Podcast
Questions and Answers
Solve for $x$: $3(x + 2) - 5 = 4(x - 1)$
Solve for $x$: $3(x + 2) - 5 = 4(x - 1)$
$x = 5$
Solve the inequality: $2x - 3 < 7$
Solve the inequality: $2x - 3 < 7$
$x < 5$
Estimate the value of $4567 \div 23$ by rounding each number to the nearest ten.
Estimate the value of $4567 \div 23$ by rounding each number to the nearest ten.
230
Calculate $\frac{2}{5} + \frac{1}{3} - \frac{1}{6}$.
Calculate $\frac{2}{5} + \frac{1}{3} - \frac{1}{6}$.
Express 35% as a simplified fraction.
Express 35% as a simplified fraction.
Given that $a:b = 3:5$ and $b:c = 2:7$, find the ratio $a:c$.
Given that $a:b = 3:5$ and $b:c = 2:7$, find the ratio $a:c$.
Truncate the number 3.14159 to 3 decimal places.
Truncate the number 3.14159 to 3 decimal places.
Describe what information can be gathered from a stem and leaf diagram.
Describe what information can be gathered from a stem and leaf diagram.
On a cumulative frequency curve, what does the y-axis represent?
On a cumulative frequency curve, what does the y-axis represent?
What does the length of the box in a box plot represent?
What does the length of the box in a box plot represent?
Estimate the mean of a grouped data set using midpoints of intervals. The following data is given. Interval: 0-10, Freq: 5, Interval: 10-20, Freq: 8, Interval: 20-30, Freq: 2
Estimate the mean of a grouped data set using midpoints of intervals. The following data is given. Interval: 0-10, Freq: 5, Interval: 10-20, Freq: 8, Interval: 20-30, Freq: 2
Find the nth term of the sequence: 2, 5, 8, 11,...
Find the nth term of the sequence: 2, 5, 8, 11,...
If $A = {1, 2, 3, 4, 5}$ and $B = {3, 5, 6, 7}$, what is $A \cap B$?
If $A = {1, 2, 3, 4, 5}$ and $B = {3, 5, 6, 7}$, what is $A \cap B$?
Rearrange the formula $v = u + at$ to make $t$ the subject.
Rearrange the formula $v = u + at$ to make $t$ the subject.
Simplify: $\frac{x^5 \times x^{-2}}{x^3}$
Simplify: $\frac{x^5 \times x^{-2}}{x^3}$
Write 0.000047 in standard form.
Write 0.000047 in standard form.
Rationalize the denominator: $\frac{2}{\sqrt{3}}$
Rationalize the denominator: $\frac{2}{\sqrt{3}}$
A bag contains 3 red balls and 5 blue balls. What is the probability of picking a red ball at random?
A bag contains 3 red balls and 5 blue balls. What is the probability of picking a red ball at random?
Two numbers are in the ratio 2:3. If the smaller number is 12, what is the larger number?
Two numbers are in the ratio 2:3. If the smaller number is 12, what is the larger number?
In a right-angled triangle, the two shorter sides are 5 cm and 12 cm. What is the length of the hypotenuse?
In a right-angled triangle, the two shorter sides are 5 cm and 12 cm. What is the length of the hypotenuse?
Flashcards
Solving Linear Equations
Solving Linear Equations
Finding the value of the variable that makes the equation true.
Inequalities
Inequalities
A mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.
Rounding
Rounding
Approximating a value by expressing it to a required degree of accuracy.
Place Value
Place Value
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Calculating with Fractions & Decimals
Calculating with Fractions & Decimals
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Percentages
Percentages
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Algebraic Proportion
Algebraic Proportion
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Truncate a Number
Truncate a Number
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Upper & Lower Bounds
Upper & Lower Bounds
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Stem and Leaf Diagrams
Stem and Leaf Diagrams
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Cumulative Frequency Curves
Cumulative Frequency Curves
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Box Plots
Box Plots
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Calculate Mean For Grouped Data
Calculate Mean For Grouped Data
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Patterns and Sequences
Patterns and Sequences
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Nth Term
Nth Term
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Recurrence Notation
Recurrence Notation
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Set Notation and Venn Diagrams
Set Notation and Venn Diagrams
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Changing the Subject of a Formula
Changing the Subject of a Formula
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Index Notation and Laws
Index Notation and Laws
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Standard Form
Standard Form
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Study Notes
- Study notes for various mathematical topics are outlined
Solving Linear Equations
- Techniques to find the value of variables in equations where the highest power of the variable is 1
Inequalities
- Mathematical expressions showing the relationship between non-equal values
Estimation, Rounding, and Place Value
- Approximating values, simplifying numbers, and understanding number values based on position
Calculating with Fractions and Decimals
- Performing arithmetic operations using fractions and decimals
Percentages
- Expressing numbers as a fraction of 100
Algebraic Proportion
- Expressing the relationship between quantities with constant ratios using algebra
Truncate a Number and Upper & Lower Bounds
- Reducing a number by dropping digits and defining value ranges
Draw and Interpret Stem and Leaf Diagrams
- Organizing data to show distribution
Draw and Interpret Cumulative Frequency Curves
- Displaying the total of frequencies
Draw and Interpret Box Plots
- Displaying data distribution using quartiles
Calculate Mean for Grouped Data
- Finding average from organized data
Patterns and Sequences (nth Term and Recurrence Notation)
- Finding a general term and defining terms based on previous terms
Set Notation and Venn Diagrams
- Illustrating relationships between sets
Changing the Subject of a Formula
- Manipulating equations to isolate a desired variable
Index Notation and Laws
- Simplifying expressions with exponents
Standard Form
- Writing numbers as a x 10^b
Surds
- Simplifying irrational numbers
Probability
- Finding likelihood of events
Ratio Problem Solving
- Using ratios to solve real-world problems
Pythagoras’ Theorem in 2D & 3D
- Finding side lengths using a^2 + b^2 = c^2
Midpoint and Length of a Line Segment
- Finding the center and distance between two points
Trigonometry in 2D & 3D
- Analyzing angles and side lengths of triangles in two and three dimensions
Bearings
- Measuring direction using angles
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