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Daily Practice · 13+ Common Entrance

January 1962 5-a-day

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January 1962

31 sheets · 155 questions · Years 7-8

January 1962 compilationAll answers

Every sheet in January 1962

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 1962A 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.
  2. 2nd January 1962A car valued at 12,000 pounds depreciates by 15% in its first year. Work out its value at the end of the first year.
  3. 3rd January 1962Find 3/8 of 64.
  4. 4th January 1962After a 12% pay rise, Priya's monthly salary is 2,240 pounds. Work out her monthly salary before the pay rise.
  5. 5th January 1962On 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.
  6. 6th January 1962In 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.
  7. 7th January 1962A triangle has sides 7 cm and 9 cm with an included angle of 50 degrees. Work out its area, to 1 decimal place.
  8. 8th January 1962Work out the mean of 8, 12, 15, 9 and 11.
  9. 9th January 1962Find 25% of 84 pounds.
  10. 10th January 1962State two functions of the human skeleton.
  11. 11th January 1962Describe the test for carbon dioxide gas, and state the positive result.
  12. 12th January 1962A wave has a frequency of 50 Hz and a wavelength of 4 m. Use wave speed = frequency x wavelength to calculate its speed.
  13. 13th January 1962State the pH of a neutral solution such as pure water.
  14. 14th January 1962State whether the Earth casting a shadow that blocks sunlight from reaching the Moon is called a solar eclipse or a lunar eclipse.
  15. 15th January 1962A 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.
  16. 16th January 1962State the name given to a value read from a graph that lies between two points that were actually measured.
  17. 17th January 1962A 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?
  18. 18th January 1962A 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?
  19. 19th January 1962In 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?
  20. 20th January 1962Name the technique used in this slogan: Reduce. Reuse. Recycle.
  21. 21st January 1962Write an expanded noun phrase, using at least two describing words, for 'the alleyway at dusk.'
  22. 22nd January 1962Rewrite this sentence, replacing the vague capitalised word with a more precise alternative, keeping the meaning: "The station was BUSY."
  23. 23rd January 1962Write an expanded noun phrase, using at least two describing words, for "the fruit stall."
  24. 24th January 1962A coin is flipped 200 times and lands on heads 118 times. Calculate the relative frequency of landing on heads.
  25. 25th January 1962A right-angled triangle has shorter sides of 5 cm and 12 cm. Work out the length of the hypotenuse.
  26. 26th January 1962The nth term of a sequence is 4n + 3. Work out the 20th term.
  27. 27th January 1962Work out 84 / 12.
  28. 28th January 1962A 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.
  29. 29th January 1962A 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.
  30. 30th January 1962p = 5, q = -2. Work out the value of 3p + q.
  31. 31st January 1962A bag has 4 yellow and 6 purple counters. Find the probability of picking a purple counter.