Podcast
Questions and Answers
Which of the following numbers, when expressed in decimal form, would result in a non-terminating, repeating decimal?
Which of the following numbers, when expressed in decimal form, would result in a non-terminating, repeating decimal?
- $rac{5}{8}$
- $rac{13}{16}$
- $rac{11}{60}$ (correct)
- $rac{16}{25}$
Solve for $x$: $3(x + 2) - 2(x - 1) = 7 + x$
Solve for $x$: $3(x + 2) - 2(x - 1) = 7 + x$
- No solution (correct)
- $x = 15$
- $x = 1$
- Infinitely many solutions
The angles of a quadrilateral are in the ratio 2:4:5:7. What is the difference between the largest and smallest angle?
The angles of a quadrilateral are in the ratio 2:4:5:7. What is the difference between the largest and smallest angle?
- $120^{\circ}$
- $90^{\circ}$ (correct)
- $50^{\circ}$
- $100^{\circ}$
A survey asks people their favorite color. The results are: Red (30%), Blue (25%), Green (20%), Yellow (15%), Other (10%). If a pie chart is created to represent this data, what would be the central angle corresponding to 'Green'?
A survey asks people their favorite color. The results are: Red (30%), Blue (25%), Green (20%), Yellow (15%), Other (10%). If a pie chart is created to represent this data, what would be the central angle corresponding to 'Green'?
Evaluate: $\sqrt{169} + \sqrt[3]{216} - \sqrt{81}$
Evaluate: $\sqrt{169} + \sqrt[3]{216} - \sqrt{81}$
If $x:y = 3:5$ and $y:z = 2:3$, then what is $x:z$?
If $x:y = 3:5$ and $y:z = 2:3$, then what is $x:z$?
Simplify: $(2a + 3b)^2 - (2a - 3b)^2$
Simplify: $(2a + 3b)^2 - (2a - 3b)^2$
A rectangular field is 30m long and 20m wide. A path of uniform width runs around the inside of the field. If the area of the path is 200 $m^2$, then what is the width of the path?
A rectangular field is 30m long and 20m wide. A path of uniform width runs around the inside of the field. If the area of the path is 200 $m^2$, then what is the width of the path?
What is the value of $\frac{2^{5} \times 2^{-3}}{2^{-2}}$?
What is the value of $\frac{2^{5} \times 2^{-3}}{2^{-2}}$?
If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours?
If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours?
Factorize: $4x^2 - 9y^2 + 2x + 3y$
Factorize: $4x^2 - 9y^2 + 2x + 3y$
A point is plotted on a graph at (3, -2). If the graph is translated 4 units to the left and 3 units up, what are the new coordinates of the point?
A point is plotted on a graph at (3, -2). If the graph is translated 4 units to the left and 3 units up, what are the new coordinates of the point?
What is the value of $(\sqrt{81})^3 - (\sqrt[3]{27})^4$?
What is the value of $(\sqrt{81})^3 - (\sqrt[3]{27})^4$?
By what percentage is 25% of 80 greater than 20% of 60?
By what percentage is 25% of 80 greater than 20% of 60?
Simplify: $(x + 2)(x - 2) - (x - 3)^2$
Simplify: $(x + 2)(x - 2) - (x - 3)^2$
A square has a side length of 10 cm. If the side length is increased by 20%, by what percentage does the area increase?
A square has a side length of 10 cm. If the side length is increased by 20%, by what percentage does the area increase?
If $2^x = 32$, what is the value of $2^{x-3}$?
If $2^x = 32$, what is the value of $2^{x-3}$?
If $a$ is inversely proportional to $b$, and $a = 4$ when $b = 6$, what is the value of $a$ when $b = 8$?
If $a$ is inversely proportional to $b$, and $a = 4$ when $b = 6$, what is the value of $a$ when $b = 8$?
Factorize completely: $3x^3 - 12x$
Factorize completely: $3x^3 - 12x$
The graph of the equation $y = 2x + 3$ is given. Which of the following points lies on the same line?
The graph of the equation $y = 2x + 3$ is given. Which of the following points lies on the same line?
Flashcards
Rational Number
Rational Number
Numbers that can be expressed as a fraction p/q, where p and q are integers and q is not zero.
Linear Equation
Linear Equation
An equation where the highest power of the variable is 1.
Quadrilateral
Quadrilateral
A closed, four-sided polygon.
Data Handling
Data Handling
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Square of a Number
Square of a Number
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Square Root
Square Root
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Cube of a Number
Cube of a Number
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Cube Root
Cube Root
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Comparing Quantities
Comparing Quantities
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Algebraic Expression
Algebraic Expression
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Algebraic Identities
Algebraic Identities
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Mensuration
Mensuration
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Exponent
Exponent
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Direct Proportion
Direct Proportion
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Inverse Proportion
Inverse Proportion
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Factorization
Factorization
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Introduction to Graphs
Introduction to Graphs
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Study Notes
- Rational numbers are covered
- Linear equations in one variable are covered
- Understanding quadrilaterals is covered
- Data handling is covered
- Squares and square roots are covered
- Cubes and cube roots are covered
- Comparing quantities is covered
- Algebraic expressions and identities are covered
- Mensuration is covered
- Exponents and powers are covered
- Direct and inverse proportions are covered
- Factorisation is covered
- Introduction to graphs is covered
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