Hua Cup Practice Exam 3 - Word Problem Worksheet (Page 2 of 3) in pdf

Hua Cup Practice Exam 3 - Word Problem Worksheet Page 2

6. Jack uses �� sticks and �� pieces of slimes to make a regular polyhedron. All faces of this

Figure 1-2

rectangles. Find the value of ��.

polyhedron are triangles. The number of sticks used by Jack is same as the number of edges

required to form a symmetrical polyhedron that has 14 faces, and all side faces of it are

7. On a road, there is a trash station every 50 kilometers, and there are a total of 5 trash stations. As

figure 1-3 shows, the trash stations are in a straight line: station A has 10 tons of trash, B, C, D, E

has 20, 0, 0 and 35 tons of trash, respectively. Given that it takes 40 dollars to transfer one ton of

trash for 5 kilometers. If we want to transfer all trash into only one station, which station should

we move all the trash into such that we spend the least amount of money? How much money is

required?

Station A:

Station B:

Station C:

Station D:

Station E:

10 tons

20 tons

0 tons

35 tons

Figure 1-3

8. In town there are 2476 residents. Every resident knows how to speak either regular mandarin or

GuangDong mandarin, or both. According to a survey, 1765 residents know how to speak

regular mandarin, and 987 residents know how to speak GuangDong mandarin. How many

9. There are �� pieces of candy. If they are distributed to 9 kids, then 8 candies remain. If they are

residents know how to speak both regular mandarin and GuangDong mandarin?

candies remain. Find the smallest possible value of ��.

distributed to 11 kids, then we are short of 1 candy. If they are distributed to 3 kids, then 2

10. Figure 1-4 shows a 250 cm by 120 cm rectangle. Given that this rectangle can be divided into ��

squares, find the smallest possible value of ��.

250 cm

120 cm

Figure 1-4

11. A massage instrument company wishes to increase selling by making the following discounts:

Hua Cup Practice Exam 3 - Word Problem Worksheet Page 2