Math Gr 8 Term 4 Test
118 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

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 (A)</p> Signup and view all the answers

In a histogram, what does each bar represent?

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

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

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

What should you read first when analyzing a graph?

<p>The title (D)</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 (A)</p> Signup and view all the answers

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

<p>Scale (D)</p> Signup and view all the answers

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

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

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

<p>Hypotenuse (A)</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 (C)</p> Signup and view all the answers

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

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

What is the formula for the Pythagorean Theorem?

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

What should you do to make predictions using line graphs?

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

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

<p>Scatter Plot (D)</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 (B)</p> Signup and view all the answers

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

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

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

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

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

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

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

<p>A = r^2 (B)</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 (D)</p> Signup and view all the answers

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

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

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

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

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

<p>16cm^2 (B)</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) (A)</p> Signup and view all the answers

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

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

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

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

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

<p>C = 2Ï€r (A)</p> Signup and view all the answers

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

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

How do you convert between square units?

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

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

<p>P = 4s (B)</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 (C)</p> Signup and view all the answers

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

<p>d = 2r (A)</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 (B)</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) (A)</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 (A)</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) (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 (B)</p> Signup and view all the answers

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

<p>C = 2Ï€r (D)</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 (A)</p> Signup and view all the answers

How do you convert from square centimeters to square meters?

<p>Divide by 10,000 (D)</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 (B)</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 (C)</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. (B)</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. (A)</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. (A)</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. (D)</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. (B)</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. (B)</p> Signup and view all the answers

What is the purpose of axis labels in a graph?

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

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

<p>To predict future values (C)</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 (B)</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 (D)</p> Signup and view all the answers

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

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

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

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

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

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

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

<p>Hypotenuse (B)</p> Signup and view all the answers

What should you do to draw a histogram?

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

What is the formula for the perimeter of a rectangle?

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

What should you do to make predictions using scatter plots?

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

What is the formula for the area of a square?

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

What is the formula for the circumference of a circle?

<p>C = 2Ï€r (B)</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 (A)</p> Signup and view all the answers

What is the formula for the area of a triangle?

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

How do you convert between square units?

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

What is the formula for the perimeter of a square?

<p>P = 4s (D)</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 (A)</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 (D)</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 (B)</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 (A)</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 (C)</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 (C)</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 (C)</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 (D)</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 (D)</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) (A), b = √(c^2 - a^2) (B)</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 (C)</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 (C)</p> Signup and view all the answers

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

<p>d = 2r (A)</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 (D)</p> Signup and view all the answers

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

<p>C = 2Ï€r (D)</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 (C)</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 (D)</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 (B)</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 (D)</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 (C)</p> Signup and view all the answers

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

<p>C = 2Ï€r (A)</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 (B)</p> Signup and view all the answers

How do you convert from square centimeters to square meters?

<p>Divide by 10,000 (C)</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 (A)</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 (B)</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 (A)</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 (A)</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 (A)</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 (C)</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 (C)</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 (D)</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 (C)</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 (A)</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 (C)</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 (D)</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 (A)</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) (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 (C)</p> Signup and view all the answers

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

<p>C = 2Ï€r (B)</p> Signup and view all the answers

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

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

How do you convert from square centimeters to square meters?

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

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

<p>diameter = 2 × radius (B)</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 (D)</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 (D)</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 (D)</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 (D)</p> Signup and view all the answers

Flashcards are hidden until you start studying

More Like This

Use Quizgecko on...
Browser
Open
Browser
Browser