Algebra: Grade Nine Problem
Grade Nine Problems
1)
Elizabeth visits her friend Andrew and then returns home by the same route. She always walks 2km/h when going uphill, 6km/h when going downhill and 3km/h when on level ground. If her total walking time is 6 hours, then what is the total distance she walks in km?
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Answer
2)
Joyce was decorating her store window for a going out of business sale. She wanted to make a figure that looks like the following. The shaded piece is made of a different material. How much material does she need in metres squared?
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Answer
3)
In # 2 Joyce needed to find the material she would need for the shaded region. How much material would she need for the unshaded region in m2?
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Answer
4)
George and Phil were playing with their fish tank again. They had a difficult time keeping their fish alive. The fish tank is 100cm long, 60 cm wide and 40 cm high. They tilted the tank, as shown, resting on a 60 cm edge, with the water level reaching the midpoint of the base. When they rest the tank down to a horizontal position, what is the depth of the water in cm?
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Answer
5)
Alex, Fred and Thomas run at constant rates. In a race of 1,000m, Alex finished 200m ahead of Fred and 400m ahead of Thomas. When Fred finished, how far was he ahead of Thomas? (in m)
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Answer
6)
If ABCD is a square and ABE is an equilateral triangle, then what is the measure of < BFC?
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Answer
7)
An unusual die has six faces labelled 1,2,3,5,7 9. If two of these dice are rolled, and the numbers showing on the upper faces are added, what is the number of possible different sums?
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Answer
8)
The Quinpool family decided to build a pool of the following shape. The sides of their 12 * 9 yard are trisected. What is the perimeter of the shaded pool?
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Answer
9)
A classroom contained an equal number of boys and girls. Eight girls left to play hockey, leaving twice
1)
Elizabeth visits her friend Andrew and then returns home by the same route. She always walks 2km/h when going uphill, 6km/h when going downhill and 3km/h when on level ground. If her total walking time is 6 hours, then what is the total distance she walks in km?
Need A Hint?
Answer
2)
Joyce was decorating her store window for a going out of business sale. She wanted to make a figure that looks like the following. The shaded piece is made of a different material. How much material does she need in metres squared?
Need A Hint?
Answer
3)
In # 2 Joyce needed to find the material she would need for the shaded region. How much material would she need for the unshaded region in m2?
Need A Hint?
Answer
4)
George and Phil were playing with their fish tank again. They had a difficult time keeping their fish alive. The fish tank is 100cm long, 60 cm wide and 40 cm high. They tilted the tank, as shown, resting on a 60 cm edge, with the water level reaching the midpoint of the base. When they rest the tank down to a horizontal position, what is the depth of the water in cm?
Need A Hint?
Answer
5)
Alex, Fred and Thomas run at constant rates. In a race of 1,000m, Alex finished 200m ahead of Fred and 400m ahead of Thomas. When Fred finished, how far was he ahead of Thomas? (in m)
Need A Hint?
Answer
6)
If ABCD is a square and ABE is an equilateral triangle, then what is the measure of < BFC?
Need A Hint?
Answer
7)
An unusual die has six faces labelled 1,2,3,5,7 9. If two of these dice are rolled, and the numbers showing on the upper faces are added, what is the number of possible different sums?
Need A Hint?
Answer
8)
The Quinpool family decided to build a pool of the following shape. The sides of their 12 * 9 yard are trisected. What is the perimeter of the shaded pool?
Need A Hint?
Answer
9)
A classroom contained an equal number of boys and girls. Eight girls left to play hockey, leaving twice