Grade 8 Mathematics Final Exam Practice Test I

A circle graph, also known as a pie chart, is commonly used to represent data in terms of percentages. It is an effective way to visually display the proportion or distribution of different categories or parts of a whole. By dividing the circle into sectors, each representing a percentage, it allows for easy comparison and understanding of the relative sizes or amounts. Therefore, the best reason why a circle graph is used is to represent data in terms of percentages.

A square graph is not a type of graph commonly used to represent data. Circle graphs, bar graphs, line graphs, and pictographs are all commonly used to visually represent data in different ways.

The given expression, (+8)+(-4), represents adding positive 8 and negative 4. When we add a positive number and a negative number, we subtract the smaller absolute value from the larger absolute value and keep the sign of the larger number. In this case, the absolute value of 8 is larger than the absolute value of 4. Therefore, we subtract 4 from 8 and keep the positive sign, resulting in +4.

To find a percentage, you multiply the decimal value by 100. This is because a percentage is a way of expressing a fraction or decimal as a portion out of 100. By multiplying the decimal by 100, you are essentially converting it into a percentage representation.

The term "quotient" refers to the result of dividing one quantity by another in a division operation. In the context of fractions, the quotient represents the answer obtained when dividing one fraction by another. It is the value that is obtained by dividing the numerator of the first fraction by the numerator of the second fraction, and the denominator of the first fraction by the denominator of the second fraction. Therefore, the quotient is the correct answer to a division question in fractions.

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The fraction 800/2200 is not equal to 20% because when we simplify it, we get 4/11 which is not equivalent to 20/100.

The graph made by the manager is misleading for several reasons. Firstly, it is hard to read, which means that it may be difficult to interpret the data accurately. Secondly, the bars on the graph are too close together, making it challenging to distinguish between different data points. Lastly, the numbers on the graph may be misleading, possibly due to incorrect labeling or scaling. Overall, all of these factors contribute to the graph being misleading.

The diagram represents different percentages. The numbers 1013%, 1.13%, 113%, and 213% are all different values expressed as percentages. The correct answer, 113%, is one of the values represented in the diagram.

The net shown in the question forms a cube. A cube is a three-dimensional shape with six congruent square faces. The net consists of six squares connected along their edges, which is a characteristic of a cube. Therefore, the correct answer is cube.

The formula for determining the volume of a cylinder is Pi x r2 x h. This formula represents the product of the area of the base of the cylinder (Pi x r2) and the height of the cylinder (h). By multiplying these two values together, we can calculate the volume of the cylinder. The other options provided (lxwxh, bxh, and 2 x pi x r2) do not correctly represent the formula for finding the volume of a cylinder.

An equilateral triangle is a triangle in which all three sides are equal in length. All three internal angles are also congruent to each other and are each 60°. Equilateral triangles are also equiangular, meaning that all three angles are equal.

A line graph is used to measure time because it allows for the visualization of how a particular variable changes over a specific period. The x-axis represents time, while the y-axis represents the amount or value being measured. The line on the graph connects the data points, showing the progression of the variable over time. This makes it easier to identify trends, patterns, and changes in the variable over different time intervals.

The possible number on the scale between 1 and 2 is 1.4. This is because 1.4 falls between 1 and 2 and is a valid number on the scale.

The original price of the jersey is $250.00. The sale price is 20% off, which means it is discounted by $50.00 (20% of $250.00). So, the sale price of the jersey is $200.00 ($250.00 - $50.00). Additionally, GST of 5% is applied to the sale price, which is $10.00 (5% of $200.00). Therefore, the total cost of the jersey is $210.00 ($200.00 + $10.00).

The correct answer is "Proportion". A proportion is a statement that two ratios are equal. It is used to compare two ratios and determine if they are equivalent or not. In this context, measuring the equality between a rate and a ratio can be done through a proportion. Therefore, the term "Proportion" accurately describes the process of comparing a rate and a ratio to determine their equality.

The given expression consists of four positive numbers being added together and three negative numbers being added together. When adding positive numbers, the result is always positive. When adding negative numbers, the result is negative. Since there are four positive numbers and three negative numbers, the overall result will be positive. Therefore, the correct answer is +1.

A pictograph is used to measure large amounts because it provides a visual representation of data that is easy to interpret. Pictographs use pictures or symbols to represent quantities, making it easier to understand the magnitude of large numbers. This type of graph is especially useful when dealing with data that involves counting or comparing large quantities, as it allows for a quick and intuitive understanding of the information being presented.

The square root of 506 is approximately 22.4. To find the square root, we need to find a number that, when multiplied by itself, equals 506. By using a calculator or estimation, we can determine that 22.4 multiplied by itself is approximately equal to 506. Therefore, the correct answer is 22.4.

The original ratio is 3:6:12. This ratio can be simplified by dividing all parts by 3, giving 1:2:4. Multiplying each part of the simplified ratio by 450 gives 450:900:1800. This is an equivalent ratio to the original ratio because each part has been multiplied by the same factor. The other options are not equivalent ratios because they do not maintain the same proportions as the original ratio.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be represented by the formula a^2 + b^2 = c^2, where a and b are the lengths of the two legs of the triangle, and c is the length of the hypotenuse.

To find the quotient of two fractions, we need to multiply the first fraction by the reciprocal of the second fraction. In this case, we have (3/4) ÷ (6/5). The reciprocal of 6/5 is 5/6. So, we can rewrite the expression as (3/4) * (5/6). Multiplying the numerators gives us 15, and multiplying the denominators gives us 24. Therefore, the quotient of 3/4 divided by 6/5 is 15/24, which is equivalent to 5/8.

The length of side "b" in a right triangle can be determined using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (side c) is equal to the sum of the squares of the other two sides (a and b). In this case, we are given that side a is 7cm and side c is 22cm. By rearranging the formula, we can solve for side b: b^2 = c^2 - a^2. Plugging in the given values, we get b^2 = 22^2 - 7^2. Simplifying, we find that b^2 = 484 - 49, which is equal to 435. Taking the square root of 435, we get approximately 20.8cm. Therefore, the correct answer is 20.8cm.

The given question is asking to determine the sum of four fractions, 5/6, 5/6, 5/6, and 5/6, and round the answer in lowest terms. To find the sum, we add the numerators (5+5+5+5) which equals 20, and keep the denominator the same (6). So, the sum is 20/6. To simplify the fraction to lowest terms, we divide both the numerator and denominator by their greatest common divisor, which is 2. Dividing 20 by 2 gives us 10, and dividing 6 by 2 gives us 3. Therefore, the simplified fraction is 10/3, which is equivalent to 3 and 1/3.

The formula to find the surface area of a triangular prism is BxH/2, where B represents the base area of the triangular prism and H represents the height of the triangular prism. This formula is used specifically for triangular prisms because their shape consists of two triangular bases and three rectangular faces connecting them. By multiplying the base area by the height and dividing it by 2, we can calculate the surface area of a triangular prism.

The formula for determining the volume of a prism is BxH, where B represents the area of the base and H represents the height of the prism. This formula is commonly used to calculate the amount of space occupied by a three-dimensional object with a uniform cross-section.

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To solve this expression, we need to follow the order of operations (PEMDAS/BODMAS). First, we calculate the expression inside the brackets: (4 + (-8)) = -4. Then, we simplify the expression: (-8) x (+2) divided by (+4) + (-5) + (-4). Multiplying -8 and 2 gives -16. Next, we add -5 and -4 to get -9. Finally, we divide -16 by 9 and add 4, resulting in -21. Therefore, the correct answer is (-21).