Podcast
Questions and Answers
What is the simplified form of the expression $\frac{x^2y}{-7x^3y^{-2}}$ with positive indices?
What is the simplified form of the expression $\frac{x^2y}{-7x^3y^{-2}}$ with positive indices?
- $-\frac{y^5}{7x^2}$
- $-\frac{y^3}{7x^5}$ (correct)
- $-\frac{7y^3}{x}$
- $-\frac{y^3}{7x}$
When solving the equation $1 + \frac{y}{4} = \frac{y}{3}$, what is the value of y?
When solving the equation $1 + \frac{y}{4} = \frac{y}{3}$, what is the value of y?
- $12$ (correct)
- $-4$
- $0$
- $-12$
Which of the following represents the factorization of $4a^3 - 12a^2b$?
Which of the following represents the factorization of $4a^3 - 12a^2b$?
- $a(4a^2 - 12b)$
- $2a(2a^2 - 6ab)$
- $4a(a^2 - 3b)$
- $4a^2(a - 3b)$ (correct)
What is the area of a square when the side length is given to be x cm?
What is the area of a square when the side length is given to be x cm?
If an equilateral triangle is formed using a wire where each side is 6 cm longer than that of a square, how would you express the side length of the square s in relation to the triangle?
If an equilateral triangle is formed using a wire where each side is 6 cm longer than that of a square, how would you express the side length of the square s in relation to the triangle?
What is the value of $343 cm^3$ in scientific notation?
What is the value of $343 cm^3$ in scientific notation?
What does the equation $(a^n + 1)(a^n - 1) = a^{2n} - 1$ prove?
What does the equation $(a^n + 1)(a^n - 1) = a^{2n} - 1$ prove?
What is the total loss percentage if the marked price is $400 more than the cost price and the bag is sold at a discount of 25%?
What is the total loss percentage if the marked price is $400 more than the cost price and the bag is sold at a discount of 25%?
What is the simplified form of the expression $(b^2 - 1/2) ÷ (1 - a^2/ab^2) ÷ (b - ab^2)$ after using the factorization from part (a)?
What is the simplified form of the expression $(b^2 - 1/2) ÷ (1 - a^2/ab^2) ÷ (b - ab^2)$ after using the factorization from part (a)?
How can the equation $3^{3x + 1} = 81$ be rewritten in exponential form to make solving easier?
How can the equation $3^{3x + 1} = 81$ be rewritten in exponential form to make solving easier?
If a bedroom contains $3.4 imes 10^9$ dust particles per m³ and the large bedroom has a volume of 120 m³, what is the total number of dust particles in the large bedroom in scientific notation?
If a bedroom contains $3.4 imes 10^9$ dust particles per m³ and the large bedroom has a volume of 120 m³, what is the total number of dust particles in the large bedroom in scientific notation?
What is the area of the rectangle XABC in terms of height $h$ based on the right-angled triangle XYZ?
What is the area of the rectangle XABC in terms of height $h$ based on the right-angled triangle XYZ?
What is the weight of the dust particles in the two bedrooms in scientific notation if there are $9.82 imes 10^{10}$ dust particles in the small bedroom and each dust particle weighs $7.53 imes 10^{-10}$ g?
What is the weight of the dust particles in the two bedrooms in scientific notation if there are $9.82 imes 10^{10}$ dust particles in the small bedroom and each dust particle weighs $7.53 imes 10^{-10}$ g?
For the equation $9(3^{2x}) - 80(3^{3x+1}) - 81 = 0$, which value of $x$ is a valid solution?
For the equation $9(3^{2x}) - 80(3^{3x+1}) - 81 = 0$, which value of $x$ is a valid solution?
What is the statement $ax^2 + bx ext{ is less than or equal to } rac{b^2}{4a}$ demonstrating when a < 0?
What is the statement $ax^2 + bx ext{ is less than or equal to } rac{b^2}{4a}$ demonstrating when a < 0?
Which of the following is the correct simplification of the expression $\frac{a}{a + b} + \frac{b}{a - b}$?
Which of the following is the correct simplification of the expression $\frac{a}{a + b} + \frac{b}{a - b}$?
What is the value of $\frac{a - b}{a + b}$ if $\frac{a}{a + b} + \frac{b}{a - b} = \frac{5}{4}$?
What is the value of $\frac{a - b}{a + b}$ if $\frac{a}{a + b} + \frac{b}{a - b} = \frac{5}{4}$?
For the equation $(x − p)(x − q)(x − r) = 0$, which of the following represents the roots?
For the equation $(x − p)(x − q)(x − r) = 0$, which of the following represents the roots?
If $x + y + z = 3$ and $\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = \frac{1}{3}$, which statement must be true?
If $x + y + z = 3$ and $\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = \frac{1}{3}$, which statement must be true?
What is the area of rectangle PABC if its dimensions are represented by $x$?
What is the area of rectangle PABC if its dimensions are represented by $x$?
Given the area of rectangle PABC is 18 cm², what is the value of $CR$ if the area can be expressed as $\text{length} \times \text{width}$?
Given the area of rectangle PABC is 18 cm², what is the value of $CR$ if the area can be expressed as $\text{length} \times \text{width}$?
Which of the following values satisfies the equation $\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = \frac{1}{3}$ if $x + y + z = 3$?
Which of the following values satisfies the equation $\frac{1}{x} + \frac{1}{y} + \frac{1}{z} = \frac{1}{3}$ if $x + y + z = 3$?
What does the equation $xyz = a(yz + xz + xy)$ demonstrate about the relationship between $x$, $y$, $z$, and $a$?
What does the equation $xyz = a(yz + xz + xy)$ demonstrate about the relationship between $x$, $y$, $z$, and $a$?
Flashcards
Simplify x²y/-7x³y⁻²
Simplify x²y/-7x³y⁻²
Express the expression x²y/-7x³y⁻² with positive indices.
Solve 1+y/4 = y/3
Solve 1+y/4 = y/3
Find the value of y that satisfies the equation 1 + y/4 = y/3.
Prove (aⁿ+1)(aⁿ-1)=a²ⁿ-1 for a≠0
Prove (aⁿ+1)(aⁿ-1)=a²ⁿ-1 for a≠0
Show that the product of (aⁿ+1) and (aⁿ-1) equals a²ⁿ-1 when a is not zero
Simplify 2aⁿ/(a²ⁿ-1)(aⁿ-1)
Simplify 2aⁿ/(a²ⁿ-1)(aⁿ-1)
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Factorise 4a³-12a²b
Factorise 4a³-12a²b
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Factorise 4a³-12a²b-ab²+3b³
Factorise 4a³-12a²b-ab²+3b³
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Find A and B in (x-2)(x²+5x-1) = Bx(x+1)² - 7x(x+A) + A
Find A and B in (x-2)(x²+5x-1) = Bx(x+1)² - 7x(x+A) + A
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Area of the square given equilateral triangle and same wire length
Area of the square given equilateral triangle and same wire length
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Area of a rectangle
Area of a rectangle
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Solving a quadratic equation
Solving a quadratic equation
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Simplifying a fraction
Simplifying a fraction
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Finding an algebraic fraction
Finding an algebraic fraction
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Multiple Choice Questions
Multiple Choice Questions
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Quadratic equation
Quadratic equation
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Mid-year examination
Mid-year examination
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Mathematics
Mathematics
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Factorizing $b-ab^2$
Factorizing $b-ab^2$
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Solving $3^{3x+1} = 81$
Solving $3^{3x+1} = 81$
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Scientific Notation for Dust Particles
Scientific Notation for Dust Particles
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Area of a rectangle XABC
Area of a rectangle XABC
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Solving an equation with $3^{2x}$ and $3^{3x+1}$
Solving an equation with $3^{2x}$ and $3^{3x+1}$
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Finding BC in terms of h
Finding BC in terms of h
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Proportions in similar triangles
Proportions in similar triangles
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Finding BC in terms of x (Similar triangles)
Finding BC in terms of x (Similar triangles)
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Study Notes
2023-24 Mid-Year Examination - Grade 8 Mathematics
-
Examination Structure:
- Part I: Conventional Questions (100 marks) - 1 hour 40 minutes.
- Part II: Multiple Choice Questions (36 marks) - 1 hour 40 minutes
-
Instructions:
- Write name, class, and class number.
- Answer the questions in the allotted spaces.
- Show all working clearly.
- The diagrams provided are not necessarily drawn to scale.
- Measurements are not solutions unless explicitly stated.
- Numerical answers should be exact unless otherwise specified.
- HKEAA-approved calculators allowed (or non-CAS version of TI-nspire calculators).
Instructions (Part II-Multiple Choice)
- Time Allotted: 1 hour 40 minutes.
- Number of Questions: 36, each with equal marks.
- Answering Method: Mark answers on a separate answer sheet using pencil (only).
- Answer Sheet: Write name, class, and class number on both the question booklet and the answer sheet.
Instructions (General)
- Figures and Diagrams: Diagrams are not drawn to scale. Measurements are not solutions unless indicated otherwise.
- Best Answer: Select only the best possible option or answer for each question.
Additional Notes
- The provided document is a question paper. The solutions for the questions are not included.
- Examination dates are not specified.
- The complete examination consists of 2 parts.
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Description
Prepare for your Grade 8 Mathematics mid-year examination with this comprehensive quiz covering both conventional and multiple-choice questions. This assessment includes various mathematical concepts and requires clarity in your working process. Make sure to follow the instructions carefully to optimize your performance.
