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Math 9 Quiz

Total questions: 25

Worksheet time: 27mins

Name
Class
Date
1.

One of the roots of 2x2 - 3x - 9 = 0 is 3. What is the other root?

a)

a. 2/3

b)

b. 3/2

c)

c. - 2/3

d)

d. - 3/2

2.

The length of a garden is 5m longer than its width and the area is 36 m2 How long is the garden?

a)

a. 4m

b)

b. 5m

c)

c. 9m

d)

d. 13m

3.

The vertex of the quadratic equation f(x) = (x + 1)2 - 2 is

a)

a. (1, -2)

b)

b. (-1,2)

c)

c. (1, -2)

d)

d. (-1, -2)

4.

The sum of the zeroes of quadratic function y=-3x2 - 2x + 5 is

a)

a. 2/3

b)

b. -2/3

c)

c. 3/2

d)

d. -3/2

5.

Consider the quadratic function f(x) = (x + 3) 2 + 2, the axis of symmetry of the function is

a)

a. x = 3

b)

b. x = -3

c)

c. x = 2

d)

d. x = -2

6.

The diagonals of a rectangle have lengths 5x - 11 and 2x + 25. Find the lengths of the diagonals.

a)

a. 12

b)

b. 24

c)

c. 49

d)

d. 60

7.

The lengths of the sides of a triangle are 4 cm, 5 cm, and 6 cm. What kind of triangle is it?

a)

a. Regular triangle

b)

b. Acute triangle

c)

c. Right triangle

d)

d. Obtuse triangle

8.

Which of the following statements ensures that a quadrilateral is a parallelogram?

a)

a. Diagonals bisect each other

b)

b. The two diagonals are congruent

c)

c. Two consecutive sides are congruent

d)

d. Two consecutive angles are congruent

9.

How many congruent triangles are formed when a diagonal of parallelogram is drawn?

a)

a. complementary

b)

b. supplementary

c)

c. congruent

d)

d. adjacent

10.

Base angles of an isosceles trapezoid are

a)

a. complementary

b)

b. supplementary

c)

c. congruent

d)

d. adjacent

11.

A quadrilateral with exactly one pair of parallel sides

a)

a. square

b)

b. rectangle

c)

c. trapezoid

d)

d. rhombus

12.

What theorem will you use to find the diagonal of a 10 cm by 8 cm rectangle?

a)

a. Right Triangle Proportionality Theorem

b)

b. Pythagorean Theorem

c)

c. Triangle Proportional Theorem

d)

d. Triangle Angle Bisector Theorem

13.

How many real roots does the quadratic equation 3x2 + 7x + 10 = 0 have?

a)

a. 0

b)

b. 1

c)

c. 2

d)

d. 3

14.

Which of the following is the standard form of quadratic equations?

a)

a. ax2 + bx + c < 0

b)

b. ax2 + bx + c = 0, a \ne  0

c)

c. Ax + By + C = 0

d)

d. y = mx + b

15.

Which of the following mathematical statements is a quadratic inequality?

a)

a. 5t2 - r - 20 = 0

b)

b. 9h + 18 < 0

c)

c. 4x2 + 2x - 2 \ge  0

d)

d. m2 + 9m + 16 = 0

16.

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

a)

a. The roots are not real

b)

b. The roots are irrational and not equal

c)

c. The roots are rational and not equal

d)

d. The roots are rational and equal.

17.

The roots of a quadratic equation are -4 and -5. Which of the following quadratic equations has these roots?

a)

a. x2 + x - 20 = 0

b)

b. x2 - x + 20 = 0

c)

c. x2 + 9x + 20 = 0

d)

d. x2 - 9x + 20 = 0

18.

What is the value of sec 25?

a)

a. 1.10

b)

b. 1.3

c)

c. 1.2

d)

d. 1.5

19.

What is the value of sin 20?

a)

a. 1.34

b)

b. 0.34

c)

c. 2.34

d)

d. 1.43

20.

From 2004 through 2012, the average weekly income of an employee in a certain company is estimated by the quadratic expression 0.15n2 + 3.35n + 2220, where n is the number of years after 2004. In what year was the average weekly income of an employee equal to P2,231.40?

a)

a. 2004

b)

b. 2005

c)

c. 2006

d)

d. 2007

21.

It takes Darcy 6 days more to paint a house than jimboy. If they work together, they can finish the same job in 4 days. How long would it take Darcy to finish the job alone?

a)

a. 3 days

b)

b. 4 days

c)

c. 10 days

d)

d. 12 days

22.

Evaluate: 2 sin 30 + 4 cos 60 - 3 cot 45 + sec 45

a)

a. \sqrt[]{}  2

b)

b. 0

c)

c. \sqrt[]{}  3

d)

d. 1

23.

An airplane takes off at a constant angle in a straight line. If it has travelled 1000 feet of ground distance when it is 200 feet in the air, how far has it travelled in the air at that time?

a)

a. 1019.8 ft

b)

b. 1019.9 ft

c)

c. 1018.8 ft

d)

d. 1018.8 ft

24.

From a point in the ground 7.62 m from the foot of the tree, the angle of elevation from the top of the tree is 32. Determine the height of the tree to the nearest hundredths.

a)

a. 3.81

b)

b. 6.46

c)

c. 4.76

d)

d. 12.19

25.

In the quadratic equation 5w2 + 9w - 10 = 0, which is the quadratic term?

a)

a. w2

b)

b. 9w

c)

c. 5w2

d)

d. -10