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Interactive NAT Grade 10 Reviewer (Mathematics) Part 4
Interactive NAT Grade 10 Reviewer (Mathematics) Part 4
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June 26, 2023
1➤
Find the sum of the first 10 terms of 3/2, 3/2, 3/2, . . .
30
15
20
25
2➤
Find the number of terms of a geometric sequence if a1 = 5, r = 6 and an = 180.
3
2
1
4
3➤
What is the sum of the first 10 terms of the geometric sequence 4, 8, 16, . . .?
2048
3820
4092
4224
4➤
How many terms of the sequence -9, -6, -3, . . .must be taken so that the sum is 66?
13
12
11
10
5➤
Find the sum of the infinite geometric sequence 1/3, 1/6, 1/12, 1/24, . . .
2/3
2
3
1/3
6➤
What is the common ratio of the infinite geometric sequence 1/3, 1/6, 1/12, 1/24, . . .?
2
-2
1/2
-1/2
7➤
What is the next term in the harmonic sequence 1/13, 1/10, 1/7, ¼, . . . ?
1
1/3
-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 m
96 m
100 m
85 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. 437,400
Php. 438,000
Php. 393,660
Php. 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?
31
32
63
64
11➤
A polynomial with three terms is called ________.
monomial
multinomial
binomial
trinomial
12➤
What is the degree of the polynomial 2x – 3x^2 – 2x^3 + 3?
2
3
-3
5
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 + 6
Q(x) = 3x² + 5/x - 2x + 8
G(x) = 3x^3 – 4x + 7
F(x) = 4 – 11
15➤
The following are polynomials except :
4x³+ 3x² + 2x + 1
x – 4 + x³ + x² + x + 1
x^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).
-12
12
-8
8
17➤
Find the leading coefficient of the polynomial function f(x) = 3 – 2x^2 + 5x^4 + 7x^6 .
6
3
5
7
18➤
Given P(x) = 2x^3 + 3x^2 - 5x – 12. What is the value of P(3) ?
56
55
54
53
19➤
Find P(1) if P(x) = x³ - 12x² - 6x + 7.
-10
10
-11
0
20➤
Find the product: ( 4x- 3 ) ( 4x + 3)
16x^2 + 9
16x^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 + 5
9x^2 + 6x + 1
3x^3 + 4x^2 - 8x – 3
all 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 ?
2
4
6
8
24➤
One side of an equilateral triangle is ( 5x + 3) m. What is its perimeter in meters?
15x + 9
15x + 3
20x + 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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