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Questions and Answers
What is the missing term in the series 5, 20, 80, ___, 1280?
What is the missing term in the series 5, 20, 80, ___, 1280?
What are the prime factors of 273?
What are the prime factors of 273?
What is the sum of the first 20 counting numbers?
What is the sum of the first 20 counting numbers?
What is the largest prime number less than 100?
What is the largest prime number less than 100?
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What property is illustrated in the equation 5 + (2 + 6) = (5 + 2) + 6?
What property is illustrated in the equation 5 + (2 + 6) = (5 + 2) + 6?
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What is the result of the operation $70 ÷ 7 × 5 + 64 ÷ 4 × 2$?
What is the result of the operation $70 ÷ 7 × 5 + 64 ÷ 4 × 2$?
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How much greater is the sum of the first 20 counting numbers than the sum of the first 10 counting numbers?
How much greater is the sum of the first 20 counting numbers than the sum of the first 10 counting numbers?
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Which of the following numbers is NOT divisible by 3?
Which of the following numbers is NOT divisible by 3?
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What is the value of the expression $3 + 4(5 - 2 × 6) + 12(2 + 4) + 1$?
What is the value of the expression $3 + 4(5 - 2 × 6) + 12(2 + 4) + 1$?
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What is the next term in the sequence 1280, ___, 20, 480?
What is the next term in the sequence 1280, ___, 20, 480?
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Which of the following is the Greatest Common Factor (GCF) of 12 and 42?
Which of the following is the Greatest Common Factor (GCF) of 12 and 42?
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How many floors does the CBRC Headquarters have as indicated in the address?
How many floors does the CBRC Headquarters have as indicated in the address?
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What mathematical operation comes first in the expression $1 + (3 × 6) - 13$?
What mathematical operation comes first in the expression $1 + (3 × 6) - 13$?
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Which of the following represents the content of the warning regarding the material?
Which of the following represents the content of the warning regarding the material?
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What is the primary purpose of the document as indicated in the provided content?
What is the primary purpose of the document as indicated in the provided content?
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Which of the following best describes the listing of numbers at the beginning of the document?
Which of the following best describes the listing of numbers at the beginning of the document?
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How many eggs are required for 32 cups of flour in the custard recipe?
How many eggs are required for 32 cups of flour in the custard recipe?
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What is the least common multiple of 24 and 80?
What is the least common multiple of 24 and 80?
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If a tree that is 5 feet tall casts a shadow of 7 feet, how tall is a second tree that casts a 21 feet shadow?
If a tree that is 5 feet tall casts a shadow of 7 feet, how tall is a second tree that casts a 21 feet shadow?
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In dividing a stick of 96 cm in the ratio 3:4:5, how long is the longest part?
In dividing a stick of 96 cm in the ratio 3:4:5, how long is the longest part?
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Simplify the expression $\frac{a^2 - 1}{a^3 + 1}$.
Simplify the expression $\frac{a^2 - 1}{a^3 + 1}$.
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What is the result of simplifying $2\sqrt{9x^4y^2}$?
What is the result of simplifying $2\sqrt{9x^4y^2}$?
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How much will Carol pay if the ice cream costs 30 pesos and she wants one additional scope for 15 pesos?
How much will Carol pay if the ice cream costs 30 pesos and she wants one additional scope for 15 pesos?
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If a stick is divided in the ratio of 3:4:5, what is the combined length of the shorter parts?
If a stick is divided in the ratio of 3:4:5, what is the combined length of the shorter parts?
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How much will Rozan Department Store pay for a double bed originally priced at P5,000 after a 20% discount?
How much will Rozan Department Store pay for a double bed originally priced at P5,000 after a 20% discount?
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What will be the total amount due at the end of 2 years for an investment of P10,000 at 8% annual simple interest?
What will be the total amount due at the end of 2 years for an investment of P10,000 at 8% annual simple interest?
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If an employee currently earns Php 14,000 and will receive a 10% increase, what will the new salary be?
If an employee currently earns Php 14,000 and will receive a 10% increase, what will the new salary be?
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How much is the total amount John paid for a motorcycle, if he initially paid Php 1,800 and has monthly payments of Php 800 for 3 years?
How much is the total amount John paid for a motorcycle, if he initially paid Php 1,800 and has monthly payments of Php 800 for 3 years?
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What is the interest earned after 3 months on an investment of Php 6,000 at an 8% annual interest rate?
What is the interest earned after 3 months on an investment of Php 6,000 at an 8% annual interest rate?
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Simplify the expression $(4x + 9y - 10z) - (3x + 5y + 11z)$.
Simplify the expression $(4x + 9y - 10z) - (3x + 5y + 11z)$.
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What is the measure of an angle if its measure is twice that of its complement?
What is the measure of an angle if its measure is twice that of its complement?
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What angle relationship exists between the two acute angles of a right triangle?
What angle relationship exists between the two acute angles of a right triangle?
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If the measures of the angles of a triangle are in the ratio of 2:3:4, what is the measure of the middle angle?
If the measures of the angles of a triangle are in the ratio of 2:3:4, what is the measure of the middle angle?
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What is the perimeter of a rectangle with length 15 cm and width 10 cm?
What is the perimeter of a rectangle with length 15 cm and width 10 cm?
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Which set of numbers does NOT represent the sides of a right triangle?
Which set of numbers does NOT represent the sides of a right triangle?
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In a right triangle, the ratio of adjacent to hypotenuse is known as what?
In a right triangle, the ratio of adjacent to hypotenuse is known as what?
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Simplify the expression $(3x - 9) / (x^2 - 9)$.
Simplify the expression $(3x - 9) / (x^2 - 9)$.
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What is the probability of rolling a number divisible by 2 on a standard die?
What is the probability of rolling a number divisible by 2 on a standard die?
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What is the probability of drawing a jack from a standard deck of cards?
What is the probability of drawing a jack from a standard deck of cards?
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What is the probability of randomly selecting a red ball from a box containing 6 red, 4 white, and 5 blue balls?
What is the probability of randomly selecting a red ball from a box containing 6 red, 4 white, and 5 blue balls?
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If a graduated class has 500 boys representing 25% of the total, how many students are there in total?
If a graduated class has 500 boys representing 25% of the total, how many students are there in total?
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In a class of 20 boys and 15 girls, what percentage do the girls represent?
In a class of 20 boys and 15 girls, what percentage do the girls represent?
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What is 25% of 572?
What is 25% of 572?
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If Mark answered 70% of 60 items correctly on his exam, how many items did he answer incorrectly?
If Mark answered 70% of 60 items correctly on his exam, how many items did he answer incorrectly?
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What is the total number of items if 500 boys represent 25% of the graduating class?
What is the total number of items if 500 boys represent 25% of the graduating class?
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Study Notes
Mathematics Exam Questions
- Basic Operations: Solve expressions like 707x5+644x2
- Mathematical Expressions: Evaluate complex expressions involving addition, subtraction, multiplication, division, parentheses, and brackets.
- Word Problems (Water Bill): Calculate water bills given meter readings, basic charges, and per-kiloliter costs, example provided with 417.8kl and 430.4kl meter readings.
- Products of Integers: Identify integer products, example provided with 13 and an integer as the element
- Prime Numbers: Recognize prime numbers and differentiate them from composite numbers; example provided with numbers
- Prime Factorization: Determine the prime factors of a given number, example provided with 273.
- Largest Prime Number: Identify the greatest prime number less than 100, example provided with a number range less than 100.
- Mathematical Properties: Recognize and apply mathematical properties such as associative, distributive, and others.
- Greatest Common Factor (GCF): Calculate the GCF of given numbers and expressions, example provided with 12 and 42.
- Least Common Multiple (LCM): Calculate the LCM of numbers and expressions, example provided.
- Series and Patterns: Identify missing terms in numerical series/patterns/sequences; example 5, 20, 80, ...
- Counting Numbers (Sums): Calculate sums of counting numbers within a specific range, example provided with first 20 counting numbers.
- Divisibility Rules: Apply divisibility rules/tests for different numbers; example provided with 99, 132 and a range of numbers up to 100.
- Fractions (Operations): Solve problems involving fractions; example provided involving fraction 11/23 and operations.
- Measurements (Conversions): Perform conversions between units of measurement, such as centimeters to kilometers; example 1km to cm
- Proportions: Solve problems involving proportions (ratios), example provided with ratio m/12 = 30/24
- Roots and Radicals: Simplify radical expressions, example provided with √9x⁴y²
- Algebraic Expressions: Simplify algebraic expressions of different types. Examples are provided with complex expressions with addition, subtraction, brackets.
- Solving Equations: Solve simple algebraic equations; examples provided including solving for x.
- Functions: Evaluate functions for given values, example provided with a function and value for x.
- Quadratic Equations: Solve quadratic equations, example provided with quadratic equation.
- Geometry (Perimeter): Calculate the perimeter of shapes like rectangles, squares; examples provided with rectangle and square
- Geometry (Area): Calculate areas of shapes like triangles, trapezoids, example provided with trapezoid
- Geometry (Volume): Calculate volumes, example provided with a cube
- Geometry (Right Triangles): Calculate sides of/work with/ identify sides of right triangles, example provided with two sides of a right triangle
- Geometry (Similar Triangles): Solve ratio problems related to similar triangles, example provided with similar triangles involving heights/shadows
- Word Problems (Ratio): Solve problems involving ratios, example provided with a problem involving the division of a stick
- Ratio Problems (Work/Labor): Solve problems involving rates of work and labor; example provided with laborers harvesting coffee.
- Average and Mean: Calculate averages/means; examples provided with test scores/quantities
- Measures of Central Tendency/Statistical Distributions: Identify measures like mode, median, and range from data sets, example provided with a set of scores for a test
- Probability: Calculate probabilities, examples provided with getting particular cards from a deck, or specific occurrences in experiments
- Word Problems (Compound Shapes): Solve problems involving compound shapes, example provided with a shape
- Angles: Calculate measures of angles, example provided with angles and their relationships
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Description
Test your understanding of various mathematical concepts including basic operations, word problems, and prime numbers. This quiz covers evaluating expressions, calculating water bills, and identifying prime factors. Challenge yourself with a range of questions to reinforce your math skills.
