SchoolNova Math3
1
Unit 16 - CW
Write an expression for each problem.
There were X plates of cupcakes at a party. Each plate had 8
cupcakes. If Y cupcakes were eaten, how many are left over?
There are B children going to the zoo. If each bus has C seats that
hold D amount of students. How many busses will fit all of the
children?
I have A dollars. If I buy 9 books that cost D dollars each and 4
pencils that cost B dollars each, how much money will I have left?
Anna walked X miles and swam for Y miles. Her sister walked
twice as far and swam four times less. How many miles did Anna's
sister walk and swim altogether?
John reads A books per month. How many books would John have
read after Y years?
2
Solve the equations. Check you answer.
6 x + 528 = 828
3
2x - 155 = 257
Calculate, using the long division
100x - 254 = 146
A polygon is a closed plane figure made up of several line segments that
are joined together. The sides do not cross each other. Exactly two sides meet
at every vertex.
Polygons with more than 3 angles
4
Examine the
picture.
What geometric figures do
you see? What is the
difference between
quadrilaterals I and II?
What is special about the
position of the sides AB and
DC?
They are parallel.
A quadrilateral that has 2
parallel sides is called
trapezoid.
What is the difference between the trapezoid II and the quadrilaterals III, IV, V, and VI?
How many parallel sides do these quadrilaterals have?
A quadrilateral that is formed by 2 pairs of the parallel sides is called a parallelogram.
Examine the picture. What is the difference between the quadrilateral IV and the
parallelogram III? How are the sides related to each other?
A parallelogram with 4 congruent sides is called rhombus.
Is there a parallelogram that has only 3 congruent sides? Why, or why not?
Examine the picture. What is the difference between the quadrilaterals V and VI and the
other quadrilaterals on the picture? What kind of angles do they have?
Quadrilateral
Rectangle
A four-sided polygon. The sum of the
angles of a quadrilateral is 360 degrees.
A four-sided polygon having all right
angles. The sum of the angles of a
rectangle is 360 degrees.
Square
Parallelogram
A four-sided polygon having equal-length
sides meeting at right angles. The sum of
the angles of a square is 360 degrees.
A four-sided polygon with two pairs of
parallel sides. The sum of the angles of a
parallelogram is 360 degrees.
Rhombus
Trapezoid
A four-sided polygon having all four sides
of equal length. The sum of the angles of a
rhombus is 360 degrees.
A four-sided polygon having exactly one
pair of parallel sides. The two sides that
are parallel are called the bases of the
trapezoid. The sum of the angles of a
trapezoid is 360 degrees.
5
Is there a quadrilateral that has only 3 right angles? Why not?
6
Choose the correct statement(s) and circle it:
 Any square is a parallelogram.
 Any parallelogram is a square.
 Any rectangle is a parallelogram.
 Any parallelogram is a rectangle.
7
Which shape is described in each case below? Draw each one.
1. four sides; all sides equal; four right angles
2. four sides; opposite sides equal; four right angles
3. four sides; opposite sides parallel; no right angles
4. four sides; exactly two sides parallel
5. four sides; opposite sides equal; no sides perpendicular
6. four sides; opposite sides parallel; adjacent sides perpendicular
7. four sides; all sides equal; no sides perpendicular
8. four sides; no sides parallel; no sides perpendicular
8
State all possible names for each figure below
9
Draw a Venn diagram for:
 Square, Parallelogram, Rectangle
 Triangle, Parallelogram , Square, all shapes
 Rectangle , Rhombus, Trapezoid, Parallelogram
 Quadrilateral, Rectangle, Rhombus, Trapezoid, Parallelogram, Square
 Triangle, Parallelogram , Square, Circle, all shapes
10
Perimeter
The perimeter of a polygon is the sum of the lengths of all its sides.
Calculate the perimeter for every shape:
11
Foxy Tail lives in town A and he wants to visit his friend who lives in town F.
The picture below shows bus routes and ticket prices between 6 towns. What is the
cheapest way to get from town A to town F? What other towns will FT visit on his way?