Quiz about Rational and Irrational Numbers – Review Test

Question 1

William is trying to measure the length of a diagonal in his square garden. He finds that the number he gets cannot be written as a fraction and its decimal goes on forever without repeating. What kind of number has these properties?

Accepted Answer

It cannot be written as a fraction and its decimal goes on forever without repeating

Answer

It can be written as a fraction

Answer

It has a repeating decimal

Answer

It is a whole number

Question 2

Hannah is baking a cake and uses 0.25 cups of sugar. Why is the number 0.25 considered rational?

Accepted Answer

It terminates as a decimal and equals 1/4

Answer

It is an irrational number

Answer

It cannot be written as a fraction

Answer

Its decimal never repeats or ends

Question 3

Abigail is sorting different types of numbers for her math project. She comes across the following numbers. Which one is irrational?

Accepted Answer

2.236067...

Answer

15/4

Answer

0.333...

Answer

-5

Question 4

Maya is sorting different types of numbers for her math project. Which of the following statements is TRUE about the numbers she might encounter?

Accepted Answer

All fractions are rational numbers.

Answer

All fractions are irrational numbers.

Answer

All repeating decimals are irrational numbers.

Answer

All integers are irrational numbers.

Question 5

Emma is baking a pie and needs to divide it equally among her 7 friends. She decides to use 22/7 as the measurement for each slice. Why is 22/7 considered a rational number?

Accepted Answer

It can be written as a fraction.

Answer

It is a non-repeating, non-terminating decimal.

Answer

It is an irrational number.

Answer

It is a repeating decimal.

Question 6

Ethan is measuring the amount of water dripping from a leaky faucet. Every second, about 0.333... liters of water drips out. Which of the following best describes the decimal 0.333...?

Accepted Answer

Repeating

Answer

Terminating

Answer

Non-Repeating

Answer

Whole number

Question 7

Grace is measuring the amount of juice she pours into a glass, and her measuring cup shows 0.333... liters. What type of decimal is 0.333...?

Accepted Answer

Repeating

Answer

Terminating

Answer

Non-Repeating

Answer

Irrational

Question 8

Samuel is trying to calculate the value of a mathematical constant used in many real-world applications, such as compound interest and population growth. He knows that this constant is a non-repeating decimal and is approximately equal to which of the following?

Accepted Answer

2.718...

Answer

0.333...

Answer

0.25

Answer

0.5

Question 9

Zoe is calculating the total cost of her groceries. She notices that the price of one item is $2.75, and when she adds it to her bill, the decimal ends after two digits. Which of the following describes this type of decimal?

Accepted Answer

Terminating decimal

Answer

Repeating decimal

Answer

Non-repeating decimal

Answer

Infinite decimal

Question 10

Grace is measuring a piece of ribbon and finds that its length is 0.333... meters, where the digit 3 repeats infinitely. What type of decimal is this?

Accepted Answer

A decimal in which one or more digits repeat infinitely

Answer

A decimal that ends after a certain number of digits

Answer

A decimal that never repeats and never ends

Answer

A decimal that is always less than 1

Question 11

Kai is measuring the length of a path and writes down the decimal value he gets. He notices that the decimal does not end and does not repeat. What label would you give to this kind of decimal?

Accepted Answer

Non-repeating

Answer

Terminating

Answer

Repeating

Answer

Whole number

Question 12

James is measuring the side of a square garden that has an area of 144 square meters. Is the length of one side of the garden a rational or irrational number?

Accepted Answer

Rational

Answer

Irrational

Answer

Both

Answer

Neither

Question 13

Sophia is measuring the side of a square garden that has an area of 9 square meters. What is the length of one side of the garden, and is this length rational or irrational?

Accepted Answer

3, Rational

Answer

3, Irrational

Answer

~4.5, Rational

Answer

~4.5, Irrational

Question 14

Hannah is measuring the side length of a square garden that has an area of 121 square meters. What is the length of one side of the garden, and is this number rational or irrational?

Accepted Answer

11, Rational

Answer

11, Irrational

Answer

~7.1, Rational

Answer

~8.7, Irrational

Question 15

Ava is organizing her collection of marbles. Which of the following is an instruction she might use to arrange the marbles by their numbers as given in the material?

Accepted Answer

Order the numbers from smallest to largest.

Answer

Order the numbers from largest to smallest.

Answer

Order the numbers alphabetically.

Answer

Order the numbers by color.

Question 16

Benjamin is helping his teacher arrange numbers from smallest to largest for a classroom activity. What is the main topic of the learning material?

Accepted Answer

Ordering Numbers

Answer

Multiplying Fractions

Answer

Solving Equations

Answer

Graphing Lines

Question 17

Kai is trying to find two perfect squares that are closest to the number 7 for his math homework. Which two perfect squares should he choose?

Accepted Answer

4 and 9

Answer

1 and 4

Answer

9 and 16

Answer

16 and 25

Question 18

Olivia wants to estimate the square root of 50, which is not a perfect square. What is the first step she should take according to the directions?

Accepted Answer

Find the nearest perfect squares

Answer

Multiply the number by itself

Answer

Divide the number by 2

Answer

Round the number to the nearest ten

Question 19

Benjamin is measuring the temperature and finds it has dropped by 5/8 degrees. Is -5/8 a rational number?

Accepted Answer

yes

Answer

no

Question 20

Aria is sorting different types of numbers for her math project. She comes across the following numbers. Which one is not a rational number?

Accepted Answer

$$\sqrt{5}$$

Answer

$$-3$$

Answer

$$2.7$$

Answer

$$\sqrt{4}$$

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