Daily Practice · 13+ Common Entrance
August 1967 5-a-day
Every sheet in August 1967
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st August 1967A shape is made from a rectangle measuring 12 cm by 8 cm, with a right-angled triangle of base 6 cm and height 8 cm removed from one corner. Work out the area of the remaining shape.
- 2nd August 1967In 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.
- 3rd August 1967A triangle has sides 7 cm and 9 cm with an included angle of 50 degrees. Work out its area, to 1 decimal place.
- 4th August 1967Work out the mean of 8, 12, 15, 9 and 11.
- 5th August 1967Find 25% of 84 pounds.
- 6th August 1967State the name of the structure that allows oxygen and nutrients to pass from a mother's blood to her developing foetus.
- 7th August 1967Name the salt produced when zinc reacts with sulfuric acid.
- 8th August 1967State one way, other than increasing the current, to increase the strength of an electromagnet made from a coil of wire around an iron core.
- 9th August 1967State what happens to the current in a series circuit if an extra identical bulb is added, assuming the battery voltage stays the same.
- 10th August 1967Name 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.
- 11th August 1967Name the type of teeth used mainly for cutting food.
- 12th August 1967State why it is good practice to run a quick preliminary (trial) experiment before starting the main investigation.
- 13th August 1967A 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?
- 14th August 1967A 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?
- 15th August 1967In 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?
- 16th August 1967Name the technique used in this slogan: Reduce. Reuse. Recycle.
- 17th August 1967Write an expanded noun phrase, using at least two describing words, for 'the alleyway at dusk.'
- 18th August 1967Rewrite this sentence, replacing the vague capitalised word with a more precise alternative, keeping the meaning: "The station was BUSY."
- 19th August 1967Write an expanded noun phrase, using at least two describing words, for "the fruit stall."
- 20th August 1967A fair six-sided dice is rolled once. Find the probability of rolling a number greater than 4.
- 21st August 1967A right-angled triangle has shorter sides of 5 cm and 12 cm. Work out the length of the hypotenuse.
- 22nd August 1967The nth term of a sequence is 4n + 3. Work out the 20th term.
- 23rd August 1967Work out 84 / 12.
- 24th August 1967Two hockey teams recorded the number of goals they scored in their last 5 matches. Team A: 2, 3, 2, 4, 4. Team B: 0, 1, 5, 6, 3. Compare the two teams by working out the mean and the range for each.
- 25th August 1967Simplify sqrt(50) - sqrt(8), giving your answer in the form k sqrt(2).
- 26th August 1967p = 5, q = -2. Work out the value of 3p + q.
- 27th August 1967A bag has 4 yellow and 6 purple counters. Find the probability of picking a purple counter.
- 28th August 1967A jacket priced at 84 pounds is increased by 25% for the winter season. Calculate the new price.
- 29th August 1967A pupil views onion cells under a microscope after adding a drop of iodine solution to the slide. State why the iodine solution was added.
- 30th August 1967A student dissolves ammonium nitrate in water and the temperature of the solution falls. State whether this process is exothermic or endothermic.
- 31st August 1967State the unit normally used for speed in physics, and name one other unit that speed could also correctly be measured in.