Name: _________________________
Block: ________
Chapter 3 Final Review Assignment
1.
What is the square of 5?
2.
What is the square of 7?
3.
Which number is a perfect square?
4.
What is the square root of 225?
5.
What is the prime factorization of 78?
6.
A square has an area of 196 cm2. How long is each side of the square?
7.
In the diagram shown below, what is the sum of BC2 + CA2?
8.
Use the Pythagorean relationship to find the unknown area of the square.
9.
Determine the missing side length.
10.
What is the area of the unknown square?
11.
Determine the length of the hypotenuse.
12.
State the Pythagorean relationship using the triangle shown below.
13.
State the Pythagorean relationship using the triangle shown below.
14.
The value of
is between which two numbers?
15.
The value of
is between which two numbers?
16.
Where on this number line is the approximate value of
7.
Where on this number line is the value of
18.
The length of the hypotenuse, to the nearest metre, is
located?
located?
19.
The length of the hypotenuse, to the nearest tenth of a centimetre, is
20.
The length of the hypotenuse is
21.
Jerry cuts a piece of paper from one corner to the other, as shown. How long is the cut
edge?
22.
The hypotenuse of a triangle is drawn on the diameter of a circle. The radius of the circle is
17.5 cm. What is the approximate length of the unknown leg of the right triangle?
23. Baljit is making a railing for a staircase. The staircase rises 3.6 m over a horizontal distance
of 3.2 m. How long should the handrail be? Round your answer to the nearest tenth of a metre.
24.
What is the perimeter of the kite shown below?
25.
Rebecca is trying to determine if 144 is a perfect square. She believes that her prime
factorization of 144 is incorrect. Has she made a mistake? If so, what was her mistake and
what is the correct prime factorization?
26. Brianna drew a triangle with side lengths of 4 cm, 6 cm, and 8 cm. Find the areas of the
squares on the three sides of the triangle. Is this a right triangle? Explain.
.
27.
a) Write the following numbers in increasing order.
7,
,
, 4.7,
b) Draw a number line and mark the approximate position of each value.
28.
The areas of the squares on two sides of a right triangle are 28 cm2 and 52 cm2. What are
the possible areas for the square on the third side? Draw sketches to support your answers.
29.
The large right triangle shown below is made up of two smaller right triangles.
Show that a2 = b(d)
30.
What is the approximate value of x? Express your answer to the nearest tenth of a centimetre.
.