# Dcis Math Test Incoming 6th Graders

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This quiz will assess how well incoming 6th graders understand the 6th grade curriculum. If they are proficient on this quiz, they can enroll in 7th grade math as a 6th grader.

• 1.

### 3/8 + 2/3

• A.

5/24

• B.

5/11

• C.

1 and 1/24

• D.

1 and 3/12

• E.

None of the above.

C. 1 and 1/24
Explanation
The given expression is a sum of two fractions. To add fractions, we need to have a common denominator. In this case, the least common multiple of 8 and 3 is 24. So, we rewrite the fractions with a common denominator: 3/8 becomes 9/24 and 2/3 becomes 16/24. Adding these fractions gives us 25/24, which is equivalent to 1 and 1/24. Therefore, the correct answer is 1 and 1/24.

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• 2.

### Which of the following is the correct classification for the angles pictured below?

• A.

Supplementary angles

• B.

Obtuse angles

• C.

Acute angles

• D.

Vertical angles

• E.

Big angles

B. Obtuse angles
Explanation
The angles pictured below are obtuse angles because they are greater than 90 degrees but less than 180 degrees.

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• 3.

### Find the mode for the following set of data:{ 14, 12, 18, 11, 11, 17, 11, 18 }

• A.

18

• B.

13

• C.

18 and 11

• D.

11

• E.

None of the above

D. 11
Explanation
The mode of a set of data is the value that appears most frequently. In this case, the number 11 appears three times, which is more than any other number in the set. Therefore, the mode of the given set of data is 11.

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• 4.

### What is the median of the following set of data?{ 22, 12, 18, 11, 14, 17, 22, 14 }

• A.

11

• B.

13.33333

• C.

14

• D.

15.5

D. 15.5
Explanation
The median is the middle value of a set of data when it is arranged in ascending order. In this case, when the data is arranged in ascending order, it becomes {11, 12, 14, 14, 17, 18, 22, 22}. Since there are 8 numbers in the set, the middle value would be the 4th number, which is 14. Therefore, the correct answer is 14.

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• 5.

### Which one of the following choices shows an equivalent decimal for the fraction 4 out of 25?

• A.

0.04

• B.

0.08

• C.

0.16

• D.

0.4

C. 0.16
Explanation
The fraction 4 out of 25 can be written as 4/25. To find an equivalent decimal, we divide 4 by 25. The quotient is 0.16, which is equivalent to 4/25. Therefore, the correct answer is 0.16.

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• 6.

### Study the fractions below:3/10 , 3/5 , 3/8 , 2/3 Which list below shows the fractions in order from LEAST to GREATEST?

• A.

3/8 , 3/10, 3/5, 2/3

• B.

2/3, 3/5, 3/8, 3/10

• C.

3/5, 3/8, 3/10, 2/3

• D.

3/10, 3/8, 3/5, 2/3

D. 3/10, 3/8, 3/5, 2/3
Explanation
The fractions are ordered from least to greatest based on their values. The numerator remains constant at 3, so the fractions with smaller denominators will have larger values. Therefore, 3/10 is the smallest fraction, followed by 3/8, 3/5, and finally 2/3, which is the largest fraction.

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• 7.

### A store has two flashing lights to get customers' attention.One light flashes every 9 seconds.The other light flashes every 12 seconds.If you turn both of the lights on at the same time, how many seconds later will both lights flash again at the same time?

• A.

In 24 seconds

• B.

In 36 seconds

• C.

In 32 seconds

• D.

In 27 seconds

B. In 36 seconds
Explanation
The two lights flash at different intervals, with one flashing every 9 seconds and the other flashing every 12 seconds. In order for both lights to flash at the same time, there needs to be a common multiple of both intervals. The least common multiple of 9 and 12 is 36. Therefore, both lights will flash again at the same time after 36 seconds.

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• 8.

### Which list below shows the complete list of the factors of 30?

• A.

30, 60, 90, 120, ...

• B.

1, 2, 5, 6, 30

• C.

1, 2, 3, 5, 6, 10, 15, 30

• D.

None of the above

C. 1, 2, 3, 5, 6, 10, 15, 30
Explanation
The factors of a number are the numbers that can evenly divide it without leaving a remainder. To find the factors of 30, we can divide it by different numbers and check if there is no remainder. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30 because they can all divide 30 without leaving a remainder. The list "1, 2, 3, 5, 6, 10, 15, 30" is the complete list of factors of 30.

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• 9.

### A triangle has a base of 6 cm and a height of 15 cm.What is its area?

• A.

45 sq. cm

• B.

90 sq. cm

• C.

45 cm.

• D.

Not enough information is given to solve the problem

A. 45 sq. cm
Explanation
The area of a triangle is calculated by multiplying the base length by the height and dividing the result by 2. In this case, the base length is given as 6 cm and the height is given as 15 cm. Therefore, the area of the triangle is (6 cm * 15 cm) / 2 = 45 sq. cm.

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• 10.

### Use the words "less than" or "greater than" to complete the math sentence below:5 / 8 is ___________  6 / 10

greater than
Greater Than
Greater than
GREATER THAN
Explanation

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• 11.

### Use the words "less than" or "greater than" to complete the math sentence below:3 / 8 is ___________  3 / 12

greater than
Greater Than
Greater than
GREATER THAN
Explanation

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• 12.

### Compute the following:11.46 + 32.917 =

• A.

• B.

340.63

• C.

34.063

• D.

44.377

D. 44.377
Explanation
if you chose A, you are good at estimating, but this problem asked you to find the exact answer.

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• 13.

### Compute the following:8.29 - 3.112

• A.

5.178

• B.

5.182

• C.

11.402

• D.

A. 5.178
Explanation
if you chose C or D you should try this again, make sure you do what the question is asking you to do!

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• 14.

### Compute the following:12.3 x 4.2

• A.

16.5

• B.

516.6

• C.

51.66

• D.

C. 51.66
Explanation
If you chose A or D, make sure you are doing what the problem is asking you to do!

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• 15.

### Compute the following:36.8 divided by 0.8 =

• A.

46

• B.

4.6

• C.

0.0217

• D.

I don't know how to divide with decimals

A. 46
Explanation
If you chose C, try changing the number that you put inside the division symbol. If you chose D, when are you going to learn?

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• 16.

### There are 32 students in Mr. Doyle's class.  3/8 are boys.  How many boys are in Mr. Doyle's class?

• A.

14

• B.

12

• C.

8

• D.

6

B. 12
Explanation
Since 3/8 of the students are boys, we can find the number of boys in Mr. Doyle's class by multiplying the total number of students (32) by the fraction 3/8. This calculation gives us (32 * 3/8) = 12 boys. Therefore, there are 12 boys in Mr. Doyle's class.

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• 17.

### Find the product of two-fifths times four-ninths.  (multiply)

• A.

45 / 8

• B.

18 / 20

• C.

0.176

• D.

8 / 45

D. 8 / 45
Explanation
If you chose C, this is a good approximation, but multiplying fractions is more accurate than multiplying decimals (for this problem).

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• 18.

### Multiply  3 and one-half by 4 and one-half.

• A.

15 and 3/4

• B.

14

• C.

13 and 1/2

• D.

12 and 1/4

A. 15 and 3/4
Explanation
If you chose D, you forgot to do about half of the steps for this problem!

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• 19.

### Which statement below agrees with information given in the bar graph?

• A.

Chocolate is preferred by more people than vanilla and strawberry COMBINED.

• B.

One-half of the people prefer chocolate ice cream.

• C.

25% of the people prefer vanilla ice cream.

• D.

One-third of the people prefer strawberry ice cream.

D. One-third of the people prefer strawberry ice cream.
Explanation
The correct answer is "One-third of the people prefer strawberry ice cream." This statement agrees with the information given in the bar graph because it indicates that the proportion of people who prefer strawberry ice cream is one-third, which is less than the proportion of people who prefer chocolate ice cream.

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• 20.

81
Explanation
To find 45% of 180, we multiply 180 by 0.45 (which is the decimal equivalent of 45%). This calculation gives us 81. Therefore, the answer is 81.

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• Current Version
• Mar 21, 2023
Quiz Edited by
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• Mar 15, 2010
Quiz Created by
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