Grade 10 – 2nd Quarter examination revisions.
TEST I.
- Cut no.s 4, 5, 6, 7, 12, 13, 15, 18, 21, 23, 25
1. What is the graph of the functions which degree is odd and which leading coefficient
is negative. Rises to left and falls to right
2. What is the graph of the functions which degree is even and which leading coefficient
is negative. Falls to the left and right
3. What is the graph of the functions which degree is odd and which leading coefficient
is positive. Falls to left and rises to right
4. What is the graph of the functions which degree is even and which leading coefficient
is positive. Rises to the left and right
5. Secant: A line that intersects a circle in two points.
6. Tangent: A line that intersects a circle in exactly one point.
7. Point of Tangency: The point where a tangent line touches the circle.
8. Tangent Circles: Two or more circles that intersect at one point.
9. Concentric Circles: Two or more circles that have the same center, but different
radii.
10. Congruent Circles: Two or more circles with the same radius, but different
centers.
11. Inscribed angle - an angle whose vertex is on the circle.
12. Central angle - an angle whose vertex is at the center of the circle.
TEST II.
Enumerate the following.
A.) Parts of Circle
1.
2.
3.
4.
5.
6.
7.
B.) 3 Types of an arc
8.
9.
10.
TEST III. (2 points each)
Give the complete integral zeroes of the following polynomial functions. (write your solutions in
a separate sheet of paper)
____________ 1. x 3 +9 x 2−x−9 (1, -9, -1)
____________ 2. x 3 + x 2−x−1 (-1, 1)
____________ 3. x 3−2 x 2−16 x−15
____________ 4. x 4 −x3 +2 x 2−4 x−8
____________ 5. x 3−6 x 2 +3 x+10 (5, 2)
TEST VII.
Identify the parts of the circle below.
H B Name:
J F
Radius:
I Diameter:
E D
A Chord:
Secant:
G Tangent:
C Point of Tangency:
‘Angle BAC:
Intercepted arc BD:
Intercepted arc BC:
TEST VIII. (2 points each)
Derive the following. Show your solutions.
1. y = −8 x 4
y’ = ________
2
2. y = −4 x 3
y’ = ________
4
3. y = 3
6x
y’ = ________
2
3
4. y = 5 x
7
y’ = ________
2
16 x
5. y =
4
y’ = ________
Grade 11 PRE CAL- 2nd quarter examination revision
TEST I.
- Cut nos. 1, 7, 11, 13, 15
TEST II. (2 point each)
A. Convert each to radian/degree measure.
______ 1. 460 0 ______ 6. −6400
16 π
______ 2. rad ______ 7. 2400
7
______ 3. 750 ______ 8. 1350
3π
______ 4. 900 0 ______ 9. rad
4
11π −33 π
______ 5. rad ______ 10. rad
10 8
B. Find the positive and negative coterminal angle for each of the following. Write on the
first blank the positive coterminal angle and on the second blank the negative coterminal
angle.
1. 3600 =¿ ______, _______ 0
6.−215 =¿ ______, _______
2π
2. −1300 =¿ ______, _______ 7. rad=¿ ______, _______
3
11π −π
3. rad=¿ ______, _______ 8. rad=¿ ______, _______
12 4
3π
4. 500 =¿ ______, _______ 9. rad=¿ ______, _______
4
−33 π
5. 2400 =¿ ______, _______ 10. rad=¿ ______, _______
8
C. Solve the following using the Sigma notation. (Show your solution.)
8
______ 1. ∑ 7
n =1
______ 2. ∑ (k −1)2
k=0
______ 3. ∑ ( n+3 )
n =1
10
______ 4. ∑ (2n )
n=0
10
______ 5. ∑ (x 2−1)
x=5
TEST III.
Use the Pythagorean theorem to find the missing side of each triangle and determine the
indicated trigonometric ratios of angle. ANSWER MUST BE IN LOWEST TERM.
-Additional to the original given
3. a = ________ (2pts)
13
Sinθ = _______
a
Cosθ = _______
12 Tanθ = _______
c c = ________ (2pts)
4.
10 Sinθ = _______
Cosθ = _______
12
Tanθ = _______
TEST IV.
Complete the table below. (10 points)
A. Reciprocal Identities
1 Sinθ = _______
_______ =
sinθ
1 Cosθ = _______
_______ =
cosθ
1 Tanθ = _______
_______ =
tanθ
B. Ratio Identities
Sinθ = _______ Cotθ = _______
Cosθ = _______ Tanθ = _______
TEST
