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MATHEMATICS 9 - ELIMINATION ROUND

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

It is a polynomial equation of degree 2 that can be written in the form of ax2+bx+c=0; where a, b, and c are real numbers and c not equal to zero.

a)

Linear Equation

b)

Linear Inequality

c)

Quadratic Equation

d)

Quadratic Inequality

2.

What number must be added to x2 – 30x + _____ to make it a perfect square trinomial?

a)

144

b)

196

c)

225

d)

256

3.

What is the nature of the roots of a quadratic equation if the value of its discriminant is zero?

a)

The roots are not real

b)

The roots are rational and equal

c)

The roots are irrational and equal

d)

The roots are irrational and not equal

4.

The cost c of caimito varies directly as its weight w. this relationship is written as

a)

c = kw

b)

k = cw

c)

w = k/c

d)

c = k/w

5.

Which is an example of direct variation?

a)

xy = 5

b)

y = 5/x

c)

y = 2x   

d)

3/y = x

6.

Which is an example of joint variation?

a)

y = 5x

b)

xy = 5

c)

a = 3bc

d)

3/y = x

7.

a quadrilateral with exactly one pair of parallel sides is known as _____

a)

square

b)

rectangle

c)

trapezoid

d)

kite

8.

Which of the following is NOT a parallelogram?

a)

rectangle

b)

rhombus

c)

square

d)

trapezoid

9.

The comparison of two or more quantities is known as _____

a)

ratio

b)

proportion

c)

theorem

d)

postulate

10.

If two ratios are equal, then it is called a _____

a)

proportion

b)

theorem

c)

postulate

d)

similarity

11.

To complete the square in the equation x2 + 6x = 1, what must be added to both sides of the equation?

a)

3

b)

9

c)

10

d)

35

12.

What is the nature of the roots of a quadratic equation if the value of its discriminant is negative?

a)

The roots are not real

b)

The roots are rational and equal

c)

The roots are rational and not real

d)

The roots are irrational and not equal

13.

In r = 10/t, what is the value of the constant k?

a)

5

b)

10

c)

15

d)

20

14.

What happens to T when H is doubled in the equation T = 4h?

a)

T is doubled

b)

T is tripled

c)

T is halved

d)

T becomes zero

15.

Which of the following statements is TRUE?

a)

A trapezoid can have four equal sides

b)

A trapezoid can have three right angles

c)

Base angles of an isosceles trapezoid are congruent

d)

Diagonals of an isosceles trapezoid bisect each other

16.

What are the roots of the quadratic equation x2 – 3x – 10 = 0?

a)

1 and 5

b)

-2 and 5

c)

-10 and 1

d)

10 and -1

17.

If the area of a rectangle is given by the expression x2 + 4x + 3 and the width is x+3, what is the length?

a)

x + 1

b)

x + 2

c)

x - 1

d)

x – 2

18.

If x and y are nonnegative real numbers, what is square root of 25x4y6 ?

a)

y/5x

b)

5xy

c)

5x3y2

d)

5x2y3

19.

If 3 men can do a portion of a job in 8 days, how many men can do the same job is 6 days?

a)

3

b)

4

c)

5

d)

6

20.

The diagonals of a kite have lengths 8cm and 12cm. Find its area.

a)

45cm2

b)

46cm2

c)

47cm2

d)

48cm2