Calculate the distance covered by a train traveling at 4 km/hr from 9:30 am to 12:00 noon. List three properties each of a rectangle and a square. Calculate the total weight of 115.2 kg of maize, 242

The train starts at 9:30 am and travels until 12:00 noon.
Time duration = 12:00 noon - 9:30 am = 2 hours 30 minutes.

Given speed = 4 km/hr.
Distance = Speed $\times$ Time

The distance covered by the train is $\boxed{\text{10 km}}$.

1.b)
Three properties of a rectangle:

• Opposite sides are equal in length and parallel.
• All four interior angles are right angles ($90^\circ$).
• The diagonals bisect each other and are equal in length.

Three properties of a square:

• All four sides are equal in length.
• All four interior angles are right angles ($90^\circ$).
• Opposite sides are parallel.

2.a)

Maize: 115.2 kg
Beans: 242 kg
Rice: 142000 g

Total weight = Weight of maize + Weight of beans + Weight of rice

The total weight is $\boxed{\text{499.2 kg}}$.

2.b)

There are 60 seconds in 1 minute.

There are 60 minutes in 1 hour.

Therefore, 60 seconds is equal to $\boxed{\frac{1}{60} \text{ hour}}$.

3.a)

Given volume 1: 2 litres

Given volume 2: 800 cm³

Total volume = 2000 cm³ + 800 cm³ = 2800 cm³

Volume per trader = $\frac{\text{Total volume}}{\text{Number of traders}}$

Each trader receives $\boxed{\text{400 cm}^3}$.

3.b)
Three properties of a cube:

• It has 6 faces, and all faces are squares of equal size.
• It has 12 edges, and all edges are of equal length.
• It has 8 vertices (corners).

4.

Length = 80 m
Width = 30 cm

Depth = 8 m

The pool is a cuboid, so its volume is given by Length $\times$ Width $\times$ Depth.

The volume of the water in the pool is $\boxed{\text{192 m}^3}$.

5.a)

Length = $8\frac{1}{2}$ m = 8.5 m
Width = $3\frac{1}{2}$ m = 3.5 m
Area of rectangle = Length $\times$ Width

Base = 16 cm
Height = 18 cm
Area of triangle = $\frac{1}{2} \times \text{Base} \times \text{Height}$

The area of the rectangle is $\boxed{\text{29.75 m}^2}$ and the area of the triangle is $\boxed{\text{144 cm}^2}$.

5.b)

The least common multiple (LCM) is 12.

The simplified expression is $\boxed{5\frac{7}{12}}$.