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## 180 Days of Math for Sixth Grade Answers Key Day 127

**Directions: Solve each problem.**

Question 1.

Answer: 140

Explanation:

Addition is the method of calculating the sum of two or more numbers.

Question 2.

5 Ã— 17 = _________

Answer: 85

Explanation:

Multiply means to add equal groups.

When we multiply, the number of things in the group increases.

The two factors and the productÂ are parts of a multiplication.

So, 5 Ã— 17 = 85

The numbers 5 and 17 are the factors,

85 is the product.

Question 3.

Divide 728 into 8 equal groups.

Answer: 91

Explanation:

By using long division method

Question 4.

List all of the factors of 56.

Answer:

1, 2, 4, 7, 8, 14, 28 and 56.

Explanation:

The factors of 56 are the numbers that are multiplied in pairs resulting in an original number 56.

Thus, the factors of 56 areÂ 1, 2, 4, 7, 8, 14, 28 and 56.

1 x 56 = 56

2 x 28 = 56

4 x 14 = 56

7 x 8 = 56

8 x 7 = 56

14 x 4 = 56

28 x 2 = 56

56 x 1 = 56

Question 5.

\(\frac{5}{12}\) of 144 is _________.

Answer: 60

Explanation:

\(\frac{5}{12}\) of 144

= \(\frac{5×144}{12}\)

= \(\frac{720}{12}\)

= 60

Question 6.

7 Ã— 8 – 4 Ã— 3 = _____________

Answer: 44

Explanation:

According to BODMAS rule Brackets, Order, Division, Multiplication, Addition, Subtraction.

7 Ã— 8 – 4 Ã— 3

= 56 – 12

= 44

Question 7.

.9 = %

Answer: 90%

Explanation:

.9 = %

Let the unknown number be x

0.9 = x%

x = 0.9 x 100

x = 90

Question 8.

Find z.

\(\frac{z}{21}\) = 7

z = _________

Answer:

z = 147

Explanation:

\(\frac{z}{21}\) = 7

z = 7 x 21

z = 147

Question 9.

Write 6 : 58 P.M. in a 24-hour time format.

Answer:

18:58 P.M

Explanation:

6 : 58 P.M. in a 24-hour time format is 18:58

where as, Write 6 : 58 P.M. is mentioned in 12 hours format.

Question 10.

How many faces are on the solid?

Answer:

5 faces

Explanation:

Given solid shape has four side faces and, one bottom face.

So, total 5 faces.

Question 11.

Two red cubes, two green cylinders, and three yellow rectangular prisms were placed into a bag. If you reach into the bag and pull out an object, what is the probability that it will not be a red block?

Answer:

\(\frac{2}{7}\)

Explanation:

Given, 2 red cubes

2 green cylinders

3 rectangular prisms

objects total 2 + 2 + 3 = 7

The probability that it will not be a red block = \(\frac{2}{7}\)

Question 12.

A collection of chickens and pigs has a total of 70 legs and 26 heads. How many chickens are there?

Answer:

17 Chickens

Explanation:

C = chickens; P = Pigs

2c + 4p = 70 legs

c + p = 26 heads

p = 26-c

2c + 4 (26-c) = 70

2c + 104 – 4c = 70

2c = 34

c = 17

p = 26 – c

p = 26 – 17

p = 9

36+34 = 70 legs

9 + 17 = 26 heads