The starter and exit quiz of the lesson “Finding a length in composite shapes”, from the unit “Perimeter, area and volume” (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
Find the positive value of x that is a solution to the equation: x^2 + 4 = 85. x=___.
Select the fully factorised form of this expression: 42r + 56.
Find the positive value of x that is a solution to the equation: 3{\times}7{\times}2x^2 = 3{\times}56. x=___
Select the fully factorised form of this expression: 2kx^2 + 3kx.
A circle has a radius of 1.2 cm. Find the area of this circle. Give your answer in cm, rounded to 2 decimal places. Area = ___ cm².
The area of a circle is 908 cm². Use the formula: area = {\pi} {\times}r^2 to form an equation and solve this equation to find the radius of the circle, rounded to the nearest integer. ___ cm.
A quarter-circular sector is cut out of a circle. The quarter-circle has an area of 32\pi cm². What was the area of the original circle?
A semi-circular sector is cut out of a circle. The semicircle has an area of 98\pi cm². Which of these statements are true about the original circle?
This composite shape is composed of a quarter-circle and a square. The area of the composite shape is 114 cm². Which of these statements about the shape are correct?
This composite shape is composed of a quarter-circle and a square. The area of the composite shape is 216 cm². Which of these equations are correct steps in the method to find the radius?
The area of this composite shape is: (9216\pi + 16384) cm². Find the value of r. r=___.
This composite shape is composed of two quarter-circles and a square. The area of this composite shape is 1360 cm². Find the value of r, rounded to the nearest integer. r= ___
