Name: ____________________
10A Measurement, Surds and Indices Practice Test
Short Answer Section
1. Find the perimeter and area of the following shape. Express your answer in
exact form in terms of π.
a. Perimeter b. Area
(4)
2. For the rectangular prism shown below, assume all measurements are in metres and hence
find the exact length of:
a. AF b. AG
(4)
,3. Find the height of a closed cylinder with a radius of 3m and a TSA of 60π m2.
(2)
4. A cone has a radius of 6cm and a height of 8cm.
a. Find the length of the slant height of
the cone. b. Find the total surface area of the cone
in exact form.
(2)
5. Find the volume of the shape below.
(2)
6. Solve the following:
a. 2−3 n × 42 n−2=16 1
2x
b. 9 x – 1 = 27
(4)
, 7. Simplify the following:
a. √ 27+ √ 50− √72+ √ 300
2√ 6
b.
√3
4 √2
c.
3+ √ 5
10A Measurement, Surds and Indices Practice Test
Short Answer Section
1. Find the perimeter and area of the following shape. Express your answer in
exact form in terms of π.
a. Perimeter b. Area
(4)
2. For the rectangular prism shown below, assume all measurements are in metres and hence
find the exact length of:
a. AF b. AG
(4)
,3. Find the height of a closed cylinder with a radius of 3m and a TSA of 60π m2.
(2)
4. A cone has a radius of 6cm and a height of 8cm.
a. Find the length of the slant height of
the cone. b. Find the total surface area of the cone
in exact form.
(2)
5. Find the volume of the shape below.
(2)
6. Solve the following:
a. 2−3 n × 42 n−2=16 1
2x
b. 9 x – 1 = 27
(4)
, 7. Simplify the following:
a. √ 27+ √ 50− √72+ √ 300
2√ 6
b.
√3
4 √2
c.
3+ √ 5
