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Mathematics Problems
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Mathematics Problems

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Questions and Answers

What is the average of the remaining four numbers after one number is removed from the set of five numbers with an average of 20?

  • 19
  • 18 (correct)
  • 16
  • 20
  • If the perimeter of a square is increased by 4 cm, what is the length of one side of the new square?

  • 12 cm (correct)
  • 13 cm
  • 11 cm
  • 10 cm
  • What is the percentage increase in sales if the company sells 750 units in the next year, given that the sales increased from 200 units to 500 units in the previous year?

  • 60%
  • 40%
  • 75%
  • 50% (correct)
  • If the company spends 25% of its budget on marketing and research combined, how much is spent on marketing and research, given that the total budget is $1,000,000?

    <p>$250,000</p> Signup and view all the answers

    What is the percentage increase in production if the company produces 28,000 units in 2020, given that the production increased from 20,000 units in 2018 to 25,000 units in 2019?

    <p>30%</p> Signup and view all the answers

    What is the increase in profit if the company's profit increases from $75,000 in Q2 to $100,000 in Q3?

    <p>$30,000</p> Signup and view all the answers

    What is the markup percentage of the watch if the selling price is $240 and the profit is 20%?

    <p>16.67%</p> Signup and view all the answers

    If a car's value depreciates by 10% each year, what will be its value after 2 years if its current value is $20,000?

    <p>$16,000</p> Signup and view all the answers

    What is the percentage discount on the product if the original price is $50 and the sale price is $40?

    <p>20%</p> Signup and view all the answers

    If you rearrange the letters 'RETAIN', you would have the name of a(n):

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

    If three typists can type three pages in three minutes, how many typists will it take to type 24 pages in eight minutes?

    <p>9</p> Signup and view all the answers

    What is the value of x in the equation 2x + 3 = 5x - 2?

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

    If Jane is three years older than Mike, and Mike is 15, how old is Jane's brother if he is five years older than Jane?

    <p>23</p> Signup and view all the answers

    A rectangle has a length of 12 meters and a width of 4 meters. What is the perimeter of the rectangle?

    <p>32</p> Signup and view all the answers

    Study Notes

    Profit and Loss

    • A watch is sold for 240witha20240 with a 20% profit, so the cost price is 240witha20200.
    • A product is marked down by 20% from its original price of 50,sothesalepriceis50, so the sale price is 50,sothesalepriceis40.

    Depreciation

    • A car depreciates by 10% each year, so its value after 3 years would be 14,580ifitscurrentvalueis14,580 if its current value is 14,580ifitscurrentvalueis20,000.

    Critical Thinking

    • The letters "CIFAIPC" can be rearranged to spell "Pacific".
    • The letters "A E T R G" can be rearranged to spell "Great".
    • Two typists can type two pages in two minutes, so three typists can type 18 pages in six minutes.
    • The equation 3x + 5 = 2x + 10 can be solved to find x = 5.
    • If John is twice as old as Jane, and Jane is three years older than Mike, and Mike is 15, then John is 36.

    Advanced Problem Solving

    • In a class of 60 students, 45% are girls, so there are 33 boys.
    • The area of a rectangle with a length of 10 meters and a width of 5 meters is 50 square meters.
    • In a triangle with angles 50 degrees, 60 degrees, and x degrees, x = 70 since the sum of the angles is 180 degrees.
    • If the average of five numbers is 20, and one number is removed, the average becomes 18, then the number removed is 30.
    • If the perimeter of a square is 36 cm, the length of one side is 9 cm.

    Data Interpretation

    • If sales increased from 200 units to 500 units in a year, the percentage increase is 150%.
    • If a pie chart shows that 40% of the budget is spent on marketing, 30% on research, 20% on development, and 10% on other expenses, and the total budget is 1,000,000,then1,000,000, then 1,000,000,then300,000 is spent on research.
    • If production increased from 20,000 units in 2018 to 25,000 units in 2019, the increase in production is 5,000 units.
    • If profit increased from 50,000inQ1to50,000 in Q1 to 50,000inQ1to75,000 in Q2, the increase in profit is $25,000.
    • If the population increased from 10,000 to 12,000 over a year, the percentage increase in population is 20%.

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    Solve these mathematical problems ranging from basic arithmetic to data interpretation. Test your skills and knowledge in mathematics.

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