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Oak MathsTest · Maths

Problem solving with constructions

The starter and exit quiz of the lesson “Problem solving with constructions”, from the unit “Constructions” (Year 8 Maths) by Oak National Academy.

Free to use. Edit it, share it and hand it out to your students.

Oak National Academy

12 questions

  1. This quadrilateral is a rhombus. Find the value of a+b+c.
  2. This triangle is reflected with the line of reflection at its base side. The resultant quadrilateral is a rhombus. What is the area of this rhombus (in cm²)?
  3. This hexagon is regular. Find the size of angle v, in degrees.
  4. The triangle is equilateral, with two angle bisectors extending from the bottom two angles of the equilateral triangle and intersecting inside the triangle. Find the size of angle w.
  5. This diagram shows a kite enclosed by a rectangle. If the rectangle has an area of 780 cm², find the area of the kite, in cm².
  6. This kite has an area of 270 cm². What is the area of the shaded region: the right-angled triangle on the top, right of the kite? Give your answer in cm².
  7. In this six-petal flower construction, at how many points does circle A intersect with at least one other circle?
  8. Which of these polygons can be formed by joining up combinations of intersections between any line segment or circle?
  9. Which of these polygons can be formed by joining up combinations of intersections between any line segment or circle?
  10. Which of these statements is true about the construction of a perpendicular bisector?
  11. Which two pairs of points need to be joined with a line segment to find the fourth point in the kite?
  12. This "crescent moon" logo can be formed using the construction of an equilateral triangle that uses two congruent circles of radius 9 cm. What is the perimeter of this logo (in cm, rounded to 1 dp)?

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Problem solving with constructions · Examplary