Math 8 1st Semester Test

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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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About This Quiz
Math 8 1st Semester Test - Quiz

This test for Math 8 covers a variety of topics including basic arithmetic, percentages, and problem-solving skills, reflecting essential middle school math concepts.

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2) The square root of 144 is?

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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3) Jacob figured out he played approximately 7000 hours of video games in the past 50 weeks. Jacob played an average of how many hours each week?  


Explanation

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4) 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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5)


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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6)

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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7) 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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8) Find an equivalent fraction that has a denominator of 36.  Write the correct NUMERATOR.
5/6 = ?/36

Explanation

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9) Sheldon's favorite part of math is geometry, because she likes to work with shapes--they remind her of basketballs, volleyballs and softballs!  
She would like to ask you if an 85 degree angle is an acute angle, right angle, obtuse angle, or straight angle.

Explanation

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10)  
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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11) 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!"

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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12)



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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13) The Fancy Miss Brooke lost a bundle when the stock market first dropped...182.365

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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14) Alexis's favorite math problems involve MISSING DIGITS.  There are none of those here, but instead she wants you to join her in finding the MISSING NUMBER!!!  
Find the missing number (m) in this problem:
30m = $40.20  
(Again, just the number WITH A LABEL as your answer, please!)

Explanation

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15) Five hundred eighty-six ducks floated peacefully on the lake.  After Josh's first shot rang out, all but 39 of the ducks flew away.  How many ducks flew away?

Explanation

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16) 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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17) (2/3) to the 2nd power

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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18) 3/5 + 3/5 + 3/5 =

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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19) One foot is what percent of one yard?

Explanation

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20) 12 (11 + 13) =

Explanation

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21) Sierra is starting to feel quite ill...as a matter of fact, she has contracted...!!
In order to get over her FRACTION FEVER, Sierra needs help with convertin mixed numbers and improper fractions...Can you help make her feel better?
Which of the following is NOT equal to 2 1/4?

Explanation

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My Grandma Clara celebrated her seventy-fifth birthday in 1986.  In...
The square root of 144 is?
Jacob figured out he played approximately 7000 hours of video games in...
Andrew wants to construct a base for his new model car. ...
Reduce:  5 18/24(PUT WHOLE NUMBER, THEN SPACE, THEN FRACTION, with no...
Reduce:  12/21
Write 1 2/3 as an improper fraction, then multiply the improper...
Find an equivalent fraction that has a denominator of 36.  Write the...
Sheldon's favorite part of math is geometry, because she likes to work...
 Seth likes to solve problems like this one...Can you solve it?Find...
9/10 - 7/10 = ...
Instead of using your intelligence as a vandal, try this one...
The Fancy Miss Brooke lost a bundle when the stock market first...
Alexis's favorite math problems involve MISSING DIGITS.  There are...
Five hundred eighty-six ducks floated peacefully on the lake.  After...
Find the area of the rectangle in number 8 (length is 8 cm and width...
(2/3) to the 2nd power
3/5 + 3/5 + 3/5 =
One foot is what percent of one yard?
12 (11 + 13) =
Sierra is starting to feel quite ill...as a matter of fact, she has...
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