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math algebra

Total questions: 70

Worksheet time: 2hrs 33mins

Name
Class
Date
1.

To which real number set do the following real numbers belong?

a)

Irrational Numbers

b)

Natural Numbers

c)

Rational Numbers

d)

Integers

2.
Which answer has the integers in order from least to greatest?
a)
− 9,   -5,  -3, 0,  4,  3
b)
− 9,   -5,  -3, 0,  3,  4
c)
− 5,   -9,  -3, 0,  4,  3
d)
 3, 4, 0, -3, -5, -9
3.
Which shows the integers in order from greatest to least?
a)
20,6,-2,-13
b)
-2,6,-13,20
c)
-13,-2,6,20
d)
20,-13,6,-2
4.

List in order from greatest to least

12, -9, -6, 10, -18

a)

-18, 12, 9, 6, 10

b)

-6, -9, 10, 12, -18

c)

-18, -6, -9, 10, 12

d)

12, 10, -6, -9, -18

5.

8+(12)=-8+\left(-12\right)=  

a)

2020  

b)

4-4  

c)

20-20  

d)

44  

6.
What do we call a number less than zero?
a)
integer
b)
negative number
c)
whole number
d)
positive integer
7.

Choose the correct integer. A plane descends 50 feet.

a)

50

b)

-50

c)

0

8.

Choose the correct integer. Thomas dove 75 feet below sea level.

a)

75

b)

-75

c)

0

9.

Choose the integer that best describes the situation:

Ahmed made a deposit of $50 in his bank account.

a)

50

b)

-50

c)

0

10.

Choose the integer that best describes the situation: I owe $125 on my credit card.

a)

125

b)

-125

c)

0

11.
My math grade increased 4 points last nine weeks.
a)
positive
b)
negative
c)
both
d)
neither
12.
The miners descended 15 feet into the cave.
a)
positive
b)
negative
c)
both
d)
neither
13.

-4 + (-3) = ?

(a)  

14.

8 + (-2) = ?

(a)  

15.

Bob lost 5 bonus points on page one of his math test and he gained 9 points bonus on page two of his math test. Which equation best describes Bob progress on his math test?

a)

5 + 9 = 14

b)

-5 + 9 = 4

c)

-5 + (-9) = -14

d)

5 + (-9) = -4

16.

-10 + 10 =

(a)  

17.

If the temperature in Chicago is -5 degrees and the temperature in Moscow is 8 degrees colder. What is the temperature in Moscow?

a)

-3 degrees

b)

-13 degrees

c)

3 degrees

d)

13 degrees

18.

What is the value of | 7 |?

a)

7

b)

– | –7 |

c)

14

d)

–7

19.

-8 - 9

a)

1

b)

17

c)

-17

d)

-1

20.

 9=81-\sqrt{9}=-81  
Determine whether the statement is true or false

a)

True

b)

False

21.

 3=63=\sqrt{6}  
Determine whether the statement is true or false

a)

True

b)

False

22.

 169\sqrt{169}  


Determine the square root.



(a)  

23.

Amy has a square bedroom. It has an area of 324 square feet. What is the length of each side of the room?

(a)  

24.

Compare 98     94.\frac{9}{8}_{ }\ \ \ \ \ \frac{9}{4}.  

a)

<<  

b)

>>  

c)

==  

d)

\ge  

25.

What is the highest common factor of 20, 30 and 40?

a)

10

b)

5

c)

15

d)

25

26.

Which are the factors of 18?

a)

1, 2, 3, 6, 9, 18

b)

1, 3, 9, 28

c)

2, 3, 4, 5, 6, 20     

d)

2, 3, 5, 9, 18, 27

27.

HCF (30, 45)

(a)  

28.

HCF (28, 35)

(a)  

29.

Find the HCF of 32 and 80.

a)

8

b)

16

c)

24

d)

32

30.

17 is a PRIME NUMBER because it has just ___ factors: ___ and ___.

a)

2, 5, 7

b)

two, itself, 1

c)

2, 15, 2

d)

2, 8.5, 2

31.

Ben exercises every 12 days and Isabel every 8 days. Ben and Isabel both exercised today. How many days will it be until they exercise together again?

a)

4

b)

6

c)

12

d)

24

32.

Rosa is making a game board that is 16 inches by 24 inches. She wants to use square tiles. What is the larges tile she can ued?

a)

8

b)

16

c)

24

d)

48

33.

2) Mrs. Evans has 120 crayons and 30 pieces of paper to give to her students. What is the largest number of students she can have in her class so that each student gets equal number of crayons and equal number of paper.

a)

120 students

b)

60 students

c)

30 students

34.

Four bells ring after 9,12 and 15 minutes respectively.If they ring together at 3pm together, when will they ring together again?

a)

4pm

b)

5pm

c)

6pm

d)

7pm

35.

Two bikers are riding a circular path. The first rider completes a round in 12 minutes. The second rider completes a round in 18 minutes. If they both started at the same place and time and go in the same direction, after how many minutes will they meet again at the starting point?

a)

4 minutes

b)

8 minutes

c)

12 minutes

d)

24 minutes

36.

If p and q are whole numbers such that p x q = 43

Find the value of p + q.



(a)  

37.

The prime factorization of the number is given.

28 224=26×32 ×7228\ 224=2^6\times3^2\ \times7^2

Find its positive square root.

(a)  

38.

The LCM of 16 and 24.

(a)  

39.

The HCF of 42 and 48.

a)

168

b)

2

c)

6

d)

48

40.

Find the HCF of 21 and 28

a)

3

b)

4

c)

7

d)

14

41.

Which of the following numbers is not composite?

a)

24

b)

40

c)

66

d)

61

42.

What are the next three multiples? 6, 12, 18, ___ ,___ ,___

a)

24, 30, 34

b)

24, 36, 42

c)

24, 30, 36

d)

22, 28, 34

43.

Which of these numbers is not prime?

a)

17

b)

25

c)

23

d)

37

44.

Solve the following sum 3 x 2 + 15 =

a)

11

b)

21

c)

31

d)

23

45.

6 + 3 x 4 =

a)

12

b)

36

c)

18

d)

20

46.

What is the value of 3 + 6 ÷ 3 × 2 ?

a)

7

b)

4

c)

6

d)

1.5

47.
Lisa is making activity baskets to donate to charity.  She has 12 coloring books and 36 crayons.  What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?
a)
2
b)
12
c)
36
d)
6
48.
Peter has 18 oranges and 27 pears.  He wants to make fruit baskets with the same number of each fruit in each basket.  What is the greatest number of baskets he can make? 
a)
3
b)
18
c)
9
d)
27
49.

What is the value of 5 × 3 - 12 ÷ 4 + 8 ?

a)

3

b)

4

c)

14

d)

20

50.

39 - 6 x (7 - 2) + 32

a)

18

b)

30

c)

139

d)

384

51.
25% of 360 is ...
a)
30
b)
60
c)
90
d)
50
52.
60% of 160 is ...
a)
96
b)
69
c)
90
d)
59
53.
45% of 8 Kg is ....
a)
3,6 gr
b)
3600 Kg
c)
36 gr
d)
3,6 Kg
54.
75% of 24 hours is ...
a)
12 hours
b)
18 hours
c)
10 hours
d)
6 hours
55.
80% of 5600 people is
a)
4000 people
b)
4400 people
c)
5000 people
d)
4480 people
56.
What is the price after discount?
a)
$ 1480
b)
$ 1500
c)
$ 1580
d)
$ 1400
57.
What is the price after 7 % GST?
a)
$ 3000
b)
$ 3100
c)
$ 3200
d)
$ 3103
58.
Mr Lukman sets aside a budget of $ 1000 to buy a home theatre system. The price of a home theatre system before GST is $900. How much will be the remaining money after Mr Lukman buy the home theatre?
a)
$0
b)
$25
c)
$36
d)
$63
59.

Express each of the following as a percentage

8 out of 100

Ans: (a)   %

60.

Express the fraction as a percentage

40/100

Ans: (a)   %

61.

Which one is co-prime numbers?

a)

3 & 9

b)

7 & 21

c)

8 & 27

d)

4 & 10

62.

Rajesh got 9 out of 10 in maths. What is the percentage of marks that he got?

a)

9℅

b)

10℅

c)

100℅

d)

90℅

63.

Find 30℅ of 800 = ____

a)

240

b)

560

c)

800

d)

2400

64.

What is the predecessor of even prime number?

a)

4

b)

3

c)

1

d)

0

65.
What percentage is equivalent to 3/10 ?
a)
30%
b)
3%
c)
33%
d)
300%
66.

Which percent is equivalent to decimals 0.6 ?

a)

60%

b)

6%

c)

600%

d)

0.6%

67.

Which percent is equivalent to fraction 1/4 ?

a)

25%

b)

20%

c)

40%

d)

75%

68.

The ratio of small Wallet to big Wallet is 4 : 5


What is proportion of the Wallets are big?

a)

5/4

b)

4/5

c)

4/9

d)

5/9

69.

In the expression 6x - 10 + 5x - 11x what are the like terms?

a)

10

b)

6x

c)

5x

d)

11x

e)

6x, 5x, and 11x

70.

In the expression 12y - 52r + 13 what are the coefficients?

a)

12 and 13

b)

52 and 13

c)

12 and 52

d)

12, 52, and 13