## Motion Problem Exercise 1

Solve the following motion problems.

1.) A plane is traveling at a rate of 400 kilometers per hour. How many kilometers can it travel in 4.5 hours?

2.) Lance’s house is 3 kilometers away from his school. He goes to school every day using a bicycle. If it takes him 15 minutes to go to school using his bicycle, what is his average speed in km/hr?

3.) The distance between Alma’s house and her office is 8 km. If she leaves her house at 7:00 am and drives her car to the office at an average rate of 40 km per hour, what time will she reach the office?

## Work Problem Exercise

Solve the following.

1) Manny can do a job in 8 days. What part of the job is finished after he worked for 4 days?

2.) Josie can do a job in 7 days. Danna can do the same job in 12 days. If they both worked for 1 day, what part of the job is finished?

3.) Daniel can paint a house in 8 days. Vic can do the same job in 10 days. If they both worked for 2 days, what part of the job is done?

4.) One hose can fill a pool in 4 hours and a smaller hose can fill the same pool in 6 hours. How long will it take the two hoses to fill the entire pool?

5.) Lucian can dig a ditch in 6 hours. Lucian and Michael can do it in 3 hours. How long would it take Jun to dig the same ditch alone?

1.) $\frac{1}{2}$
2.) $1\frac{9}{84}$
3.) $\frac{9}{20}$
4.) 2 hrs and 24 minutes
5.) 6 hrs

## Paragraph Organization Practice Test

Direction: The sentences below when properly arranged would make a well-developed paragraph. Arrange the sentences in such a way that the paragraph becomes a meaningful ordering of the sentences. Answer the questions that follow.

ITEMS # 1-4

A.) Because of that, he came into conflict with the Catholic Church, and he was eventually put on trial.
B.) This is essentially the view that the earth goes around the sun rather than vice versa.
C.) On that basis, he defended a view known as heliocentrism.
D.) Now this was in opposition to the prevailing view advocated by the Church, the geocentric view, the belief that the sun orbits the earth.
E.) Galileo uses the telescope, a new and imperfect technology at that time to make observations about the heavens.

1.) What should be the proper order of the sentences?
A.) D-C-B-A-E
B.) B-E-A-C-D
C.) C-D-A-B-E
D.) E-C-B-D-A

2.) Which should be the fourth sentence?
A.) Sentence A
B.) Sentence B
C.) Sentence C
D.) Sentence D

3.) Which should be the first sentence?
A.) Sentence E
B.) Sentence A
C.) Sentence B
D.) Sentence C

## Conversion Practice Exercises

Convert the following to its decimal, fraction or percent form.

1.) Convert 5/8 to decimal.

2.) Convert 20% to fraction.

3.) Convert 0.255 to percent.

4.) Convert 1/4 to decimals.

5.) Convert .05 to fraction.

## GCD Practice Exercises with Solutions on Youtube

Find the GCD/GCF of the following numbers.

1. 12, 18
2. 14, 35
3. 20,28
4. 25, 30, 40
5. 7, 12
6. 48, 72
7. 42, 60, 72
8. 24, 36
9. 12, 16
10. 18, 30, 54

## Multiplication and Division of Fractions Exercises – Set 2

Find the product of the following:

1.) $\dfrac{3}{4} \times \dfrac{5}{8}$

2.) $\dfrac{1}{8} \times \dfrac{3}{4} \times \dfrac{2}{3}$

3.) $2 \dfrac{3}{5} \times \dfrac{2}{3}$

4.) $7 \dfrac{5}{6} \times 1 \dfrac{3}{4}$

5.) $7 \times 2 \dfrac{3}{14}$

6.) $\dfrac{2}{3} \div \dfrac{3}{4}$

7.) $15 \div \dfrac{5}{6}$

8.) $\dfrac{3}{8} \div 4$

9.) $1 \dfrac{2}{3} \div \dfrac{4}{5}$

10.) $7 \dfrac{1}{4} \div \dfrac{1}{8}$

## Addition of Fractions Exercises – Set 2

1.) $\dfrac{1}{7} + \dfrac{2}{7}$

2.) $\dfrac{1}{12} + \dfrac{5}{12}$

3.) $\dfrac{7}{15} + \dfrac{2}{15} + \dfrac{6}{15}$

4.) $\dfrac{1}{3} + \dfrac{1}{4}$

5.) $\dfrac{2}{9} + \dfrac{1}{3}$

6.) $\dfrac{3}{8} + \dfrac{1}{4}$

7.) $8 \dfrac{2}{3} + \dfrac{3}{2}$

8.) $\dfrac{1}{2} + \dfrac{2}{3} + \dfrac{3}{4}$

9.) $7 \dfrac{2}{7} + 6 \dfrac{3}{14}$

10.) $3 \dfrac{1}{4} + 2 \dfrac{1}{8}$

1.) $\dfrac{3}{7}$

2.) $\dfrac{6}{12} = \dfrac{1}{2}$

3.) $\dfrac{15}{15} = 1$

4.) $\dfrac{7}{12}$

Solution:

## PCSR Logical Reasoning Exercise

This is the first Logical Reasoning exercise for March 2018 CS Exams.

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