6th Grade TCAP Math Review

Front

What is the process to find the total amount of grapes each friend received if Amy shared 3/4 of a pound of grapes and each friend received 1/6 of the grapes?

Back

To find the total amount each friend received, divide the total grapes (3/4) by the number of friends (1/6). This is done by multiplying 3/4 by the reciprocal of 1/6, which is 6/1. Thus, (3/4) * (6/1) = 18/4 = 4.5, which means each friend received 1/8 pound.

Front

How do you calculate the number of fence panels needed if each panel is 3 3/4 inches wide and the gate is 5 feet wide?

Back

First, convert 5 feet to inches (5 feet = 60 inches). Then, divide the total width of the gate (60 inches) by the width of one panel (3 3/4 inches = 15/4 inches). So, 60 / (15/4) = 60 * (4/15) = 16 panels.

Front

What is the order of operations in mathematics?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often remembered by the acronym PEMDAS.

Front

What is an equivalent expression for 8 * 3 + 5?

Back

An equivalent expression is 8 + 8 + 8 + 5, which simplifies to the same value as 8 * 3 + 5.

Front

How do you simplify the expression 12(x + 3) + 8x + 12?

Back

Distribute 12 to (x + 3) to get 12x + 36. Then combine like terms: 12x + 8x + 36 + 12 = 20x + 48.

Front

What does a negative integer represent in a price reduction context?

Back

A negative integer represents a decrease in value. For example, if a CD player was reduced by $15, it is represented as -15.

Front

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

Back

The area of a rectangle is found by multiplying its length by its width (Area = Length × Width).

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 3 1/4 = (3*4 + 1)/4 = 13/4.

Front

What is the value of the expression 5 + 2 * 3?

Back

Using the order of operations, first multiply 2 * 3 = 6, then add 5 + 6 = 11.

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.