A compound shape is made up of a regular pentagon and a square. Find the size of angle a.
Which information is the most relevant?
The shape is a compound shape.
The shape contains a pentagon.
The shape is a combination of a regular pentagon and a square.
What is the interior angle of a regular pentagon?
72°
108°
252°
What is the size of angle a?
198°
18°
162°
The mass of the cuboid is 19.125 kg. What is the density of the cuboid?
What techniques or formulas are most relevant to answer this question?
Mass = weight
Density = mass ÷ volume
Mass = density × volume
What is the volume of the cuboid?
7,650 cm3
76.5 cm3
765 cm3
What is the density of the cuboid in g/cm3?
0.0025 g/cm3
2.5 g/cm3
0.25 g/cm3
The equilateral triangle ABC has side lengths of 8 cm. D is the midpoint of line BC and E is the midpoint of line AC. Find the area of the shaded section of the triangle.
Which technique or strategy is NOT relevant?
\[\frac{a}{sin\:A} = \frac{b}{sin\:B} = \frac{c}{sin\:C}\]
\[Area\:of\:any\:triangle = \frac{1}{2}\:ab\:Sin\:C\]
\[Area\:of\:a\:sector = \frac{angle}{360}\:\times\:\pi r^2\]
What is the size of angle ABC?
75˚
30˚
60˚
What is the area of triangle ABC to 3 significant figures?
13.9 cm2
27.7 cm2
33.2 cm2
What is the area of the shaded section to 3 significant figures?
19.3 cm2
22.4 cm2
23.1 cm2