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Concise Guide to Grade 6 Math Workbook 2 Pages 66, 67, 68
1. Solve Math 6 Workbook 2 Pages 66, 67, 68 Exercise 168
Problem Statement:
Fill in the symbol ...
To solve Exercise 168 on page 66 of Math 6 Workbook 2, students need to apply knowledge of integer sets and natural number sets.
2. Solve Grade 6 Math Workbook 2 Pages 66, 67, 68 Exercise 169
Problem Statement:
Fill in the blank:
To solve Exercise 169 on page 66 of Math 6 Workbook 2, students need to use knowledge of multiplying and dividing two powers with the same base.
3. Solve Grade 6 Math Workbook 2 Year-End Review Arithmetic Pages 66, 67, 68 Exercise 170
Problem Statement:
Find the intersection of set C of even numbers and set L of odd numbers.
Answer:
4. Solve Grade 6 Math Workbook 2 Year-End Review Arithmetic Pages 66, 67, 68 Exercise 171
Problem Statement:
Calculate the value of the following expressions:
To solve Exercise 171 on page 67 of Math 6 Workbook 2, students need to convert mixed numbers and decimals to fractions and perform calculations according to the order of operations (parentheses first, multiplication and division before addition and subtraction).
5. Solve Grade 6 Math Workbook 2 Pages 66, 67, 68 Exercise 172
Problem Statement:
When 60 candies are evenly distributed 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 Workbook 2 Pages 66, 67, 68 Exercise 173
Problem Statement:
A canoe travels downstream for 3 hours and upstream for 5 hours, with the water current speed at 3km/h. Find the length of the river section.
Answer:
The downstream speed exceeds the canoe's speed by 3km/h.
The upstream speed is 3km/h less than the canoe's speed.
Therefore, the speed downstream exceeds the speed upstream by 3+3 = 6(km/h).
The ratio of downstream to upstream time is: 3 : 5.
On the same distance, time and speed are inversely proportional, so the ratio of downstream to upstream speed is 5: 3.
7. Solve problem 6 set 2 page 66, 67, 68 exercise 174
Problem:
Comparing two expressions A and B given that:
8. Solve problem for grade 6 set 2 page 67 exercise 175
Problem:
Two water faucets flow into a tank. Knowing that to fill half the tank, faucet A alone takes 4 hours and 30 minutes while faucet B alone only takes 2 hours and 15 minutes. How long will it take for both faucets to fill the tank together?
Answer:
9. Solve problem for grade 6 set 2 page 66, 67, 68 exercise 176
Problem:
Calculate:
10. Solve problem 177 for grade 6 set 2 end-of-year review mathematics section on pages 66, 67, 68
Problem:
Degrees C and degrees F
In our country and many others, temperature is measured in degrees C (abbreviated as Celsius, pronounced as See-en-see-ow-ex)
In the US, UK, and some other countries, temperature is measured in degrees F (abbreviated as Fahrenheit, pronounced as Phe-ran-hai-tow). The formula for converting from degrees C to degrees F is:
F = 9/5 . C + 32 (F and C here represent degrees Fahrenheit and degrees Celsius respectively)
a) Calculate the boiling point of water in degrees F under normal conditions.
b) Establish the formula for converting from degrees F to degrees C, then calculate how many degrees C are equivalent to 500F.
c) At the North Pole, there is a moment when the thermometer reading in degrees C and the thermometer reading in degrees F are the same. Find that number.
Answer:
11. Solve problem 178 on page 68 of Math Grade 6 Workbook 2
Problem:
'The golden ratio'
Ancient Greeks and Ancient Egyptians recognized the concept of 'beautiful' ratios in their constructions. They believed that a beautiful rectangle is a rectangle with a ratio between length and width of 1 : 0.618.
Answer:
a) Let x (m) be the length of the rectangle (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) be 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 equals 1 : 0.618 = 1.62
The ratio between the length and width of the rectangle is:
15.4 : 8 = 1.93 ≠ 1.62
The garden did not meet the golden ratio.
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Above is the section of Grade 6 Math solving practice 2 pages 66, 67, 68, covering end-of-year review in Mathematics. Next, students can review the Mathematics section with details from Grade 6 Math solving practice 2 pages 64, 65 previously solved or preview the content Grade 6 Math solving practice 2 page 73 S to improve Grade 6 Math learning.
