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At a given point on the circle, how many line/s can be drawn that is tangent to the circle?
Only 1
Which of the following is a sum of two cubes?
a. x3 + 9 b. x3 – 1 c. x6 + 8 d. x6 + 16
c. x6 + 8
Which of the following is a perfect square trinomial?
a. x2 + 10xy + 100y2
b. x2 - 10xy + 100y2
c. x2 – 30xy + 100y2
d. x2 + 20xy + 100y2
d. x2 + 20xy + 100y2
A circle has center (3, -2) and passes through (7, 1). What is the length of the radius?
a) 4
b) 5
c) 6
d) 7
b) 5
If one factor of 4x2 – 25 is 2x – 5, what is the other factor?
The other factor is 2x + 5
The sum of the first n terms of a sequence is given by S = 3n^2 − n.
What is the 10th term of the sequence?
a) 59
b) 87
c) 290
d) 349
a) 59
A cube has surface area 150. If each side is increased by 50%, what is the new surface area?
a) 225
b) 275
c) 300
d) 337.5
337.5
If a⋆b=2a+3b, what is the value of (3⋆4)⋆2?
Hint: treat ⋆ as a new operator like + - / x .
a) 28
b) 32
c) 36
d) 42
d) 42
If one factor of (x^2−3x−10) is x + 2 , what is the other factor? Hint: remember that a quadratic expression such ax^2 + bx +c is equal to the product of two factors for example (cx +d)(mx +n).
(x - 5)(x + 2)
The lines y=mx+5 and y=(2m−1)x−3 are perpendicular. What is the value of m? Hint: when two straight lines are perpendicular the product of their gradients is -1.
a)1/3
b)-1/3
c) 3
d) -3
1/3
The mean of five numbers is 8. If one number is removed, the mean becomes 7. What was the number removed?
a) 9
b) 10
c) 11
d) 12
d) 12
If 3 cats catch 3 mice in 3 minutes, how many cats are needed to catch 100 mice in 100 minutes?
a) 3
b) 4
c) 5
d) 6
a) 3
If x + ( 1/x) =6
Then what is the value of X^4 + (1/x^4).
1154
A cylindrical tank of radius 7 cm contains water to a depth of 10 cm. A metal sphere of radius 3.5 cm is completely submerged. What is the new depth of the water (in cm)?
a) 10.5
b) 11.0
c) 11.5
d) 12.0
b) 11.0
Working together, two pipes can fill a tank in 4 hours. Alone, one pipe takes 6 hours longer than the other. How long does the slower pipe take alone?
a) 8 hours
b) 10 hours
c) 12 hours
d) 14 hours
12 hours
Find (x + y + z)/z.
7/3
What is the leading coefficient of the polynomial function f(x) = x – 2x^3 -4?
The leading coefficient is -2.
A boat travels 24 km downstream in 2 hours and returns upstream in 3 hours. What is the boat's speed in still water?
a) 8 km/h
b) 10 km/h
c) 12 km/h
d) 14 km/h
10
The sum of three consecutive odd numbers is 57. What is the product of these numbers?
a) 2145
b) 2185
c) 2225
d) 6783
d) 6783
If m and n are positive integers such that m^2+2n=50 and n^2+2m=50, what is the value of m+n?
a)2
b) 24
c) 32
d) 48
2