MASTERY TEST IN MATH IV
1.The discriptive title of our subject (MATH 4)
a.Elementary Algebra c.Geometry
b.Intermediate Algebra d.Advance algebra
Trigonometry and Statistics
2.If the range of a set of scores is 23 and the highest score is 88,
What is the lowest score?
a.65 c.71
b.67 d.78
3.Identify the mode of the ff. scores: 34,14,28,16,24,18,17,24.
a.16 c.19
b.18 d. 24
4.Calculate the median of the following scores:
178,22,24,6,10,7,33,7,26.
a.24 c.17
b.22 d.10
5.To answer the question “What is the most widely used bath soap”? Is to find …
a.variances c.median
b.mode d.mean
6.Convert 648° to radians:
a.22/3 π c.18/5π
b.16/7 π d.20/3π
7.Find the reference angle of 218°.
a.398° c.98°
b.128° d.38°
8.Which of the following is equal to sin 60°
a.sin(-420) c.sin 780
b.sin(-30) d.sin π/6
9.Find the polynomial equation whose roots are -2,-1,and 1
a.x2 -2x2+x+2 c.x3+2x2-x+2
b.x3-2x2-x+2 d.x3+2x2-x-2
10.What is the vertex of the parabola y=x2-3?
a.(3,0) c.(0,3)
b.(-3,0) d.(0,-3)
11.If f(x)=2x+1 and g(x)=3x find (f ₀ g)(x)
a.5x+1 c.x-6
b.6x=3 d.6x+1
12.Which of the following parabolas open upward?
a.y=4x2-2 c.y=-x2+1
b.x=4y2-2 d.x=-y2+2
13.Which of the ff. statements is not true?
a.Sin2A-Cos2A=1 c.Sin2A=(Sin A)SinA
b.Cos2A=1-Sin2A d.Sin A SecA=TanA
14.If x=-1/2 in the expression y=2x+4,then y is..
a.3 b.-3 c.4 d.-4
15.For a right triangle ABC,angle C=90°,the values of a and b are given,
which trigonometric function would you use to find angle B?
a.tangent c.cosine
b.sine d.cosecant
16.Point (1,0) lies in the graph of the function y=kx2-2,what is k?
a.3 c.1
b.2 d.0
17.x=_________
a.17 cos 20° b.17 sin 20°
c.17 sin 70° d.17 tan 20°
18.Which equation can be use to solve for y?
a.cos20° c.tan20°=y/17
b.sin 20°=y/17 d.cot20°=y/17
19.For any triangle ABC,w/ data as indicated, which equation
would give the measure of angle A?
a.3/sin C=5/sin A C.sin A=5/7
b.32+72-2(3)(7)Cos A=52 d.cos A=3/7
20.What is the amplitude of y=-2 sin 3x?
a.-2 c.-3
b.2 d.1 ½
21.For any trianlge ABC,which of the ff. statements is true?
a.sin A/a=sin B/b
b.sinA/sin B=a/b
c.b sin A=a sin B
d.a sin A=b sin B
22.Give an equation involving a trigonometric function that
you would use to find a if b=8 and A=27°
a.sin 27°=a/8
b.tan 27°=a/8
c.cos 27°=a/8
d.cot 27°=a/8
23.Using the law of sines,w/c expression is equivalent to b/sin B?
a.a/sin A c.sin A/a
b.a/c d.c/sinA
24.In right triangle ABC,angle C=90°,a=16,b=16,find angle B
a.30° c.60°
b.45° d.75°
25.W/c equation is not a statement of the law of cosines?
a.b2=a2+c2-2ac cos B
b.a2=b2+c2-2bc cos A
c.c2=a2+b2-2ab cos A
d.c2=a2+b2-2ab cos C
26.The graph of p(x)=(x+1)(2x+3)(x-2)?
a.once c.thrice
b.twice d.four
27.W/c of the ff. is not a zero of a f(x)=(x+3)(x-1)(2x+1)?
a.0 c.-3
b.-1 d.-0.5
28.Solve for x:logax=2 loga3+loga5
a.15 c.45
b.30 d.125
29.sin 40° cos 12°+cos 40° sin 12°=_________
a.sin 28° c.cos 28°
b.cos 52° d.sin 52°
30.What is the square root of 4b4-4b2+1?
a.2b2+2b+1 c.2b2-1
b.2b2+1 d.2b-1
31.The line 1/2x-3y=9 crosses the x-axis at point
a.(0,9/2) c.(0,18)
b.(-3,0) d.(18,0)
32.The sum of two numbers is 22 and the sum of their squares is 250.
What is the product of two numbers?
a. 9 c.22
b.13 d.117
33.What is the equation for a parabola,if the graph of y=3/4x2
shifted 2 units to the left and 3 units upward?
a.y=3/4(x-2)2-3 c.y=3/4(x+2)2+3
b.y=3/4(x+2)2-3 d.y=3/4(x-2)2+3
34.Simplify: sin x cos x
1-cos2x
a.cot x c.tan x
b.sinx d.sec x
35.Solve: 273b-1=(1/9)b-1
a.5/9 c.5/11
b.7/9 d.-5/11
36.Which of the ff. is the smallest positive coterminal angle of -45°?
a.110° c.215°
b.115° d.315°
37.Which of the ff. is the most reliable measure of dispersion?
a.range c.average deviation
b.quartile range d.standard deviation
38.Given the highest score of 90,the lowest is 5.If the size of the interval is 5,
What should be the best lowest class interval?
a.0-4 c.81-85
b.86-90 d.1-5
39.If the sum and product of the roots of 4x2-12x+21=0 are S and P,
Respectively,then;
a.S=-3,P=21/4 c.S=12,P=21
b.S=3,P=21/4 d.S=21/4,P=3
40.Which of the ff. is a factor of the polynomial x2-x-20?
a.x-5 c.x+2
b.x-4 d.x+5
TEST II : SOLVE THE FOLLOWING
1.What is the value if 84log 83?
2.Find the value of k so that the equation 2x2-11x+k=0
Will have two distinct roots?
3.Find the minimum value of the function f(x)=4x2-8x-1
4.What is the point of intersection of two lines:
2x-y=-6 and 2x+y=0 ?
5. A tower is 37.6 m high.find the angle of elevation of the top of the tower from
a point 82m from the foot of the tower.
6.Suppose a certain kind of bacteria doubles every hour.If initially there are 2000
Bacteria in the culture and there no deaths,about how many bacteria will there be in
5 hours?
7.A certain car depreciates at annual rate of 15%.If the cost is Php 75 000 when new,
How much would be its value at the end of 3 years?
8.The amount in a bank account after 9 years is Ph 26 000 was invested originally at
7.5% annual interest compounded quarterly.
9.The length of an arc of a circle is 50 cm and is subtended by a central angle of 2.5 radians.
Find the radius of the circle.
10.A ladder leaning against a wall reaches a window, what is 8 m above the ground and
makes an anlge of 60° with the ground. How long is the ladder?
1.The discriptive title of our subject (MATH 4)
a.Elementary Algebra c.Geometry
b.Intermediate Algebra d.Advance algebra
Trigonometry and Statistics
2.If the range of a set of scores is 23 and the highest score is 88,
What is the lowest score?
a.65 c.71
b.67 d.78
3.Identify the mode of the ff. scores: 34,14,28,16,24,18,17,24.
a.16 c.19
b.18 d. 24
4.Calculate the median of the following scores:
178,22,24,6,10,7,33,7,26.
a.24 c.17
b.22 d.10
5.To answer the question “What is the most widely used bath soap”? Is to find …
a.variances c.median
b.mode d.mean
6.Convert 648° to radians:
a.22/3 π c.18/5π
b.16/7 π d.20/3π
7.Find the reference angle of 218°.
a.398° c.98°
b.128° d.38°
8.Which of the following is equal to sin 60°
a.sin(-420) c.sin 780
b.sin(-30) d.sin π/6
9.Find the polynomial equation whose roots are -2,-1,and 1
a.x2 -2x2+x+2 c.x3+2x2-x+2
b.x3-2x2-x+2 d.x3+2x2-x-2
10.What is the vertex of the parabola y=x2-3?
a.(3,0) c.(0,3)
b.(-3,0) d.(0,-3)
11.If f(x)=2x+1 and g(x)=3x find (f ₀ g)(x)
a.5x+1 c.x-6
b.6x=3 d.6x+1
12.Which of the following parabolas open upward?
a.y=4x2-2 c.y=-x2+1
b.x=4y2-2 d.x=-y2+2
13.Which of the ff. statements is not true?
a.Sin2A-Cos2A=1 c.Sin2A=(Sin A)SinA
b.Cos2A=1-Sin2A d.Sin A SecA=TanA
14.If x=-1/2 in the expression y=2x+4,then y is..
a.3 b.-3 c.4 d.-4
15.For a right triangle ABC,angle C=90°,the values of a and b are given,
which trigonometric function would you use to find angle B?
a.tangent c.cosine
b.sine d.cosecant
16.Point (1,0) lies in the graph of the function y=kx2-2,what is k?
a.3 c.1
b.2 d.0
17.x=_________
a.17 cos 20° b.17 sin 20°
c.17 sin 70° d.17 tan 20°
18.Which equation can be use to solve for y?
a.cos20° c.tan20°=y/17
b.sin 20°=y/17 d.cot20°=y/17
19.For any triangle ABC,w/ data as indicated, which equation
would give the measure of angle A?
a.3/sin C=5/sin A C.sin A=5/7
b.32+72-2(3)(7)Cos A=52 d.cos A=3/7
20.What is the amplitude of y=-2 sin 3x?
a.-2 c.-3
b.2 d.1 ½
21.For any trianlge ABC,which of the ff. statements is true?
a.sin A/a=sin B/b
b.sinA/sin B=a/b
c.b sin A=a sin B
d.a sin A=b sin B
22.Give an equation involving a trigonometric function that
you would use to find a if b=8 and A=27°
a.sin 27°=a/8
b.tan 27°=a/8
c.cos 27°=a/8
d.cot 27°=a/8
23.Using the law of sines,w/c expression is equivalent to b/sin B?
a.a/sin A c.sin A/a
b.a/c d.c/sinA
24.In right triangle ABC,angle C=90°,a=16,b=16,find angle B
a.30° c.60°
b.45° d.75°
25.W/c equation is not a statement of the law of cosines?
a.b2=a2+c2-2ac cos B
b.a2=b2+c2-2bc cos A
c.c2=a2+b2-2ab cos A
d.c2=a2+b2-2ab cos C
26.The graph of p(x)=(x+1)(2x+3)(x-2)?
a.once c.thrice
b.twice d.four
27.W/c of the ff. is not a zero of a f(x)=(x+3)(x-1)(2x+1)?
a.0 c.-3
b.-1 d.-0.5
28.Solve for x:logax=2 loga3+loga5
a.15 c.45
b.30 d.125
29.sin 40° cos 12°+cos 40° sin 12°=_________
a.sin 28° c.cos 28°
b.cos 52° d.sin 52°
30.What is the square root of 4b4-4b2+1?
a.2b2+2b+1 c.2b2-1
b.2b2+1 d.2b-1
31.The line 1/2x-3y=9 crosses the x-axis at point
a.(0,9/2) c.(0,18)
b.(-3,0) d.(18,0)
32.The sum of two numbers is 22 and the sum of their squares is 250.
What is the product of two numbers?
a. 9 c.22
b.13 d.117
33.What is the equation for a parabola,if the graph of y=3/4x2
shifted 2 units to the left and 3 units upward?
a.y=3/4(x-2)2-3 c.y=3/4(x+2)2+3
b.y=3/4(x+2)2-3 d.y=3/4(x-2)2+3
34.Simplify: sin x cos x
1-cos2x
a.cot x c.tan x
b.sinx d.sec x
35.Solve: 273b-1=(1/9)b-1
a.5/9 c.5/11
b.7/9 d.-5/11
36.Which of the ff. is the smallest positive coterminal angle of -45°?
a.110° c.215°
b.115° d.315°
37.Which of the ff. is the most reliable measure of dispersion?
a.range c.average deviation
b.quartile range d.standard deviation
38.Given the highest score of 90,the lowest is 5.If the size of the interval is 5,
What should be the best lowest class interval?
a.0-4 c.81-85
b.86-90 d.1-5
39.If the sum and product of the roots of 4x2-12x+21=0 are S and P,
Respectively,then;
a.S=-3,P=21/4 c.S=12,P=21
b.S=3,P=21/4 d.S=21/4,P=3
40.Which of the ff. is a factor of the polynomial x2-x-20?
a.x-5 c.x+2
b.x-4 d.x+5
TEST II : SOLVE THE FOLLOWING
1.What is the value if 84log 83?
2.Find the value of k so that the equation 2x2-11x+k=0
Will have two distinct roots?
3.Find the minimum value of the function f(x)=4x2-8x-1
4.What is the point of intersection of two lines:
2x-y=-6 and 2x+y=0 ?
5. A tower is 37.6 m high.find the angle of elevation of the top of the tower from
a point 82m from the foot of the tower.
6.Suppose a certain kind of bacteria doubles every hour.If initially there are 2000
Bacteria in the culture and there no deaths,about how many bacteria will there be in
5 hours?
7.A certain car depreciates at annual rate of 15%.If the cost is Php 75 000 when new,
How much would be its value at the end of 3 years?
8.The amount in a bank account after 9 years is Ph 26 000 was invested originally at
7.5% annual interest compounded quarterly.
9.The length of an arc of a circle is 50 cm and is subtended by a central angle of 2.5 radians.
Find the radius of the circle.
10.A ladder leaning against a wall reaches a window, what is 8 m above the ground and
makes an anlge of 60° with the ground. How long is the ladder?