Grammar Quiz – Is, It, Its, It’s

 It is a pronoun that usually refers to something that has previously mentioned or easily identified.

Example: A room with two televisions in it.

Its is the possessive form of it.

Example:This is a weird-looking gadget. What is its purpose? 

It’s is a contraction of it is or it has.

Example: It’s time to go. (It is time to go).  » Read more

How to Solve Rectangle Area Problems Series

The How to Solve Rectangle Area Problems Series is a series of posts on the basics of solving rectangle area problems. This post is a summary of the rectangle area series.

1.) Calculating Areas of Geometric Figures discusses the notion of area and the intuitive derivation of the formula A = l \times w where A is the area of a rectangle, l is its length and w its width.

2.) How to Solve Rectangle Area Problems Part 1 discusses the basic problems involving area of rectangles.

3.) How to Solve Rectangle Area Problems Part 2 discusses intermediate problems involving area of rectangles. This involves solving the area given the rectangle’s perimeter.

4.) Rectangle Area Problems Quiz is a self quiz to be able to determine your understanding regarding rectangle area.

I hope you enjoyed this series. More series to come in the future.


Rectangle Area Quiz

This is the conclusion of the Solving Problems on Rectangle Area Series. In the first part, we have discussed the intuition basics of rectangle area formula and solved basic problems about it. In the second part, we have solved more complicated rectangle area problems. In this post, you are allowed to test what you have learned in the previous parts of the series.

Ideal Time Limit: 15 minutes

Rectangle Area Quiz 

1. The length of a rectangle is 8 cm and its width is 7 cm. What is its area?  » Read more

Grammar Quiz – Any, Every, Some, None

Any, every, some, none are some of the words that can be compounded with other words to form pronouns, adjectives, and adverbs. They can be easily confused with each other. Take the quiz below and see how you understand these words. The answer key can be seen by clicking the red + button after the choices.  Good luck!

Grammar Quiz –  Any, Every, Some, None

1. There’s _____ you can do. I’ve made up my mind already.

a.) anything
b.) everything
c.) something
d.) nothing  » Read more

How to Solve Rectangle Area Problems Part 2

We have already learned the concept of area of a rectangle and solved sample problems about it. In this post, we continue the rectangle area problems series. We discuss three more problems about rectangle area.

The fourth problem below involves area preservation, the fifth is calculating the area given its perimeter, and the sixth requiring the use of quadratic equations.

Let’s begin.

Problem 4

What is the area of the figure below?  » Read more

How to Solve Rectangle Area Problems Part 1

The area of a rectangle including square are the simplest to calculate.  As we have discussed in the previous post, they can be calculated by multiplying their length and the width. That is if a rectangle has area A, length l and width w, then,

A = l \times w or simply A = lw.

In this post, we are going to solve various problem involving area of rectangles.

Problem 1

The length of a rectangle is 12 centimeters and its width is 5 centimeters. What is its area?


Using the representation above, l = 12 and w = 5. Calculating the area, we have

A = 12(5) = 60.

The area is 60 square centimeters.  » Read more

Calculating Areas of Geometric Figures

Area of geometric figures are very common in Civil Service Exams and also other types of examinations. Area is basically the number of square units that can fit inside a closed region. In a closed region, if all the unit squares fit exactly, you can just count them and the number of squares is the area. For example, the areas of the figures below are 4, 10, 8 and 20 square units.

The figures blow are rectangles (yes, a square is a rectangle!). Counting the figures and observing the relationship between their side lengths and their areas, it is easy to see that the area is equal to the product of the length and the width (Why?). » Read more

Grammar Quiz – Past, Present, Future Tenses

English is more than 50% of the coverage of the Civil Service Exams. Most of the exam types are about grammar and correct usage. It is important that you master basic grammar in order to increase  your chance of passing the exam.

Below is a review of your knowledge of past, present, and future tenses.  We will be discussing verb tenses in detail in the near future, but you can try your stock knowledge for now. Good luck!

Grammar Quiz – Past, Present, Future Tenses

1. Tomorrow evening, I think Gemma is _____ a birthday party.

a.) attend
b.) will attending
c.) is going to attend
d.) has attended  » Read more

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