Math and Logic Problems for 10th Class
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Questions and Answers

What is 58 hundreds rounded to the nearest thousands?

6000

What is 10,000 less than 3 million?

2,990,000

Which number when rounded to the nearest millions becomes 8,000,000?

  • 8.909010 (correct)
  • 7499999
  • 7.099999
  • 8010000

    • What is the least number which when rounded to the nearest hundredths gives 51.64?

    <p>51.636 (D)</p> Signup and view all the answers

    What number subtracted from 450 so that the difference is equal to the sum of 2.73 and 8.0361?

    <p>39.2339</p> Signup and view all the answers

    What is the result when 3.07 is added to itself 12 times?

    <p>36.84</p> Signup and view all the answers

    The result when the cube of 5.1 is increased by 0.032 is

    <p>132.683</p> Signup and view all the answers

    When two ratios are equivalent they are called

    <p>Proportion (D)</p> Signup and view all the answers

    What is the Least Common Multiple (LCM) of 3 and 18?

    <p>18</p> Signup and view all the answers

    Which of the following is divisible by 17?

    <p>1517 (D)</p> Signup and view all the answers

    What is the numerical value of 5 ÷ 5 + 5.5 - 5?

    <p>2.5</p> Signup and view all the answers

    Remove the grouping symbols and simplify: 5 + (7 + 8 - 3)?

    <p>17</p> Signup and view all the answers

    Simplify the following: -8 - (3 + 10 - 9)?

    <p>-12</p> Signup and view all the answers

    Remove the symbols of grouping and simplify: (-x² + 3x - 3)?

    <p>-x² + 3x - 3</p> Signup and view all the answers

    Give the ratio of 18 Clinical Instructors to 12 Nursing Students?

    <p>3:2</p> Signup and view all the answers

    How many hectares are there in a rectangular field measuring 750m wide and 800m long?

    <p>60</p> Signup and view all the answers

    What is the difference between 109 and 49?

    <p>60</p> Signup and view all the answers

    Melchor played basketball for the College Varsity Team. He attempted 45 free throws and shot 85% of these. How many free throws did he make?

    <p>38</p> Signup and view all the answers

    How much is 25% of 55% of 350?

    <p>48.13</p> Signup and view all the answers

    A certain number doubled and increased by 15 is 29. What is the number?

    <p>7</p> Signup and view all the answers

    What is the floor area of a 5 storey building whose each floor measures 15m x 22.5?

    <p>1687.50 sq. m.</p> Signup and view all the answers

    In the series of 1, 5, 10, 16, 23,..., the 8th term is?

    <p>50</p> Signup and view all the answers

    What is the remainder of the division 5100÷7?

    <p>2</p> Signup and view all the answers

    How many factors of 2000 are perfect squares?

    <p>6</p> Signup and view all the answers

    How many odd integers are there in 10/4 and 71/3?

    <p>11</p> Signup and view all the answers

    If the sum of four different prime numbers is an odd number, what is the smallest of the four?

    <p>5 (D)</p> Signup and view all the answers

    Charice weighs 94 kilos. How much is her weight in pounds?

    <p>206.13</p> Signup and view all the answers

    How many ribbons, each at 12 3/4 cm long, can be obtained from a roll of 6.63 meters long?

    <p>51</p> Signup and view all the answers

    Change the following percent to decimals: 25%, 5.5%, 4%, and 35.5%

    <p>0.25,; 0.055,; 0.04,; 0.355 (A)</p> Signup and view all the answers

    Express in Scientific Notation: .000435

    <p>4.35 x 10⁻⁴ (C)</p> Signup and view all the answers

    Which of the following gives the sum of the polynomials by a monomial? (x + 2y) (3x² – 5xy + y²)

    <p>3x³ + x²y - 9 xy² + 2y³ (A)</p> Signup and view all the answers

    Find the products of two binomials with similar terms? (x – 4y) (x + 7y)

    <p>x² + 3xy - 28y² (B)</p> Signup and view all the answers

    Which of the following equation has the LEAST value?

    <p>6 + 2 x 2 = (C)</p> Signup and view all the answers

    There are two numbers whose sum is 48. One of the numbers is greater by 6. What are the numbers?

    <p>21, 27 (B)</p> Signup and view all the answers

    If MANILA can be written as NBOJMB, then how would you write BAGUIO?

    <p>CBHVJP (B)</p> Signup and view all the answers

    Which of the figures, you think best fits the series below?

    <p>↑ (A)</p> Signup and view all the answers

    Which of the figures can be used to continue the series given below?

    <p>◇ (A)</p> Signup and view all the answers

    Which completes the pattern?

    <p>.... (A), .... (B), .... (C), .... (D)</p> Signup and view all the answers

    Identify the figure that completes the pattern.

    <p>4 (D)</p> Signup and view all the answers

    If you begin to fold along the dotted line, which of the following figures would follow the figure given below?

    <p>▽ (B)</p> Signup and view all the answers

    Which figure is next in the series?

    <p>3 (C)</p> Signup and view all the answers

    What completes the following pattern?

    <p>↑ (B), ↑ (D)</p> Signup and view all the answers

    AB, AC, AD, A

    <p>AE (A)</p> Signup and view all the answers

    A17, B34, D51, E

    <p>68 (B)</p> Signup and view all the answers

    A, B35, C40, D45

    <p>34 (B)</p> Signup and view all the answers

    What is the total number of students in the class?

    <p>27 (B)</p> Signup and view all the answers

    How many students learn piano not guitar?

    <p>17 (B)</p> Signup and view all the answers

    How many students learn just the guitar?

    <p>8 (D)</p> Signup and view all the answers

    How many students learn just the piano or the guitar?

    <p>17 (C)</p> Signup and view all the answers

    Which store gave the worst value of money?

    <p>Store V (B)</p> Signup and view all the answers

    Which two shops charged the same price per kilogram?

    <p>Store V and W (A)</p> Signup and view all the answers

    At which store should you go get three times the amount of sugar for the same price as store 7?

    <p>Store Y (A)</p> Signup and view all the answers

    Which department has the most number of enrollees?

    <p>Education (A)</p> Signup and view all the answers

    What is the approximate enrollment in the Business Administration department?

    <p>8,000 (C)</p> Signup and view all the answers

    What is the approximate enrollment of the College of Business Administration and Liberal Arts Departments?

    <p>10,000 (D)</p> Signup and view all the answers

    What percent is spent on food?

    <p>35% (A)</p> Signup and view all the answers

    How much money was spent for clothing?

    <p>10% (C)</p> Signup and view all the answers

    How much is their savings?

    <p>15% (B)</p> Signup and view all the answers

    On which item is the budget spent most?

    <p>Food (B)</p> Signup and view all the answers

    What is the total percentage of the expenses for savings, insurance and other expenses?

    <p>35% (A)</p> Signup and view all the answers

    From the statement "all politicians are liars", which of the following can be immediately inferred?

    <p>Some liars are politicians. (A)</p> Signup and view all the answers

    What is wrong with the following argument. “All men are banana-eaters, but all monkeys are also banana-eaters; therefore, all men are monkeys.”

    <p>No class of men and monkeys follows under the same category (A)</p> Signup and view all the answers

    From the statement, "if you study hard, you will pass the Civil Service Exams", which of the following can be immediately inferred?

    <p>Studying hard is a sufficient condition for passing the Civil Service Commission Exams. (C)</p> Signup and view all the answers

    Flashcards

    Rounding 58 hundreds

    58 hundreds rounded to the nearest thousand is 6000.

    3 million minus 10,000

    10,000 less than 3 million equals 2,990,000.

    Rounding to millions

    The number that rounds to 8 million is between 7.5 million and 8.5 million.

    Least number for rounding

    The least number that rounds to 51.64 is 51.635.

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    Subtracting for a sum

    To find what number subtracted from 450 equals the sum of 2.73 and 8.0361, the answer is 39.2339.

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    Adding multiple times

    Adding 3.07 to itself 12 times gives you 36.84.

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    Cube and increase

    The cube of 5.1, increased by 0.032, is approximately 132.683.

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    Equivalent ratios

    When two ratios are equivalent, they are termed as Proportion.

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    Finding LCM

    The Least Common Multiple (LCM) of 3 and 18 is 18.

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    Divisibility check

    1547 is divisible by 17.

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    Numerical expression evaluation

    5÷5 + 5.5 - 5 equals 25.

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    Simplifying expressions

    5 + (7 + 8 - 3) simplifies to 17.

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    Negative simplification

    Simplify -8 - (3 + 10 - 9) to -12.

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    Group symbols simplification

    Removing grouping symbols from (-x² + 3x - 3) keeps it as -x² + 3x - 3.

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    Ratio of instructors to students

    The ratio of 18 Clinical Instructors to 12 Nursing Students is simplified to 3:2.

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    Area calculation

    A 750m by 800m field has an area of 60 hectares.

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    Difference between numbers

    The difference between 109 and 49 is 60.

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    Basketball free throw success

    Melchor made 38 out of 45 free throws, lacking 85%.

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    Percentage calculations

    25% of 55% of 350 is approximately 48.13.

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    Solving equations

    The equation 2x + 15 = 29 solves to x = 7.

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    Floor area of building

    Each floor area of a 5-storey building measuring 15m x 22.5m results in 1,688.75 sq. m.

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    Finding series terms

    In the series 1, 5, 10, 16, 23, the 8th term is 61.

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    Dividing with a remainder

    The remainder of 5100 ÷ 7 is 2.

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    Perfect square factors

    There are 6 factors of 2000 that are perfect squares.

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    Counting odd integers

    There are eleven odd integers between 10/4 and 71/3.

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    Smallest prime number

    The smallest prime number in a set summing to an odd number must be 5.

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    Study Notes

    Math Problems

    • Rounding: 58 hundreds rounded to the nearest thousand is 6000.

    • Subtraction: 10,000 less than 3 million is 2,990,000.

    • Rounding to Millions: A number rounded to 8,000,000 in the millions place must end in 000,000 to the specified range for example: 7,999,999. A number when rounded to nearest millions would in this case 8,000,000 be 8,000,000 if rounding 7,099.999 - 7,999,999

    • Rounding to Hundredths: The least number that rounds to 51.64 when rounded to the nearest hundredth is 51.636.

    • Subtraction and Sum: Subtracting a number from 450 to equal the sum of 2.73 and 8.0361 results in 41.9639.

    • Multiplication: 3.07 added to itself 12 times is 36.84.

    • Cube of a Number Increased The result of 5.1 cubed with an extra 0.032 added is 132.777

    • Ratios Two equal ratios are called a proportion.

    Logic Problems

    • LCM: The least common multiple of 3 and 18 is 18.

    • Division by 17: From the given options, 1547 is divisible by 17.

    • Numerical Value: The numerical value of 5 ÷ 5 + 5.5 - 5 is 25.

    • Simplifying Expressions: Simplifying 5 + (7 + 8 − 3) equals 17.

    • Simplifying Expressions With Parentheses: Simplifying -8 - (3 + 10 - 9) results in -12

    • Simplifying Grouping Symbols: Removing grouping symbols and simplifying (-x² + 3x – 3) yields (-x² + 3x − 3).

    • Ratio: The ratio of 18 clinical instructors to 12 nursing students is 3:2.

    • Area (Hectares): A rectangular field that is 750m wide and 800m long translates to 60 hectares.

    • Difference: The difference between 109 and 49 is 60.

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    Civil Service Examination Past Paper PDF - Math, Logic

    Description

    Test your understanding of various math and logic concepts with this quiz designed for 10th class students. It covers topics like rounding, subtraction, multiplication, and ratios. Additionally, the quiz includes logic problems involving least common multiples and divisibility.

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