## 1. What is the area of a rectangle with a length of 10 units and a width of 5 units?

### Answer:

### Explanation:

Area of a rectangle = length × width = 10 × 5 = 50 square units.

## 2. The formula for the area of a triangle is:

### Answer:

### Explanation:

The area of a triangle is given by half the product of its base and height.

## 3. The volume of a cube with a side of 3 units is:

### Answer:

### Explanation:

Volume of a cube = side^3 = 3^3 = 27 cubic units.

## 4. The perimeter of a square with a side of 4 units is:

### Answer:

### Explanation:

Perimeter of a square = 4 × side = 4 × 4 = 16 units.

## 5. The area of a circle with a radius of 7 units (π = 22/7) is:

### Answer:

### Explanation:

Area of a circle = π × r^2 = 22/7 × 7^2 = 154 square units.

## 6. Which of the following shapes has the largest perimeter?

### Answer:

### Explanation:

The perimeter (circumference) of the circle is greater than the perimeters of the square, rectangle, and triangle given.

## 7. The volume of a cylinder with radius 2 units and height 5 units (π = 22/7) is:

### Answer:

### Explanation:

Volume of a cylinder = π × r^2 × h = 22/7 × 2^2 × 5 = 62.86 cubic units.

## 8. The area of a trapezium is calculated using:

### Answer:

### Explanation:

The area of a trapezium is ½ times the product of the average of its parallel sides and height.

## 9. Which of the following is a 2D shape?

### Answer:

### Explanation:

A rectangle is flat and has only length and width, making it a two-dimensional shape.

## 10. The perimeter of a semicircle with radius 7 units (π = 22/7) is:

### Answer:

### Explanation:

Perimeter of a semicircle = πr + 2r = (22/7 × 7) + 14 = 29 units.

## 11. The diagonal of a rectangle divides it into:

### Answer:

### Explanation:

The diagonal of a rectangle divides it into two congruent right triangles.

## 12. If the side of a square is doubled, its area becomes:

### Answer:

### Explanation:

If side = s, Area = s^2. If side is doubled, new side = 2s, New Area = (2s)^2 = 4s^2.

## 13. The volume of a cuboid is given by:

### Answer:

### Explanation:

The volume of a cuboid is the product of its length, breadth, and height.

## 14. The total surface area of a cylinder includes:

### Answer:

### Explanation:

The total surface area of a cylinder includes two circular bases and one curved surface.

## 15. If the radius of a circle is halved, its area becomes:

### Answer:

### Explanation:

Area is proportional to the square of the radius.

## 16. The perimeter of a rhombus is given by:

### Answer:

### Explanation:

The perimeter of a rhombus is four times its side.

## 17. The area of a parallelogram is:

### Answer:

### Explanation:

The area of a parallelogram is the product of its base and height.

## 18. The volume of a sphere with radius r is:

### Answer:

### Explanation:

The volume of a sphere is given by (4/3)πr^3.

## 19. The area of an equilateral triangle with side 'a' is:

### Answer:

### Explanation:

The area of an equilateral triangle is given by √3/4 times the square of its side.

## 20. The volume of a cone with radius r and height h (π = 22/7) is:

### Answer:

### Explanation:

The volume of a cone is given by one-third the product of the base area (πr^2) and its height.