Daily Practice · 13+ Common Entrance

July 1956 5-a-day

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July 1956

31 sheets · 155 questions · Years 7-8

Every sheet in July 1956

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

  1. 1st July 1956A right-angled triangle has shorter sides of 5 cm and 12 cm. Work out the length of the hypotenuse.
  2. 2nd July 1956The nth term of a sequence is 4n + 3. Work out the 20th term.
  3. 3rd July 1956Work out 84 / 12.
  4. 4th July 1956A class recorded how many books each of 25 students read in a month: 5 students read 0-2 books, 12 students read 3-5 books, and 8 students read 6-8 books. Using midpoints 1, 4 and 7, estimate the mean number of books read.
  5. 5th July 1956Prove that the sum of any three consecutive integers is always a multiple of 3.
  6. 6th July 1956p = 5, q = -2. Work out the value of 3p + q.
  7. 7th July 1956A bag has 4 yellow and 6 purple counters. Find the probability of picking a purple counter.
  8. 8th July 1956A 750 gram box of cereal costs 2.40 pounds, and a 500 gram box of the same cereal costs 1.70 pounds. Which box offers better value for money? Show your working.
  9. 9th July 1956In pea plants, the allele for tall (T) is dominant over the allele for short (t). State the possible genotype(s) of a tall pea plant.
  10. 10th July 1956State two factors, other than using a catalyst, that increase the rate of a reaction between a solid and a solution.
  11. 11th July 1956State whether solar power is a renewable or a non-renewable energy resource.
  12. 12th July 1956A book rests on a table and does not move. Name the force from the table that balances the book's weight.
  13. 13th July 1956Name the two products of photosynthesis.
  14. 14th July 1956A pupil adds universal indicator to a solution and it turns red. State whether the solution is acidic, alkaline or neutral.
  15. 15th July 1956Which sentence uses a semicolon correctly? A) The whistle blew; and the players stopped. B) The whistle blew; the players stopped at once.
  16. 16th July 1956In an extract, a character 'set down his tools without a word and walked out into the rain.' What might this action suggest about his state of mind?
  17. 17th July 1956A writer describes a clock as "ticking its patient warning through the empty hall." Name the poetic technique used here.
  18. 18th July 1956Punctuate this exchange, adding inverted commas, capital letters and any other punctuation needed: are you sure about this asked Leo his sister nodded without looking up
  19. 19th July 1956Rewrite this sentence, replacing the vague capitalised word with a more precise alternative, keeping the meaning: The funfair was SCARY.
  20. 20th July 1956A speaker says 'Ninety per cent of our debate club members say it changed how they see arguments.' Name the technique used here.
  21. 21st July 1956A charity advert says: 'You could change a child's life today.' Which word directly addresses the reader, and what effect does this have?
  22. 22nd July 1956Order these integers from smallest to largest: -6, 2, -3, 0, -9
  23. 23rd July 1956Solve x^2 + 3x - 10 = 0.
  24. 24th July 1956A triangle has base 10 cm and height 7 cm. Work out its area.
  25. 25th July 1956p is inversely proportional to q^2. When q = 2, p = 18. Work out p when q = 3.
  26. 26th July 1956The nth term of a sequence is 6n - 4. Work out the 12th term.
  27. 27th July 1956A car journey of 156 miles takes 2.4 hours. Work out the average speed, to the nearest mile per hour.
  28. 28th July 1956A rectangle has a perimeter of 38 cm and a width of 6.5 cm. Work out its length.
  29. 29th July 1956Find the area of a triangle with base 12 cm and height 7 cm.
  30. 30th July 1956A box contains 7 yellow pencils, 5 blue pencils and 3 green pencils. A pencil is picked at random. Find the probability that it is not blue.
  31. 31st July 1956State one structure found in a plant cell but not in an animal cell.