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Solving 5th-grade math on pages 11, 12, 13 of VBT workbook 2, Practice, exercise 96 provides detailed solutions for exercises 1, 2, 3, 4 according to the curriculum. Students can refer to understand how to apply knowledge effectively and grasp the concepts.Solving 5th-grade math on pages 11, 12, 13 of VBT workbook 2, Practice, exercise 96
1. Solving problem 1 - Math workbook for 5th grade exercise 2 page 11
Problem:Fill in the blanks with appropriate measurements:Solution Method:To calculate the circumference of a circle, multiply the radius by 2 and then by 3.14.C = r x 2 x 3.14(C represents the circumference of the circle, r is the radius of the circle).AnswerThe circumference of the circle (1) is:C = r x 2 x 3.14= 18 x 2 x 3.14 = 113.04(cm)The circumference of the circle (2) is:C = 40.4 x 2 x 3.14 = 253.712(dm)The circumference of the circle (3) is:C = 1.5 x 2 x 3.14 = 9.42(m)2. Solve problem 2 - Math workbook for 5th grade exercise 2 page 12
Problem Statement:a. Calculate the diameter of a circle with a circumference of 6.28m.b. Calculate the radius of a circle with a circumference of 188.4cm.Solution Method- From the circumference formula:Diameter (d) is calculated from the circumference (C) using the formula: d = C : 3.14.- From the circumference formula:Circumference (C) is calculated from the radius (r) using the formula: C = r x 2 x 3.14.Radius (r) is calculated from the circumference (C) using the formula: r = C : 3.14 : 2.or r = C : 2 : 3.14 or r = C : (2 x 3.14).Answera) Diameter of the circle is: 6.28/3.14 = 2 (m)b) Diameter of the circle is:188.4 : 3.14 = 60 (cm)The radius of the circle is:30 (cm)3. Solve problem 3 - Math workbook for 5th grade exercise 2 page 12
Problem:
The diameter of a car wheel is 0.8m.
a. Calculate the circumference of the wheel.
b. How many meters will the car travel if the wheel rolls on the ground for 10 rounds; for 200 rounds; for 1000 rounds?
The distance a car travels when its wheels roll on the ground for 10 revolutions (or 200 revolutions; 1000 revolutions) is calculated by multiplying the wheel circumference by 10 (or by 200; by 1000).
Answer
a. The wheel circumference is:
0.8 ⨯ 3.14 = 2.512 (m)
b. The distance a car travels when its wheels roll 10, 200, 1000 revolutions on the ground is:
2.512 ⨯ 10 = 25.12 (m)
2.512 ⨯ 200 = 502.4 (m)
2.512 ⨯ 1000 = 2512 (m)
Answer: a. 2.512m ; b. 25.12m ; 502.4m ; 2512m
4. Solve problem 4 - Math workbook grade 5 unit 2 page 13
Problem:
Find shapes with equal circumferences among the following shapes:
Solution Method
- Calculate the circumferences of the shapes and compare the results.
- Apply the following formulas:
+ Circumference of a square = side x 4.
+ Circumference of a rectangle = (length + width) x 2.
- Circumference of shape C = half the circumference of a circle with a diameter of 10cm + diameter 10cm.
Answer
Circumference of square A is:
11.75 ⨯ 4 = 47 (cm)
Circumference of rectangle B is:
(9 + 14.5) ⨯ 2 = 47 (cm)
Circumference of shape C is:
(10 ⨯ 3.14) : 2 + 10 = 25.7 (cm)
You are currently viewing the guide for solving math problems in grade 5 on pages 11, 12, 13 of Workbook 2. Exercise 96. You can review the instructions for solving math problems on page 11 of Workbook 2 - Circumference of a circle or preview the instructions for solving math problems on pages 13, 14 of Workbook 2 - Area of a circle to better understand the lesson.
Wishing you all success in your math studies.
