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## 180 Days of Math for Sixth Grade Answers Key Day 134

**Directions: Solve each problem.**

Question 1.

16 + 27 + 34 = _________

Answer: 77

Explanation:

When we add 2 or more addends we get the sum.

16 + 27 + 34 = 77

Question 2.

Multiply 5 and 30.

Answer: 150

Explanation:

When we multiply the factors 5 and 30,

we get the product 150.

Question 3.

Answer:

Quotient = 57

Remainder = 4

Explanation:

Question 4.

Calculate the square root of 49.

Answer: 7

Explanation:

A number which produces a specified quantity when multiplied by itself.

7 x 7 = 49

Question 5.

Round 5.25 to the nearest whole number.

Answer: 5

Explanation:

The integer part to the left of the decimal point is 5,

the fractional part to the right of the decimal point is 25.

If the first digit in the fractional part is less than 5 then we simply remove the fractional part to get the answer.

So, the nearest whole number is 5.

Question 6.

12 – 20 × 5 = __________

Answer: -88

Explanation:

12 – 20 × 5

as per MAS rule (Multiplication, Addition and Subtraction)

= 20 x 5

= 100

12 – 100 = -88

Question 7.

234 + = 299

Answer: 65

Explanation:

234 + = 299

Let the unknown number is x

234 + x = 299

x = 299 – 234

x = 65

234 + 65 = 299

Question 8.

Distribute.

4(x – 21) = ____________

Answer:

4x – 84

Explanation:

4(x – 21)

x is the variable in the given equation

4x – 84

Question 9.

Find the average speed when 200 km are traveled in 4 hours.

Answer:

50KM per Hour

Explanation:

Speed = \(\frac{Distance}{Time}\)

Speed = \(\frac{200}{4}\) = 50KM per Hour

Question 10.

Complete the chart for the shape.

Name the figure. | |

How many surfaces? | |

How many vertices? | |

Does it stack or roll? | |

Is it a plane shape or a solid shape? |

Answer:

Explanation:

Triangular prism is a polyhedron made up of two triangular bases and three rectangular sides.

It has three side faces and two base faces, connected to each other through the edges.

Question 11.

The numbers 20 through 30 were written on individual cards and placed in a bag. If you take one card from the bag, what is the probability that it will be a multiple of 5?

Answer:

\(\frac{3}{11}\)

Explanation:

20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30

20, 25, 30

multiples of 5 are,

\(\frac{3}{11}\) is the probability that it will be a multiple of 5

Question 12.

Which fraction added to \(\frac{8}{15}\) will make 1 whole?

Answer:

\(\frac{8}{11}\)

Explanation:

\(\frac{3}{11}\) + x = 1

x = 1 – \(\frac{3}{11}\)

x = \(\frac{11- 3}{11}\)

x = \(\frac{8}{11}\)