WorksheetsMATH 10
Total questions: 15
Worksheet time: 45mins
Which of the following sequences would be produced if you took the pattern 3, 6, 12, 24,... and applied it to the initial number 5?
5, 7.5, 10, 12.5, ..
5, 10, 15, 20, ...
5, 10, 20, 40, ...
5, 25, 125, 625, ...
Which of the following sequences illustrates an arithmetic sequence?
1, 3, 9, 27, ...
2, 4, 8, 16, ...
3, 6, 12, 24, ...
5, 10, 15, 20, ...
Tanya started saving money by putting ₱5 in her piggy bank on the first day. Each day after that, she added ₱2 more than the previous day. If this pattern continues, how much money will Sarah save on the 5th day?
13
15
17
19
Mia is observing an arithmetic sequence where the first term is 5 and the common difference is 2. She needs to calculate the sum of the first seven terms of this sequence. What is the total first seven terms?
77
84
91
98
In a fantasy board game, players move through a mystical forest. The number of steps a player takes corresponds to an arithmetic sequence. On the first turn, a player moves 3 steps, on the second, 7 steps, and on the third, 11 steps. If this pattern continues, how many steps will the player take on the fourth turn?
13
15
17
19
Which of the following sequences is a geometric sequence?
2, 4, 6, 8, ...
3, 9, 27, 81, ...
5, 10, 15, 20, ...
7, 14, 28, 56, ...
A virus in a laboratory doubles its count every day. If there were 50 viruses on the first day, how many viruses will there be on the 4th day?
100
200
400
800
A sequence is defined by the following terms: 3, 5, 9, 15, ... Which of the following statements best describes the pattern observed in the sequence?
Each term is obtained by adding 2.
The sequence is random with no discernible pattern.
The difference between consecutive terms is increasing by 2.
Each term is obtained by multiplying the previous term by a constant factor.
Use synthetic division to determine the quotient when 2x2 + 3x – 5 is divided by
x – 1
2x+5
2x+2
2x-5
2x-2
Which of the following best describes the Remainder Theorem?
If f(c) = 0, then x - c is a factor of the polynomial f(x).
If a polynomial f(x) is divided by x - c, then the remainder is f(c).
The degree of a polynomial determines its maximum number of roots.
Every rational root, written in lowest terms p/q, will have p as a factor of the constant term and q as a factor of the leading coefficient.
Which of the following methods can be used to factor the polynomial x2 - 9?
Grouping
Difference of squares
Trinomial of Squares
Factoring y GCF
You're given a trinomial, x2 + bx + c. If the value of c is positive and b is negative, which of the following can be inferred about the factors of the trinomial?
The trinomial cannot be factored.
Both binomials have positive constants.
Both binomials have negative constants.
One binomial has a positive constant, and the other has a negative constant.
A rectangular box has a length of x + 2 units, a width of x units, and a height of x - 1 units. What is the polynomial expression that represents the volume of the box?
x3 + x2 - 2x
x3 + x2 - x – 2
x3 + 3x2 - x - 2
x3 + 2x2 - x - 2
A rectangular garden has a length that is 3 meters more than twice its width. If the width is represented by the polynomial w(x) = x, which polynomial expression represents the length of the garden?
l(x) = 2x
l(x) = 2x + 3
l(x) = 3x + 2
l(x) = 5x + 3
Maria is trying to solve the polynomial equation f(x) = x2 - 5x + 6. She claims that one of the solutions is x = 2. Based on her claim, which statement is true
x = 2 makes the polynomial undefined.
x = 2 is a factor of the polynomial, but not a solution.
Maria is incorrect because x = 2 does not satisfy the equation.
Maria is correct because substituting x = 2 satisfies the equation.
