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WorksheetsMATH 8 QUARTER 1 S.Y. 2025-2026
Total questions: 50
Worksheet time: 25mins
What is the term used to describe a single value that represents the center of a set of data?
Frequency
Range
Measures of Variability
Measures of Central Tendency
What is the formula used to find the mean of a data set?
Subtract the smallest value from the largest.
Identify the most frequent value in the data set.
Add the lowest and highest values, then divide by 2.
Add all data values, then divide by the number of values.
Why does the way to find the median change when a data set has an even number of values?
An even set has no smallest number.
The mean and mode are always equal in even sets.
The biggest number is always chosen as the median.
Two numbers are in the middle, so their average is taken.
What is the median of the following data set: 2, 5, 8, 3, 9?
2
5
8
9
Find the mode of the following data set: 12, 15, 12, 17, 18, 12, 15.
12
15
17
18
Calculate the mean of the following data set: 6, 8, 10, 12, 14.
8
10
12
14
A vendor wants to track how many kilos of bananas she sells each day to help her plan inventory for the next week. From Monday to Friday, she sold 25, 40, 35, 50, and 30 kilos. What is her average number of kilos sold per day.
25 kg
36 kg
38 kg
50 kg
Five workers in a local bakery earned the following amounts in a week: ₱3,000, ₱2,500, ₱3,500, ₱2,000, and ₱2,000. The manager wants to understand the typical weekly earnings to help set fair salary expectations for future hires. What is the median income?
₱2,000
₱2,500
₱2,600
₱3,500
A student wants to track her reading habits for a week. She records the number of pages she reads each day: 120, 200, 150, 180, 160, and 170 pages. She wants to organize this data and determine the typical number of pages she reads using the median. Based on her record, what is the median number of pages read in a day?
160 pages
163.3 pages
165 pages
170 pages
A movie theater manager wants to understand customer behavior to improve staffing and promotions. Over the past six days, ticket sales were: 122, 137, 129, 143, 130, and 135. Analyze this data and determine the mode.
0
132.5
132.67
no mode
A teacher gave a quiz to her class. The scores on the quiz are shown in the following table:
Which of the following is the best measure of the typical score on the quiz?
Mean
Median
Mode
Range
The following table shows the heights of a group of students:
Which of the following is the most likely height of a student in this group?
155 cm
165 cm
175 cm
185 cm
Sarah is baking cookies. The recipe calls for c cups of flour. If Sarah wants to triple the recipe, which expression shows how much flour she needs?
c + 3
c - 3
3c
c / 3
What is the result when the polynomial (3x + 4y) is subtracted from (7x + 2y)?
3x + 6y
4x + 2y
4x - 2y
10x + 6y
If (4x + 2y) is added to (9x - 6y), what is the simplified form of the resulting expression?
-5x + 4y
5x - 4y
13x - 8y
13x - 4y
How can the sum of the algebraic expressions (3m + 2n - 5) and (4m - 7n + 8) be written in its simplest form?
7m - 5n + 3
7m + 5n + 3
12m - 9n + 13
13m - 5n - 3
Which explanation best justifies why a3 • a5 = a8?
The result is a8 because powers automatically double when multiplied.
The exponents are subtracted because that is how powers are multiplied.
The exponents are switched because the multiplication changes their positions.
The exponents are added because multiplying powers with the same base means combining all repeated factors of the base.
Which of the following best explains the result of a6 ÷ a2 = a4 using the Quotient Rule?
The base is divided, and then the exponents are doubled.
The exponents are added because both powers share the same base.
The expression becomes negative because division changes the signs of the exponents.
The base stays the same, and the exponents are subtracted because division eliminates copies of the base.
What is the product of multiplying 2x and x + 3?
2x + 6
x2 + 3
2x2 + 3x
2x2 + 6x
What expression is formed when the binomials (3x + 2) and (-2x + 7) is multiplied?
- 6x2 + 14x - 17
- 6x2 + 17x + 14
- 6x2 + 14x + 17
- 6x2 + 17x - 14
What is the result when the expression 12x3 + 6x2 - 18x is divided by 3x?
4x2 + 2x - 6
4x2 + 2x - 6x
4x3 + 2x2 - 6x
36x4 + 18x3 - 54x2
What is the simplified result when 8x3 + 12x2 - 4x is divided by 4x?
2x2 + 3x - 1
2x2 + 3x - x
2x2 + 3x + x
32x4 + 48x3 - 16x2
What is the product of (x + 2)(x + 3)?
x² + 5x + 6
x² + 6x + 5
x² + 5x + 5
x² + 6x + 6
Expand the expression (2x - 1)(x + 4) using the distributive property.
2x² + 7x - 4
2x² - 7x - 4
2x² + 7x + 4
2x² - 7x + 4
A rectangle has a length of (3x + 1) and a width of (x - 2). Which expression represents the area of the rectangle?
3x² - 5x - 2
3x² + 5x - 2
3x² - 5x + 2
3x² + 5x + 2
What is the term for mathematical expressions formed when specific patterns, such as the square of a binomial or the product of a sum and difference, are multiplied?
Special products
Rational expressions
Algebraic Expressions
Measures of Central Tendency
Which step best shows the correct way to evaluate the square of a binomial such as (3x + 2)²?
Multiply only the first terms of the binomial.
Reverse the order of the terms before squaring.
Identify the terms and substitute to the formula (a + b)² = a² + 2ab + b² then simplify.
Identify the terms and substitute to the formula (a + b)² = a² - 2ab + b² then simplify.
What is the expanded form of the special product (x - 4)²?
x² - 16x + 4
x² - 8x + 16
x² - 4x + 4
x² + 16x + 4
What is the result of squaring the binomial (3x - 2)?
9x² + 4
9x² - 4x + 6
9x² - 6x + 4
9x² - 12x + 4
Which expression is equivalent to (a + b)(a - b)?
a² + b²
a² - b²
a² - 2ab + b²
a² + 2ab - b²
What expression is equivalent to the special product (x + 6)(x - 6)?
x² - 36
x² + 36
x² - 36x
x² + 36x
Which expression represents the simplified form of (4m + 11n)(4m - 11n)?
16m² - 121n²
16m² + 121n²
44m² - 121n²
16m² - 44n + 21n²
What is the simplified form of the special product (x + 5)³?
x³ + 10x² + 25x + 125
x³ + 15x² + 75x + 125
x³ + 20x² + 25x + 125
x³ + 25x² + 125x + 125
What is the product of (x + 3)²?
x² + 9
x² + 6x + 9
x² + 6x + 6
x² + 3x + 9
Expand the expression (2y - 5)².
4y² - 25
4y² + 25
4y² - 20y + 25
4y² + 20y + 25
What is the term for a number or polynomial that is multiplied by another to get a product?
Coefficient
Constant
Factor
Term
Which method is being applied when a polynomial like 12x² + 18x is written as 6x(2x + 3) by identifying the greatest monomial common to all terms?
Grouping Method
Distributive Property
Binomial Multiplication
Common Monomial Factoring
What factoring method is used to rewrite an expression like a² - b² as (a + b)(a - b)?
Factoring by Grouping
Completing the Square
Common Monomial Factoring
Factoring the Difference of Two Squares
Which expression represents the factored form of 6x²y + 9xy²?
3x²y² (2 + 3)
3xy (2x + 3y)
6xy(x + y)
9xy(2x + y)
What common factor can be factored out of the polynomial 10a²b + 15ab² to begin simplifying it?
ab
5ab
15ab²
a²b
Which expression represents the factored form of m² - 16?
(m + 8)²
(m - 8)²
(m + 4)(m - 4)
(m + 2)(m - 8)
What is the purpose of simplifying an algebraic expression like 3x + 2x - 5?
To solve for the variable directly.
To make the expression longer and more complex.
To change the expression into a different equation.
To rewrite it in the most compact form without changing its value.
Which of the following is the factored form of the trinomial x² + 8x + 16?
(x + 2)(x + 8)
(x + 4)(x + 4)
(x + 8)(x + 8)
(x + 1)(x + 16)
The area of a square is given by the expression x² + 6x + 9. What is the length of one side of the square?
x + 3
x + 6
x + 9
x² + 3
A rectangular garden has a length of (x + 5) meters and a width of (x - 3) meters. If the area of the garden is 65 square meters, what is the value of x?
5
8
10
13
The difference of two squares is represented by the expression 4x² - 9. What are the two factors of this expression?
(2x + 3) and (2x - 3)
(4x + 3) and (4x - 3)
(2x + 9) and (2x - 9)
(3x - 4) and (3x + 4)
What does the nth term of a sequence describe?
It describes the sum of the first two terms.
It describes the pattern of even and odd numbers.
It describes the name of the last number in a sequence.
It describes the rule for finding any term in the sequence.
What is the rule for finding the nth term of the sequence: 7, 10, 13, 16, …?
n + 7
2n + 5
3n + 1
3n + 4
What is the 12th term of the sequence 4, 9, 14, 19, …?
54
59
64
69
Which number is the 10th term in the arithmetic sequence: 25, 22, 19, 16, …?
- 2
0
1
4
