Daily Practice · 13+ Common Entrance
October 1981 5-a-day
Every sheet in October 1981
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1981A right-angled triangle has shorter sides of 9 cm and 40 cm. Work out the length of the hypotenuse.
- 2nd October 1981A jacket costs 64 pounds. It is reduced by 15% in a sale. Work out the sale price.
- 3rd October 1981A jug holds 1.8 litres. Work out how many millilitres this is.
- 4th October 1981At a small maths club meeting, every one of the 8 members shakes hands with every other member exactly once. Work out the total number of handshakes.
- 5th October 1981A triangle has a base of 14 cm and a perpendicular height of 5 cm. Calculate its area.
- 6th October 1981Write the first four terms of the sequence with nth term 2n^2.
- 7th October 1981A food sample turns from blue to brick-red when Benedict's solution is added and the mixture is heated. State which nutrient this positive result shows is present.
- 8th October 1981State the method used to extract aluminium from its ore, and explain why this method is needed rather than reduction with carbon.
- 9th October 1981A pupil measures a length as 250 mm. State this length in metres.
- 10th October 1981State how many natural moons orbit the Earth.
- 11th October 1981A pupil measures the volume of a gas produced in a reaction every 30 seconds. State whether the volume of gas is the independent or the dependent variable.
- 12th October 1981A student measures the length of a metal rod five times: 62.1 cm, 62.4 cm, 62.0 cm, 62.5 cm, 62.2 cm. Calculate the mean length of the rod.
- 13th October 1981Which word means the same as "ascend" in a sentence about a balloon rising into the sky: "climb", "sink", "hover" or "spin"?
- 14th October 1981Which two poetic techniques are both used in the line 'The waves whispered along the shingle shore'?
- 15th October 1981What is the name for a poem written without a regular rhyme scheme or fixed rhythm?
- 16th October 1981Choose the correct homophone: You should always ___ your times tables before a test. (practice / practise)
- 17th October 1981Choose the correct word: ___ leaving their bags by the door. (Their / There / They're)
- 18th October 1981Find and copy one word from 'the fox paused, listening to the city's held breath' that gives the city a human quality.
- 19th October 1981In a report, a word is defined as follows: 'The expedition team faced constant attrition - illness, injury and exhaustion wore down their numbers day by day.' What does 'attrition' mean here?
- 20th October 1981A train travels 90 km in 1.5 hours at a constant speed, shown as a straight line on a distance-time graph. Calculate the gradient of this line, and state what it represents.
- 21st October 1981A survey asked 20 people how many pets they own: 5 people own 0 pets, 8 own 1 pet, 4 own 2 pets, and 3 own 3 pets. Work out the mean number of pets owned.
- 22nd October 1981Work out 3/4 + 1/6, giving your answer as a fraction in its simplest form.
- 23rd October 1981A recipe for 8 people uses flour, sugar and butter in the ratio 4 : 3 : 1 by weight, totalling 800 g. Work out how many grams of sugar are needed to make the recipe for 12 people.
- 24th October 1981A circle has a radius of 10 cm. Work out the area of a sector with an angle of 72 degrees at the centre, giving your answer to 3 significant figures. (Use pi = 3.14159.)
- 25th October 1981Solve x^2 = 7x - 12.
- 26th October 1981Solve x^2 + 3x - 18 = 0.
- 27th October 1981Find 3^3 + sqrt(64).
- 28th October 1981120 pounds is shared between Leo and Maya in the ratio 3:5. Work out how much Maya receives.
- 29th October 1981Name the male gamete and the female gamete involved in human reproduction.
- 30th October 1981Name the acid that produces nitrate salts.
- 31st October 1981A wave has a frequency of 50 Hz and a wavelength of 4 m. Use wave speed = frequency x wavelength to calculate its speed.