Daily Practice · 13+ Common Entrance

August 1966 5-a-day

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August 1966

31 sheets · 155 questions · Years 7-8

Every sheet in August 1966

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

  1. 1st August 1966Simplify 5x + 3y - 2x + 7y.
  2. 2nd August 1966Work out 9 x 8.
  3. 3rd August 1966Work out (4 + 3) x (9 - 5).
  4. 4th August 1966y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 6.
  5. 5th August 1966Write the ratio 18:24 in its simplest form.
  6. 6th August 1966Work out 8.4 x 6, using a written method.
  7. 7th August 1966At 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 August 1966State the order of rotational symmetry and the number of lines of symmetry of a regular pentagon.
  9. 9th August 1966A pattern of dots grows so that pattern 1 has 4 dots, pattern 2 has 7 dots, and pattern 3 has 10 dots. How many dots will pattern 6 have?
  10. 10th August 1966A 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 August 1966State the method used to extract aluminium from its ore, and explain why this method is needed rather than reduction with carbon.
  12. 12th August 1966Explain how a person is able to see a book resting on a table in a well-lit room, in terms of light rays.
  13. 13th August 1966Explain one way in which a polar bear's thick white fur helps it survive in the Arctic.
  14. 14th August 1966A 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 August 1966Amara is investigating how the mass of a paper cone affects how long it takes to fall from a fixed height. State the independent variable and the dependent variable in this investigation.
  16. 16th August 1966In a factual text, is the sentence "Hot air balloons were first flown in France in 1783" a fact or an opinion?
  17. 17th August 1966A poem repeats the phrase 'and still it climbed' at the end of every stanza. What is this technique called, and what might its effect be?
  18. 18th August 1966Find and copy one word from the phrase 'the old clock ticked its patient rhythm' that gives the clock a human quality.
  19. 19th August 1966Which punctuation mark correctly joins these two sentences without adding a joining word: 'The coach was late the pupils waited in the hall.'?
  20. 20th August 1966Choose the correct word: I'm not sure ___ my umbrella is. (where / were / we're)
  21. 21st August 1966A poem is written in a single, unbroken stanza with no rhyme. What effect might this create?
  22. 22nd August 1966A newspaper report about a school's new library states: 'The library, funded entirely by a single anonymous donation, opened its doors last Tuesday.' What retrieval detail answers the question, how was the library funded?
  23. 23rd August 1966A straight line passes through (0, 5) and has a gradient of -2. Write down its equation.
  24. 24th August 1966A 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 August 1966Write 0.72 as a percentage.
  26. 26th August 1966A 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 August 1966A 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 August 1966A chord divides a circle so that the angle at the centre is 130 degrees. Work out the angle at the circumference subtended by the same chord, on the major arc.
  29. 29th August 1966Factorise 2x^2 + 7x + 3.
  30. 30th August 1966A recipe uses 3 eggs for every 240 g of flour. Work out how many grams of flour are needed for 7 eggs, at the same ratio.
  31. 31st August 1966Work out 5 + 4 x 3 - 2.