2019 STAAR Released Questions 5th Grade MATH Pt1

Front

What is the importance of understanding the order of operations in solving math problems?

Back

The order of operations is crucial because it dictates the sequence in which calculations are performed, ensuring accurate results. The standard order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

Define a fraction and give an example.

Back

A fraction represents a part of a whole and is expressed as 'a/b', where 'a' is the numerator (the number of parts) and 'b' is the denominator (the total number of equal parts). For example, 1/2 represents one part out of two equal parts.

Front

What is the concept of perimeter, and how is it calculated for a rectangle?

Back

Perimeter is the total distance around a two-dimensional shape. For a rectangle, it is calculated by adding the lengths of all sides, or using the formula P = 2(length + width).

Front

Explain the concept of area and how to calculate it for a triangle.

Back

Area is the amount of space inside a two-dimensional shape. For a triangle, the area can be calculated using the formula A = 1/2(base * height).

Front

What is a decimal, and how does it differ from a fraction?

Back

A decimal is a way of expressing numbers that are not whole, using a point to separate the whole number part from the fractional part. For example, 0.75 is a decimal equivalent to the fraction 3/4.

Front

What is the significance of place value in understanding numbers?

Back

Place value determines the value of a digit based on its position in a number. For example, in the number 345, the '3' represents 300, the '4' represents 40, and the '5' represents 5.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, to convert 1/4 to a decimal, divide 1 by 4, which equals 0.25.

Front

What is the concept of volume, and how is it calculated for a rectangular prism?

Back

Volume measures the amount of space inside a three-dimensional object. For a rectangular prism, the volume is calculated using the formula V = length * width * height.

Front

Define the term 'mean' in statistics.

Back

The mean, often referred to as the average, is calculated by adding all the numbers in a set and then dividing by the count of numbers in that set.

Front

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

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A composite number is a natural number greater than 1 that has more than two positive divisors.