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Solving 7th-grade math problems on pages 30 and 31 of Cánh Diều Volume 1 textbook provides guidance on solving exercises 1 through 10 of Chapter 1 Review Exercises. Students can refer to this for easier completion of exercises, ensuring a solid grasp of Chapter 1 concepts.
For additional solving resources, consider the following:
- Complete set of Cánh Diều 7th-grade Math Solutions
- Solving 7th-grade math problems on page 24 of Knowledge Connection Volume 1 textbook - Focused practice on page 24
- Solving 7th-grade math problems on pages 33 and 34 of Creative Horizon Volume 1 textbook - Exercise 1: Irrational Numbers. Studying square roots of numbers.
Solving 7th-grade math problems on pages 30 and 31 of Cánh Diều Volume 1 textbook
End-of-Chapter Exercise I
1. Solve Exercise 1 Page 30 Mathematics Textbook Grade 7
b) Among the points A, B, C on the number line below, one point represents the rational number 0.5. Determine that point:
Solution Guide:
a) Compare the numbers and arrange them in ascending order.
b) Determine the position of the point 0.5 on the number line and draw a conclusion.
Answer:
b) The number 0.5 lies between 0 and 1. Therefore, point B represents the rational number 0.5.
2. Solve Exercise 2 Page 30 Mathematics Textbook Grade 7
Problem: Calculate:
Solution Guide:
+ Write the mixed numbers, rational numbers in the form of fractions, then perform arithmetic operations with fractions.
+ Perform division of 2 exponents with the same base.
Answer:
3. Solve Exercise 3 Page 30 Mathematics Textbook Grade 7
Problem: Calculate reasonably.
Solution Guide:
a) Group fractions together, decimals together, then perform arithmetic operations.
b) Apply the distributive property of multiplication over subtraction: a.b - a.c = a.(b - c).
Answer:
4. Solve Exercise 4 Page 30 Mathematics Textbook Grade 7
Problem: Calculate.
Solution Guide:
Perform the operations in the following order:
+ Parentheses: ( ) => [ ]
+ Operations: Exponents => Multiplication, division => Addition, subtraction.
Answer:
a)
b)
c)
d)
5. Solve Exercise 5 Page 30 Mathematics Textbook Grade 7
Problem: Find x, given:
Solution Guide:
+ Apply the rule of transposing terms and changing signs.
+ To find the factor, divide the quotient by the remaining factor.
+ To find the dividend, multiply the quotient by the divisor.
Answer:
a)
b)
c)
d)
6. Solve Exercise 6 Page 30 Mathematics Textbook Grade 7
Problem: Arrange the following numbers in ascending order.
Solution Guide: Calculate the exponents and then arrange them in ascending order.
Answer:
7. Solve Exercise 7 Page 30 Mathematics Textbook Grade 7
Problem: The weight of an object on the Moon is about 1/6 of its weight on Earth. Knowing that the weight of an object on Earth is calculated by the formula: P = 10m where P is the weight of the object measured in Newtons (symbol N); m is the mass of the object measured in kilograms.
(Source: Natural Science 6, Publishing House of Pedagogy University, 2021)
If an astronaut on Earth has a mass of 75.5 kg, what will be their weight in Newtons on the Moon (round the result to the nearest hundredth)?
Solution Guide:
- The weight of the astronaut on the Moon = The weight of the astronaut on Earth × 1/6.
- Convert the unit of weight to Newtons.
8. Solve Exercise 8 Page 31 Mathematics Textbook Grade 7
Problem: A person travels from point A to point B at a speed of 30 km/h and takes 3.5 hours. Returning from point B to point A, the person travels at a speed of 36 km/h. Calculate the time taken for the return journey from point B to point A.
Solution Guide:
+ Calculate the distance AB using the formula: Distance = speed × time.
+ The time taken for the person to travel from point B to point A = distance : speed.
Answer:
The length of distance AB in kilometers is:
30.3.5 = 105 (km)
The time the person takes to travel from point B to point A is:
9. Solve Exercise 9 Page 31 Mathematics Textbook Grade 7
Problem: A middle school has classes 7A, 7B, 7C, 7D, 7E; each class has 40 students. After the first semester, the number of students at the Good level in each class is represented in a column chart in Figure 5.
a) Which class has fewer than one-fourth of the students at the Good level compared to the total number of students in the class?
b) Which class has more than one-third of the students at the Good level compared to the total number of students in the class?
c) Which class has the highest and lowest proportion of students at the Good level?
Solution Guide:
- Calculate one-third and one-fourth of the total number of students in the class. Observe the data on the chart and answer the questions.
- Observe the chart and answer the questions.
Answer:
c) Class 7D has the highest proportion of students at the Good level.
Class 7E has the lowest proportion of students at the Good level.
10. Solve Exercise 10 Page 31 Mathematics Textbook Grade 7
Problem: The export volume of tea and pepper of Vietnam over several years is represented in the double-column chart in Figure 6.
a) In which years was the export volume of tea over 1 million tons? The export volume of pepper over 0.2 million tons?
b) In which year did Vietnam have the highest export volume of tea? The highest export volume of pepper?
c) Calculate the percentage ratio of the export volume of tea in 2013 to the export volume of tea in 2018.
Solution Guide:
- Observe the chart and answer the questions.
b) The percentage ratio of the export volume of tea in 2013 to the export volume of tea in 2018 is calculated as follows: export volume of tea in 2013 : export volume of tea in 2018 x 100.
Answer:
a) In 2015 and 2016, the export volume of tea exceeded 1 million tons. In 2016, 2017, and 2018, the export volume of pepper exceeded 0.2 million tons.
- Observe the chart and answer the questions.
b) In 2016, Vietnam had the highest export volume of tea. In 2018, Vietnam had the highest export volume of pepper.
Answer:
c) The percentage ratio of the export volume of tea in 2013 to the export volume of tea in 2018 is:
936.3 : 994.2. 100 = 94.18%
Here is the solution document for solving Math exercises in grade 7 on pages 30 and 31 of the first volume of the Kite book, which is very helpful. We hope you refer to it to perform the exercises effectively.
Reference exercises:
- Solving math problems in grade 7 on page 35 of the first volume of the Kite book - Exercise 1. Irrational numbers. Square root of a number.
- Solving math problems in grade 7 on page 42 of the first volume of the Kite book - Exercise 2. Set R of real numbers
