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Daily Practice · 13+ Common Entrance

June 1958 5-a-day

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June 1958

30 sheets · 150 questions · Years 7-8

June 1958 compilationAll answers

Every sheet in June 1958

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 1958In a right-angled triangle, the angle at A is 40 degrees and the side opposite A is 8 cm. Use trigonometry to find the length of the hypotenuse, giving your answer to 1 decimal place.
  2. 2nd June 1958A triangle has base 10 cm and height 7 cm. Work out its area.
  3. 3rd June 1958p is inversely proportional to q^2. When q = 2, p = 18. Work out p when q = 3.
  4. 4th June 1958The nth term of a sequence is 6n - 4. Work out the 12th term.
  5. 5th June 1958A car journey of 156 miles takes 2.4 hours. Work out the average speed, to the nearest mile per hour.
  6. 6th June 1958A rectangle has a perimeter of 38 cm and a width of 6.5 cm. Work out its length.
  7. 7th June 1958Find the area of a triangle with base 12 cm and height 7 cm.
  8. 8th June 1958A 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.
  9. 9th June 1958State one structure found in a plant cell but not in an animal cell.
  10. 10th June 1958A sample of matter has particles that are far apart and moving quickly in random directions. State which state of matter this describes.
  11. 11th June 1958In a tug of war, Team X pulls with a force of 640 N and Team Y pulls with a force of 590 N in the opposite direction. Calculate the resultant force acting on the rope.
  12. 12th June 1958A cyclist travels 300 m in 25 s. Calculate her average speed.
  13. 13th June 1958Name the gas produced when a reactive metal reacts with a dilute acid.
  14. 14th June 1958Name the part of a plant cell, not found in an animal cell, that carries out photosynthesis.
  15. 15th June 1958A pupil measures the mass of a metal washer five times using a balance and gets: 14.2 g, 14.5 g, 14.1 g, 14.6 g, 14.1 g. Calculate the mean mass, giving your answer to 3 significant figures.
  16. 16th June 1958Identify whether this sentence is simple, compound or complex: "The map was old and torn."
  17. 17th June 1958Write an expanded noun phrase, using at least two describing words, for 'the corridor at midnight.'
  18. 18th June 1958A writer describes a departure board as 'flickering through a list of cancellations like a nervous heartbeat.' Name the technique used.
  19. 19th June 1958A character 'held his breath without realising it' as he entered a dark passage. What does this suggest about his feelings?
  20. 20th June 1958A poem has four lines per stanza with the rhyme pattern ABAB. What is this pattern called?
  21. 21st June 1958Is the claim 'reading is obviously more rewarding than scrolling through a screen' a fact or an opinion?
  22. 22nd June 1958A question asks you to explain "how the poet's feelings towards winter change across the poem." What should your answer focus on?
  23. 23rd June 1958An L-shaped room is made from a 6 m by 4 m rectangle with a 2 m by 3 m rectangle removed from one corner. Calculate the area of the room.
  24. 24th June 1958Work out -4 - 7.
  25. 25th June 1958Find the highest common factor of 24 and 36.
  26. 26th June 1958Simplify 6x + 4 - 2x - 9.
  27. 27th June 1958A basket contains 15 lemons and 25 limes. Write the ratio of lemons to limes in its simplest form.
  28. 28th June 1958Calculate 56 + 29.
  29. 29th June 1958Work out 20 - 3 x 4.
  30. 30th June 1958A number is tripled and then 5 is added, giving 32. Form an equation and find the number.