MATH QUIZ FOR 9TH GRADE

Problem 1 :

The scientific notation of the number 0.00005896 is

(A) 5.896 x 10^-5    (B) 5896 x 10⁵      (C) 58.96 x 10^-4

Solution

Problem 2 :

The decimal form of the number 5.243 × 10^-6  is

(A) 5.243     (B) 0.000005243     (C) 0.05243

Solution

Problem 3 :

Which of the following is the decimal expansion of 10/3?

(A) 333.33……… (B) 33.333……… (C) 3.3333………

Solution

Problem 4 :

Find the value of log₅ 5.

(A) 2     (B) 0      (C) 1

Solution

Problem 5 :

Which of the following is an irrational number between 1/7 and 2/7?

(A) 0.3500…     (B) 0.4501…     (C) 0.1501…

Solution

Problem 6 :

If U  =  {x/x < 10, x∈N},

A  =  {x/x < 9, x is even N}

B  =  {x/x ≤ 8,x is prime N},

find  A - B

(A) {4}    (B) {4, 6, 8}     (C) {6, 8}

Solution

Problem 7 :

2 √2 + 5 √3 and √2 - 3 √3

(A) √3 - 2√2      (B) √2 + 2 √3      (C) √2 - 2 √3

Solution

Problem 8 :

Simplify (5 + √5) (5 - √5)

(A) 10     (B) 5    (C) 20

Solution

Problem 9 :

What is the degree of the polynomial 2 - y² - y³ + 2y⁸

(A) 8      (B) 2      (C) 3

Solution

Problem 10 :

What is the value of the polynomial

p(x)  =  5x² - 3 x + 7 at x = 1 ?

(A) 8      (B) 9        (C) 6

Solution

Problem 11 :

Marcus leans a 12 ft ladder against a wall to clean a window. If the base of the ladder is 3 feet away from the wall, how high up the wall does the ladder reach ?

Solution

Problem 12 :

The graph of the line x + y = 7 intersect the x-axis at 

a)  (7, 0)   b) (0, 7)    c)  (-7, 0)     d) (0, -7)

Solution

Problem 13 :

If x + 2a is a factor of x⁵ - 4a²x³ + 2x + 2a + 3, find a.

Solution

Problem 14 :

In the lines XY and MN intersect each other at point O. If <POY = 90 and a : b = 2 : 3, then the value of <c is

a)  140   b)  126    c)  80    d)  95

Solution

Problem 15 :

The function f(x) = x was transformed to form g(x) = f(x) − 23. Which statement is true about the graphs of f and g?

a) The graphs of f and g are not parallel, and the graph of f is translated 23 units up to create the graph of g.

b)  The graphs of f and g are not parallel, and the graph of f is translated 23 units down to create the graph of g.

c)  The graphs of f and g are parallel, and the graph of f is translated 23 units up to create the graph of g.

d)  The graphs of f and g are parallel, and the graph of f is translated 23 units down to create the graph of g.

Solution

Problem 1 :

Find the value of a² if the value of a is

Solution

Problem 2 :

If the length of the sides of a triangle are 11 cm, 60 cm and 61 cm, find the area of the triangle.

Solution

Problem 3 :

At a gathering of  30 people, there are 20 people who all know each other and 10  people who know no one. People who know each other hug, and people who do not know each other shake hands. How many handshakes occur within the group ?

Solution

Problem 4 :

Simplify log₃27 + log₃729 

Solution

Problem 5 :

If A and B be two sets. If every elements of A is also an element of B, then A is called a ____________ of B.

Solution

Problem 6 :

If A = { 1, 2, 3, 4, 5, 6 } and B = { 1, 3, 7 } then the value of A-B ?

Solution

Problem 7 :

Find the product of (x + 3) (x + 5)

Solution

Problem 8 :

If 2a - 3b = 2 and ab = 6 then 8a³ - 27b³

Solution

Problem 9 :

A pair of angles with a common vertex and common arm are called _________.

Solution

Problem 10 :

Find in which quadrant does the point (-2,-3) lie?

Solution

Problem 11 :

The table gives the results of a survey of 200 people who were asked how often they see a movie in a theater. How many people responded either “never” or “almost never”?

A) 24     B) 53     C) 82     D) 118

Solution

Problem 12 :

What is the y-intercept of the line graphed?

A) (0, −8)    B) (0, -1/8)    C) (0, 0)    D) (0, 8)

Solution

Problem 13 :

Connor has c dollars and Maria has m dollars. Connor has 4 times as many dollars as Maria, and together they have a total of $25.00. Which system of equations represents this situation?

a) c = 4m, c + m = 25        b) m = 4c,  c + m = 25 

c) c = 25m, c + m = 4         d) m = 25c, c + m = 4

Solution

Problem 14 :

Line k is defined by y = 3x + 15. Line j is perpendicular to line k in the xy-plane. What is the slope of line j ?

a) − 1/3     b) − 1/12   c) − 1/18    d) − 1/45

Solution

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