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Worksheets

Maths 6

Total questions: 57

Worksheet time: 2hrs 22mins

Name
Class
Date
1.

Find the missing angle.

a)

53

b)

67

c)

77

d)

43

2.

Find the missing angle.

a)

28

b)

32

c)

60

d)

38

3.
What is the value of "a"?
a)
75°
b)
65°
c)
55°
d)
85°
4.
What is the value of "a"?
a)
45
b)
55
c)
35
d)
65
5.

Which angles are vertical angles?

a)

∠8 & ∠7\angle8\ \&\ \angle7

b)

∠8 & ∠6\angle8\ \&\ \angle6

c)

∠8 & ∠5\angle8\ \&\ \angle5

6.

Find m∠2.m\angle2.  

a)

65°65\degree  

b)

180°180\degree  

c)

115°115\degree  

7.

In the expression 5y+r+6+75y+r+6+7  , how many terms are there?

a)

1

b)

2

c)

3

d)

4

8.

In the expression x2+6x+9x^2+6x+9  , which is the coefficient?

a)

2

b)

6

c)

9

d)

x

9.

Samantha has 3 more than 4 times as many books as Deanna. If Deanna has d books, how many books does Samantha have?

a)

3d+43d+4  

b)

3d−43d-4  

c)

4d+34d+3  

d)

4d−34d-3  

10.

Which expression is equivalent to 4t+3t4t+3t  ?

a)

7t27t^2  

b)

7+2t7+2t  

c)

7t7t  

d)

12t12t  

11.

Which expression is equivalent to b +b+b+bb\ +b+b+b  ?

a)

4b4b  

b)

b+4b+4  

c)

b4b^4  

d)

b−4b-4  

12.

Which expression is equivalent to 12x+20y12x+20y  ?

a)

3(4x+7y)3\left(4x+7y\right)  

b)

4(3x+5y)4\left(3x+5y\right)  

c)

6(2x+3y)6\left(2x+3y\right)  

d)

12(x+8y)12\left(x+8y\right)  

13.

Evaluate 2a2+3b−4a2a^2+3b-4a  when a=6a=6  and b=4b=4  

a)

12

b)

20

c)

48

d)

60

14.

Evaluate c2⋅2c÷d3+10c^2\cdot2c\div d^3+10  when c=8c=8  and d=4d=4  

a)

14

b)

26

c)

656

d)

4106

15.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
16.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
17.

Evaluate 6a x b + 2c if a = 3, b = 10, and c = 7

a)

19

b)

194

c)

180

d)

14

18.
A _____________ is a symbol, usually a letter that stands for a number. 
a)
coefficient
b)
algebraic expression
c)
variable
d)
term
19.
A(n) __________________ consists of one or more numbers, variables, and operations. 
a)
numeric expression
b)
term
c)
variable
d)
algebraic expression
20.
Which of the following is an example of an algebraic expression?
a)
3(2 + 7) - 10
b)
78 - 5 + 3
c)
3x + 6y
d)
8(3) - 5 + 2
21.
A(n) __________________ is a number and/or variable that is separated by addition or subtraction. 
a)
variable
b)
term
c)
coefficient
d)
expression
22.
A ______________ is a number multiplied by a variable. 
a)
term
b)
variable
c)
coefficient
d)
numerical expression
23.
How many terms are in the given expression?
52 + 7n - 2f  
a)
6
b)
5
c)
3
d)
2
24.
What is the coefficient of the following expression? 
7c + 8
a)
c
b)
7
c)
8
d)
1
25.
Simplify the expression:
4(x - 3) + 12
a)
4x - 12
b)
4x 
c)
4x - 3
26.
13 + 4(2x + 5) 
a)
13 + 8x
b)
8x + 33
c)
8x + 20 
27.
Simplify   6(x + -2)
a)
6x + -2
b)
6x + -12
c)
4x
d)
6x - 2
28.

Simplify 5(2 - 7n)

a)

52 - 57n

b)

10 - 7n

c)

10 - 35n

d)

10 + 35n

29.
Simplify the expression:
4x + 5 - 2x - 8
a)
6x + 3
b)
2x + 13
c)
2x - 3
d)
6x - 3
30.
Simplify the expression:
1/4(12x - 4)
a)
3x + 1
b)
48x - 16
c)
4x + 1
d)
3x - 1
31.
Simplify the expression:
3x - 5(-2 + 4x)
a)
-17x + 10
b)
23x - 10
c)
-17x - 10
d)
23x + 10
32.
What are the variables of 7x+6y-9
a)
6,7
b)
9
c)
6y, 7x
d)
x, y
33.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
34.

Simplify this expression:

-7w + (-6) + 5 + (-9w)

a)

-2w - 1

b)

-16w - 11

c)

-16w - 1

d)

-2w + 11

35.

Simplify this expression:

4.6x - 5.3x + 10.2y + 9 - 7.6

a)

0.7x + 10.2y +16.6

b)

-9.9x + (-10.2y) + 1.4

c)

-0.7x +10.2y 16.6

d)

-0.7x + 10.2y + 1.4

36.

1/2(8a - b +16)

a)

4a + 1/2b + 16

b)

8.5a + 1/2b + 16

c)

4a - 1/2b + 8

d)

4a + 1/2b - 8

37.

Use distributive property to expand this expression:


2w( - 4.5 - 2.7x)

a)

-9w - 2.7x

b)

2w - 4.5 - 2.7x

c)

-9w - 5.4x

d)

-9w - 5.4wx

38.
Starting money = $350.
Interest rate = 2.5%
TIme = 3 years.
How much interest?
a)
$7.50
b)
$26.25
c)
$87.5
d)
$262.50
39.
Emilio borrows $1200 from a bank with 8% simple interest per year.  How much will he have to pay back total in 2 years?
a)
$150
b)
$192
c)
$1350
d)
$1392
40.
Jerry borrowed $4,000 for 5 years at 6% simple interest rate. How much interest is that?
a)
$800
b)
$1,000
c)
$1,200
d)
$1,500
41.
The simple interest formula is I=Prt.  The P represents the principle.  The principle is ___________________.  
a)
the amount of money borrowed or deposited
b)
the percent interest for his year
c)
the amount taxed
d)
the amount the bank owes you for being a customer at their bank
42.
The rate is given as a percent (%).  Before using it in the simple interest formula, you must first convert it to a______.
a)
fraction
b)
decimal
c)
ratio
d)
dollar amount
43.
Anna invested $2,500 at an annual rate of 5%.  How long will it take until Anna earns $1,125 in interest?
a)
5 years
b)
8 years
c)
10 years
d)
9 years
44.
Javon has a credit card with a $1,583 balance. His interest rate is 8.8%. If he does not pay for 3 years, how much interest does he owe?
a)
$4,179
b)
$417.91
c)
$133,930
d)
$41,791
45.
Allison was left an inheritance from her Aunt Lisa. She can not touch the money until she is 21 years old, Allison is now 12 years old and inherited $50,000 that was put into an account with 2% interest. How many years until Allison is 21 years old?
a)
12
b)
21
c)
8
d)
9
46.
Allison was left an inheritance from her Aunt Lisa. She can not touch the money until she is 21 years old, Allison is now 12 years old and inherited $50,000 that was put into an account with 2% interest. How much interest will Allison have earned at her 21st birthday?
a)
$900
b)
$100,000
c)
$9,000
47.

You borrowed 43,800 at a SIMPLE interest rate of 4.8%. If you pay it back in 2 years, how much interest is paid pack?

a)

$464,280

b)

$85,848

c)

$4204.8

d)

$48,004.80

48.
The simple interest formula is I=Prt.  What does the t represent?
a)
Principle
b)
Interest
c)
Time
d)
Percent Rate
49.

Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?

a)

$150

b)

$192

c)

$1350

d)

$1392

50.
If you are calculating the simple interest and you are given the time in months.  How can you find the time in years?
a)
divide 12 by the months
b)
divide the months by 12
c)
multiply 12 times the months
d)
change the months to a decimal
51.
What is 7.25% converted to a decimal?
a)
.725
b)
0.725
c)
0.0725
d)
7.25
52.
Interest can be defined as:
a)
a charge for lending money
b)
the amount owed for borrowing money
c)
the amount added into your savings account when opening a bank account
d)
a charge for convenience of accessing money in your bank
53.
Starting money = $350.
Interest rate = 2.5%
TIme = 3 years.
How much interest?
a)
$7.50
b)
$26.25
c)
$87.5
d)
$262.50
54.

Calculate the interest. I = PRT,

Principal = $1000,

Rate = 6%,

Time = 2 years

a)

$100

b)

$120

c)

$180

d)

1200

55.
Calculate the interest.  I = PRT,
Principal = $10000,
Rate = 7%,
Time = 20 years

a)
1400
b)
1000
c)
14000
d)
14
56.
Ann puts $300 in a bank account earning 4% interest.  How much will she earn in interest in 1 year?
a)
4
b)
8
c)
12
d)
16
57.
Principal = $800
Interest Rate = 3.5%
Time = 6 months
Find the interest earned.
a)
14
b)
140
c)
168
d)
16.80