Interactive NAT Grade 10 Reviewer (Mathematics) Part 4

1➤ Find the sum of the first 10 terms of 3/2, 3/2, 3/2, . . .

30152025

2➤ Find the number of terms of a geometric sequence if a1 = 5, r = 6 and an = 180.

3214

3➤ What is the sum of the first 10 terms of the geometric sequence 4, 8, 16, . . .?

2048382040924224

4➤ How many terms of the sequence -9, -6, -3, . . .must be taken so that the sum is 66?

13121110

5➤ Find the sum of the infinite geometric sequence 1/3, 1/6, 1/12, 1/24, . . .

2/3231/3

6➤ What is the common ratio of the infinite geometric sequence 1/3, 1/6, 1/12, 1/24, . . .?

2-21/2-1/2

7➤ What is the next term in the harmonic sequence 1/13, 1/10, 1/7, ¼, . . . ?

11/3-3-1

8➤ A rubber ball is dropped from a height of 15 m. On each rebound, it rises 2/3 of the height from which It last fell. Find the distance travelled by the ball before it comes to rest.

75 m96 m100 m85 m

9➤ Rey bought a car for Php. 600,000.00 The yearly depreciation of his car is 10% of its value at the start of the year. What is the value after 4 years?

Php. 437,400Php. 438,000Php. 393,660Php. 378,000

10➤ In Ernesto Rondon High School suspension of classes is announced through text brigade. One stormy day, the principal announce the suspension of classes to two teachers, each of whom sends this message to other two teachers, and so on. Suppose that text messages were sent in five rounds counting the principal’s text message as the first, how many text messages were sent in all?

31326364

11➤ A polynomial with three terms is called ________.

monomialmultinomial binomialtrinomial

12➤ What is the degree of the polynomial 2x – 3x^2 – 2x^3 + 3?

23-35

13➤ Given the polynomial function P(x) = 121x^2 – 5x^11 + x8 + 2x^5 – 50, find its leading term.

121x^2– 5x^11 x^8 2x^5

14➤ Which of the following defines a polynomial function ?

P(x) = x^ -5 + x^2 + 3x + 6Q(x) = 3x² + 5/x - 2x + 8G(x) = 3x^3 – 4x + 7 F(x) = 4 – 11

15➤ The following are polynomials except :

4x³+ 3x² + 2x + 1 x – 4 + x³ + x² + x + 1x^4 + x² + x/2 + 3 √ x³ - 4x² +x/√4 + 5

16➤ Find the remainder when P(x) = 3x^3 – 2x^2 + 2x – 5 divided by (x + 1).

-1212-88

17➤ Find the leading coefficient of the polynomial function f(x) = 3 – 2x^2 + 5x^4 + 7x^6 .

6357

18➤ Given P(x) = 2x^3 + 3x^2 - 5x – 12. What is the value of P(3) ?

56555453

19➤ Find P(1) if P(x) = x³ - 12x² - 6x + 7.

-1010-110

20➤ Find the product: ( 4x- 3 ) ( 4x + 3)

16x^2 + 916x^2 – 24x + 9 16x^2 – 9 16x^2 + 24x + 9

21➤ What is the quotient when x^4 + x^3 + 1 is divided by x + 1 ?

x^2+2/(x+1) x^2+1/(x+1)x^3+2/(x+1)x^3+1/(x+1)

22➤ Which of the following polynomials is exactly divisible by ( 3x + 1 )?

6x^2 + 17x + 59x^2 + 6x + 1 3x^3 + 4x^2 - 8x – 3all of the above

23➤ What is the degree of the resulting polynomial if 3x^4 –2x^3 + 5x– 4 is added to 5x^4 + 3x^3 - 4x + 3 ?

2468

24➤ One side of an equilateral triangle is ( 5x + 3) m. What is its perimeter in meters?

15x + 9 15x + 320x + 12 20x + 3

25➤ The length of a rectangle is ( 2x – 3 )m its width is ( 3x + 2 )m. find its area.

( 6x^2 - 5x - 6 )m^2 ( 6x^2 + 5x + 6 )m^2( 6x^2 - 5x + 6 )m^2( 6x^2 + 5x - 6 )m^2

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