Hua Cup Practice Exam 3 - Word Problem Worksheet printable pdf download

Hua Cup Practice Exam 3 - Word Problem Worksheet

Hua Cup Practice Exam #3

Submit Your Answers To

By the designed date on your schedule

Time Limit: 60 minutes

1. Given that 2.45 × 1.09 + 0.245 × 9.1 − 0.245 × 10.9 − 0.0245 × 91 + 0.00245 × 1090 +

Part I: 15 problems; 5 points each.

0.000245 × 9100 = ��. Find 100��.

2. Figure 1-1 below is formed by combining two squares. The side lengths of the two squares are ��

centimeters and �� centimeters, and �� forms a straight line. Given that both �� and �� are two-

digits integers, and ��

= 2��, if the area of triangle �� is ��, find the maximum value of ��.

Figure 1-1

3. There are 2046 residents in this one town where everyone loves to help people. One day, one

resident told two of his friends a slogan of a charity organization and asked each of them to

spread the slogan to two other residents who didn’t already know the slogan. These two friends

then each spread the slogan to two other residents in less than 1 minute, and every resident who

received the slogan spread the same slogan to two other residents who didn’t already know it in

less than 1 minute. This process repeated until every resident in the town knew the slogan.

What’s the maximum number of minutes needed to let every resident in this town to learn the

4. Given that �� is a 2-digits prime number smaller than 50, and 2�� + 1 is also a prime. If the sum of

slogan?

all ��’s is ��, find ��.

��

, find the value of �� (let �� =

��

5. Picture 1-2 shows four identical circles of radius 2 cm inscribed in a square. Given that the area

of the shaded region is

Hua Cup Practice Exam 3 - Word Problem Worksheet