Mathematics Test Booklet
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Questions and Answers

What type of polygon has equal diagonals but not all sides equal?

  • Rectangle (correct)
  • Square
  • Rhombus
  • Parallelogram
  • If the circumference of a circle is 88 cm, what is the area of the circle?

  • 600 cm²
  • 612 cm² (correct)
  • 620 cm²
  • 616 cm²
  • How many numbers between 1 to 40 are perfect squares?

  • 7
  • 8
  • 5 (correct)
  • 6
  • If 6 pipes can fill a tank in 1 hour and 30 minutes, how long will it take if 3 pipes stop after filling half the tank?

    <p>130 minutes</p> Signup and view all the answers

    What is the largest angle in a triangle if one angle is 63° and the other two are in the ratio 1:2?

    <p>82°</p> Signup and view all the answers

    What is the average number of articles sold in the first 8 weeks, given the sales data?

    <p>4375</p> Signup and view all the answers

    What is the value of $a² + b² - c$ if $a = √2 + 1$, $b = √3 - √2$, and $c = √6 + 2√2$?

    <p>11 - 3√6</p> Signup and view all the answers

    What does the equation $8(7 + x) = 15 + 3x$ represent based on the problem statement?

    <p>8(7 + x) = 15 + 3x</p> Signup and view all the answers

    If $30\%$ of $(A + B) = 50\%$ of $(A - B)$, what is the ratio of A to B?

    <p>5:3</p> Signup and view all the answers

    What is the result of simplifying $(2.5 - 3.5a)² - (3.5a - 2.5b)²$?

    <p>6a² - 6b²</p> Signup and view all the answers

    Study Notes

    Instructions for Test Booklet

    • This booklet contains 32 pages.
    • Do not open the booklet until instructed.
    • Read the instructions carefully.
    • Use a blue/black ballpoint pen for writing on the OMR sheet.
    • Avoid unnecessary marks on the OMR sheet.
    • The test duration is 3 hours (180 minutes).
    • Answer all questions on the OMR sheet, which is inside the booklet.
    • Fill in your details on the OMR sheet with a blue/black pen.
    • Darken only one circle for each question.
    • Incorrect answers have no negative marking.
    • Hand in the OMR sheet before leaving the room.
    • The code for the booklet is F. Ensure the code matches on OMR and Booklet.

    Section A: Mathematics

    • Question 1: The area of a circle is 2464 cm². Find its radius. (Use π = 22/7).
    • Possible answers: 24, 26, 28, 56
    • Question 2: A line graph shows articles sold over 8 weeks. Find the average number of articles sold.
    • Question 3: Given a = √2+1, b = √3−√2, and c = √6+2√2, find a²+b²−c².
    • Possible answers: 8, 8−3√6, 8+4√2, 11-3√6
    • Question 4: Solve (2.5-3.56)² – (3.5a - 2.5b)²
    • Possible answers: -6a²−6b², 6b²−6a², 6a²+6b², 6a²−6b²
    • Question 5: If 30% of (A + B) = 50% of (A – B), find A:B.
    • Possible answers: 3:5, 5:3, 4:1, 1:4
    • Question 6: Evaluate (a³+1/a³) (a²+1/a²) (a²+1/a) - (ab-b/a²)
    • Possible answers: 8, 16, 32, 64
    • Question 7: Calculate the total number of apples in a fruit store with specific box and apple counts.
    • Question 8: Solve equations relating to a number multiplied by 7-more than itself and the same number times 3 + 15

    Section Subtitle: Other Sections

    • Sections B, C, D, and E include questions on Intelligence, English, General Science, and Social Science.
    • Detail on the specific questions of these sections are not available.

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    Description

    This mathematics test booklet contains a variety of questions designed to assess your knowledge and problem-solving skills in mathematics. Covering topics such as area, averages, and algebraic expressions, this test will challenge your understanding of mathematical concepts. Remember to follow the instructions carefully for the best test experience.

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