Grade Six Mathematics
Answers to last week’s exercise below using the operation of multiplication:
Hello, boys and girls of Grade 6! Welcome back to our Math corner. How was your first week back at school? I trust that you had an awesome one! In this week’s column, we will be developing some problem-solving skills, by applying mathematical operations to some critical mathematical problems.
Let us begin.
Problem-solving
Objective- For pupils to apply the operations of multiplication and division, to solve worded problems.
Boys and girls, do you know what it means to solve a problem? Yes, that’s correct! It simply means finding a solution/answer to the problem.
Before we begin, can you remember what the four mathematical operations are? Take a few seconds to list them.
Great job, boys and girls! They are addition, subtraction, multiplication, and division. Today, we will be applying the concepts of multiplication and division to solve problems.
Let’s begin with multiplication:
Multiplication
From previous lessons, we have learned that in mathematics, multiplication is a method of finding the product of two or more numbers.
Let us now examine an example of using multiplication to solve a worded mathematical problem:
Example 1
There are 5 rows of seats in a class. Each row has 8 benches. How many students can sit in the class?
In such questions, we take the following steps:
Number of benches in one row= 8
No. of rows = 5
Multiply the number of benches in one row by the number of rows = 8×5 = 40 Total number of seats available for students= 40
Therefore, 40 students can sit in the class!
Yes, it’s that simple!
It’s now your turn to work. Solve the mathematical problems in the exercise
Exercise 1
1. 24 folders each has 56 sheets of paper inside them. How many sheets of paper are there altogether?
2. There are 266 pencils in a packet. How many pencils are there in 22 such packets?
3. The monthly salary of a man is $ 2,625. What is his annual income by salary?
4. A chair costs $ 452 and a table costs $ 1750. What will be the total cost of 15 chairs and 30 tables?
5. A furniture company sent 6 advertisements to each person in town. There are 5,397 people in the town. How many advertisements did the company send in all?
6. There are 60 minutes in an hour. How many minutes are there in a day?
7. In a hall, there are chairs arranged in 59 rows, and in each row, there are 24 chairs. How many chairs are there in the hall?
Excellent work, boys and girls!
Let us now examine how we can solve worded mathematical problems using division.
Division
We have learned from previous lessons that division is a mathematical operation that involves the sharing of an amount into equal parts.
Let us examine an example of using division to solve a worded mathematical problem:
Example:
Marcus had 700 marbles. He gave away 175 marbles and put the remaining marbles equally into 5 bags. How many marbles were there in each bag?
Step 1: Find how many marbles he had left.
700 – 175 = 525
He had 525 marbles left.
Step 2: Find the number of marbles in each box.
To find out such, we divide the number of marbles left by the number of bags. 525 ÷ 5 = 105
Therefore, there were 105 marbles in each bag.
For a better understanding of the concept, review the example once more. When you are finished, complete the exercise below:
Exercise 2
1. One steel-plate weighs 30 gram. If the weight of some plates is 450 grams, find the number of plates.
2. 3. 4. 5.
The salary of a man of six months is $9450. Find his monthly salary.
A fruit-seller bought 6584 apples. He threw 8 rotten apples away and packed the remaining apples equally in 16 baskets. Find the number of apples in each basket.
If a number when multiplied by 9 gives the product 3384, find the number.
25 students of class X collected $2750 for an orphanage. If each student contributed an equal amount to the cause, how much amount of money was contributed by each student?
6. Rosalind made 364 donuts. She put 8 donuts into each box. a) How many boxes of donuts were there? b) How many donuts were left over?
7.
There are some motorbikes in a car park. Jamal counts 10 wheels. How many motorbikes are there?
That’s all for today, boys and girls. Thank you for participating in today’s activities. You have done well! Check back next week, for the solutions to this week’s problems. Have a productive week at school. Bye!