Exercise 2.1
Write four more numbers in the following pattern:
Solution:
Exercise - 1
Compute and express the result as a mixed fraction:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
2. Arrange the following in ascending order.
(i)
Ascending Order
(ii)
Ascending Order
3. Check if the following is a magic square where the sum of numbers in each row, column, and diagonal is the same:
Sol:
Let's check each row, column, and diagonal:
Rows:
R1:
R2:
R3:
Columns:
C1:
C2:
C3:
Diagonals:
D1:
D2:
Therefore, the sum of numbers in each row, column, and diagonal is equal to
Hence, this is a magic square.
**{.m-red}4. Find the perimeter of a rectangular sheet of paper with length 5 2/3 cm and width 3 1/5 cm.__
Sol:
Let's first convert mixed numbers to improper fractions:
Length =
Width =
Perimeter = 2(length + width)
Therefore, the perimeter of the rectangular sheet is 17 11/15 cm.
5. The recipe requires 3 1/7 cups of flour. Radha has 1 3/8 cups of flour. How many more cups of flour does she need?
Sol:
Let's first convert mixed numbers to improper fractions:
Required flour =
Radha has =
More flour needed = Required flour - Available flour
Therefore, Radha needs 1 43/56 more cups of flour.
6. Abdul is preparing for his final exam. He has completed 5/12 part of his course content. Find out how much course content is left?
Sol:
Let's first convert to fraction:
Completed part =
Remaining part = 1 - Completed part
Therefore, 7/12 part of the course content is left.
7. Find the perimeters of (i) ΔABE (ii) the rectangle BCDE in the figure. Which figure has greater perimeter and by how much?
Sol:
Let's first convert mixed numbers to improper fractions:
(i) For ΔABE:
First side =
Second side =
Third side =
Perimeter of ΔABE = Sum of all sides
(ii) For rectangle BCDE:
Length =
Width =
Perimeter of rectangle = 2(length + width)
Difference in perimeter = Perimeter of ΔABE - Perimeter of rectangle BCDE
Therefore, the rectangle BCDE has a greater perimeter by 22/15 cm.