By accessing our **180 Days of Math for Sixth Grade Answers Key Day 7** regularly, students can get better problem-solving skills.

## 180 Days of Math for Sixth Grade Answers Key Day 7

**Directions Solve each problem.**

Question 1.

45 + 27 = ______

Answer:

45+27 = 72.

Explanation:

The addition of 45 and 27 is 72.

Question 2.

Answer:

6×8 = 48.

Explanation:

The multiplication of 6 and 8 is 6×8 = 48.

Question 3.

Calculate 36 divided by 6.

___________________

Answer:

36÷6 = 6.

Explanation:

The division of 36 by 6 is 36÷6 = 6.

Question 4.

List the factors of 40.

___________________

Answer:

1, 2, 4, 5, 8, 10, 20, 40.

Explanation:

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.

Question 5.

Write 0.61 as a fraction.

_______________

Answer:

The given decimal is 0.61, so as a fraction it will be \(\frac{61}{100}\)

Question 6.

126 ÷ 9 • 2 = ______

Answer:

126 ÷ 9 • 2 = 128.

Explanation:

Given the expression is 126 ÷ 9 • 2, by using the BODMAS rule first we will perform division, and then we will perform multiplication. So 126 ÷ 9 • 2

= 14×2

= 28.

Question 7.

Solve for n.

\(\frac{1}{4}\) • n = 4

n = ____

Answer:

n = 16.

Explanation:

Given the expression is \(\frac{1}{4}\) • n = 4

n = 4 × 4

= 16.

Question 8.

× 10 = 30

Answer:

X = 3.

Explanation:

Let the missing digit be X, so

X × 10 = 30

X = \(\frac{30}{10}\)

= 3.

Question 9.

Calculate the perimeter of the shape.

_______________

Answer:

The perimeter is 20 cm.

Explanation:

The above shape is a pentagon and the perimeter of a pentagon is 5a which is

= 5 × 4

= 20 cm.

Question 10.

How many faces are on the solid?

_______________

Answer:

Four faces.

Explanation:

The above solid is Rectangle and it has four faces.

Question 11.

Two red cubes, two green cylinders, and three yellow rectangular prisms were put in a bag. If you reach into the bag and pull out an object, what is the probability that you will pull out a green cylinder?

_____________________

Answer:

The probability of pulling out a green cylinder is \(\frac{2}{7}\).

Explanation:

Given that there are two red cubes, two green cylinders, and three yellow rectangular prisms were put in a bag. As there are a total of seven objects, the probability of pulling out a green cylinder is \(\frac{2}{7}\).

Question 12.

Shaundra is 5 years older than her brother. If the sum of their ages is 31, how old is Shaundra?

Answer:

Shaundra’s age is 18 years.

Explanation:

Given that Shaundra is 5 years older than her brother and the sum of their ages is 31. Let Shaundra’s brother’s age be X and Shaundra’s age is X+5. So the equation will be

(X) + (X+5) = 31,

2X + 5 = 31,

2X = 31 – 5,

2X = 26,

X = \(\frac{26}{2}\)

= 13.

So Shaundra’s age is 13+5 = 18.