9th Grade Math

Geometry

100

The perimeter of a rectangle is 60 cm. The length of the rectangle is 10 cm longer than the width. Find the area of the rectangle in cm2 .

200 cm^2

200

The length of a rectangle is 3 more inches than its breadth. The area of the rectangle is 40 in2. What is the perimeter of the rectangle?

26 inches

300

The base area of a cylinder is 154 cm² and height is 5 cm. Find the volume of a cylinder

770 cm².

400

The measures of the three angles of a triangle are in the ratio 4:5:9. Find the measure of the largest angle.

Hint: The sum of the angles of a triangle is 180𝑜 .

90 degrees

500

What is the area of a circle in terms of π, whose diameter is 16 cm?

64π cm2.

Equations and Expressions

100

Write the sentence as an algebraic expression “seven less than twice the sum of a number and three”.

2(x+3)-7

200

Solve the equation: 5(𝑥 − 1) + 4 = 3𝑥 − 9

x = -4

300

Simplify the expression:

 5² + (-24) ÷ 4/5

-5

400

Solve the system of equations:

5𝑥 − 2𝑦 = 11

3𝑥 + 2𝑦 = 5

Write the solution as an ordered pair.

(2, -1/2)

500

Evaluate and simplify. Write your answer as a mixed fraction:

2/3 (2𝑎 − 𝑏), 𝑎 = 6, 𝑏 = -3/4

8 1/2

Linear Functions

100

Solve: 3x − 5 ≤ 3 − x

x ≤ 2

200

Solve: |5x − 8| ≤ 12

-4/5 ≤ x ≤ 4

300

Given the lines 5𝑥 + 4𝑦 = 8 𝑎𝑛𝑑 𝑦 = −4, find the point of intersection.

(24/5,-4) OR (4 4/5 , −4) OR (4.8,-4)

400

Given 𝑓(𝑥) = 3𝑥 2 − 2𝑥 − 7 ; find 𝑓(−1)

Answer: -2

500

Given the equations of the line 𝑥 − 2𝑦 = 6:

1. Write the equation of the line in slope intercept form 𝑦 = 𝑚𝑥 + 𝑏

2. Identify the slope and y-intercept

𝑦 = 1/2 𝑥 − 3

Slope: ½, y-intercept: (0,-3)

Ratios and Percents

100

There are 30 students in the class. 60% of them wear glasses. How many students do not wear glasses?

12 students

200

Derek received 6 job offers from the 15 interviews he did last month. Which ratio best describes the relationship between the number of jobs he was not offered and the number of jobs for which he interviewed

3/5

300

Gordon purchased a television when his local electronics store had a sale. The television was offered at 30% off its original price of $472. What was the sale price that Gordon paid

$330.40

400

Rick renovated his home. He made his bedroom 40% larger (length and width) than its original size. If the original dimensions were 144 inches by 168 inches, how big is his room now if measured in feet?

19.6 ft

500

Tom’s height is 1.75 metres, and his shadow is 1.09 metres long. A building’s shadow is 10 metres long at the same time. How high is the building?

16.055m

Random Trivia

100

What is the capital of Pennsylvania? 

Harrisburg

200

What is the only food that can never spoil?

Honey

300

What is the name of the pig in Charlotte's Web?

Wilbur

400

The shooting of whom, in 1914, started World War I?

Archduke Franz Ferdinand

500

How many moons does Neptune have?

14