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Worksheets

Grade 9 (Pre-Assessment)

Total questions: 15

Worksheet time: 9mins

Name
Class
Date
1.

Who is the Father of Modern Mathematics?

a)

Euclid

b)

Euler

c)

Rene Descartes

d)

Ronald Fisher

2.

Branch of Mathematics that deals with numbers and the basic operations.

a)

Algebra

b)

Arithmetic

c)

Geometry

d)

Statistics

3.

The mathematical name for the division sign.

a)

Quotient

b)

Obelus

c)

Vinculum

d)

Virgule

4.

the rectangle has a length of 15 inches and Perimeter P inches. Which equation could be used to find he width of the rectangle?

a)

P=15+w2P=15+\frac{w}{2}

b)

P=30+2wP=30+2w

c)

P=15wP=15-w

d)

P=302wP=30-2w

5.

Kai has fifteen dollars to spend on his cab fare. There is a $3 initial fare and an additional $2.15 per mile. Write an inequality to represents how Kai can travel if he can't spend over fifteen dollars on cab fare.

a)

3x+2.15>153x+2.15>15

b)

3+2.15x>153+2.15x>15

c)

3x+2.15<153x+2.15<15

d)

3+2.15x<153+2.15x<15

6.

. What is the value of x in the equation:  3x+2(x1)=x+103x+2\left(x-1\right)=x+10 ?

(a)  

7.

What is the greatest common factor (GCF) of the trinomial:  6x5y4+24x6y236x3y36x^5y^4+24x^6y^2-36x^3y^3 ?

a)

 6xy6xy  

b)

 6x3y6x^3y  

c)

 6x3y26x^3y^2  

d)

 6x4y46x^4y^4  

8.

Which mathematical statement is not correct?

a)

(2xy)(3xy)=6x25xy+y2\left(2x-y\right)\left(3x-y\right)=6x^2-5xy+y^2

b)

(3x4)(2x+7)=6x213x28\left(3x-4\right)\left(2x+7\right)=6x^2-13x-28

c)

(4x5)(4x5)=16x240x+25\left(4x-5\right)\left(4x-5\right)=16x^2-40x+25

d)

(2x+5)2=4x2+20x+25\left(2x+5\right)^2=4x^2+20x+25

9.

Which of the following gives a product of  x2+5x+4x^2+5x+4 

a)

 (x+1)(x+4)\left(x+1\right)\left(x+4\right)  

b)

 (x+5)(x1)\left(x+5\right)\left(x-1\right)  

c)

 (x+2)2\left(x+2\right)^2  

d)

 (x2)2\left(x-2\right)^2  

10.

The area of a square is  4x2+12x+94x^2+12x+9  square units. Which expression represents the length of the side?

a)

 (3x+2) units\left(3x+2\right)\ units  

b)

 (4x+9) units\left(4x+9\right)\ units  

c)

 (2x+3)units\left(2x+3\right)units  

d)

 (4x+3) units\left(4x+3\right)\ units  

11.

 (x+    )(3x+   )=3x2+27x+24\left(x+\ \ \ \ \right)\left(3x+\ \ \ \right)=3x^2+27x+24  

a)

 6 and 46\ and\ 4  

b)

 8 and 38\ and\ 3  

c)

 4 and 64\ and\ 6  

d)

 12 and 212\ and\ 2  

12.

Find the product of  (924)(m2n)\left(\frac{9}{24}\right)\left(\frac{m^2}{n}\right) .

a)

 3m26n\frac{3m^2}{6n}  

b)

 3m28n\frac{3m^2}{8n}  

c)

 m26n\frac{m^2}{6n}  

d)

 m28n\frac{m^2}{8n}  

13.

 (r2+6r+92r+6)(44r+12)\left(\frac{r^2+6r+9}{2r+6}\right)\left(\frac{4}{4r+12}\right)  

a)

 r+3r+3  

b)

 14\frac{1}{4}  

c)

 13\frac{1}{3}  

d)

 12\frac{1}{2}  

14.

 (r2+r62r2+14r+24)÷(r26)\left(\frac{r^2+r-6}{2r^2+14r+24}\right)\div\left(\frac{r-2}{6}\right)  

a)

 3r+4\frac{3}{r+4}  

b)

 6r2\frac{6}{r-2}  

c)

 3r+2\frac{3}{r+2}  

d)

 6r4\frac{6}{r-4}  

15.

What is the quotient if the divisor is 3c3c   and the dividend is  3c23cc21\frac{3c^2-3c}{c^2-1}  ?

a)

 c1c+1\frac{c-1}{c+1}  

b)

 c+1c1\frac{c+1}{c-1}  

c)

 1c+1\frac{1}{c+1}  

d)

 1c1\frac{1}{c-1}