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

Flashcards

Sum of Interior Angles of a Polygon

In a polygon, the sum of its interior angles is calculated by the formula: (n-2) * 180 degrees where 'n' represents the number of sides of the polygon.

Average

The average is calculated by summing all the values in a set and then dividing the sum by the total number of values in the set.

Area of a Circle

The area of a circle is calculated by the formula: πr², where 'π' is a mathematical constant approximately equal to 22/7 or 3.14 and 'r' represents the radius of the circle.

Line Graph

A line graph visually represents data as points connected by lines, showing trends and changes over time or other variables.

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Equation

An equation is a mathematical statement that asserts the equality of two expressions. It typically includes variables, constants, and mathematical operations.

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What is a Rhombus?

A parallelogram with all sides equal.

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Circumference of a circle

The circumference of a circle is the distance around its outer edge. The formula for circumference is C = 2Ï€r, where r is the radius of the circle.

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What is a perfect square?

A perfect square is a number that is the product of an integer multiplied by itself. For example, 1, 4, 9, 16, 25, and so on.

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Direct and inverse proportion in filling a tank,

The time it takes for a certain number of pipes to fill a tank can be calculated using the inverse proportion relationship. If more pipes are working, the time taken will reduce proportionally.

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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 Ï€ = 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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