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Detailed solutions and answers for exercises 1, 2, 3, 4 of Grade 4 math problem on page 33 of VBT workbook volume 2, Concentration exercises, exercise 112. Students can refer to these to solve exercises more easily, understand divisibility signs, and fraction exercises.
Solving Grade 4 math problem on page 33 of VBT workbook volume 2, Concentration exercises, exercise 112
1. Solving exercise 1 - Math exercise book for Grade 4 volume 2 page 33
Given:
Fill in the appropriate digits to make:
a) 97 ... divisible by 5 but not by 2.
b) 97 ... divisible by 2 and 5.
c) 97 ... divisible by 2 and 9.
d) 97 ... divisible by 2 and 3 but not by 9.
Method:
Applying divisibility rules for 2; 5; 9; 3:
- Numbers ending in 0, 2, 4, 6, 8 are divisible by 2.
- Numbers ending in 0 or 5 are divisible by 5.
- Numbers ending in 0 are divisible by both 2 and 5.
- Numbers whose sum of digits is divisible by 9 are divisible by 9.
- Numbers whose sum of digits is divisible by 3 are divisible by 3.
Answer
a) 975 is divisible by 5 but not by 2.
b) 970 is divisible by 2 and also by 5.
c) 972 is divisible by 2 and also by 9.
d) 978 is divisible by 2 and also by 3 but not by 9.
2. Solve Problem 2 - Workbook Math Exercises Grade 4 Volume 2 Page 33
Problem:
Fill in the blanks
A flock of chickens has 35 roosters and 51 hens. The total number of chickens in the flock is ....
a) The fraction representing the proportion of roosters in the entire flock is: .....
b) The fraction representing the proportion of hens in the entire flock is: .....
Solving Method
- Find the total number of chickens in the flock.
- The fraction representing the proportion of roosters (or hens) in the entire flock has the numerator as the number of roosters (or hens) and the denominator as the total number of chickens in the flock.
Answer
A poultry farm has 35 roosters and 51 hens. The total number of chickens on the farm is 86.
a) The fraction representing the proportion of roosters in the entire flock is: 35/86
b) The fraction representing the proportion of hens in the entire flock is: 51/86
3. Solve Exercise 3 - Math Workbook Grade 4 Exercise 2 Page 33
Problem Statement:
Circle the fractions equal to 7/9:
14/27; 14/18; 36/28; 35/45
Solution Approach:
Simplify the given fractions to their lowest terms. Fractions equal to 7/9 can be simplified to the simplest form, which is 7/9.
Answer
4. Solve Problem 4 - Math workbook for Grade 4, Exercise 2, page 33
Problem:
Arrange the fractions 35/63; 35/58; 24/54 in descending order:
Solution Method
- Compare the fractions and arrange them in descending order.
- Among fractions with the same numerator, the one with the smaller denominator is larger.
Among two fractions with the same denominator, the fraction with the smaller numerator is smaller.
Answer
5. Solve Exercise 5 - Math Workbook Grade 4 Exercise 2 Page 33
Problem:
Complete the following
a) Measure the length of the base and the height of parallelogram ABCD:
The length of base DC is: .........................
The height AH is: .........................
b) The area of parallelogram ABCD is: ........................
Solution Method
- Use a ruler to measure the length of side DC and the height AH.
- The area of parallelogram equals the length of the base multiplied by the height.
Answers
a) The length of the base and the height of parallelogram ABCD are:
The length of base DC is: 5(cm)
The height AH is: 3(cm)
b) The area of parallelogram ABCD is: 15 (cm2)
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Wishing you all the best in learning math.
