Grade 6 Math Review

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other. For example, the ratio 35:14 can be simplified to 5:2.

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, the absolute value of -9 is 9.

Front

How do you locate a point on a coordinate plane?

Back

A point is located on a coordinate plane using an ordered pair (x, y), where 'x' is the horizontal position and 'y' is the vertical position. For example, the point (5,2) is 5 units right and 2 units up from the origin.

Front

How do you find the cost of one item when given the total cost and quantity?

Back

To find the cost of one item, divide the total cost by the number of items. For example, if 6 notebooks cost $13.50, the cost of one notebook is 13.50 ÷ 6.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of their variables. For example, 16a + 24b is equivalent to 8(2a + 3b).

Front

What is a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value in mathematical expressions or equations, often denoted by letters like x, y, or a.

Front

What is the process of simplifying a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, to simplify 35:14, divide both by 7 to get 5:2.

Front

What is the significance of the coordinate plane?

Back

The coordinate plane is a two-dimensional surface where points are defined by pairs of numbers (x, y). It helps in graphing equations and understanding relationships between variables.

Front

What is the formula for finding the area of a rectangle?

Back

The area of a rectangle is found using the formula: Area = length × width.

Front

What is the difference between a prime number and a composite number?

Back

A prime number has exactly two distinct positive divisors: 1 and itself. A composite number has more than two positive divisors.