Math Gr 8 Term 4 Test
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Questions and Answers

What is the primary purpose of graphs?

  • To display data in a tabular format
  • To make predictions about future events
  • To compare categorical data with numerical data
  • To show relationships between variables and make predictions (correct)

    • Which type of graph is used to display proportions and percentages as segments of a circle?

  • Scatter plot
  • Bar graph
  • Line graph
  • Pie chart (correct)

    • In a bar graph, what does the height of each bar represent?

  • The category being measured
  • The value or frequency of the category (correct)
  • The interval of the data
  • The correlation between variables

    • What should you look for when analyzing a line graph?

    <p>The trend over time</p> Signup and view all the answers

    In a histogram, what does each bar represent?

    <p>The frequency of data within a specific interval</p> Signup and view all the answers

    What can be used to identify the general trend in a scatter plot?

    <p>A trend line</p> Signup and view all the answers

    What should you read first when analyzing a graph?

    <p>The title</p> Signup and view all the answers

    What type of graph is used to show relationships between two variables using points on a coordinate plane?

    <p>Scatter plot</p> Signup and view all the answers

    What should you check to understand the range and intervals of data in a graph?

    <p>Scale</p> Signup and view all the answers

    What type of graph is used to show the proportion of each category?

    <p>Pie Chart</p> Signup and view all the answers

    What is the longest side of a right-angled triangle called?

    <p>Hypotenuse</p> Signup and view all the answers

    What is the purpose of a legend in a graph?

    <p>To differentiate between multiple datasets or colors</p> Signup and view all the answers

    What type of triangle has one angle greater than 90 degrees?

    <p>Obtuse-angled Triangle</p> Signup and view all the answers

    What is the formula for the Pythagorean Theorem?

    <p>c^2 = a^2 + b^2</p> Signup and view all the answers

    What should you do to make predictions using line graphs?

    <p>Use trends to predict future values</p> Signup and view all the answers

    What is the purpose of drawing a title in a graph?

    <p>To give a descriptive name to the graph</p> Signup and view all the answers

    What type of graph is used to show the relationship between two variables?

    <p>Scatter Plot</p> Signup and view all the answers

    Why should you ensure that lines are straight and points are accurately plotted in a graph?

    <p>To ensure accuracy of data</p> Signup and view all the answers

    What is the formula to find the length of the hypotenuse of a right-angled triangle?

    <p>$c = \sqrt{a^2 + b^2}$</p> Signup and view all the answers

    What is the formula to find the area of a rectangle?

    <p>A = l * b</p> Signup and view all the answers

    What is the condition to check if a triangle is right-angled using the Pythagorean theorem?

    <p>a^2 + b^2 = c^2</p> Signup and view all the answers

    What is the formula to find the perimeter of a square?

    <p>P = 4s</p> Signup and view all the answers

    What is the formula to find the area of a circle?

    <p>A = r^2</p> Signup and view all the answers

    What is the relationship between the sides of an obtuse-angled triangle?

    <p>a^2 + b^2 &lt; c^2</p> Signup and view all the answers

    What is the formula to find the circumference of a circle?

    <p>C = 2r</p> Signup and view all the answers

    What is the perimeter of a rectangle with length 5cm and breadth 3cm?

    <p>16cm</p> Signup and view all the answers

    What is the area of a square with side length 4cm?

    <p>16cm^2</p> Signup and view all the answers

    What is the formula to find the length of a side of a right-angled triangle?

    <p>a = (c^2 - b^2)</p> Signup and view all the answers

    What is the formula to calculate the perimeter of a rectangle?

    <p>P = 2(l + b)</p> Signup and view all the answers

    What is the formula to calculate the area of a triangle?

    <p>A = 1/2 × base × height</p> Signup and view all the answers

    What is the formula to calculate the circumference of a circle?

    <p>C = 2πr</p> Signup and view all the answers

    What is the formula to calculate the area of a circle?

    <p>A = πr^2</p> Signup and view all the answers

    How do you convert between square units?

    <p>By squaring the conversion factor</p> Signup and view all the answers

    What is the formula to calculate the perimeter of a square?

    <p>P = 4s</p> Signup and view all the answers

    How do you find the area of a composite shape?

    <p>By breaking it down into simpler shapes and summing their areas</p> Signup and view all the answers

    What is the relationship between the diameter and radius of a circle?

    <p>d = 2r</p> Signup and view all the answers

    What is the relationship between the sides of an acute-angled triangle?

    <p>a^2 + b^2 &gt; c^2</p> Signup and view all the answers

    What is the formula to find the length of the hypotenuse of a right-angled triangle?

    <p>c = √(a^2 + b^2)</p> Signup and view all the answers

    What is the condition to check if a triangle is right-angled using the Pythagorean theorem?

    <p>a^2 + b^2 = c^2</p> Signup and view all the answers

    What is the formula to find the perimeter of a rectangle with length l and breadth b?

    <p>P = 2(l + b)</p> Signup and view all the answers

    What is the formula to find the area of a square with side length s?

    <p>A = s × s</p> Signup and view all the answers

    What is the formula to find the circumference of a circle with radius r?

    <p>C = 2πr</p> Signup and view all the answers

    What is the formula to find the area of a circle with radius r?

    <p>A = πr^2</p> Signup and view all the answers

    How do you convert from square centimeters to square meters?

    <p>Divide by 10,000</p> Signup and view all the answers

    What is the formula to find the area of a triangle with base b and height h?

    <p>A = (1/2) × b × h</p> Signup and view all the answers

    What is the purpose of the Pythagorean theorem?

    <p>To find the length of a side of a right-angled triangle</p> Signup and view all the answers

    What do bar graphs and histograms have in common?

    <p>They are used to display categorical data with rectangular bars.</p> Signup and view all the answers

    In a scatter plot, what does a trend line show?

    <p>The general trend or pattern of the data.</p> Signup and view all the answers

    What is the main difference between a bar graph and a histogram?

    <p>The type of data they display.</p> Signup and view all the answers

    What should you analyze to understand the distribution of data in a histogram?

    <p>The shape of the distribution.</p> Signup and view all the answers

    What do you need to compare to analyze data in a bar graph?

    <p>The height of each bar.</p> Signup and view all the answers

    What do you look for to determine if there is a correlation between variables in a scatter plot?

    <p>The direction of the trend.</p> Signup and view all the answers

    What is the purpose of axis labels in a graph?

    <p>To show the variables being measured.</p> Signup and view all the answers

    What is the main difference between a pie chart and a bar graph?

    <p>The type of data they display.</p> Signup and view all the answers

    What is the main purpose of understanding trends in line graphs?

    <p>To predict future values</p> Signup and view all the answers

    What is the name of the theorem that helps in finding the length of the hypotenuse of a right-angled triangle?

    <p>Theorem of Pythagoras</p> Signup and view all the answers

    What is the purpose of a legend in a graph?

    <p>To differentiate between multiple datasets or colors</p> Signup and view all the answers

    What is the type of graph used to display categorical data?

    <p>Bar graph</p> Signup and view all the answers

    What should you check to ensure the accuracy of a graph?

    <p>The data values and calculations</p> Signup and view all the answers

    What is the type of graph used to show relationships between two variables?

    <p>Scatter plot</p> Signup and view all the answers

    What is the longest side of a right-angled triangle?

    <p>Hypotenuse</p> Signup and view all the answers

    What should you do to draw a histogram?

    <p>Gather continuous data divided into intervals</p> Signup and view all the answers

    What is the purpose of the Pythagorean Theorem?

    <p>To find the length of the hypotenuse of a right-angled triangle</p> Signup and view all the answers

    What is the formula for the perimeter of a rectangle?

    <p>P = 2(l + b)</p> Signup and view all the answers

    What should you do to make predictions using scatter plots?

    <p>Draw a line of best fit</p> Signup and view all the answers

    What is the formula for the area of a square?

    <p>A = s^2</p> Signup and view all the answers

    What is the formula for the circumference of a circle?

    <p>C = 2πr</p> Signup and view all the answers

    How do you find the area of a composite shape?

    <p>Break it down into simpler shapes and calculate their areas separately</p> Signup and view all the answers

    What is the formula for the area of a triangle?

    <p>A = 1/2 × base × height</p> Signup and view all the answers

    What is the relationship between the diameter and radius of a circle?

    <p>Diameter is twice the radius</p> Signup and view all the answers

    How do you convert between square units?

    <p>By squaring the conversion factor</p> Signup and view all the answers

    What is the formula for the perimeter of a square?

    <p>P = 4s</p> Signup and view all the answers

    What is the primary difference between a bar graph and a histogram in terms of the data they represent?

    <p>Continuous data</p> Signup and view all the answers

    What is the primary purpose of analyzing the trend line in a scatter plot?

    <p>To identify the correlation between variables</p> Signup and view all the answers

    What is the primary difference between a line graph and a scatter plot?

    <p>The way they display trends</p> Signup and view all the answers

    What is the primary purpose of comparing the sizes of different segments in a pie chart?

    <p>To determine the proportion of each category</p> Signup and view all the answers

    What is the primary purpose of analyzing the axis labels in a graph?

    <p>To understand what each axis represents</p> Signup and view all the answers

    What is the primary purpose of analyzing the intervals in a histogram?

    <p>To understand the range of each interval</p> Signup and view all the answers

    What is the primary purpose of analyzing the data points in a line graph?

    <p>To understand the value at a specific time</p> Signup and view all the answers

    What is the primary purpose of analyzing the title of a graph?

    <p>To understand what the graph is about</p> Signup and view all the answers

    What is the condition for a triangle to be obtuse-angled?

    <p>a^2 + b^2 &lt; c^2</p> Signup and view all the answers

    Which of the following formulas is used to find the length of a side of a right-angled triangle?

    <p>a = √(c^2 - b^2)</p> Signup and view all the answers

    What is the formula to find the perimeter of a rectangle with length l and breadth b?

    <p>P = 2l + 2b</p> Signup and view all the answers

    What is the formula to find the area of a triangle with base b and height h?

    <p>A = bh</p> Signup and view all the answers

    What is the relationship between the diameter and radius of a circle?

    <p>d = 2r</p> Signup and view all the answers

    What is the formula to find the area of a circle with radius r?

    <p>A = πr^2</p> Signup and view all the answers

    What is the formula to find the circumference of a circle with radius r?

    <p>C = 2πr</p> Signup and view all the answers

    How do you convert from square centimeters to square meters?

    <p>1 cm^2 = 0.0001 m^2</p> Signup and view all the answers

    What is the purpose of the Pythagorean theorem?

    <p>To find the length of a side of a right-angled triangle</p> Signup and view all the answers

    What is the condition for a triangle to be right-angled?

    <p>a^2 + b^2 = c^2</p> Signup and view all the answers

    What is the formula to find the perimeter of a rectangle with length l and breadth b?

    <p>P = 2l + 2b</p> Signup and view all the answers

    What is the formula to find the area of a triangle with base b and height h?

    <p>A = 1/2bh</p> Signup and view all the answers

    What is the formula to find the circumference of a circle with radius r?

    <p>C = 2πr</p> Signup and view all the answers

    What is the formula to find the area of a circle with radius r?

    <p>A = πr^2</p> Signup and view all the answers

    How do you convert from square centimeters to square meters?

    <p>Divide by 10,000</p> Signup and view all the answers

    What is the relationship between the diameter and radius of a circle?

    <p>Diameter is twice the radius</p> Signup and view all the answers

    How do you find the area of a composite shape?

    <p>Break it down into simpler shapes, calculate their areas separately, and then sum them up</p> Signup and view all the answers

    What is the formula to find the perimeter of a square with side length s?

    <p>P = 4s</p> Signup and view all the answers

    What is the primary purpose of identifying outliers in a graph?

    <p>To ensure the accuracy of the graph</p> Signup and view all the answers

    In a right-angled triangle, what is the relationship between the square of the length of the hypotenuse and the sum of the squares of the lengths of the other two sides?

    <p>The square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides</p> Signup and view all the answers

    What is the primary difference between a line graph and a scatter plot?

    <p>The way the data is displayed on the graph</p> Signup and view all the answers

    What is the purpose of using different colors or patterns in a pie chart?

    <p>To differentiate between different categories</p> Signup and view all the answers

    What is the primary purpose of using a legend in a graph?

    <p>To identify the different datasets or colors used in the graph</p> Signup and view all the answers

    What is the primary purpose of drawing a title in a graph?

    <p>To provide a clear and concise description of the graph</p> Signup and view all the answers

    What is the primary purpose of analyzing the distribution of data in a histogram?

    <p>To understand the range and intervals of the data</p> Signup and view all the answers

    What is the primary purpose of using a scale in a graph?

    <p>To accommodate all data points and ensure accurate representation</p> Signup and view all the answers

    What is the primary purpose of identifying the trend in a line graph?

    <p>To make predictions about future values</p> Signup and view all the answers

    What is the primary purpose of using a key or legend in a graph?

    <p>To identify the different datasets or colors used in the graph</p> Signup and view all the answers

    What is the formula to find the perimeter of a rectangle with length l and breadth b?

    <p>P = 2(l + b)</p> Signup and view all the answers

    What is the formula to find the area of a triangle with base b and height h?

    <p>A = 1/2 × b × h</p> Signup and view all the answers

    What is the formula to find the circumference of a circle with radius r?

    <p>C = 2πr</p> Signup and view all the answers

    What is the formula to find the area of a circle with radius r?

    <p>A = πr²</p> Signup and view all the answers

    How do you convert from square centimeters to square meters?

    <p>Divide by 10000</p> Signup and view all the answers

    What is the relationship between the diameter and radius of a circle?

    <p>diameter = 2 × radius</p> Signup and view all the answers

    How do you find the area of a composite shape?

    <p>Add the areas of the individual shapes</p> Signup and view all the answers

    What is the formula to find the perimeter of a square with side length s?

    <p>P = 4s</p> Signup and view all the answers

    What is the purpose of breaking down a composite shape into simpler shapes?

    <p>To find the area</p> Signup and view all the answers

    What is the condition to check if a triangle is right-angled using the Pythagorean theorem?

    <p>a² + b² = c²</p> Signup and view all the answers

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