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Short Guide to Solve Grade 6 Math Exercise 2 Pages 66, 67, 68
1. Solve math problem from Grade 6 Workbook 2 Pages 66, 67, 68, Exercise 168
Problem Statement:
Fill in the symbol ...
To solve Exercise 168 on page 66 of Grade 6 Math Workbook 2, students need to apply their knowledge of integer sets and natural number sets.
2. Solve Grade 6 Math Exercise 2 Pages 66, 67, 68, Exercise 169
Problem Statement:
Fill in the blanks:
To solve Exercise 169 on page 66 of Grade 6 Math Workbook 2, students need to use their knowledge of multiplying and dividing two powers with the same base.
3. Solve Grade 6 Math Exercise 2 Year-End Review on Arithmetic Pages 66, 67, 68, Exercise 170
Problem Statement:
Find the intersection of set C (even numbers) and set L (odd numbers).
Answer:
4. Solve Grade 6 Math Exercise 2 Year-End Review on Arithmetic Pages 66, 67, 68, Exercise 171
Problem Statement:
Calculate the values of the following expressions:
To solve Exercise 171 on page 67 of Grade 6 Math Workbook 2, students need to convert mixed numbers and decimals to fractions and perform calculations following the order of operations: parentheses first, multiplication and division before addition and subtraction.
5. Solve Grade 6 Math Exercise 2 Pages 66, 67, 68, Exercise 172
Problem Statement:
When 60 candies are divided equally among all students in class 6C, there are 13 candies left over. How many students are in class 6C?
Answer:
6. Solve Grade 6 Math Exercise 2 Pages 66, 67, 68, Exercise 173
Problem Statement:
The ratio of downstream to upstream time is: 3 : 5.
On the same distance, time and speed are inversely proportional, hence the ratio of downstream to upstream speed is 5 : 3.
7. Solve problem 6 set 2 page 66, 67, 68 exercise 174
Problem statement:
Comparing two expressions A and B knowing that:
8. Solve problem 6 grade 2 page 67 exercise 175
Problem statement:
Two water faucets flow into a tank. It is known that to fill half of the tank, faucet A alone takes 4 hours 30 minutes while faucet B alone takes only 2 hours 15 minutes. If both faucets flow into the tank together, how long will it take to fill the tank completely?
Answer:
9. Solve problem 6 grade 2 page 66, 67, 68 exercise 176
Problem statement:
Calculate:
10. Solve problem 177 math grade 6 workbook review end of year arithmetic part page 66, 67, 68
Problem statement:
Degrees C and degrees F
In our country and many other countries, temperature is measured in degrees C (the first letter of Celsius, pronounced as See-sell-see)
In the UK, USA, and some other countries, temperature is measured in degrees F (the first letter of Fahrenheit, pronounced as Fair-en-hite). The formula to convert from degrees C to degrees F is:
F = 9/5 . C + 32 (where F and C are the corresponding degrees in Fahrenheit and Celsius)
a) Calculate under normal conditions at what temperature does water boil in degrees F?
b) Establish the formula to convert from degrees F to degrees C, then calculate what is 500F equivalent to in degrees C?
c) At the North Pole, there is a moment when the thermometer reading in degrees C and the thermometer reading in degrees F both show the same number. Find that number.
Ancient Greeks and Egyptians were keenly aware of the aesthetic ratios in their architectural endeavors. They believed that an aesthetically pleasing rectangle is one with a ratio between its length and width of 1:0.618.
Response:
a) Let x (m) represent the length of the rectangular shape (x > 0).
To achieve the golden ratio:
x : 3.09 = 1 : 0.618 => x = 3.09 : 0.618 = 5(m)
So, the length of the rectangle is 5m.
b) Let y (m) denote the width of the rectangle (y > 0).
To achieve the golden ratio:
4.5 : y = 1 : 0.618 => y = 0.618 : 4.5 = 2.78(m)
So, the width of the rectangle is 2.78(m).
c) We have the golden ratio equal to 1:0.618 = 1.62.
The ratio between the length and width of the rectangle is:
15.4 : 8 = 1.93 ≠ 1.62
So, the garden does not achieve the golden ratio.
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Above is the Math solving part for Grade 6, Exercise 2, page 66, 67, 68, the end-of-year review in Mathematics. Next, students can review the Mathematics section with detailed solutions from Grade 6 Math Exercise 2, pages 64, 65 previously solved or preview the content Grade 6 Math Exercise 2, page 73 S to improve their Grade 6 Mathematics skills.
