Geometry Questions

Show all work for each question 17 Given the graph Height 1 2 3 4 5 6 23 4 6 Age versus Height Age 7 a Describe any trends you see 2 marks

11 When graphing one variable data is the frequency the dependent or the independent variable 1 mark

3 Write a proportion you could use to find the value of a 3 Ex 1 2 9 1 a

of the right triangle shown at the right 4 2 Ex 20 42 ype a response Show Your Work

9 In circle Z If RS 18 and mTY 42 find each measure TV TU WS MYU 9 TV 9 TU 18 WS 9 arc YU 42 arc RS 85

DC 0 In circle I if BG 17 and mCHA 256 10 find each measure MIN B F E H BC FB mAB mBC mEC

Uses circular corkboards to make 18 watermelon coasters to sell at a craft fair 31 He paints one side of each coaster with special paint Each jar of paint covers 200 in Will one jar of paint be enough to paint all the coasters 32 He puts decorative tape around the edge of each coaster How much tape does he need for each coaster 8 in 72

5 29 What is the area of the segment 10ft Q M N 30 T 5m A B 144 30 Round to two decimal places

33 Error Analysis Luke was asked to compute the length of AB What is Luke s error S 1 5 radians A n 360 1 5 360 2Ttr 2 3 3 B

4 27 What is the area of the sector A 3 165 F B 28 H G 59 10 T

8x 12 E B D C 10x 22 13 14 15 16 X MAD mCD mBDC

25 What is the length of AD Express the answer in terms of B A C 43 73 104 P D 26 Use OQ Express answers in terms of What is the length of JK radians H Q LO 3 4 Tradians K

Directions Find each angle and arc measures 1 M 21 N K L 5 2 3 4 1 mJK mZJNM mKL mJKM mMKL 2 72 W S T 87 X V U 7 6 m UXV mST mWV mTW mTVW 8 9 10

Find x 76 N X 6x 20 Y Type a response If MP 5x 34 and PN 2x 4 find MP K M 3 GN

Directions Find each value or measure 11 U R 15x 26 T S 26 X 12 18x 2 E D 15 H G F 103 X

Degrees Radians Radians Degrees Directions Convert each measure to radians 17 30 18 20 5 150 Directions Convert each measure to degrees 4T 21 3 5A 36 19 220 7A 22 4 N

3 Find XY 9x 34 V W X 4x 1 Find mRS R J Q 11x 72 5r 6

If DE 11x 15 and FG 32x 27 find DE D H E G 8 Find mMP 8 9x 43 N M 5r 33 P

f x 10 7 subtract 9 take reciprocal multiply by 2 subtract 9 take reciprocal multiply by 2 subtract 9

Find the measures of the missing angles in the trapezoid 1 99 2 51 A Find the measures of the missing angles in the trapezoid 99 2

Find a polynomial for the volume of the following solid The polynomial for the volume of the solid is Simplify your answer Do not factor x 4 m x m 9m 10 m x m 11 m

M 2 B AD AB CD CB tangent to circle 0 Suppose that NP BD are not parallel Prove that QM NP BP are concurrent H

Use transformations of f x x to graph the following function h x x 4 6 Use the graphing tool to graph the function Click to enlarge graph 10 6 4 2 10 8 6 4 NO 2 4

8 Graph the transform function on the same graph as its parent function a f x x 3 2 b f x 2x 31 5 10 104

Use transformations of the standard cubic function f x x to graph the function h x 5x Use the graphing tool to graph the function Click to enlarge graph For any answer boxes shown with the grapher type an exact answer 0 8 6 4 2 10 8 6 4 2 2 Ay 4 6 8 0 8 10 A

Establish the identity cos 8 tan 8 cot 8 csc 8 Write the left side in terms of sine and cosine cos B Simplify the expression inside the parentheses from the previous step and write the result in terms of sine and cosim cos 8 Simplify the expression from the previous step and write the result in terms of sin 8 The fraction from the previous step then simplifies to csc 8 using what OA Pythagorean Identity OB Cancellation Property OC Even Odd Identity OD Quotient Identity al Identit

A sphere with a radius of 2 5 feet

4 Imagine that the Consumer Price Index for Canada in 2020 was 102 6 Assume a base year was established in 2006 a What can you conclude about prices in Canada in 2020 1 mark b If a set of tires cost 440 in 2006 how much would the same set of tires cost approximately in 2020 2 marks

Type the correct answer in the box A printer creates a right triangular card where the hypotenuse h is three times as long as the shorter leg What is the length of the longer leg I in terms of h Write the answer in simplest form by replacing a b and c with the correct values 1 0 101 Vo 4 a bh X S 2 TE a e 9 sin cos tan sin cos tan AP CSc sec cot log log In 11 0 L ZAN U 0 00

PLE 3 For each quadratic function find the axis of symmetry of its graph 10 y 3x 18x 1 9 y x 4x 7 11 y 2x 3x 4 12 y 3x x 5

Find the axis of symmetry of each parabola 6 7 9 2 4 2 8

3 A test has a maximum possible score of 200 The results achieved by a class of 20 students are listed 168 152 112 88 95 123 177 166 145 104 112 156 110 141 177 166 134 190 111 and 120 Calculate the percentile rank of a score of 141 to the nearest percentile 4 marks

e parabolic arch shown in the ligure is 30 feet above the water at the center and 200 feet wide at the base Will a boat that is 30 feet Il clear the arch 68 feet from the center hoose the correct answer below O Yes 100 ft 100 ft 50 ft

For the figure determine what the missing number must be in order for the figure to have an area of t 51 6 The missing number is Simplify your answer Type an integer or a decimal QUD E

a Convert the Cartesian coordinates 2 5 to polar coordinates with r 0 0 0 27 Remember to consider the quadrant in which the given point is located b In the graph below find the polar coordinates of the point in Quadrant 3 two ways one with r 0 and one with r 0 and both satisfying 0 0 2 Please show all steps on paper G KIN 0 5 1 5 2 5 3 5 0

res of the following angles in the isosceles trapezoid 74 2 3 37

If the point 20 23 is on the graph of y g x which one of the following points must be on the graph of y g x 7 27 23 O 20 30 13 23 O 20 16 O 16 19

Jai spots an airplane on radar that is currently approaching in a straight line and that will fly directly overhead The plane maintains a constant altitude of 5375 feet Jai initially measures an angle of elevation of 15 to the plane at point A At some later time he measures an angle of elevation of 30 to the plane at point B Find the distance the plane traveled from point A to point B Round your answer to the nearest foot if necessary

A boat is heading towards a lighthouse where Dalvin is watching from a vertical distance of 138 feet above the water Dalvin measures an angle of depression to the boat at point A to be 13 At some later time Dalvin takes another measurement and finds the angle of depression to the boat now at point B to be 45 Find the distance from point A to point B Round your answer to the nearest tenth of a foot if necessary

2 For each day in the month of March the number of cars given speeding tickets was as follows 56 57 43 56 87 37 76 55 29 65 84 74 46 58 61 40 43 60 51 77 53 47 50 81 61 44 55 54 76 39 and 77 a What was the median number of tickets given out on any particular day in the month of March 2 marks b If your friend was caught speeding on a day when only 43 tickets were awarded does the day rank below the lower quartile 3 marks

Find mZEOF for Oo mZEOF Simplify your answer COLL G To 0

X Simplify your answer x 60 R 4x 60 A P 3x 8

The length of the arc is m Simplify your answer Type an exact answer in terms of x CIT 9m

Find the length of the arc shown in red Leave your answer in terms of The length of the arc is ft CELEB 42 ft

An outlier is an extreme value that is significantly less or more than the rest of the data In the data below take out the outlier then calculate using a statistics calculator or spreadsheet the standard deviation of the heights of 15 soda cans 92 8 92 8 92 9 92 9 92 9 92 8 92 7 92 9 92 1 92 7 92 8 92 9 92 9 92 7 92 8 Round to the nearest 100th

The standard deviation of the given data 14 13 16 9 3 is

Which data set would give the smallest standard deviation Select one a 100 150 200 250 300 Ob 2 20 102 80 80 c 100 200 250 300 350 d 1 5 7 150 2

If 100 then the area under the curve to the right of ui 100 10 50

Students at Roseville High School took an IQ test with a mean of 100 and a standard deviation of 15 Approximately 95 of the IQ scores are between and

o represents the standard deviation area mean population