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Interactive NAT Grade 10 Reviewer (Mathematics) Part 2
Interactive NAT Grade 10 Reviewer (Mathematics) Part 2
Admin
June 25, 2023
1➤
Which of the following is an example of a polynomial function?
Quadratic function
Exponential function
Trigonometric function
Logarithmic function
2➤
What is the leading coefficient of the polynomial function f(x) = 5x^2 + 3x^5 + 7x - 2?
1
2
3
4
3➤
How should the polynomial function f(x) = 11x + 6x^2 + x^3 + 6 be written in standard form?
f(x) = 6x^2 + 11x + x^3 + 6
f(x) = x^3 + 6x^2 + 11x + 6
f(x) = 6 + 11x + 6x^2 + x^3
f(x) = 6 + x^3 + 6x^2 + 11x
4➤
What is the degree of f(x) = x(x + 3)(x + 2)?
1
2
3
4
5➤
What is the value of the constant term of the polynomial function P(x) = 2x^4 – 13x^3 + 30x^2 - 28x + 8?
2
8
-13
30
6➤
P(x) = anxn + an-1xn-1 + an-2xn-2 + ... + a1x + a0, an ≠ 0, where n is _______.
an integer greater than or equal to zero and the coefficients are real numbers.
an integer and the coefficients are real numbers.
any real number and the coefficients are all positive real numbers.
any real number and the coefficients are all negative real numbers
7➤
Which of the following is NOT a polynomial function?
f(x) = 2x^3 - 3x^2 + x - 4
f(x) = (x - 5)(9x + 1)^2(x - 4)
f(x) = x - 3 + 2x^2 - 7
f(x) = 2x^4 + x^5 - 3
8➤
What do you call the coefficient of the leading term of P(x)?
Degree
x
Leading coefficient
Constant
9➤
What is the degree of the polynomial function f(x) = x^4 - x^3 - 3x^2 - 3x - 18?
1
2
3
4
10➤
A shopkeeper determines that its profit, P, in pesos, can be modeled by the function P(x) = 6x^2 – 7x – 5, where x represents the number of shirts sold. What is the profit at x = 150?
Php 136,055
Php 133,945
Php 2855
Php 1800
11➤
It is a distance from the center to any point on the circle.
Radius
Circumference
Diameter
Perimeter
12➤
The distance between any two points on the circle which do not pass through the center.
Radius
Circumference
Chord
Diameter
13➤
An angle formed by two rays whose vertex is the center of the circle.
Arc
Central angle
Sector
Segment
14➤
It is an arc with a measure equal to one-half the circumference of a circle.
Minor arc
Major arc
Central angle
Semicircle
15➤
An arc with a measure less than a semicircle.
Minor arc
Major arc
Central angle
Semicircle
16➤
It is the intersection of a tangent line and a circle.
Point of intersection
Point of tangency
Point of boundary
Point of reference
17➤
The region is bounded by an arc of the circle and two radii to the endpoints of the arc.
Segment
Tangent line
Secant line
Sector
18➤
A line that intersects the circle at two points.
Segment
Tangent line
Secant line
Sector
19➤
The region is bounded by an arc of a circle and the segments joining its endpoints.
Chord
Sector
Segment
Tangent
20➤
A line that intersects the circle at exactly one point.
Tangent
Secant
Diameter
Chord
21➤
A Latin word for secant which means to cut.
Telecare
UAT
Decare
Secare
22➤
Consider this Revenue-Advertising Expense situation. A drugstore that sells a certain brand of vitamin capsule estimates that the profit P (in pesos) is given by P = -50x^3 + 2400x^2 - 2000, 0 ≤ x ≤ 32 where x is the amount spent on advertising (in thousands of pesos). An advertising agency provides four (4) different advertising packages with costs listed below. Which of these packages will yield the highest revenue for the company?
Package A: Php 8,000.00
Package B: Php 16,000.00
Package C: Php 32,000.00
Package D: Php 48,000.00
23➤
A car manufacturer determines that its profit, P, in thousands of pesos, can be modeled by the function P(x) = 0.00124x^4 + x - 3, where x represents the number of cars sold. What is the profit at x = 150?
Php 75.28
Php 632,959.50
Php 3,000,000.00
Php 10,125,297.00
24➤
A demographer predicts that the population, P, of a town t years from now can be modeled by the function P(t) = 6t^4 - 5t^3 + 200t + 12,000. What will the population of the town be two (2) years from now?
12,456
124,560
1,245,600
12,456,000
25➤
Which angle has its vertex on a circle and has sides that contain chords of the circle?
Central angle
Inscribed angle
Circumscribed angle
Intercepted angle
26➤
A circle with a 5 cm-radius has an arc that measures 30°. What is the measure of its arc length? Note: Ï€ = 3.14
2.62 cm
2.3 cm
1.86 cm
1.5 cm
27➤
What is the sum of the measures of the central angles of a circle with no common interior points?
120°
240°
360°
480°
28➤
What do you call the shaded region of circle A?
Area
Pi
Sector
Segment
29➤
Given circle A, what kind of arc is angle DMY if DY is a diameter?
Circle
Minor arc
Major arc
Semicircle
30➤
Given circle A with a semicircle YSD and m∠SAD = 70°, what is the measure of ∠SAY?
20°
70°
110°
150°
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