By accessing our **180 Days of Math for Sixth Grade Answers Key Day 75 **regularly, students can get better problem-solving skills.

## 180 Days of Math for Sixth Grade Answers Key Day 75

**Directions Solve each problem.**

Question 1.

-6 + 2 = ___

Answer:

Let us consider the numbers without signs

-(-6 + 2) = 6 – 2 = 4

The greater number has negative sign so the result will be negative.

So, -6 + 2 = -4

Question 2.

102 Ã— 4 = ____

Answer:

By multiplying 102 by 4 we get 408.

Question 3.

Answer:

The quotient is 72 and the remainder is 0.

Question 4.

What is the even number after 699?

_______________________

Answer: The even number after 699 is 700.

Question 5.

\(\frac{8}{9}\) – \(\frac{4}{9}\) = ____

Answer:

\(\frac{8}{9}\) – \(\frac{4}{9}\)

The denominators of both the fractions are same.

So, we can subtract the numerators.

\(\frac{8}{9}\) – \(\frac{4}{9}\) = \(\frac{8-4}{9}\) = \(\frac{4}{9}\)

Question 6.

11 + 38 + (-12) = _____

Answer:

11 + 38 + (-12) = 11 + 38 – 12

= 49 – 12

= 37

Question 7.

6 + 6 + 6 + 6 = 4 Ã—

Answer:

6 + 6 + 6 + 6 = 24

24 = 4 Ã— x

x = 24/4

x = 6

6 + 6 + 6 + 6 = 4 Ã— 6

Question 8.

Write the expression for the quotient when a is divided by b.

_______________________

Answer: a Ã· b

Question 9.

Calculate the area of a rectangle that is 8 m by 9 m.

_______________________

Answer:

Given

L = 8 m

W = 9 m

We know that,

Area of a rectangle = l Ã— w

A = 8 Ã— 9

A = 72 sq. meters

Question 10.

Is 75Â° an acute or an obtuse angle?

_______________________

Answer: 75Â° is an acute angle because it is less than 90 degrees.

Question 11.

What is the median of this set of data?

61, 70, 63, 65, 71, 82

_______________________

Answer: Given data,

61, 63, 65, 70, 71, 82

Median = (65+70)/2

= 135/2 = 67.5

Question 12.

Complete the magic square so each row, column, and diagonal adds up to the same number. Use each number 3 – 11 only once.

3 | 8 | |

7 | ||

6 |

Answer:

2 | 3 | 8 |

5 | 7 | 1 |

6 | 4 |