Geometry Questions

Line segment AB is tangent to circle O at B Find the length of the radius r for AB 5 and A0 8 6 Round to the nearest tenth if necessary The diagram is not to scale B A OA 9 9 668 OB 7 OC 13 D 3 6

The radius of circle O is 18 and OC 13 Find AB Round to the nearest tenth if necessary The figure is not drawn to scale OA 12 4 DB 3 8 OC 24 9 OD 44 4 C B

Find the volume of the sphere shown Give each answer rounded to the nearest cubic unit 5 mm OA 262 mm OB 524 mm OC 314 mm OD 105 mm

Find the volume of the sphere OA 506 59 cm3 OB 5572 45 cm3 C 126 65 cm3 OD 1393 11 cm3 11 cm

1 Find the volume of the given prism Round to the nearest tenth if necessary 17 m 2 m 1 m OA 17 m OB 34 m3 8 5 m3 3

Find the volume of the pyramid below OA 1088 OB 2400 OC 7200 OD 1360 8 17

Find the volume of the prism 3 4n OA 118 in 3 OB 42 in OC 88 6 in OD 85 in 3 5 in

Find the volume of the composite space figure to the nearest whole number 5 mm 11 mm Not drawn to scale O A 546 mm OB 174 mm OC 364 mm OD 438 mm3 6 mm

Find the volume of the prism 13 in OA 39 in OB 2184 in OC 672 in 3 OD 156 in 3 12 in 14 in

Find the volume of the cylinder 14 yd O 14 yd OA 1 372 4 312 yd OB 2 7448 624 yd Z OC 196 616 yd OD 6862 156 yd

CClever Portal Classes DIRECTIONS Use this information to answer Parts A The triangles show the paths in a town s public square 2 x 1 8 Part A 96 4x 3 22 6x 10 Show Hints 85 8 Write an inequality for the possible values of x Enter the correct inequality in the box

Use a formula to find the surface area of the figur 30 yd 20 yd OA 1 800 yd2 OB 2 700 yd2 bc 2 750 yd2 QD 2 600 yd2 25 yd 15 yd 20 yd

Find the surface area of the square pyramid 8 m OA 192 m2 OB 448 m OC 256 m OD 384 m2

Describe the cross section OA pentagon OB trapezoid OC hexagon OD cube

Use the net to find the surface area of the prism 13 m 16m Not drawn to scale OA 6 240 m OB 24 960 m C 540 m OD 92 m 5 m 12 m 5m 16 m 12 m 5 m 13 m 13 m 5 m

5 Use 3 14 to estimate the area of the circle Round your answer to the nearest hundredth if necessary 24 4 m OA 76 62 m OB 467 36 m C 1869 43 m OD 38 31 m

Draw a plane intersecting a cube to get the cross section indicated rectangle OA OB C OD

Use a formula to find the surface area of the figure 11 in drawing not to scale A 287 in 2 QB 30 in C 574 in OD 858 in 13 in 6 in

Find to the nearest tenth the area of the region that is inside the square and outside the circle The circle has diameter 14 inches OA 42 1 in OB 10 5 in OC 153 9 in D 196 in 2

The trapezoids below are similar Find the perimeter of the larger trapezoid if the perimeter of the smaller trapezoid is 20 cm 6 OA 20cm OB 30cm OC 15cm OD 25cm 9

The trapezoids below are similar Find the area of the smaller trapezoid if the area of the larger trapezoid is 45 cm 6 OA 30cm B 25cm2 0915cm D 20cm2 9

1 If the similarity ratio of two similar figures is then the ratio of their areas is a b OA 1220 B C SOD LINEQ 0 o o e mo mo Lole

Find the area of the triangle 30 OA 8 in 7 in 1 in OB 4 in 2 OC 3 5 in2 OD 1 75 in 2

Find the area of the triangle Round your answer to two decimal places 6 cm B D 80 2 cm 11 82 cm 2 08 cm 5 91 cm 1 04 cm 2

Find the area of the triangle Give the answer to the nearest tenth The drawing may not be to scale 9 cm 15 cm 70 OA 23 1 cm B 63 4 cm OC 185 5 cm OD 126 9 cm

If the similarity ratio of two similar figures is then the ratio of their perimeters is OA b

1 PART 1 Point A In radians what is Point B In radians what is Point C Point B is at 300 Point D is at 45 In radians what is Point A In radians what is Point D Point D In radians what is Point E Point C Point B

Use the Hinge Theorem and its converse to describe the restrictions on the value of the variable 12 18 126 12 26 3x 2 18 Enter the correct inequality in the box Show Hints X

83 10A Several three dimensional figures are shown B Cube C Cylinder D Pyramid If each of the three dimensional figures are cut parallel to the base which figures have a circular cross sections Select TWO correct answers A Cone E Square pyramid ADIAN Cylinder Triangular prism Cone Cube Square Triangular Prism

Question 4 4 9v SUBMIT BOOKMARK X a inches G A pizza with a diameter of 12 inches is cut into 8 slices Write your answers in terms of pi as needed inches in 101 What is the circumference of the pizza What is the area of the pizza inf What would the central angle for 3 slices be if it was in degrees degrees What would the central angle for 3 slices be if it was in radians Write your answer as a fraction in terms of pi What would the arc length of 3 slices be What would the sector area of 3 slices be radian

2 The circle below represents Earth The radius of the Earth is about 6400 km Find the distance d that a person can see on a clear day from each of the following heights habove Earth Round your answer to the nearest tenth of a kilometer For full credit show your work a 12 km b 20 km c 1300 km A

4 For problems a e use the diagram below K G 54 72 H a Which arc does ZKGJ intercept b Which angle intercepts GHJ c What is mZH d What is mJH e What is mZGJH f Which angles are supplementary

3 Write the equation of a circle in standard form with diameter AB Where A 7 5 and B 1 1 For full credit show your work Hint You need to find the midpoint of the diameter This is the center of the circle Then you need to find the distance between the midpoint and one of the endpoints This is the length of the radius Midpoint x x 2 2 Distance x x

1 A classmate insists that the value of x is 10 Write an equation to show that your classmate is wrong and solve for x 5 12

5 Below is an ice cream cone and a scoop of ice cream The volume of the cone is What is the combined volume of the cone and scoop of ice cream 4cm 5 cm 4 cm

6 Given the volume of the figure determine the measure of the radius Volumo 26 m3

your answer to the nearest tenth b You find another soccer ball at the street with a radius of 16 Which soccer ball has the greatest volume Explain using mathematical evidence

4 Determine the volume of the sphere below Round to the nearest hundredth 12 yd

YOU DO ROUND 1 1 Determine the volume of the figure below to the nearest tenth 5

3 A globe of the Moon has a radius of 10 inches Find the volume of the globe Round to the nearest whole number

Yusef is purchasing a pi ata for his sister s birthday party He wants to buy the pi ata that can hold the most items so she can fill it up with lots of goodies Below are the shapes of the two pi atas he is considering buying Which one should Yusef purchase Why 13 in 7 in 16 in

2 Determine the vertical and horizontal cross sections of the figure below then name it using the best name Vertical cross section Horizontal cross section

1 A rectangular pyramid has a base with an area of 18 in If the altitude of the pyramid is 14 in what is the volume of the pyramid 3 a 18 in b 84 in 42 in C d 252 in 3

Make a table to determine the sample space for the sum of rolling 2 dice Die 2 SUM 1 2 3 4 5 6 1 2 1 What is the size of the sample space 2 How many ways can you roll a 5 3 What is the probability of rolling a 5 3 Die 1 4 5 6

There are two triangles for which A 30 a 7 and b 10 The larger one has c and the smaller one has c Note You can earn partial credit on this problem

12 You have been hired to design a box rectangular prism with a volume of 24 m The height of the box must be 2 m a Create a table like the one below and fill in the blanks Use whole numbers for dimen sions 6 marks Length m 1 2 3 4 6 12 Width m Height m 2 2 2 2 2 2 Volume m 24 24 24 24 24 24 Surface Area m

3 Solve for x rounded to one decimal place 2 marks cos 59 36 Copyright 2019 The Ontario Educational Communications Authority All rights reserved

5 If tan C 0 6687 find angle C rounded to the nearest degree Angle C is between 0 and 180 3 marks

1 Convert each measure 4 marks a 8 ft 6 in to the nearest centimeter b 300 g to the nearest ounce

2 The equation x 6x y2 6y 9 0 is an equation of a circle in expanded form Complete the square to find the center and radius and then write the equation of the circle in standard form To earn full credit you must show your work a center b radius c Equation