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1. Fifteen litres of mixture contain water and milk in the ratio 2:4 . If 3 litres of this mixture are replaced by 3 litres of water, what would be the ratio of water of milk in the new mixture?


2. A telephone booth 210 cm tall cast a shadow 600 cm long. At the sametime, a nearby fire hydrant cast a shadow 240 cm long. Find the height of the fire hydrant.

3. Musa places a mirror on the ground, 5 cm from the base of a tree, He then walks backwards until he can see top of the tree in the mirror. He is now standing 0.75 m from the mirror. Sam's eyes level is 1.75 m high. Label the diagram. Find the height of the tree


1. Use the whole of a circle, shade the given fraction parts, then arrange the fractions from big to small, the whole must be the same size

Therefore: same numerators

a. 2/3

b.2/4

c. 2/5

d. 2/6

2. Use the whole of rectangle, and shade given fraction from big to small. The whole must be of the same size

Therefore: same denominators, complete the drawing and shade

a. 2/5

b. 3/5

c. 4/5


You have got a number line they start with zero, v, w, end with one

a. What is the whole in this case?

b. Into how many equal parts is this unit (whole) divided?

c. 2/3 of the whole is represented by which letter on the numberline?

d. You have a numberline that start with zero, x, y, z and end with one

Place 1/4, 2/4 and 3/4 on the numberline?



x^2-2x+2 devided by x+2

3(4-3)²

Please give an example of how to answer this


Describe, using examples, how a teacher can use number lines and grids to represent number patterns.


Solve: 10 + 10 × 10 ÷ 10.


it is observed that the number of bacteria present in the portion of the small intestine of an animal grows exponentially, initially there are 10,000 bacteria present. Three hours later, the bacterial growth to 500,000.Assuming no bacteria in the process, how many bacteria will be there be after one day? after how many hour will be bacteria double its number?


Cookies on trays problem (by M Pollino) Exactly 7 cookies fit on each tray for baking. Four-sevenths of a tray is used to make a small box of cookies. If a baker has made 8 trays of cookies, how many boxes can be filled?


In a farm, there initially were 10 rabbits. After three months, there are already 20 rabbits. Assuming that the growth is exponential and no rabbit dies in the process, at what time will there be 100 rabbits?


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