Chapter 6 Quiz

John orders a large 12" pizza at his local pizza place. If he cuts it into six equal pieces and eats half of those pieces,

how many equal pieces are left?

• 1/3

• 3/6

• 6

• 1/4

Answer explanation

If we split the pizza into 6 equal parts, then we have a total of 6/6 parts. We know that half of 6 is 3, so then we take away three of those pieces and we are left with 3/6 parts.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

What fraction does this circle represent?

(Hint: How many parts of the circle are colored)

• 1/3

• 3/6

• 2/4

• 2/5

Answer explanation

There are a total of five parts of the circle. Two of them are colored red. This means that this circle represents 2/5.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2A

Are these two fractions equivalent?

• Yes

• No

Answer explanation

Yes! The first fraction is 1/3 and the second fraction is 2/6.

We know that these two fractions are equivalent to each other. One way we can tell is by seeing that the area taken up is the same, and the other way is by using math! If we multiply 2/6 by 2/2, we get 1/3.

Tags

CCSS.4.NF.A.1

CCSS.5.NF.B.5B

What fraction of these shapes are triangles?

• 1/2

• 2/8

• 3/8

• 1/4

Answer explanation

There are a total of eight shapes in the picture. Three of these shapes are triangles. This means that 3/8 of the shapes in the picture are triangles.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

How many of these shapes in the picture are yellow?

Hint: use equivalent fractions

• 1/4

• 3/8

• 3/6

• 5/8

Answer explanation

There are a total of eight shapes in the picture, and two of them are yellow. This means that 2/8 of them are yellow, but we also know that 2/8 is equivalent to 1/4. This means that the answer is 1/4.

Tags

CCSS.4.NF.A.1

CCSS.5.NF.B.5B

If you add these two fraction circles together, what is the resulting fraction?

• 1/3

• 5/6

• 1/2

• 5/12

Answer explanation

The first circle represents 3/6 as three of the six parts are shaded green. The second circle represents 2/6 as two of the six parts are shaded green.

Adding these two fractions together, we get 5/6, since we do NOT add the denominators.

Tags

CCSS.4.NF.B.3B

If we add these two fraction circles together, what improper fraction are we left with?

• 12/10

• 11/10

• 1 and 1/5

• 4/10

Answer explanation

For improper fractions, we ignore that the numerator has a higher number than the denominator. We just add the total of shaded parts in the fraction circles as the numerator anyways, rather than converting them to a mixed number.

Since there are a total of twelve shaded parts and ten shaded parts per circle, then the improper fraction for this addition problem is 12/10

Tags

CCSS.4.NF.B.3A

What is the mixed number representing these two fraction circles?

• 1 and 1/5

• 1 and 1/10

• 12/10

• 1 and 1/3

Answer explanation

For this problem, you want to add the circles to complete a whole number (10/10), and then simplify the remaining fraction (2/10) which simplifies to 1/5. This leaves us with the answer of 1 and 1/5.

The answer 12/10 is incorrect as this is an improper fraction, and not a mixed number, which is what this question was looking for.

Tags

CCSS.3.G.A.2

Marie has a party with her three friends. They order four large pizzas, each of which are cut into six equal parts.

If each person, including Marie has three slices of pizza, how many slices does she have left over?

Simplify your answer.

• 1/4; one whole pizza

• 15/24; 15 slices of pizza

• 24/3; 8 slices of pizza

• 1/2; two whole pizzas

Answer explanation

There are four pizzas, which have been cut into six parts, which means there are a total of 24 slices. (6*4=24)

If Marie eats the pizza with her friends, then there are four people eating the pizza. (3+1=4)

If each person, eats three slices of pizza, then all together they eat 12 slices of pizza (4*3=12).

This means that there are 12/24 of the original slices of pizza, which we then simplify to half of the original slices, meaning there are 2 whole pizzas left. (12/24=1/2, and 1/2*4= 2)

Tags

CCSS.5.NF.B.7B

CCSS.5.NF.B.7C

What fraction does this represent?

If we remove five equal parts from this fraction, what fraction do we have left?

Make sure to simply your answers all the way.

• 11/12; 7/12

• 11/12; 3/6

• 11/12; 1/2

• 10/12; 5/12

Answer explanation

For this problem, you had to subtract the five equal parts from what was shaded not the entire circle.

This means you would have gotten 11-5=6, meaning there was 6 equal parts left.

This can then be simplified. If you simplified it to 3/6, the answer is correct, but not simplified fully as 3/6 can be simplified to 1/2. This means that 1/2 was the most simplified and correct answer.

6/12=3/6=1/2

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B