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Questions and Answers
What must candidates do with the Q.P.Code on the question paper?
What must candidates do with the Q.P.Code on the question paper?
What should candidates ensure about the number of printed pages in the question paper?
What should candidates ensure about the number of printed pages in the question paper?
How many questions are included in the question paper?
How many questions are included in the question paper?
What time is allocated for students to read the question paper?
What time is allocated for students to read the question paper?
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What should candidates do before attempting a question?
What should candidates do before attempting a question?
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Which of the following statements is correct regarding the examination time?
Which of the following statements is correct regarding the examination time?
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What instruction is provided about writing answers during the reading period?
What instruction is provided about writing answers during the reading period?
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What is the maximum marks for the mathematics (basic) paper?
What is the maximum marks for the mathematics (basic) paper?
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What is the value of the expression $ rac{14 - 5 imes ext{cot}(2q) imes ext{cos}(2q)}{0}$?
What is the value of the expression $ rac{14 - 5 imes ext{cot}(2q) imes ext{cos}(2q)}{0}$?
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What is the discriminant of the quadratic equation $x^2 - 4x + 3 = 0$?
What is the discriminant of the quadratic equation $x^2 - 4x + 3 = 0$?
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What is the probability of drawing a yellow ball from a bag containing 4 red balls and 2 yellow balls?
What is the probability of drawing a yellow ball from a bag containing 4 red balls and 2 yellow balls?
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What are the roots of the quadratic equation $x^2 + 3x + 2 = 0$?
What are the roots of the quadratic equation $x^2 + 3x + 2 = 0$?
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What is the prime factorization of 882?
What is the prime factorization of 882?
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Which statement accurately describes the assertion and reason relationship for the assertion that the common difference of the A.P. $5, 1, -3, -7$ is 4?
Which statement accurately describes the assertion and reason relationship for the assertion that the common difference of the A.P. $5, 1, -3, -7$ is 4?
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What is the probability of rolling an 8 on a standard die?
What is the probability of rolling an 8 on a standard die?
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What is the value of k if $ rac{1}{2}$ is a root of the quadratic equation $x^2 + kx - \frac{5}{4} = 0$?
What is the value of k if $ rac{1}{2}$ is a root of the quadratic equation $x^2 + kx - \frac{5}{4} = 0$?
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What is the result of evaluating $tan^2(30°) - tan^2(60°) + cosec^2(45°)$?
What is the result of evaluating $tan^2(30°) - tan^2(60°) + cosec^2(45°)$?
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If a tangent drawn to a circle from a point A is 6 cm long and the distance from A to the center of the circle is 10 cm, what is the radius of the circle?
If a tangent drawn to a circle from a point A is 6 cm long and the distance from A to the center of the circle is 10 cm, what is the radius of the circle?
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What is the value of $a^2 + b^2 + ab$ if $a$ and $b$ are the zeroes of the polynomial $2x^2 + 7x + 5$?
What is the value of $a^2 + b^2 + ab$ if $a$ and $b$ are the zeroes of the polynomial $2x^2 + 7x + 5$?
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What ratio does the point (3, y) divide the line segment from (-2, -5) to (6, 3) if its coordinates are given?
What ratio does the point (3, y) divide the line segment from (-2, -5) to (6, 3) if its coordinates are given?
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What is the area that a horse tied with a 14 m long rope at a corner of a 20 m equilateral triangle cannot graze?
What is the area that a horse tied with a 14 m long rope at a corner of a 20 m equilateral triangle cannot graze?
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Which of the following coordinates represents the points of trisection of the line segment joining A(5, -3) and B(-4, 3)?
Which of the following coordinates represents the points of trisection of the line segment joining A(5, -3) and B(-4, 3)?
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What is a possible outcome when proving that $3 - 2\ imes\sqrt{5}$ is irrational given that $\ ext{sqrt{5}}$ is irrational?
What is a possible outcome when proving that $3 - 2\ imes\sqrt{5}$ is irrational given that $\ ext{sqrt{5}}$ is irrational?
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If all shoes displayed in the 4th row are sold out at a price of less than 500 each, what is the maximum amount earned if there are 10 pairs?
If all shoes displayed in the 4th row are sold out at a price of less than 500 each, what is the maximum amount earned if there are 10 pairs?
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What is the height of pole AB if the angle of elevation of pole PQ from the top of pole AB is 30° and the poles are 40 m apart?
What is the height of pole AB if the angle of elevation of pole PQ from the top of pole AB is 30° and the poles are 40 m apart?
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What is the probability of selecting a family with two or three children?
What is the probability of selecting a family with two or three children?
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If a family is randomly selected, what is the probability that it has more than one child?
If a family is randomly selected, what is the probability that it has more than one child?
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How far down from the smaller pole AB is the coupling if it is positioned at a height of 20 m?
How far down from the smaller pole AB is the coupling if it is positioned at a height of 20 m?
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Which of the following represents the total family percentage with at least one child in the USA?
Which of the following represents the total family percentage with at least one child in the USA?
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What is the combined probability of selecting a family with fewer than three children?
What is the combined probability of selecting a family with fewer than three children?
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If the angle of elevation of the top of pole PQ from pole AB is known to be 30°, which of the following distances is true for the triangle formed?
If the angle of elevation of the top of pole PQ from pole AB is known to be 30°, which of the following distances is true for the triangle formed?
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What will be the fraction if 2 is added to the numerator and 1 is added to the denominator to make it equal to $\frac{4}{3}$?
What will be the fraction if 2 is added to the numerator and 1 is added to the denominator to make it equal to $\frac{4}{3}$?
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In the age distribution data provided, which age group has the highest number of patients?
In the age distribution data provided, which age group has the highest number of patients?
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What is the median age from the given data of patient ages?
What is the median age from the given data of patient ages?
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What is the surface area of a toy shaped as a cone with a radius of 7 cm and a total height of 31 cm, mounted on a hemisphere?
What is the surface area of a toy shaped as a cone with a radius of 7 cm and a total height of 31 cm, mounted on a hemisphere?
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If a line is drawn parallel to one side of a triangle and it intersects the other two sides, what happens to the ratios of the segments created?
If a line is drawn parallel to one side of a triangle and it intersects the other two sides, what happens to the ratios of the segments created?
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In the shoe shop display, how many pairs of shoes are displayed in the 6th row?
In the shoe shop display, how many pairs of shoes are displayed in the 6th row?
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What is the total number of pairs of shoes displayed in the first 15 rows?
What is the total number of pairs of shoes displayed in the first 15 rows?
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If a cylinder has a height of 15 cm and a base radius of 4.2 cm, what is the total surface area after scooping out hemispheres from both ends?
If a cylinder has a height of 15 cm and a base radius of 4.2 cm, what is the total surface area after scooping out hemispheres from both ends?
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Study Notes
General Instructions and Exam Structure
- Question paper includes 38 compulsory questions divided into different sections.
- Total duration is 3 hours with a maximum score of 80 marks.
- Candidates must write the Q.P. Code on the title page of their answer book.
Exam Timing
- Students are allocated a 15-minute reading time from 10:15 a.m. to 10:30 a.m. before writing begins.
Question Sections
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Section A: Multiple Choice Questions (MCQs)
- Various mathematical concepts tested (e.g., quadratic equations, probability).
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Section B: Very Short Answer (VSA) Questions
- 2-mark questions covering a mix of topics in mathematics.
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Section C: Short Answer (SA) Questions
- 3-mark questions that require more detailed responses.
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Section D: Long Answer (LA) Questions
- 5-mark questions aimed at comprehensive answers and proofs.
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Section E: Case Study Based Questions
- 4-mark questions focusing on applying mathematical concepts to real scenarios.
Key Mathematical Concepts in Questions
- Quadratic Equations: Discriminants, roots, relationships among coefficients.
- Probability: Basic principles, calculating likelihoods of simple events.
- Geometry: Properties of shapes, area calculations, and theorems related to triangles and circles.
- Averages and Medians: Usage of data sets to analyze distributions (e.g., median age of patients).
- Irrational Numbers: Proving characteristics of specific mathematical values.
Practical Applications of Mathematics
- Scenarios provided in case studies include real-life situations like family structures or geographical measurements using angles of elevation.
- Questions require interpretation of data and calculations based on practical context, enhancing understanding of theoretical concepts.
Answer Format Requirements
- Candidates must show workings for calculations and logic behind proofs.
- Clear notation and organization of the response are expected for score maximization.
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Description
This quiz outlines the structure and timing of a mathematics examination, detailing the various sections and question formats. Students will encounter multiple-choice questions, short answers, and case study-based queries, all contributing to a comprehensive evaluation of their mathematical understanding.
