Exam (elaborations) Math problems Grade 9

Free ACT Maths Test
Practice Questions with
Answers
sample 1
Sixty Maths questions, with answers and detailed solutions,
similar to the questions in the ACT maths test. The answers are
at the bottom of the page



1 4 x 10-5 =
A) - 40,000
B) - 200
C) 0.0004
D) 0.00004
E) 0.20


2. Which of the following is equivalent to (x)(x)(x)(x3), for
all x?
A) 4x
B) 6x
C) x6
D) 4x6
E) 4x


3. There are 15 balls in a box: 8 balls are green, 4 are
blue and 3 are white. Then 1 green and 1 blue balls
are taken from the box and put away. What is the
probability that a blue ball is selected at random from
the box?
A) 3/13

, B) 4/15
C) 3/15
D) 4/13
E) 2/13



4. The length of a rectangle is 3 times its width. If the
width of the rectangle is 5 inches, what is the
rectangle's area, in square inches?
A) 15
B) 20
C) 30
D) 75
E) 40



5. For all x >2, (2x2 + 2x - 12) / (x - 2) simplifies to
A) 2(x - 2)
B) x + 3
C) 2(x + 3)(x - 2)
D) x - 2
E) 2(x + 3)



6. If the hypotenuse of a right triangle is 10 inches long
and one of its legs is 5 inches long, how long is the
other leg?
A) 5
B) 5√3
C) 5√5
D) 75
E) 10 - √5


7. In the standard (x,y) coordinate plane, the graph of (x +
3)2 + (y + 5)2 = 16 is a circle. What is the circumference
of the circle, expressed in coordinate units?

, A) 4π
B) 5π
C) 3π
D) 8π
E) 25π




8. How many solutions are there to the equation x2 - 7 = 0?
A) 1
B) 2
C) 4
D) 7
E) 14



9. A circle with center (4,-5) is tangent to the y-axis in the
standard (x,y) coordinate plane. What is the radius of this
circle?
A) 4
B) 5
C) √(41)
D) 16
E) 25


10. Angle A is an acute angle and sin(A) = 11/14. What is
the value of cos(A)?
A) 3/14
B) √
C) 5√
D) √(3/14)
E) 5/14


11. What are the values of a and b, if any, where - a|b +
4| > 0?
A) a > 0 and b ≠ -4