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Interactive NAT Grade 10 Reviewer (Mathematics) Part 2

1➤ Which of the following is an example of a polynomial function?

2➤ What is the leading coefficient of the polynomial function f(x) = 5x^2 + 3x^5 + 7x - 2?

3➤ How should the polynomial function f(x) = 11x + 6x^2 + x^3 + 6 be written in standard form?

4➤ What is the degree of f(x) = x(x + 3)(x + 2)?

5➤ What is the value of the constant term of the polynomial function P(x) = 2x^4 – 13x^3 + 30x^2 - 28x + 8?

6➤ P(x) = anxn + an-1xn-1 + an-2xn-2 + ... + a1x + a0, an ≠ 0, where n is _______.

7➤ Which of the following is NOT a polynomial function?

8➤ What do you call the coefficient of the leading term of P(x)?

9➤ What is the degree of the polynomial function f(x) = x^4 - x^3 - 3x^2 - 3x - 18?

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?

11➤ It is a distance from the center to any point on the circle.

12➤ The distance between any two points on the circle which do not pass through the center.

13➤ An angle formed by two rays whose vertex is the center of the circle.

14➤ It is an arc with a measure equal to one-half the circumference of a circle.

15➤ An arc with a measure less than a semicircle.

16➤ It is the intersection of a tangent line and a circle.

17➤ The region is bounded by an arc of the circle and two radii to the endpoints of the arc.

18➤ A line that intersects the circle at two points.

19➤ The region is bounded by an arc of a circle and the segments joining its endpoints.

20➤ A line that intersects the circle at exactly one point.

21➤ A Latin word for secant which means to cut.

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?

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?

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?

25➤ Which angle has its vertex on a circle and has sides that contain chords of the circle?

26➤ A circle with a 5 cm-radius has an arc that measures 30°. What is the measure of its arc length? Note: π = 3.14

27➤ What is the sum of the measures of the central angles of a circle with no common interior points?

28➤ What do you call the shaded region of circle A?

29➤ Given circle A, what kind of arc is angle DMY if DY is a diameter?

30➤ Given circle A with a semicircle YSD and m∠SAD = 70°, what is the measure of ∠SAY?

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