Integrated Mathematics Summative Assessment on Surface Area and Volume
Time: 40 minutes plus 2 minutes reading time.
Calculator allowed.
Give your answers exactly or to 3 significant figures. Remember to show your method, not
just the answer. You may use a formula booklet throughout.
1. Find the area.
2. Find the area. The triangle is not drawn to scale.
3. Find the volume and surface area of this solid.
Volume:
Surface Area:
4. Calculate the shaded area in the diagram below.
5. Find the area of this shape. Simplify your answer.
6. Solve for t
3𝑟 = √2𝑡 − 1
1
7. 𝑠 = 𝑢𝑡 + 2 𝑎𝑡 2 finds the displacement, s, given the initial velocity, u, the final
velocity, v, the acceleration, a, and the time, t.
a) Rearrange the formula and solve for a.
b) Find the acceleration if the displacement is 6 m, the initial velocity is 2 ms-1, the final
velocity is 8 ms-1 and the time is 10 s?