By accessing our **180 Days of Math for Sixth Grade Answers Key Day 178** regularly, students can get better problem-solving skills.

## 180 Days of Math for Sixth Grade Answers Key Day 178

**Directions: Solve each problem.**

Question 1.

Calculate the sum of 154, 38, and 49.

Answer:

154 + 38 + 49 = **241**

Explanation:

Perform addition operation on above three given numbers. Add 154 with 38 and 49 the sum is 241.

Question 2.

27 • 40 = __________

Answer:

27 • 40 = **1,080**

Explanation:

Perform multiplication operation on above two given numbers. Multiply 27 with 40 the product is 1,080.

Question 3.

422 ÷ 8 = __________

Answer:

422 ÷ 8 = **52.75**

Explanation:

Perform division operation on above two given numbers. Divide 422 by 8 the quotient is 52.75.

Question 4.

What number is 30 more than -16?

Answer:

The number 30 more than -16 is **14**.

Question 5.

Write 90% as a fraction.

Answer:

90% = **90/100 or 9/10**

Explanation:

The given percentage is 90%. We have to convert percentage into fraction form. The fraction is 90/100.

Question 6.

17 – 2^{2} × 5 = __________

Answer:

17 – 2^{2} × 5

= 17 – 4 × 5

= 17 – 20

= **-3**

Explanation:

First perform operation on the square of 2. The square of 2 is 4. Now the expression is 17 – 4 × 5.

Second perform multiplication operation on above expression. Multiply 4 with 5 the product is 20. Now the expression is 17 – 20.

Next perform subtraction operation. Subtract 20 from 17 the difference is -3.

Question 7.

Find k.

k – \(\frac{3}{11}\) = \(\frac{4}{11}\)

k = __________

Answer:

k – \(\frac{3}{11}\) = \(\frac{4}{11}\)

k = 4/11 + 3/11

**k = 7/11**

Explanation:

To calculate k value we need to perform addition operation on above given equation. Add 3/11 to 4/11 the sum is 7/11. The value of k is equal to 7/11.

Question 8.

Find r.

r + \(\frac{1}{4}\) = \(\frac{3}{4}\)

r = _________

Answer:

r + \(\frac{1}{4}\) = \(\frac{3}{4}\)

r = 3/4 – 1/4

r = 2/4

**r = 1/2**

Explanation:

To calculate r value we need to perform subtraction operation on above given equation. Subtract 1/4 from 3/4 the difference is 2/4. The simplified form of 2/4 is 1/2. The value r is equal to 1/2.

Question 9.

Calculate the distance a car can travel in 7 hours at 150 \(\frac{Km}{h}\).

Answer:

In one hour the car can travel a distance of 150 km.

1 hour = 150 km

7 hours = ? Km

(150 km x 7 hours)/1 hour = **1,050 km**

A car can travel 1,050 km in 7 hours.

Question 10.

Circle the regular shapes.

Answer:

Explanation:

The two regular shapes hexagon and pentagon are circled.

Question 11.

Inside a bag of candy are 16 lollipops, 12 pieces of chocolate, and 7 pieces of licorice. If you reach ¡n the bag and grab a piece of candy, what is the probability that it will either be licorice or a lollipop?

Answer:

Total lollipops are 16.

Total piece of chocolates are 12.

Total pieces of licorice are 7.

Total number of candies are 16 + 12 + 7 = 35

Total number of lollipops and a piece of licorice are 23.

16 + 7= 23

The probability of either a lollipop or a piece of chocolate is **23/35**.

Question 12.

A punch recipe calls for twice as much lemonade as lime soda. It calls for half as much ice cream as lime soda. If you use 2 gallons of lime soda, how much lemonade will you need and how much ice cream will you need?

Answer:

2 gallons lime soda

1 gallon icecream

and 4 gallons lemonade