77thth Grade Test Prep Grade Test Prep

Geometry

6.G.10Identify & plot point in all 4 quadrants

Coordinate Plane

x-axis

y-axis

origin

Ordered Pair

(-5, 4)

x-coordinate

y-coordinate

6.G.11Area of polygons on a coordinate plane

To find the area of the

given polygon, count the number of

unit squares

inside the polygon.

To find the area of the given

polygon, count the number of unit squares in the length and width. Then

use the formula to calculate the

area.

OR

66 sq units

A coin has a circumference of 12.56 cm. What is the radius of the coin?

A circle painted on the playground has an area of 314 square feet. What is the radius of the circle?

10 feet

2 cm

Jonathan ordered a pizza with an area of 63.585 square inches. Marie ordered a pizza with a circumference of 28.26 inches. Whose pizza has the greater diameter? Show your work and explain your reasoning.

Both have the same diameter of 9 in.

Prism Cone

Cylinder Pyramid

2 parallel & congruent

polygonal bases

2 circular, parallel and congruent

bases

1 circular base and 1 vertex

1 Polygonal base, and triangular

sides

Determine the volume of a box 2 m long, 2 m tall and 1 m wide?

What is the volume (in terms of Л) of a cylinder with a radius of 5cm and a height of 8 cm? V = πr²h V = 200π cubic cm

V = lwh V = 4cubic meters

Calculate the surface area of the following shapes.

SA = Area of 2 triangles + Area of 3 rectangles

Area of Triangle = 24 sq in.Area of Rectangles = 70, 56, 42

SA = 2 * 24 + 70 + 56 + 42SA = 216 sq in.

SA = 2lw + 2lh + 2whSA = 2(2●5) + 2(2●7) + 2(5●7)SA = 20 + 28 + 70SA = 118 sq ft

Calculate the surface area of the following shapes.

SA = Area of 2 circles + Area of rectangle

Area of circle = 50.24 mArea of rectangle = 236.13 m

SA = 2 * 50.24 + 236.13

SA = 336.61 sq m

The sum of the interior angles of a quadrilateral is 360°

In parallelogram ABCD, m∠C = 60˚ and m∠D = 120˚. Find the measure of the angle opposite ∠C.

In quadrilateral EFGH, m∠E = 115˚, and m∠F = 135˚, and m∠G = 45˚. Find the measure of the ∠H.

Hypotenuse = c

Leg = a or b

Leg = a or b

a² + b² = c²

Longest side of the

triangle = Hypotenuse

12 inches7 inches

xThe hypotenuse of a right triangle is 12 inches and

one of its legs is 7 inches. Find the length of the other

leg. x = length of the missing leg

a² + b² = c²

a² + b² = 12²

7² + x² = 12²

49 + x² = 144

x² = 95

95x =

x ≈ 9.7 inches

The measures of three sides of a triangle are 15 inches, 8 inches and 17 inches. Determine

whether the triangle is a right triangle.

Longest side = Hypotenuse

c = 17 inches

289 = 289

A triangle with sides of 15 inches, 8 inches, and 17 inches is a right triangle.

a = 15 inches

b = 8 inches

a² + b² = c²

15² + 8² = 17²?

225 + 64 = 289?