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Daily Practice · 13+ Common Entrance

January 1988 5-a-day

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January 1988

31 sheets · 155 questions · Years 7-8

January 1988 compilationAll answers

Every sheet in January 1988

The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.

  1. 1st January 1988On 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.
  2. 2nd January 1988In 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.
  3. 3rd January 1988A triangle has sides 7 cm and 9 cm with an included angle of 50 degrees. Work out its area, to 1 decimal place.
  4. 4th January 1988Work out the mean of 8, 12, 15, 9 and 11.
  5. 5th January 1988Find 25% of 84 pounds.
  6. 6th January 1988State two functions of the human skeleton.
  7. 7th January 1988Describe the test for carbon dioxide gas, and state the positive result.
  8. 8th January 1988A torch bulb has a resistance of 15 ohms and a current of 0.2 A flows through it. Use V = I x R to calculate the voltage across the bulb.
  9. 9th January 1988Name the salt formed when hydrochloric acid reacts with sodium hydroxide.
  10. 10th January 1988A pupil wants to measure the current flowing through a lamp in a circuit. Name the piece of apparatus she needs, and state whether it should be connected in series or in parallel with the lamp.
  11. 11th January 1988A 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.
  12. 12th January 1988State the name given to a value read from a graph that lies between two points that were actually measured.
  13. 13th January 1988A 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?
  14. 14th January 1988A 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?
  15. 15th January 1988In 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?
  16. 16th January 1988Name the technique used in this slogan: Reduce. Reuse. Recycle.
  17. 17th January 1988Write an expanded noun phrase, using at least two describing words, for 'the alleyway at dusk.'
  18. 18th January 1988Rewrite this sentence, replacing the vague capitalised word with a more precise alternative, keeping the meaning: "The station was BUSY."
  19. 19th January 1988Write an expanded noun phrase, using at least two describing words, for "the fruit stall."
  20. 20th January 1988Find the median and the range of this data set: 7, 3, 9, 3, 12, 5.
  21. 21st January 1988A right-angled triangle has shorter sides of 5 cm and 12 cm. Work out the length of the hypotenuse.
  22. 22nd January 1988The nth term of a sequence is 4n + 3. Work out the 20th term.
  23. 23rd January 1988Work out 84 / 12.
  24. 24th January 1988A 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.
  25. 25th January 1988A 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.
  26. 26th January 1988p = 5, q = -2. Work out the value of 3p + q.
  27. 27th January 1988A bag has 4 yellow and 6 purple counters. Find the probability of picking a purple counter.
  28. 28th January 1988A meal out costs 68 pounds before a 12.5% service charge is added. Calculate the total cost including the service charge.
  29. 29th January 1988On 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.
  30. 30th January 1988In the disappearing cross experiment, a student times how long it takes for a cross under the flask to disappear from view. Explain why a shorter time indicates a faster reaction.
  31. 31st January 1988A skateboarder travels at a constant speed of 4 m/s for 6 seconds. Use acceleration = change in velocity / time taken to state his acceleration during this time, and explain what an acceleration of zero means about his motion.