WorksheetsG10 MATH WRITTEN WORK Q1
Total questions: 60
Worksheet time: 45mins
Which of the following is not an arithmetic sequence ?
5, 10, 15, 20, …
3, 7, 11, 15, 19, …
1000, 100, 10, 1, …
89, 86, 83, 80, …
Which of the following is the first 3 terms of the sequence whose equation is an = n(n + 1)2 ?
2, 8, 24, …
1, 8, 32, …
3, 18, 64, …
4, 18, 48, …
Which of the following is the common difference of the arithmetic sequence 7, 9, 11, 13, …?
2
3
4
5
Find the 30th term of the arithmetic sequence 7, 10, 13, 16, . . .?
91
94
97
100
What are the three arithmetic means between the terms 18 and 2?
15, 12, 9
16, 11, 6
13, 10, 7
14, 10, 6
Which term of the arithmetic sequence 4,1,-2,-5,...... is -29?
9th term
10th term
11th term
12th term
If three arithmetic means are inserted between 11 and 39, find the second arithmetic mean.
18
25
32
46
What is the next term in the arithmetic sequence 5, 8, 11, 14,_____?
15
16
17
18
What is the 3rd term of the arithmetic sequence whose 1st term is -7 and the common difference is 5?
2
3
4
5
Which of the following is an example of arithmetic sequence?
-12, -5, 2, 9
3, 6, 9, 11
8, 12, 16, 24
5, 10, 20, 40
What is the next letter of the sequence X, T, P, L, …?
U
Q
M
H
Which of the following sequences is arithmetic?
0, 1, 1, 2
-12, -9, -6, -3
1/3,1/6,1/9,1/12
27,-9,3,-1
Find the first term of an arithmetic sequence if the eight term is 33 and the ninth term is 37?
1
9
5
17
The first and last term of an arithmetic sequence is -3 and 25 respectively. If the common difference is 2, how many terms are there in the sequence?
12
13
14
15
If two arithmetic means are inserted between -8 and 13 what is the second mean?
-1
6
-6
1
Which of the following sequence is an example of Geometric Sequence?
3, 6, 9, 12
2, 4, 8, 16
5, 10, 15, 20
8, 16, 24, 32
Determine the common ratio and the next 3 terms of the geometric sequence 4, 8, 16….
r=2 , 32, 64, 124
r = 3 , 32, 68, 128
r = 2 , 32, 64, 128
r = 2 , 32, 66, 124
Find the 10th term of the geometric progression of 3, 12, 48……
786,432
768,432
786,342
786,324
What are the 3 Geometric means between 4 and 64?
8, 16, 36
8, 18, 32
8, 18, 36
8, 16, 32
Determine the common difference/ratio of the sequence 2, -5, -12, -19.
6
-7
-6
7
What is the 1st term in the geometric sequence ___, 6, 18, 54, 162?
4
2
3
1
Find the 8th term of the geometric sequence 9600, 4800, 2400,….
72
70
78
75
A culture of bacteria doubles every 2 hours. If there are 100 bacteria at the beginning, how many bacteria will there be after 10 hours?
3200
1600
800
1000
Jenny makes gift baskets for Valentine’s Day. She has 10 baskets left over from last year, and she plans to make 5 more each day. If there are 18 weeks work days until the day she begins to sell the baskets, how many baskets will she have to sell?
80
90
100
110
Joel earned P240 in the first day, P350 in the 2nd day and P460 in the 3rd day, and so on. How much did he earn in 2 weeks?
P1670
P1760
P13,730
P13,370
TRUE FALSE with options.
Statement 1: Geometric sequence is a sequence where each term after the first is obtained by multiplying the preceding term by the same constant.
Statement 2: The constant multiplied to each term of a geometric sequence to obtain the next term is a common difference.
The first statement is true and the second statement is false.
The first statement is false and the second statement is true
Both statements are true
Both statements are false
TRUE FALSE with options.
Statement 1: The first term of a geometric sequence in which the second and fourth terms are 4 and 64 respectively is one (1)
Statement 2: The 9th term of the geometric sequence -7, 7, -7, 7, … is -7.
The first statement is true and the second statement is false.
The first statement is false and the second statement is true
Both statements are true
Both statements are false
TRUE FALSE with options.
Statement 1: Geometric means are terms between two terms of a geometric sequence.
Statement 2: The geometric mean between 2 and 98 is 14
The first statement is true and the second statement is false.
The first statement is false and the second statement is true
Both statements are true
Both statements are false
TRUE FALSE with options.
The first statement is true and the second statement is false.
The first statement is false and the second statement is true
Both statements are true
Both statements are false
TRUE FALSE with options.
Statement 1: The sum of the first 25 terms of a geometric sequence 1, -1, 1, -1 is 25.
Statement 2: The sum of the first 10 terms of the geometric sequence 2, 4, 8, 16, 32 is 2046.
The first statement is true and the second statement is false.
The first statement is false and the second statement is true
Both statements are true
Both statements are false
What is the remainder when f(x) = 2x3 – 5x2 + 3x -2 is divided by x+1?
-12
-10
-8
5
Given P(x) = 2x3 + 3x2 – 5x – 12 , What is the value of P(3) ?
56
55
54
53
What is the remainder when P(x) = x3 + 3x2 -5x- 4 is divided by x+4?
1
-4
0
4
If x-5 is a factor of the polynomial function f(x) = x3 – 19x – 30, the other two factors are;
( x+2)(x+1)
(x+3)(x+2)
(x+1)(x+3)
(x+3)(x-10)
Use synthetic division to find the quotient if x4 + 5x3 + 2x2 + 7x+30 is divided by x+2
x3 +3x2 - 4x +15
x3 +3x2 - 4x -15
x3 - 3x2 - 4x +15
x3 +3x2 + 4x +15
It is a shortcut method, a numerical method used for dividing polynomials by a binomial
Synthetic Division
Long method
Factor Theorem
Remainder Theorem
Is x-4 a factor of x3 -2x2 - 11x +12
Yes
No
Maybe
all of the above
True or False: x-c is a factor of f(x) if and only if f(c) = 0
True
False
Divide x2 + x -20 by x+5
x+4
x-4
x+5
x-5
Determine whether x-2 is a factor of x3 -x2 - 4x +4
No, x-2 is not a factor
Yes, X-2 is a factor
In P(x) = 2x4 + 7x3 + 4x2 - 2x + 7, what is P (-1)?
4
8
11
14
When x3 + 4x2+x -6 is divided by (x+2), which of these statements is true?
The remainder is equal to zero.
The remainder is not equal to zero.
(x+2) is the only factor of x3 + 4x2+x -6.
(x-2) is one of the factors of x3 + 4x2+x -6.
Which of these binomials is a factor of x4-6x2+x+6?
x - 1
x +2
x - 2
x+3
The area of a rectangular garden is given by 2x3 + 6x2 - x – 3 square units. If its width is x+3 units, which expression below represents the length of the garden?
2x3 + 1
2x3 - 1
x3 + 1
x3 - 1
What is the degree of the function y = 3x4 – 2x + 5x5 – x3 + 2 – 2x2 has?
2
4
5
3
Find a cubic polynomial equation with roots -2, 2 and 4
x3-4x2-4x+16
x3-4x2-4x-16
x3-4x2+4x+16
x3+4x2-4x+16
Which of the following is the set of roots of the function P(x) = (x + 2)(x – 3)(2x + 3)?
2, 3, -3/2
- 2, 3, -3/2
2, - 3, -3/2
- 2, 3, 3/2
One zero of f(x) = x3 - 5x2 - 22x + 56 is 7. What are the other zeros of the function?
1,8
-1,8
-2, 4
-4, 2
What are the factors of x2 - 2x – 8 ?
( 2x+1)(x-3)
( 2x-1)( x+3)
(x-4)(x+2)
(x+4)(x+2)
What are the factors of 2x2 - 5x – 3?
( 2x+1)(x-3)
( 2x-1)( x+3)
(x-4)(x+2)
(x+2) (x-3)
What are the factors of x3 + 3x2 + 3x +1
(x-1)3
(x+3)3
(x-1)(x+1)2
(x+1)3
What are the factors of the polynomial x3 + 3x2 - 6x – 8?
(x+1) (x+2) (x+4)
(x-1) (x-2) (x+4)
(x+1) (x-2) (x+4)
(x+1) (x-2) (x-4)
What are the factors of the polynomial x4 - x3 - 7x2 + x + 6?
(x-1) (x+1) (x+2) (x-3)
(x-1) (x-1) (x+2) (x-3)
(x-1) (x+1) (x-2) (x-3)
(x-1) (x+1) (x+2) (x+3)
What are the roots of the polynomial equation x2 – 3x - 10 = 0
5,-2
-5,-2
5,2
-5,2
What are the roots of the given polynomial equation x (x2 – 1) = 0
0, 1
0, -1 multiplicity of 2
0, 1 multiplicity of 3
0, 1 multiplicity of 2
What are the roots of the polynomial equation x4 – 8x3 + 14x2 + 8x – 15 = 0
1,-1,3,5
1,-1,-3,5
3,5,1 multiplicity of 2
3,5,-1 multiplicity of 2
True or False:
A Polynomial Equation is a special kind of algebraic equation where each term is a constant, a variable, or a product of constants and variables raised to whole number exponents and has an equal sign (=).
TRUE
FALSE
Determine the degree of the polynomial equation 2x3 + x6 - 3x4 + 1 = 0
3
4
6
2
How many real root does the polynomial equation (x+4)2(x-1)3 = 0 has?
2
3
4
5
Find a polynomial equation with integer coefficients that has the following roots: 1, -2, -5
x3 - 6x2 + 3x – 10 = 0
x3+ 6x2 + 3x – 10 = 0
x3+ 6x2 + 3x +10 = 0
-x3+ 6x2 + 3x – 10 = 0
