# Algebra: Grade Nine Problem

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 as many boys as girls in the classsroom. What was the original number of students present? Need A Hint?

Answer

10)

Flora had an average of 56% on her first 7 exams. What would she have to make on her eighth exam to obtain an average of 60% on 8 exams? Need A Hint?

Answer

11)

I have a broken fan belt on my car. The belt goes around 2 pulleys, whose centers are 15cm apart and each pulley is 4 cm in diameter. How long should the belt be? Need A Hint?

Answer

12)

Coming out of the grocery store, Ebree has eight coins, of which none is a half-dollar, that add up to $1.45. Unfortunately, on the way home she loses one of them. If the chances of losing a quarter, dime or nickel are equal, which coin is most probably lost? Need A Hint?

Answer

13)

Joe gives Nick and Tom as many peanuts as each already has. Then Nick gives Joe and Tom as many peanuts as each of them then has. Finally, Tom gives Nick and Joe as many peanuts as each has. If at the end each has sixteen peanuts, how many peanuts did each have at the beginning? Need A Hint?

Answer

14)

After a Math test, each of the twenty-five students in the class got a peek at the teacher's grade sheet. Each student noticed five A's. No student saw all the grades and no student saw his or her own grade. What is the minimum number of students who scored A on the test? Need A Hint?

Answer

15)

Bart Simpson goes to the corner store and buys an equal number of 35 cent and 30 cent candies for $22.75 (that's a lot of candy!!) How many candies did he buy? Need A Hint?

Answer

16)

The Band Committee of 100 people wishes to set up a telephone call system. The initial contact person calls three other people, each of whom call three others and so on, until all the people in the Band Committee have been contacted. What is the maximum number of people they need to make the calls. Need A Hint?

Answer

17)

Students in an elementary class decided to spend D dollars for a present for their favourite teacher, Mrs....

Please join StudyMode to read the full document