# Math 8 1st Semester Test

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2008-09 Math 8, Semester 1 Test

• 1.

### My Grandma Clara celebrated her seventy-fifth birthday in 1986.  In what year was she born?

Explanation
The question states that Grandma Clara celebrated her seventy-fifth birthday in 1986. To determine her birth year, we subtract 75 from 1986, which gives us 1911. Therefore, Grandma Clara was born in 1911.

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• 2.

• 3.

• 4.

• 5.

### The Fancy Miss Brooke lost a bundle when the stock market first dropped...She is trying to determine how much money she has left.  Her question is this:Seventy-four million is how much less than one billion?

Explanation
The question asks for the difference between seventy-four million and one billion. To find the difference, we subtract seventy-four million from one billion. The correct answer is 926,000,000.

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• 6.

### Instead of using your intelligence as a vandal, try this one instead!Compare:  (1/6 +2/6) + 3/6 is greater than/less than/equal to 1/6 + (2/6 + 3/6).  (Type in either greater than, less than, or equal to when answering.)

Explanation
The given expression states that (1/6 + 2/6) + 3/6 is equal to 1/6 + (2/6 + 3/6). This is because when we add the fractions within the parentheses first, we get (3/6) + 3/6, which equals 6/6 or 1. Therefore, both sides of the equation simplify to 1, making them equal to each other.

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• 7.

### Andrew wants to construct a base for his new model car. He wants to know the perimeter of a rectangle with a length of 8 cm and a width of 4 cm.(Answer with a numeral and a label.)

Explanation
The perimeter of a rectangle is calculated by adding up all four sides. In this case, the length is 8 cm and the width is 4 cm. To find the perimeter, we add 8 cm + 8 cm + 4 cm + 4 cm, which equals 24 cm.

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• 8.

### Find the area of the rectangle in number 8 (length is 8 cm and width is 4 cm). (PUT ANSWER AND LABEL!)

Explanation
The area of a rectangle is calculated by multiplying its length and width. In this case, the length is given as 8 cm and the width is given as 4 cm. Therefore, the area can be found by multiplying 8 cm by 4 cm, which equals 32 sq. cm.

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• 9.

### Reduce:  5 18/24(PUT WHOLE NUMBER, THEN SPACE, THEN FRACTION, with no space! Such as: 3 1/3)

Explanation
The given question asks to reduce the mixed number 5 18/24. To reduce a mixed number, we first convert the whole number part to an improper fraction. In this case, 5 can be written as 5/1. Then, we add the fractions together. 5/1 + 18/24 = 120/24 + 18/24 = 138/24. Finally, we simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 6. 138/24 ÷ 6/6 = 23/4. Therefore, the reduced form of 5 18/24 is 5 3/4.

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• 10.

### Reduce:  12/21

Explanation
To reduce a fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by it. In this case, the GCD of 12 and 21 is 3. Dividing both numbers by 3 gives us 4 and 7 respectively. Therefore, the reduced form of 12/21 is 4/7.

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• 11.

### Write 1 2/3 as an improper fraction, then multiply the improper fraction by 1/2 and write the answer.

Explanation
To convert 1 2/3 to an improper fraction, we multiply the whole number (1) by the denominator (3) and add the numerator (2), which gives us 5. So, 1 2/3 as an improper fraction is 5/3. To multiply 5/3 by 1/2, we multiply the numerators (5 * 1) to get 5, and multiply the denominators (3 * 2) to get 6. Therefore, the answer is 5/6.

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• 12.

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• 14.

### Seth likes to solve problems like this one...Can you solve it?Find the missing number (K):3797 - K = 1169(WRITE what k is equal to for your answer...a number, only.

Explanation
The missing number (K) can be found by subtracting 1169 from 3797. So, 3797 - 1169 = 2628. Therefore, the missing number (K) is equal to 2628.

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• 15.

• 16.

• A.

9/4

• B.

2 2/8

• C.

7/4

• D.

18/8

C. 7/4
• 17.

### 3/5 + 3/5 + 3/5 =

1 4/5
Explanation
The equation is asking for the sum of three fractions, all of which have the same denominator of 5. When we add the numerators together, we get 9. So the sum of the three fractions is 9/5. However, since 9 is greater than 5, we can simplify the fraction by dividing 9 by 5 and getting a whole number of 1 and a remainder of 4. Therefore, the sum can be expressed as 1 4/5.

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• 18.

### 9/10 - 7/10 = Math Joke: Student:  "Dad, can you help me find the lowest common denominator in this problem, please?"Father:  "Don't tell me that they haven't found it yet; I remember looking for it when I was a boy!"

1/5
Explanation
The given expression is a subtraction problem involving fractions. To subtract fractions, we need to have a common denominator. In this case, the common denominator is 10. So, we need to convert both fractions to have a denominator of 10.

Converting 9/10 to have a denominator of 10, we multiply the numerator and denominator by 1, resulting in 9/10.

Converting 7/10 to have a denominator of 10, we also multiply the numerator and denominator by 1, resulting in 7/10.

Now that both fractions have the same denominator, we can subtract the numerators: 9 - 7 = 2.

The final answer is 2/10, which can be simplified to 1/5.

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• 19.

### (2/3) to the 2nd power

4/9
Explanation
The given expression, (2/3) to the 2nd power, means raising the fraction 2/3 to the power of 2. To do this, we multiply the fraction by itself. When we multiply 2/3 by itself, we get 4/9. Therefore, the answer to the expression is 4/9.

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• 20.

### The square root of 144 is?

12
Explanation
The square root of a number is the value that, when multiplied by itself, gives the original number. In this case, the square root of 144 is 12 because 12 multiplied by itself equals 144.

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• 21.

### 12 (11 + 13) =

288

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