Daily Practice · 13+ Common Entrance

June 1964 5-a-day

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June 1964

30 sheets · 150 questions · Years 7-8

Every sheet in June 1964

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

  1. 1st June 1964Simplify 5x + 3y - 2x + 7y.
  2. 2nd June 1964A box of 15 chocolates costs 4.50 pounds. Work out the cost of one chocolate.
  3. 3rd June 1964Work out 56 / 7.
  4. 4th June 1964In a right-angled triangle, the angle at A is 27 degrees and the opposite side is 6 cm. Work out the length of the hypotenuse, to 1 decimal place.
  5. 5th June 1964Work out 3/4 of 148.
  6. 6th June 1964Share 156 pounds between two people in the ratio 7:6.
  7. 7th June 1964At 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.
  8. 8th June 1964Convert 4.2 metres into centimetres.
  9. 9th June 1964Write the first four terms of the sequence with nth term 2n^2.
  10. 10th June 1964A 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.
  11. 11th June 1964State the method used to extract aluminium from its ore, and explain why this method is needed rather than reduction with carbon.
  12. 12th June 1964A pupil measures a length as 250 mm. State this length in metres.
  13. 13th June 1964State how many natural moons orbit the Earth.
  14. 14th June 1964A 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.
  15. 15th June 1964A thermometer has graduations every 1 degree C. A student takes a single temperature reading of 40 degrees C. Calculate the percentage uncertainty in this reading.
  16. 16th June 1964A text about coral reefs moves from explaining what coral is, to how reefs form, to why they are under threat. What is this structure called?
  17. 17th June 1964Explain why a poet might use short, one-word lines to describe a sudden event, such as an accident.
  18. 18th June 1964A poem compares grief to 'a stone carried in the pocket, never quite forgotten.' Name this technique.
  19. 19th June 1964Correct the tense error: Last week, the choir practises for two hours every evening.
  20. 20th June 1964Punctuate this exchange between two speakers, starting a new line for each: are you ready asked sam almost said priya
  21. 21st June 1964Which two poetic techniques appear in the line 'The streetlamp's silver stare slid over its fur'?
  22. 22nd June 1964In 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?
  23. 23rd June 1964A 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.
  24. 24th June 1964A 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.
  25. 25th June 1964Find 35% of 180.
  26. 26th June 1964A 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.
  27. 27th June 1964A 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.)
  28. 28th June 1964Simplify sqrt(45) + sqrt(20), giving your answer in the form k sqrt(5).
  29. 29th June 1964A chord subtends an angle of 76 degrees at the centre of a circle. Work out the angle it subtends at the circumference, on the major arc.
  30. 30th June 1964A journey of 84 km takes 1 hour 45 minutes. Work out the average speed in km/h.