Buzz
All exercises 1, 2, 3, 4, 5, 6 of the lesson Final Exercise of Chapter 5 in Math 7 Volume 1 will be guided by Mytour in the document Solving Math exercises for Grade 7 on pages 109 and 110 of Volume 1 of the Creative Horizon Math book. Students are encouraged to refer to this for comparing solutions and understanding how to solve the exercises.
Referencing various good Math 7 study materials:
- Complete set of Solutions for Grade 7 Creative Horizon Math book
- Solving Math exercises for Grade 7 on page 73 of Volume 1 of the Knowledge Connection - Lesson 14: Cases of Second and Third Equal Triangles
- Solving Math exercises for Grade 7 on page 108 of Volume 1 of the Kite book - Review exercises Chapter 4
Solving exercises on pages 100 and 101 of Textbook Volume 1, Creative Horizon series
Final Exercise of Chapter 5
1. Solve Exercise 1 Page 109 Math Textbook Grade 7
The following table represents data on the expenses of Lan's family. Classify the data based on qualitative and quantitative criteria.
Solution Guide:
Numeric data represents quantitative information.
Non-numeric data represents qualitative information.
Answer:
Qualitative Data:
Target Categories: Essential expenses; financial expenses; personal expenses.
Detailed Breakdown: Food, accommodation, transportation, utility bills; Debt repayment, savings, emergency funds; Travel, entertainment, shopping.
Quantitative Data: Percentage breakdown: 50%, 20%, 30%.
2. Solve Exercise 2 Page 109 Math Textbook Grade 7
Problem: Statistics of Math test scores for 10 top Math students in class 7B yielded the following data: 8; 8; 8; 8.5; 9; 9; 9; 9.5; 10; 10.
Does the data above represent the Math test results of class 7B?
Solution Guide:
The data is representative for the issue when it adequately reflects the data of the objects.
Answer:
The above data does not represent the Math test results of class 7B because it lacks data for non-top Math students.
3. Solve Exercise 3 Page 110 Math Textbook Grade 7
Problem: The proportion of rice exports from Vietnam in 2020 is given in the following data table. Represent the information from the given data table in the graph below.
Solution Guide:
+ Determine and fill in the corresponding percentage ratios for each pie chart segment
+ Color the representation of the object in the legend.
Answer:
4. Solve Exercise 4 Page 110 Math Textbook Grade 7
Problem: Corporation X has 6 companies A, B, C, D, E, F. In 2020, the revenue ratio of each company to the total revenue of the corporation is represented in the chart below:
Based on the information collected from the chart above, answer the following questions:
a) If the revenue of company D is 650 billion VND, what is the revenue of company B?
b) How much higher is the contribution ratio of company F compared to company D in percentage?
Solution Guide:
Determine the percentage contribution of revenue for each company
a) Step 1: Calculate the total revenue of the entire corporation:
Find a knowing m% of a is b, we have: a = b x 100 : m.
Step 2: Find the revenue of company B:
Find n % of a, we have: a. n : 100.
b) Calculate the difference between two percentage ratios.
Answer:
Companies A, B, C, D, E, F respectively contribute to the corporation: 22%; 26%; 12%; 10%; 14%; 16% of the total corporation revenue.
a) The total revenue of the entire corporation is:
650. 100 : 10 = 6500 (billion VND)
Revenue of company B is:
6500.26 : 100 = 1690 (billion VND)
b) The contribution ratio of company F is higher than company D by:
16% - 10% = 6% (total corporation revenue).
5. Solve Exercise 5 Page 110 Math Textbook Grade 7
Problem: The following data table shows the number of bread rolls sold at the Kim Dong school cafeteria on each day of the past week. Draw a line segment graph representing this data table.
Solution Guide:
Method to draw a line segment graph:
Step 1: Draw two perpendicular horizontal and vertical axes.
- Horizontal axis: Label the time intervals.
- Vertical axis: Choose appropriate intervals for the data and label the numbers at the tick marks.
Step 2:
- At each time interval on the horizontal axis, mark a point a vertical distance equal to the data at that time interval, corresponding to the vertical axis interval.
- Draw line segments connecting each pair of corresponding points for consecutive time intervals, resulting in a polyline representing the data change over time.
Step 3: Finalize the graph:
- Label the graph.
- Note the numerical values at the endpoints of the line segments.
- Label units on both axes.
Answer:
6. Solve Exercise 6 Page 110 Math Textbook Grade 7
Problem: Analyze the line segment graph below to answer the questions.
a) What is the time unit?
b) Which year has the highest rice export volume?
c) Which year has the lowest rice export volume?
d) When does the rice export volume increase?
e) When does the rice export volume decrease?
Solution Guide:
Observe the polyline from left to right.
Read the data recorded on the marked points.
Answer:
a) The time unit is: Year.
b) The year 2012 has the highest rice export volume.
c) The year 2007 has the lowest rice export volume.
d) Rice export volume increased during the periods from 2007 - 2008; 2008 - 2009; 2009 - 2010; 2010 - 2011; 2011 - 2012; 2014 - 2015.
e) Rice export volume decreased during the periods from 2006 - 2007; 2002 - 2013; 2013 - 2014; 2015 - 2016.
Here is the guidance for solving math problems for grade 7, pages 109 and 110, volume 1. Students should refer to solving math problems for grade 7, page 10, volume 2, and review solving math problems for grade 7, pages 100 and 101, volume 1, to ensure understanding of the material.
- Solving Math Problems for Grade 7, page 10, volume 2 of the Creative Horizon series - Problem 1: Proportional Ratio - Equal Ratio Series
- Solving Math Problems for Grade 7, pages 14, 15, volume 2 of the Creative Horizon series - Problem 2: Proportional Quantities
