Quarter 4 Exam - Grade 9

1.

2 points

A right angled triangle has legs equal to 12cm and 13cm. What is the length of the hypotenuse? (solve on a paper)

Use Pythagorean Theorem carefully

25cm

313cm

17.7cm

2.

1 point

Find the Product of
√2*√2

2

4

√2

3.

2 points

Add

2√ 45 + 8√5

18√5

26√5

14√5

4.

2 points

Solve for x

√(x+3) = 9

x=84

x=6

x=78

5.

2 points

Use factoring to find the roots of x^2 + 7x + 10 = 0.

x=-4,-3

x=2, 5

x=-2, -5

x=4, 3

6.

3 points

Use Quadratic formula to find the roots of 5x^2 - 2x + 5 = 0 and choose the correct answer

Roots are Rational Numbers

There is only one root

There are no real roots

Roots are Irrational Numbers

7.

2 points

Find the discriminant for 2x^2 + 5x - 3 = 0

49

-5/2

1

8.

2 points

For the following data set solve the questions that follow:

11, 17, 20, 14, 20, 19, 15

Find mean (write answer with two decimal places)

9.

1 point

For the following data set solve the questions that follow:

11, 17, 20, 14, 20, 19, 15

Find median

10.

1 point

For the following data set solve the questions that follow:

11, 17, 20, 14, 20, 19, 15

Find Q1

11.

1 point

For the following data set solve the questions that follow:

11, 17, 20, 14, 20, 19, 15

Find Q3

12.

1 point

For the following data set solve the questions that follow:

11, 17, 20, 14, 20, 19, 15

Find Inter-Quartile Range

13.

1 point

For the following data set solve the questions that follow:

11, 17, 20, 14, 20, 19, 15

Find Semi-Interquartile Range

14.

4 points

Find Standard Deviation for the following data set

11, 17, 20, 14, 20, 19, 15

Carefully solve on paper

3.10

3.18

3.15

3.09

15.

1 point

How many combinations are possible?

10 shirts, 12 pants

30

120

22

16.

1 point

What is the theoretical probability of rolling 4 on a die?

1/6

4/6

1/4

17.

3 points

Assume you have a deck of cards. After each pull, you replace the card to the deck.
What is the probability of pulling a red card, then pulling a 5?

30/52

1/26

1/13

18.

2 points

Give the measure of complementary and supplementary angles for 78degrees

Complementary = 102, Supplementary = 12

Complementary = 2, Supplementary = 92

Complementary = 12, Supplementary = 102

19.

7 points

PART B:
Solve the following problem in a word doc or power point and submit on thinkwave. Write complete steps with the formula.
Tick the box below to confirm upload;

For the quadratic formula y = x^2 + 10x + 20
a) find axis of symmetry
b) find vertex
c) find x-intercepts if any (roots)
d) Neatly Graph on a graph paper

done

not done

20.

3 points

Solve the following problem in a word doc or power point and submit on thinkwave. Write complete steps with the formula.
Tick the box below to confirm upload;

Find x for the triangle in below link using trigonometric ratios;

https://drive.google.com/file/d/0B-hccokp8HdOQ0trRjUzdVpqRTA/view?usp=sharing

done

not done

21.

3 points

Solve the following problem in a word doc or power point and submit on thinkwave. Write complete steps with the formula.
Tick the box below to confirm upload;

Triangles in below link are similar, find missing side length (x) by forming proportions;

https://drive.google.com/file/d/0B-hccokp8HdOWHU4OHJPYmFoTmM/view?usp=sharing

done

not done