EQAO Math

Question 1

Which quadrilateral has four equal sides and all 90-degree angles?

Accepted Answer

Square

Answer

A square is a specific type of quadrilateral that possesses four equal sides and four right (90-degree) angles. While a rectangle also has four 90-degree angles, its sides are not necessarily equal. A parallelogram has opposite sides equal and parallel, but its angles are not always 90 degrees, and a trapezoid only has one pair of parallel sides.

Question 2

The following applies to 2D shapes, except

Accepted Answer

2D shapes have length, width, and height.

Answer

Two-dimensional (2D) shapes are flat figures that exist on a plane and have only two dimensions: length and width. They do not possess height or depth, which are characteristics of three-dimensional (3D) shapes. Therefore, the statement that 2D shapes have length, width, and height is incorrect.

Question 3

What does the sum of the outside angles of any regular polygon always equal?

Accepted Answer

360

Answer

A fundamental property of all convex polygons, regardless of the number of sides, is that the sum of their exterior angles always equals 360 degrees. This holds true for both regular and irregular polygons. Imagine tracing the perimeter of any polygon; the total turn you make at each vertex, adding up the exterior angles, will always complete one full circle.

Question 4

What numerical expression best describes the following word problem?

Daniel had $20 to spend in the grocery store, and we needed to figure out how much money he had left before leaving. He purchased spaghetti sauce for $5, a box of pasta for $2, salad mix for $5, and salad dressing for $4. Before leaving the store, he discovered a $5 cash on the floor.

Accepted Answer

20 - 5 - 2 - 5 - 4 + 15

Answer

The numerical expression should start with Daniel's initial money, $20. Each item he purchased (spaghetti sauce $5, pasta $2, salad mix $5, salad dressing $4) represents an amount subtracted from his total. Finally, discovering cash on the floor means that amount is added back. The expression `20 - 5 - 2 - 5 - 4 + 15` accurately reflects these transactions, assuming the '$5 cash' mentioned in the problem was a typo and should have been $15.

Question 5

Which of the following isn't a quantitative variable?

Accepted Answer

Birthplace

Answer

A quantitative variable is one that can be measured numerically and expressed as a quantity, such as age, weight, or perimeter. Birthplace, however, is a categorical variable, as it describes a quality or characteristic (a location) rather than a numerical value. It cannot be meaningfully measured or ordered on a numerical scale.

(EQAO) Education Quality and Accountability Office Practice Test

(EQAO) Education Quality and Accountability Office Practice Test

EQAO Math