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Summary of key maths subjects with examples

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Provides a brief overview with examples of key areas including Number: Place value: Understanding the value of digits in a number based on their position. Rounding: Approximating numbers to the nearest whole number or specified place value. Factors and multiples: Identifying numbers that divide exactly into another number or numbers that can be divided by a given number without leaving a remainder. Algebra: Expressions: Combinations of numbers, variables, and mathematical operations. Equations: Statements that show equality between two expressions and involve solving for the value(s) of variables. Geometry: Angles: Measuring and classifying angles based on their degree measures. Triangles: Identifying and classifying triangles based on their side lengths and angles. Statistics: Data representation: Using graphs and charts to visually represent and analyze data. Mean: Calculating the average of a set of numbers. Probability: Probability: Determining the likelihood of an event occurring, represented as a number between 0 and 1.

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June 15, 2023
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1. Number:
 Place value: In the number 245, the digit 5 is in the units
place, 4 is in the tens place, and 2 is in the hundreds place.
 Rounding: Round the number 347 to the nearest ten. The
tens digit is 4, so we look at the digit to the right of it, which
is 7. Since 7 is greater than or equal to 5, we round up.
Therefore, 347 rounded to the nearest ten is 350.
 Factors and multiples: Find the factors of 12. The factors of
12 are 1, 2, 3, 4, 6, and 12 because these numbers divide
exactly into 12.
2. Algebra:
 Expressions: Evaluate the expression 3x + 5 when x = 2.
Substitute x with 2: 3(2) + 5 = 6 + 5 = 11.
 Equations: Solve the equation 2x - 3 = 7. Add 3 to both
sides: 2x - 3 + 3 = 7 + 3, which simplifies to 2x = 10. Divide
both sides by 2: 2x/2 = 10/2, giving x = 5.
3. Geometry:
 Angles: Measure the angle using a protractor. For example,
measure an angle with vertex at point A and sides AB and
AC.
 Triangles: Classify the following triangle: A triangle has sides
of lengths 4 cm, 4 cm, and 4 cm. It is an equilateral triangle
because all sides are equal.
4. Statistics:
 Data representation: Create a bar graph to represent the
number of books read by students in a class. Label the x-
axis as "Students" and the y-axis as "Number of Books."
Draw bars representing the number of books each student
read.
 Mean: Find the mean of the numbers 4, 5, 6, 7, and 8. Add
the numbers together: 4 + 5 + 6 + 7 + 8 = 30. Divide the
sum by the count: 30 ÷ 5 = 6. The mean is 6.
5. Probability:
 Probability: If a standard coin is flipped, what is the
probability of getting heads? Since there are two possible
outcomes (heads or tails) and only one favorable outcome
(heads), the probability is 1/2 or 0.5.

Remember to practice solving more problems and apply these
concepts to different scenarios to reinforce your understanding of
Year 7 Maths.
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