## Motion Problem Exercise Answer Key and Solution

Here’s the answer key and complete solution for Motion Problem Exercise 1.
1.) 1, 800 Kilometers

Distance = ?
Rate = 400 kph
Time = 4.5 hours

$d = r \times t$
$d = 400 \ times 4.5$
$d = 1, 800 km$

2.) 12 kph

Distance = 3 km
Rate = ?
Time = 15 mins (or 2.5 hrs)

$rate = \dfrac{distance}{time}$
$rate = \dfrac{3}{.25}$
$rate = 12 kph$

## 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?

## Identifying Error Exercise

Direction: Each sentence consists of four underlined words or phrases. Identify the one word or phrase that must be changed in order for the sentence to be correct. If there are no errors, choose “No error”. Encircle letter of your choice.

1.) Jasper and me went to the park to play soccer with our friends. No error.

A.) me
B.) went
C.) to play
D.) with
E.) No error.

2.) The duties of the council chair are to preside over meetings, monitoring the progress of the group and consulting with more senior officers on issues discussed in meetings. No error
A.) council chair
B.) to preside
C.) monitoring
D.) consulting
E.) No error.

3.) The Supreme Court is the highest court in the land, and have the final decision on issues that matter the most. No error.
A.) is
B.) in the land
C.) have
D.) the most.
E.) No error.

4.) The value of the peso declines as the rate of inflation raises. No error.
A.) value
B.) declines
C.) as the
D.) raises.
E.) No error.

5.) Either Prof. Leloy Claudio or his fellow professors identifies as anti-communist. No error.
A.) either
B.) or
C.) his fellow professors
D.) identifies
E.) No error.

## Age Word Problem

Solve the following problems.

1.) Jeff is 8 years older than Mira. The sum of their ages is 60. What are their ages?

2.) Angie is 12 years younger than Jaime. The sum of their ages is 44. How old is Jaime?

3.) Leo is 7 years older than Karen. In 5 years, the sum of their ages will be 45. How old is Karen?

4.) Arvin is twice as old as Cory. The sum of their ages is 42. What are their ages?

5.) Rashid is four times as old as Soraya. Three years ago, the sum of their ages was 39. How old is Soraya now?

## Number Word Problem

Solve the following problems.

1.) One number is 3 greater than the other number. Their sum is 47. What are the two numbers?

2.) One number is 12 less than the other number. Their sum is 64. What are the two numbers?

3.) One number is twice the other number. Their sum is 84. What are the two numbers?

4.) One number is five times the other number. Their sum is 72. What are the two numbers?

5.) One number is four times the other number. Their difference is 45. What are the two numbers?

## Subtraction of Fractions Exercises – Set 2

Find the difference of the following:

1.) $\dfrac{9}{11} - \dfrac{7}{11}$

2.) $\dfrac{10}{21} - \dfrac{3}{21}$

3.) $\dfrac{40}{15} - \dfrac{10}{15}$

4.) $9 \dfrac{3}{10} - \dfrac{7}{10}$

5.) $\dfrac{1}{2} - \dfrac{1}{5}$

6.) $7 - \dfrac{3}{5}$

7.) $5 \dfrac{7}{8} - \dfrac{3}{4}$

8.) $9 \dfrac{1}{2} - 7 \dfrac{1}{5}$

9.) $6 \dfrac{1}{5} - 2 \dfrac{3}{4}$

10.) $12 \dfrac{1}{6} - 3 \dfrac{1}{2}$

## Civil Service Exam Analogy Reviewer

Here are some multiple-choice Civil Service exam reviewers on Single-word analogy.

Direction: Choose the letter that corresponds to the word matches perfectly with each analogy.

1.) Gaborone : Botswana :: Kiev : _______

A.) Moldova
B.) Estonia
C.) Ukraine
D.) Latvia

2.) Lucban : Quezon :: Naga : _______

A.) Laguna
B.) Sulu
C.) Bohol
D.) Camarines Sur

3.) Ilocos : bagnet :: Cebu : _______

A.) lechon
B.) diningding
C.) Bicol express
D.) pinaupong manok

4.) Shakespeare : Hamlet :: J.K. Rowling : _______

A.) Jonathan Livingstone
B.) Robinson Crusoe
C.) Frodo Baggins
D.) Harry Potter

5.) Odin : Norse :: Thoth : _______

A.) Greek
B.) Aztec
C.) Babylonian
D.) Egyptian