HSG.C.B.5 Math Practice Questions — Sports Academy Games

Practice playeasy

A triangle has sides $3$ , $4$ , and $5$ . What is its area?

This is a right triangle ( $3$ - $4$ - $5$ ). Area $= \dfrac{1}{2} \times 3 \times 4 = 6$ .

Practice playeasy

Find the arc length of a $90°$ arc on a circle with radius $4$ . Use $\pi = 3$ .

$L = \dfrac{90}{360} \times 2 \pi r = \dfrac{1}{4} \times 2 \times 3 \times 4 = 6$ .

Practice playeasy

A rhombus has diagonals of length $6$ and $8$ . What is its area?

Area of a rhombus $= \dfrac{1}{2} \times d_{1} \times d_{2} = \dfrac{1}{2} \times 6 \times 8 = 24$ .

Practice playeasy

A triangle has sides $7$ , $10$ , and $12$ . What is its perimeter?

$P = 7 + 10 + 12 = 29$ .

Practice playeasy

A right triangle has legs $6$ and $8$ . What is its area?

Area $= \dfrac{1}{2} \times 6 \times 8 = 24$ .

Practice playeasy

Find the arc length of a $180°$ arc on a circle with radius $5$ . Use $\pi = 3$ .

$L = \dfrac{180}{360} \times 2 \pi r = \dfrac{1}{2} \times 2 \times 3 \times 5 = 15$ .

Practice playeasy

Find the area of a sector with radius $4$ and central angle $60°$ . Use $\pi = 3$ .

Sector area $= \dfrac{60}{360} \times \pi r^2 = \dfrac{60}{360} \times 3 \times 16 = 8$ .

Practice playeasy

A rectangular garden measures $15$ by $6$ . How many units of fencing are needed to go all the way around it?

$P = 2(15 + 6) = 2 \cdot 21 = 42$ .

HSG.C.B.5 math practice. Learn by doing.