EQAO Grade 9 Mathematics Assessment 3

Question 1

The hypotenuse of a right triangle is 13 cm and one leg is 5 cm. What is the length of the other leg?

Accepted Answer

12 cm

Answer

Using the Pythagorean theorem: 5² + b² = 13², so 25 + b² = 169, giving b = 12 cm.

Question 2

Which of the following is a correct first step to solve 2x + 5 = 13?

Accepted Answer

Subtract 5 from both sides

Answer

Subtracting 5 from both sides isolates the term with the variable: 2x = 8.

Question 3

A taxi charges a flat fee of $3.00 plus $1.50 per kilometre. Which equation models the total fare F for k kilometres?

Accepted Answer

F = 3.00 + 1.50k

Answer

The flat fee is the initial value and the per-kilometre rate is the slope: F = 3.00 + 1.50k.

Question 4

What is the area of a triangle with base 10 cm and height 6 cm?

Accepted Answer

30 cm²

Answer

Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30 cm².

Question 5

Which scatter plot trend indicates a positive correlation?

Accepted Answer

Points go from lower left to upper right

Answer

A positive correlation means as x increases, y also increases, so points trend from lower left to upper right.

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