1983Solve x^2 + 3x - 18 = 0.
- 5th September 1983Find 3^3 + sqrt(64).
- 6th September 1983120 pounds is shared between Leo and Maya in the ratio 3:5. Work out how much Maya receives.
- 7th September 1983State two functions of the human skeleton.
- 8th September 1983Describe the test for carbon dioxide gas, and state the positive result.
- 9th September 1983A student doubles the frequency of a wave while keeping its speed the same. State what happens to the wavelength.
- 10th September 1983Two identical bulbs are each connected on their own to an identical battery. State how the brightness of a bulb connected on its own compares with an identical bulb connected in series with a second bulb to the same type of battery.
- 11th September 1983State how long it takes, approximately, for the Moon to orbit the Earth once.
- 12th September 1983A 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.
- 13th September 1983State the name given to a value read from a graph that lies between two points that were actually measured.
- 14th September 1983In an extract, a climber "kept checking the rope, tugging it twice before every step." What does this suggest about the climber?
- 15th September 1983In 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?
- 16th September 1983A 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?
- 17th September 1983An article opens with a short story about one seabird found tangled in plastic, before giving any wider statistics. What is this technique called?
- 18th September 1983Punctuate 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
- 19th September 1983Identify whether this sentence is simple, compound or complex: "Although the platform was crowded, Amara found a seat by the window."
- 20th September 1983Identify the fronted adverbial in this sentence: "Slowly, the shutters were raised one by one."
- 21st September 1983Two coins are flipped at the same time. List all the possible outcomes, and find the probability of getting exactly one head.
- 22nd September 1983Write 3.6 x 10^-3 as an ordinary number.
- 23rd September 1983A laptop valued at 900 pounds depreciates by 12% in its first year. Work out its value at the end of the first year.
- 24th September 1983Work out -15 + 4 x (-2).
- 25th September 1983A 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.
- 26th September 1983A 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.
- 27th September 1983Here are the first four terms of a sequence: 7, 11, 15, 19. Find an expression for the nth term.
- 28th September 1983Find the mean of 14, 18, 22, 16 and 20.
- 29th September 1983A 750 gram box of cereal costs 2.40 pounds, and a 500 gram box of the same cereal costs 1.70 pounds. Which box offers better value for money? Show your working.
- 30th September 1983On 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.