The “number series” tutorials of PH Civil Service review contains tutorials on methods and strategies used in solving number series problems. As I have mentioned in the teaser of this tutorials, the term “series” is technically wrong: what you are solving are really sequences. Although they maybe similar to many of you, to mathematics majors, they are very different. In mathematics, series means sequence of sums. I will not go into details about this since this is irrelevant for the review. In this series of tutorials, mathematically, we will use the term “series” and “sequence” interchangeably.
1.) A Teaser on Answering Number Series Questions discusses a brief introduction to number sequence.
2.) How to Solve Number Series Problems Part 1 discusses simple integer, letter, and fraction sequence. » Read more
In Part 1, Part 2, and Part 3 of the How to Solve Motion Problems Series, we have learned how to solve problems involving objects moving in the same direction as well as those which move toward each other. In this post, we are going to learn about objects which move on opposite directions. The method in solving this problem is very similar to the method used in Part 3 of this series.
We now solve the sixth problem in this series. » Read more
This is the third part of the How to Solve Motion Problems Series, a part of the Word Problem Solving Series of Ph Civil Service Reviewer. In Part 1 and Part 2 of this series, we discussed objects moving in the same direction. In this part, we are going to discuss objects moving toward each other. We have already discussed four problems in the previous parts of this series, so, we solve the fifth problem.
A car leaves City A and travels towards City B at an average speed of 60 kilometers per hour. At the same time, another car leaves City B and travels towards city A at an average speed of 70 kilometers per hour. If the two cars use the same route, and if the distance between two cities is 520 kilometers, how many hours before they meet? » Read more
This is the second part of the How to Solve Motion Word Problem series. I suggest that you read first the introduction to this series as well as the first part in order to understand better.
In the first part of this series, we discusses about a faster object overtaking a slower one who left first. In this post, we continue to solve motion problems involving two objects traveling in the same direction and one object faster than the other; this time, they left at the same time. We want to know that given a particular time when they are a number of kilometers apart. » Read more
Now that I have introduced to you motion problems, let us solve the type of problems that usually appear in textbooks as well as examinations. In this part of the series, we will learn how to analyze and solve a problem involving objects moving in the same direction. This is our third problem in the How to Solve Motion Problems Series.
Car A left Math City going to English City at an average speed of 40 kilometers per hour. Two hours later, Car B traveling 60 kilometers per hour leaves the same place for English City. In how many hours, will the car B overtake Car A? » Read more
We have already finished learning how to solve number problems and age problems, so we continue with learning motion problems. Motion problems deal with moving objects such as cars, planes, boats, etc and their speed, distance traveled and time spent traveling. Walking and running are also usually asked in motion problems. Motion problems also include headwind, tailwind, for planes and other flying objects and upstream and downstream problems on boats traveling in rivers.
Average Speed and Actual Speed » Read more
One of the common types of word problems in mathematics and in many examinations is about Age Problems. This series discusses various problem styles involving age problems and explains in details how they are solved.
The Age Problem Solving Series
How to Solve Age Problems Part 1 discusses simple 2-person problems particularly present-past and present-future age relationships.
How to Solve Age Problems Part 2 discusses a slightly more difficult 2-person problems particularly present-past and present-future age relationships.
How to Solve Age Problems Part 3 discusses age problems that involves fractions.
I am planning to write a fourth part for this series in the near future, but for now, I will focus more on yet uncovered topics.
It’s two weeks before the exam! I am sure you are all excited (big big smile from me). However, before you sink yourself in the upcoming Civil Service Review fever, let me give you some tips on how to make your review more organized. Here are the 6 things that I recommend you do in the next two weeks. It’s not a guarantee that you will pass (cross fingers), but I hope they help.
1. Make a Review Schedule
Make a table that will contain your review schedule for the next two weeks. Focus on a particular topic at each time frame. For example, tomorrow, from 6:00-9:00 pm, review about equations. Just all about equations. » Read more