Category Archives: Tutorials

How to Convert Fractions to Lowest Terms

In the Civil Service Examination and in many mathematics examinations, results that are fractions are usually required to be converted to their lowest terms.  The numerator and the denominator of a fraction in lowest terms cannot be divided by any  similar integer. Knowledge of divisibility rules can be helpful in this process. Example 1: Convert… Read More »

Grammar and Correct Usage Practice 2 Answers and Explanations

Below are the answers and the explanations to the Grammar and Correct Usage Practice Test 2. The incorrect word or phrase in the sentence is highlighted red, while the correct word or phrase is highlighted green. 1. Paul Erdos was a mathematician who writes a lot of research papers in collaboration with other mathematicians. Correct Sentence: Paul Erdos was a mathematician… Read More »

Fraction Addition Practice Test 1 Solutions and Answers

The idea of getting the least common multiple of the denominator in adding dissimilar fractions is to convert them into similar fractions or fractions whose denominators are the same. Once the fractions are similar, you only need to add the numerator and  copy the denominator. The solutions to Fraction Addition Practice Test 1 below is divided into… Read More »

How to Add Fractions

Fractions whose denominators are the same are called similar fractions. Fractions that are not similar are called dissimilar fractions. Hence, the fractions , , and are similar fractions, while the fractions and are dissimilar fractions. In this post, we are going to learn how to add fractions.  How to Add Similar Fractions Adding similar fractions… Read More »

A Gentle Introduction to Fractions

Fractions is one of the mathematics topics that many people have difficulty with. However, unfortunately, it is also one of the most important topics that must be mastered. This is because examination questions in mathematics always include fractions. For example, in the Civil Service Review Numerical Reasoning tests, fractions appear in almost every test: basic… Read More »

PEMDAS Rules Practice 1 Solutions

Below are the solutions and answers to the problems in PEMDAS Rules Practice 1. Notice that I have color coded the solution to guide you which operation results to which answer. I have also varied the notations like / and ÷ to familiarize you with both of them. In addition, I have also included operations on… Read More »

Subject-Verb Agreement Practice Test 1 Answers

Below are the answers to the Subject-Verb Agreement Practice Test 1. The incorrect verb in each sentence is highlighted red and the correct verb in the corrected sentence is highlighted green. An explanation follows every correction.  Subject-Verb Agreement Practice Test 1 Answers 1. My brother or my sister are arriving tomorrow. Correct sentence:  My brother or… Read More »

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