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Oak MathsTest · Maths

Designing a green space

The starter and exit quiz of the lesson “Designing a green space”, from the unit “Maths and the environment” (Year 9 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. The __________ is the size of a surface and states the number of unit squares needed to completely cover that surface.
  2. A circle has a diameter of length 6 cm. Which calculation would find the area of the circle?
  3. 1 : 300 = 5 : x. Find the value of x.
  4. 1 : 400 = x : 84. Find the value of x.
  5. On a scale drawing, 1 cm in the drawing represents 4 m in real life. Which ratio expresses the scale for this drawing?
  6. A rectangular floor is 360 cm by 210 cm. Square floor tiles have length 30 cm. How many tiles would be needed to cover the floor?
  7. The area of the rectangle labelled "walkway" is ___ m^2.
  8. The area of the circle labelled "air vent" is __________ m^2, when rounded to 1 decimal place.
  9. The diagram shows the plan of a rooftop, where some of the space is going to be used for greenery. The total area of the regions labelled "greenery" is ___ m^2 (to the nearest m^2).
  10. Lucas is planting broccoli in rows and columns in a 4 m by 2.4 m rectangular garden bed. The broccoli should be planted 80 cm apart so that they have space to grow. How many broccolis can he plant?
  11. Sofia is making a scale drawing of a rectangular park on a sheet of A4 paper. The park is 600 m by 500 m; the paper is 21 cm by 29 cm. Which scales would allow the scale drawing to fit onto the paper?
  12. Sofia makes a scale drawing of a rectangular park using the scale 1 : 4000. Her drawing of the park is 18 cm by 25 cm. The perimeter of the actual park is ___ m.

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Designing a green space · Examplary