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6th grade Math Final

Total questions: 50

Worksheet time: 3hrs 40mins

Name
Class
Date
1.

20 x 2 - (10 - 4)

(a)  

2.
Which operation is performed SECOND?
44 ÷ 2 X (3 -1)
a)
muliplication X
b)
division ÷
c)
subtraction -
3.
Which is equivalent to 34
a)
27
b)
9
c)
81
d)
12
4.

4(8) ÷ (8 − 6)

(a)  

5.
PEMDAS only works if....
a)
You add then subtract
b)
You subtract then add
c)
add or subtract right to left
d)
add or subtract left to right
6.

5 + (2+1)3

(a)  

7.
What do you get when you multiply a negative by a positive?
a)
Positive
b)
Negative
8.
What do you get when you multiply a negative by a negative?
a)
Positive
b)
Negative 
9.

22\frac{2}{2}  

Evaluate:

a)

1

b)

2

c)

0

d)

4

10.

Express the situation with an integer:

a bank withdraw of $100

(a)  

11.
If there are 5 boys and 7 girls, write the ratio of girls to boys.
a)
5 to 7
b)
7 to 5
c)
5 to 12
d)
7 to 12
12.
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
a)
2 to 5
b)
5 to 3
c)
3 to 5
d)
5 to 2
13.

There are 4 birds and 6 snakes. What is the ratio of birds to snakes?

a)

6/4

b)

4/6

c)

1/3

d)

10/16

14.
Patrick has 2 black, 3 red, and 5   white toy cars. What is the ratio of red toy cars to all the toy cars? 
a)
3:5
b)
1:3
c)
3:11
d)
3:10
15.

Which of the following best describes what a ratio is?

a)

It's a comparison.

b)

It's a total.

c)

It's something multiplied by something else.

d)

It's a decimal.

16.

add these fractions

a)

6/6

b)

6/12

c)

5/6

d)

6/36

17.

Write the mixed number as an improper fraction

7 5/11

(a)  

18.

Write the mixed number as an improper fraction

2 3/5

(a)  

19.
1/2 x 3/4
a)
3/8
b)
4/6
c)
3/4
d)
3/6
20.
3/4 x 1/6
a)
1/8
b)
5/24
c)
4/10
d)
3/10
21.
Divide and simplify if possible.
a)
¹ / ₂ ₄ 
b)
c)
d)
² / ₁ ₁
22.
Divide and simplify if possible.
a)
1 ½
b)
c)
d)
- ⅔
23.

What is the formula for the area of a triangle?

a)

A = 1/2 bh

b)

A = bh

c)

A = s + s + s

24.

Find the area of the triangle.

a)

30 m2

b)

60 m2

c)

16 m

d)

30 m

25.

Find the area of the triangle.

a)

96 in2

b)

48 in2

c)

20 in2

26.

What is the height of this trapezoid?

a)

12 cm

b)

14 cm

c)

22 cm

27.

Solve: 

2x+6=142x+6=14  

a)

x = 4

b)

x = 10

c)

x = -4

d)

x = 3

28.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
29.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
30.

What is the solution of 6d = 24

a)

d = 4

b)

d = 5

c)

d = 18

d)

d = 144

31.
Which equation has x=9 as a solution
a)
4 + x = 12
b)
5x = 45
c)
2x = 20
d)
x + 7 = 26
32.
What is the mean of these numbers?
4,5,5,2,3,3,2,8
a)
40
b)
24
c)
4
d)
256
33.

Calculate the mean.

2, 9, 10, 6, 8

a)

8

b)

4

c)

7

d)

22

34.
What is the definition of the mean?
a)
The average
b)
The middle number
c)
The difference between the highest and lowest numbers
d)
The number that occurs the most
35.
When finding the median, what do you do if there are two middle numbers?
a)
Add them together and divide by 2
b)
Write them both as the answer
c)
Give up
d)
Pick one
36.
The number of miles that Kiki cycled each week for a 7-week period is shown: 
36, 42, 28, 52, 48, 36, 31 
What is the median number of miles Kiki cycled?
a)
24
b)
36
c)
39
d)
52
37.
In order to find the median, the data must be sorted from least to greatest first.
a)
True
b)
False
38.
The mode score on the 6th grade math test was 94! Which of these interpretations must be correct?
a)
99 was the highest score on the test.
b)
More students received a 94 than any other score
c)
No student scored below a 50
d)
A score of 91 was slightly below average.
39.
Lizzy had test scores of:   72, 94, 108, 60
What is the RANGE of her test scores?
a)
12
b)
72
c)
48
d)
98
40.

What is the range?

a)

The sum of the largest and smallest number

b)

The number in the middle

c)

The difference between the largest and smallest number

d)

The number that appears most often

41.
2. Which of the following best describes the process of finding the interquartile range for a set of data?
a)

Add the biggest and smallest numbers.

b)

Place the numbers in order from least to greatest and find the middle.

c)

Find the difference between the maximum and the minimum.

d)

Subtract the median of the upper quartile and the median of the lower quartile. Q3 - Q1

42.

What is the measure of angle A? ( Hint- this is a straight angle).

a)

30o

b)

80o

c)

75o

d)

60o

43.

Calculate the missing measurement

a)

85 degrees

b)

90 degrees

c)

25 degrees

d)

45 degrees

44.

Hint Straight line

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

e)

x = 62

45.

Evaluate the following: 741

a)

1

b)

0

c)

74

d)

Impossible

46.

What is the prime factorization of 120 using exponents?

a)

10*121

b)

2 * 2 * 2 * 3 * 5

c)

22 * 5 * 6

d)

23 * 3 * 5

47.
2 x 2 x 2 is the prime factorization of
a)
6
b)
12
c)
22
d)
8
48.

What is the greatest common factor of 24 and 30?

(a)  

49.

Use a number tree to find the prime factorization of 42

a)

4 x 4 x 3

b)

7 x 3 x 2

50.

Which is the prime factorization of 24?

a)

2 x 2 x 2 x 5

b)

2 x 2 x 2 x 3