High School

15. Write the fraction for:

a) 2 shaded parts out of 4
b) 1 shaded part out of 3

16. Find the perimeter of a square with side 6 cm.

17. This is the number of books read by students in a week:

| Student | Books |
|---|---|
| Ayesha | 3 |
| Rohan | 5 |
| Meena | 2 |

a) Who read the most books?
b) How many books were read in total?

18. Add the following numbers:

a) 123 + 234 = ______
b) 56 + 78 = ______
c) 189 + 111 = ______

19. Solve the following:

a) 8 x 3 = ______
b) 5 x 2 = ______
c) 9 x 4 = ______
d) 6 x 7 = ______

20. Fill in the blanks:

a) A shape with no corners and no sides is called a ______
b) A shape with 4 equal sides is called a ______
c) A shape with 3 corners and 3 sides is called a ______

21. Find the area of a rectangle:
Length = 8 cm, Breadth = 3 cm

22. Solve the following:

a) What is the place value of 7 in 72?
b) What is the place value of 5 in 54?
c) What is the place value of 9 in 91?
d) What is the place value of 3 in 38?

Answer :

Let's tackle these problems step by step:

15. Write the fraction for:

a) For 2 shaded parts out of 4 total parts, the fraction is [tex]\frac{2}{4}[/tex]. This fraction can be simplified to [tex]\frac{1}{2}[/tex].

b) For 1 shaded part out of 3 total parts, the fraction is [tex]\frac{1}{3}[/tex].

16. Find the perimeter of a square with side 6 cm.

The perimeter of a square is calculated by adding up all its sides. Since all sides of a square are equal, you multiply the length of one side by 4.

[tex]\text{Perimeter} = 4 \times \text{side} = 4 \times 6 = 24 \text{ cm}[/tex]

17. This is the number of books read by students in a week:

  • a) Rohan read the most books, with a total of 5 books.

  • b) To find the total number of books read, add the books read by all students:

[tex]3 + 5 + 2 = 10 \text{ books}[/tex]

18. Add the following numbers:

a) [tex]123 + 234 = 357[/tex]

b) [tex]56 + 78 = 134[/tex]

c) [tex]189 + 111 = 300[/tex]

19. Solve the following:

a) [tex]8 \times 3 = 24[/tex]

b) [tex]5 \times 2 = 10[/tex]

c) [tex]9 \times 4 = 36[/tex]

d) [tex]6 \times 7 = 42[/tex]

20. Fill in the blanks:

a) A shape with no corners and no sides is called a circle.

b) A shape with 4 equal sides is called a square.

c) A shape with 3 corners and 3 sides is called a triangle.

21. Find the area of a rectangle:

The area of a rectangle is calculated by multiplying its length and breadth:

[tex]\text{Area} = \text{Length} \times \text{Breadth} = 8 \times 3 = 24 \text{ cm}^2[/tex]

22. Solve the following:

a) The place value of 7 in 72 is the tens place, so it is [tex]70[/tex].

b) The place value of 5 in 54 is the tens place, so it is [tex]50[/tex].

c) The place value of 9 in 91 is the tens place, so it is [tex]90[/tex].

d) The place value of 3 in 38 is the tens place, so it is [tex]30[/tex].

I hope these explanations help you understand each concept better! Feel free to ask if you have any more questions or need further clarification.