问答题
These exercises are designed to help you apply the mathematics concepts just covered. They are not in GRE format, but should help you to identify your areas of strength and weakness.
These exercises are designed to help you apply the mathematics concepts just covered. They are not in GRE format, but should help you to identify your areas of strength and weakness.
Basic Operations
These questions will test your knowledge of operations using integers, real numbers, fractions, and decimals.
Insert the correct operator in the blanks below.
These questions will test your knowledge of operations using integers, real numbers, fractions, and decimals.
Insert the correct operator in the blanks below.
问答题
| 108 ______ 9=12 |
【正确答案】
【答案解析】In order for 12 to be the result of this operation, you must divide 108 by 9. Insert the ÷ symbol in the blank.
问答题
| 7 ______ 2=3.5 |
【正确答案】
【答案解析】To reach an answer of 3.5, you must divide 7 by 2. Insert the + symbol in the blank.
问答题
 |
【正确答案】
【答案解析】One way to solve this problem is to look for the Lowest Common Denominator (LCD). The smallest number that both 4 and 8 divide evenly into is 8, so the fraction does not need to be changed. The fraction 
is equivalent to 
plus 
equals 
does not need to be changed. The fraction is equivalent to plus equals
问答题
| When 5 consecutive odd integers, each greater than 34 are added, what is the smallest possible sum? |
【正确答案】
【答案解析】To find the smallest possible sum, take the 5 consecutive odd integers that are the closest to 34 (remember, they all must be greater than 34). These numbers would be: 35, 37, 39, 41, and 43. Add them together:
35+37+39+41+43=195.
问答题
| What is the Lowest Common Denominator of |
【正确答案】
【答案解析】The Lowest Common Denominator (LCD) is the smallest number into which all of the denominators will divide evenly. For this problem, you must find the smallest number into which 8 and 4 will divide evenly. Since 4 will divide evenly into 
问答题
 |
【正确答案】
【答案解析】You must first complete the math within the parentheses (96-21= 75). Next, do any multiplication or division in the problem, from left to right:
问答题
| 3(27+2-3)= ______ |
【正确答案】
【答案解析】You must first do the operations within the parentheses (27+2-3=26). Now multiply the value from the parentheses by 3:3×26=78.
问答题
 |
【正确答案】
【答案解析】You must first find the Lowest Common Denominator (LCD) for the two fractions involved. The denominators are 3 and 7. The smallest number into which both of these numbers can divide evenly is 21. Convert each denominator to 21 by multiplying . This gives you 
which equals
. This gives you which equals
问答题
| 231.2-198.7= ______ |
【正确答案】
【答案解析】This is a simple subtraction problem. To solve this without a calculator, line up the decimal points and subtract (remembering to "borrow" and "carry"), as follows:
问答题
 |
【正确答案】
【答案解析】First convert to its decimal equivalent, which is 0.2. Then multiply 0.25 by 0.2 to get 0.05. Another way to solve is to first convert 0.25 to its equivalent fraction, which is 
. When multiplying the two fractions, you first multiply the numerators, and then the denominators, giving you
Because this is equivalent to 0.05, either answer will be correct.
to its decimal equivalent, which is 0.2. Then multiply 0.25 by 0.2 to get 0.05. Another way to solve is to first convert 0.25 to its equivalent fraction, which is . When multiplying the two fractions, you first multiply the numerators, and then the denominators, giving you
Because this is equivalent to 0.05, either answer will be correct.