# Math 7/8 Semester 1 Test

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Semester 1 Test for Math 7/8

• 1.

### Matt is not crazy about writing, so he'd rather write digits than words.  However, he needs some help, because this is a BIGGIE!  Can you help him?Write the numeral for seventeen million, one hundred five thousand.

• A.

17,105,000

• B.

17,150,000

• C.

17,105,000,000

• D.

17,100,005

A. 17,105,000
Explanation
The correct answer is 17,105,000. This is the numeral form for seventeen million, one hundred five thousand.

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• 2.

### Tim is confused.  What should he do with this problem to solve it?  PLEASE HELP HIM!!432/12 =

36
Explanation
Tim should divide 432 by 12 to solve the problem. The quotient of this division is 36.

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• 3.

### Lucas thinks he is getting better at these problems...are you?What is the greatest common factor (GCF) of 12 and 18?

• A.

6

• B.

9

• C.

12

• D.

24

A. 6
Explanation
The greatest common factor (GCF) is the largest number that divides evenly into both 12 and 18. To find the GCF, we can list the factors of both numbers and find the largest one they have in common. The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 18 are 1, 2, 3, 6, 9, and 18. The largest number they have in common is 6, so the GCF of 12 and 18 is 6.

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• 4.

### Travis got ahold of the plate of cookies last night, and boy, was his mom mad!  She told him he had eaten way more than his share, by having had 2/3 of a DOZEN cookies!  What is 2/3 of 12?

• A.

4

• B.

6

• C.

3

• D.

8

D. 8
Explanation
Travis ate 2/3 of a dozen cookies. A dozen is equal to 12, so to find 2/3 of 12, we multiply 12 by 2/3. This can be done by multiplying the numerator (2) by 12 and dividing the result by the denominator (3). 2 multiplied by 12 is 24, and when divided by 3, the result is 8. Therefore, 2/3 of 12 is equal to 8.

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• 5.

### 1 - 3/5 =

• A.

2

• B.

-2/5

• C.

2/5

• D.

3/5

C. 2/5
Explanation
The given expression is subtracting 3/5 from 1. To subtract fractions, we need to have a common denominator. In this case, the common denominator is 5. So, we have 1 as 5/5. Subtracting 3/5 from 5/5 gives us 2/5. Therefore, the correct answer is 2/5.

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• 6.

### 1/2 x 1/3 x 1/4 =

• A.

1/24

• B.

1/9

• C.

1/6

• D.

1/12

A. 1/24
Explanation
To multiply fractions, we multiply the numerators together and then multiply the denominators together. In this case, multiplying 1/2 by 1/3 gives us 1/6. Then, multiplying 1/6 by 1/4 gives us 1/24. Therefore, the correct answer is 1/24.

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• 7.

### Estimate the product of 87 and 31.

• A.

2700

• B.

270

• C.

2400

• D.

240

A. 2700
Explanation
To estimate the product of 87 and 31, we can round both numbers to the nearest ten. 87 rounds to 90 and 31 rounds to 30. When we multiply 90 by 30, we get 2700. Therefore, the estimated product of 87 and 31 is 2700.

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• 8.

### What is the difference between the product of 20 and 10 and the sum of 20 and 10?

• A.

900

• B.

0

• C.

60

• D.

170

D. 170
Explanation
The difference between the product of 20 and 10 (20 * 10 = 200) and the sum of 20 and 10 (20 + 10 = 30) is 170.

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• 9.

### Chris is some kind of basketball player!  He is his team's top scorer.  He makes a LOT of points each game.  He is wondering what is his average is for the last four games.  Can you help him out?What is the average of 37, 82, 63, and 58?

• A.

58

• B.

50

• C.

60

• D.

63

C. 60
Explanation
The average of 37, 82, 63, and 58 is 60. To find the average, you add up all the numbers and then divide the sum by the total number of values. In this case, the sum of 37, 82, 63, and 58 is 240. Dividing 240 by 4 (the total number of values) gives an average of 60.

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• 10.

### Spencer's basketball team won 7 of its 12 games.  What fraction of its games did the team win?

• A.

5/12

• B.

7/1

• C.

5

• D.

7/12

D. 7/12
Explanation
The fraction 7/12 represents the number of games won (7) out of the total number of games played (12). It shows that the team won more than half of their games, which is a good performance.

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• 11.

### 5 1/5 + 2 2/5 =

• A.

8

• B.

7 3/10

• C.

7 2/25

• D.

7 3/5

D. 7 3/5
Explanation
The given problem involves adding two mixed numbers. To solve this, we first add the whole numbers, which gives us 5 + 2 = 7. Then, we add the fractions, which gives us 1/5 + 2/5 = 3/5. Therefore, the sum of the two mixed numbers is 7 3/5.

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• 12.

• A.

3 2/3

• B.

2 2/3

• C.

2 1/3

• D.

3 1/3

C. 2 1/3
• 13.

### Karter is a PRO at these problems...Are you?1/5 divided by 2/3

• A.

2/15

• B.

3/10

• C.

10/3

• D.

3 1/3

B. 3/10
Explanation
The correct answer is 3/10 because when we divide a fraction by another fraction, we actually multiply the first fraction by the reciprocal of the second fraction. In this case, 1/5 divided by 2/3 is the same as 1/5 multiplied by 3/2. Multiplying the numerators gives us 3 and multiplying the denominators gives us 10. Therefore, the answer is 3/10.

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• 14.

### What is the place value of the 7 in 7,654,321?

• A.

Thousands

• B.

Ten millions

• C.

Millions

• D.

Billions

C. Millions
Explanation
The place value of a digit in a number is determined by its position in the number. In the given number, 7,654,321, the 7 is in the millions place. This means that the value of the 7 is seven million.

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• 15.

### What number is 12 less than 3?

• A.

-9

• B.

9

• C.

15

• D.

-15

A. -9
Explanation
To find the number that is 12 less than 3, we subtract 12 from 3. This gives us -9. Therefore, the correct answer is -9.

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• 16.

### List the whole number factors of 12.

• A.

1, 2, 6, 12

• B.

1, 2, 3, 4, 6, 12

• C.

12, 24, 36, 48, 60

• D.

1/2, 1, 2, 3, 4, 6, 12, 24

B. 1, 2, 3, 4, 6, 12
Explanation
The correct answer is 1, 2, 3, 4, 6, 12. These numbers are the factors of 12 because they can divide evenly into 12 without leaving a remainder.

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• 17.

### Shane's parents have decided they have WAY too many miniature horses around--they are eating their family out of house and home!  (Not to mention occasionally taking a bite of the family members themselves!) Shane has to sell or give away 1/4 of his horses!  How many is that?What is 1/4 of 60?

• A.

15

• B.

240

• C.

10

• D.

12

A. 15
Explanation
Shane has to sell or give away 1/4 of his horses. To find out how many horses that is, we need to calculate 1/4 of the total number of horses he has, which is 60. To do this, we divide 60 by 4, which equals 15. Therefore, Shane has to sell or give away 15 horses.

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• 18.

### 3 3/4 - 2 =

• A.

3/4

• B.

1

• C.

1 3/4

• D.

1 1/4

C. 1 3/4
Explanation
The given expression is subtracting 2 from 3 3/4. To solve this, we need to convert the mixed number 3 3/4 into an improper fraction. 3 3/4 is equivalent to (4*3 + 3)/4 = 15/4. Subtracting 2 from 15/4 gives us (15/4) - (8/4) = 7/4. Converting 7/4 back into a mixed number, we get 1 3/4. Therefore, the correct answer is 1 3/4.

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• 19.

### 1/5 x 2/3 =

• A.

3/10

• B.

2/8

• C.

1/4

• D.

2/15

D. 2/15
Explanation
To multiply fractions, we multiply the numerators together and the denominators together. In this case, multiplying 1/5 by 2/3 gives us (1 x 2) / (5 x 3) = 2/15. Therefore, the correct answer is 2/15.

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• 20.

### 4/5 divided by 5/6 =

• A.

24/25

• B.

2/3

• C.

1 1/25

• D.

1/4

A. 24/25
Explanation
When dividing fractions, you can multiply the first fraction by the reciprocal of the second fraction. In this case, we have (4/5) divided by (5/6), which is the same as (4/5) multiplied by (6/5). When we multiply the numerators (4 and 6) and the denominators (5 and 5), we get 24/25. Therefore, the correct answer is 24/25.

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• Mar 21, 2023
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