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## 180 Days of Math for Sixth Grade Answers Key Day 43

**Directions Solve each problem.**

Question 1.

79 + 4 = ___

Answer:

79+4 = 83.

Explanation:

By adding 79 and 4 we will get 79+4 = 83.

Question 2.

10 Ã— 13 = ______

Answer:

10 Ã— 13 = 130.

Explanation:

By multiplying 10 and 13 we will get 10 Ã— 13= 130.

Question 3.

Answer:

40Ã·10= 4.

Explanation:

By dividing 40 by 10 we will get 40Ã·10= 4.

Question 4.

Round 2,449 to the nearest hundred.

_______________________

Answer:

3,000.

Explanation:

By rounding 2,499 to the nearest hundred we will get 3,000.

Question 5.

\(\frac{4}{5}\) of 30 is ___.

Answer:

\(\frac{4}{5}\) of 30 is 24.

Explanation:

Given \(\frac{4}{5}\) of 30 which is

\(\frac{4}{5}\) Ã— 30

= 4 Ã— 6

= 24.

Question 6.

Write the missing numbers in the pattern.

-5, -4, ___, _____, -1, 0

Answer:

The missing numbers are -3, -2.

Explanation:

TheÂ missing numbers in the pattern are -3, -2, as the pattern follows countback off -1 to the numbers. So the complete pattern is -5, -4, -3, -2, -1, 0.

Question 7.

% of 90 is 45.

Answer:

50% of 90 is 45.

Explanation:

Let the missing digit be X, so the expression will be X% of 90 is 45

latex]\frac{X}{100}[/latex] Ã— 90 = 45

latex]\frac{9X}{10}[/latex] = 45

9X = 45Ã—10

X = latex]\frac{45Ã—10}{9}[/latex]

= 50.

Question 8.

127 56 = 183

Answer:

127+56= 183.

Explanation:

By adding 127 and 56 we will get 127+56 = 183.

Question 9.

How many millimeters are in 4.2 centimeters?

_______________________

Answer:

42 mm.

Explanation:

As 1 cm is 10 mm, so 4.2 cm is

4.2 cm = 4.2Ã—10

= 42 mm.

Question 10.

Name the solid figure.

________________

Answer:

Hexagonal prism.

Explanation:

The above solid figure is a Hexagonal prism.

Question 11.

Steve, Mark, Melissa, Joe, and Mary are in a group. They randomly line up at the door. What is the probability that the name of the first person in line begins with L?

_______________________

Answer:

Given,

Steve, Mark, Melissa, Joe, and Mary are in a group. They randomly line up at the door.

Total = 5

None of their names start their names with the letter L.

So, the probability that the name of the first person in line begins with L is 0/5.

Question 12.

Jan doubled her starting number, added 5, subtracted 7, divided by 3, then squared the result, If her final answer was 36, what was her starting number?

________________

Answer:

The starting number is 8.

Explanation:

Given Jan doubled her starting number, the number be 2X. And added 5 to that number, so the number be 2X+5 and subtracted 7 then 2X+5-7 which is 2X+2 then divided by 3 which is (2X+2)Ã·3 and then squared the result [(2X+2)Ã·3]^2. So the final answer was 36,

[(2X+2)Ã·3]^2 = 36,

(2X+2)Ã·3 = 6,

(2X+2) = 6Ã—3

(2X+2) = 18,

2X = 18-2

2X = 16,

X = latex]\frac{16}{2}[/latex]

= 8.