Free Printable GRADE 9 ASSESSMENT

1.

If the product of two consecutive odd integers is 195, what is the sum of their squares?

a)

390

b)

394

c)

398

d)

402

2.

What is the last digit of $3^{1023}$ ?

a)

1

b)

3

c)

7

d)

9

3.

The sum of two numbers is 16. If one of the number is three times the other, what is their product?

a)

48

b)

52

c)

56

d)

60

4.

In parallelogram, two OPPOSITE angles have measures $\left(2x-5\right)\degree$ and $\left(3x\ +\ 2\right)\degree$ . Find x.

a)

$-5$

b)

$-7$

c)

-9

d)

$55\degree$

5.

A certain farmer only raises chicken and pigs. Altogether the animals have 35 heads and 104 legs. How many chicken does he have?

a)

15

b)

16

c)

17

d)

18

6.

How long is the hypotenuse of a right triangle if its two legs are 5cm and 12cm long?

a)

13

b)

15

c)

17

d)

19

7.

What is the constant in the expansion $\left(2x^2\ +\ 2\right)^6$

a)

32

b)

64

c)

70

d)

81

8.

If r and s are the roots of $2x^2\ -7x\ +\ 4\ =\ 0$ find the value of $\left(rs\right)^2$ .

a)

-4

b)

4

c)

8

d)

-8

9.

If the given figure is a 45-45-90 degree triangle, find the measure of the hypotenuse.

a)

37

b)

42

c)

47

d)

52

10.

Solve for x in $-4\ +\ \sqrt[]{3-x}\ =\ 0$ .

a)

-13

b)

13

c)

-19

d)

19

11.

It takes 20 hours for 9 painters to paint a house. How many hours will it takes for 30 painters?

a)

4

b)

5

c)

6

d)

7

12.

An angle of quadrilateral has measure a measure of $120\degree$ , while the others have degree measures in the ratio of 2:3:5. Find the measure of the smallest angle.

a)

24

b)

48

c)

60

d)

72

13.

Find a so that the zeros in $ax^2+bx\ -30$ are 3 and and -5.

a)

4

b)

6

c)

8

d)

10

14.

If x+y = 15 and xy=5, solve for $x^2+y^2$ ?

a)

125

b)

225

c)

325

d)

425

15.

Thrice a number plus the square root of the number is twelve plus the square root of the number. Find the number.

a)

4

b)

5

c)

6

d)

7

16.

What is the perimeter of a an equilateral triangle whose area is $50\sqrt[]{3}cm^2$ ?

a)

30cm

b)

$30\sqrt[]{2}$ cm

c)

10cm

d)

$10\ \sqrt[]{2}$

17.

Jeter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it take for them to mow the lawn together?

a)

24

b)

30

c)

32

d)

36

18.

Louise is 26 years old. Her daughter Carmen is 4 years old. In how many years will Louise be double her daughter’s age?

a)

18

b)

24

c)

28

d)

32

19.

A person has two parents, four grandparents, 8 grand-parents, and so on. How many ancestors does a person have 8 generations back

a)

512

b)

1024

c)

2046

d)

2048

20.

If f(2x-1) = x, what is f(2)?

a)

1/2

b)

3/2

c)

5/2

d)

7/2

21.

The angles of a quadrilateral are in the ratio of 1:3:3:5. Find its smallest angles.

a)

30

b)

45

c)

60

d)

75

22.

Rationalize the denominator of $\frac{\sqrt[]{15}-3}{\sqrt[]{5}-\sqrt[]{3}}$ and simplify.

a)

$\sqrt[]{3}$

b)

$\sqrt[]{5}$

c)

$\sqrt[]{5}+\sqrt[]{3}$

d)

$\sqrt[]{5}-\sqrt[]{3}$

23.

How many three-digit numbers less than can be formed with the digits 1, 2, 3, and 5 if repetition of digits is not allowed?

a)

12

b)

16

c)

20

d)

24

24.

If r and s are the roots of $x^2\ -\ 3x\ +\ 5\ =\ 0,\ find\ r\ +\ s\ -\ rs.$

a)

-2

b)

2

c)

-4

d)

4

25.

The diagonals of rhombus have lengths 10 and 14. What is the area?

a)

65

b)

70

c)

75

d)

80

26.

The sides of of the triangle have lengths 7, 11 and 16. Find the perimeter of similar triangle whose longest side is 24.

a)

48

b)

51

c)

54

d)

60

27.

How many triangles can be formed using 5 points no three of which are collinear?

a)

10

b)

12

c)

14

d)

16

28.

An equilateral triangle and square have the same perimeter. Find the area of the triangle if the area of the square is $36cm^2$ .

a)

16

b)

$16\ \sqrt[]{3}$

c)

20

d)

20

29.

If 3754B10 is divisible by 9, what is the value of B?

a)

5

b)

6

c)

7

d)

8

30.

What is $100^2\ -\ 90^2$ ?

a)

1900

b)

2000

c)

2020

d)

2040

GRADE 9 ASSESSMENT

Total questions: 30

Worksheet time: 23mins

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