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Welcome to the Grade 8 Mathematics Final Exam Practice Test I. It's a medium level quiz for all the 8th graders out there who have their finals coming up and thus require practice sessions. With over 30 basic to medium level questions of maths, you can have a quality practice over the subject.
Questions and Answers
1.
MATH EXAM SECTION 1: MULTIPLE CHOICE
Chapter 1 Representing Data
Which of the following is not a type of graph?
A.
Circle graph
B.
Bar graph
C.
Line graph
D.
Square graph
E.
Pictograph
Correct Answer D. Square graph
Explanation 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.
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2.
A music store was selling a special on a one hit single album, the manager made a graph on how much were sold during the 4 year period. How is the graph he made misleading?
A.
Hard to read
B.
Bars are to close
C.
Misleading numbers
D.
All of the above
Correct Answer D. All of the above
Explanation 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.
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3.
What is the BEST reason why a line graph is used to measure
A.
Amount
B.
Time
C.
Large amounts
D.
Percentage
Correct Answer B. Time
Explanation 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.
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4.
What is the BEST reason why a circle graph is used for?
A.
Percent
B.
Amount
C.
Time
D.
Large amounts
Correct Answer A. Percent
Explanation 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.
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5.
What is the BEST reason why a pictograph is used to measure?
A.
Amounts
B.
Time
C.
Percents
D.
Large amounts
Correct Answer D. Large amounts
Explanation 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.
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6.
SECTION II: SHORT ANSWER
A ____________ graph is used to measure certain data of distant amounts.
Correct Answer Line
7.
Chapter 2 Rates, Ratios, and Proportions
At a supermarket, there is a sale of a 4L jug of juice for $3.99, a 2.5L bottle of Pop for $2.49, and a 900mL bottle of soda for $1.99. Which of the following is the best buy? (hint; convert L to mL)
A.
Bottle of Pop
B.
Bottle of Soda
C.
Jug of Juice
Correct Answer A. Bottle of Pop
Explanation For the 4L jug of juice: Price per mL = Total price / Total volume = $3.99 / (4L * 1000 mL/L) (converting liters to milliliters) = $3.99 / 4000 mL = $0.0009975/mL
For the 2.5L bottle of pop: Price per mL = Total price / Total volume = $2.49 / (2.5L * 1000 mL/L) = $2.49 / 2500 mL = $0.000996/mL
For the 900mL bottle of soda: Price per mL = Total price / Total volume = $1.99 / 900 mL = $0.002211/mL
Comparing the prices per milliliter, we find that the 2.5L bottle of pop has the lowest price per milliliter, making it the best buy.
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8.
Three different kinds of pizzas have slices represented as the ratio:
3:6:12
Which of the following is an equal proportion?
A.
6:36:144
B.
12:24:72
C.
450:900:1800
D.
15:27:75
Correct Answer C. 450:900:1800
Explanation The given ratio for the different kinds of pizzas is 3:6:12. To find an equal proportion, we need to find a ratio where the numbers are all multiples of the original ratio. Among the options, only 450:900:1800 meets this requirement. Each number in this ratio is 150 times larger than the corresponding number in the original ratio, making it an equal proportion.
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9.
To measure the equality between a rate and a ratio is called a (n) __________________
Correct Answer Proportion Equivalent comparison
Explanation 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.
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10.
Chapter 3 Pythagorean Relationship
What is the following square root of x if x= 506
A.
50.6
B.
22.2
C.
24.2
D.
22.4
Correct Answer D. 22.4
Explanation 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.
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11.
Determine the possible number (2) on the scale between 1 and 2
A.
2
B.
1.4
C.
4
D.
None of the above
Correct Answer B. 1.4
Explanation 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.
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12.
Determine side "b" is a= 7cm, and c= 22cm of the right triangle:
A.
435cm
B.
43.5cm
C.
20.8cm
D.
22.5cm
Correct Answer C. 20.8cm
Explanation 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.
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13.
The Pythagorean theorem is _________________________ which is the formula used to measure the hypotenuse.
Correct Answer a2+b2=c2 a squared plus b squared equals c squared
Explanation 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.
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14.
Chapter 4 Percents
What does the following diagram represent?
A.
1013%
B.
1.13%
C.
113%
D.
213%
Correct Answer C. 113%
Explanation 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.
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15.
Which fraction is NOT equal to 20%?
A.
2000/10000
B.
800/2200
C.
40,000/200,000
D.
20/100
Correct Answer B. 800/2200
Explanation 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.
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16.
A sale is going on at a sports store. A jersey is on sale for 20% off its original price of $250.00, plus GST of 5% what is the total cost of the jersey?
A.
$210.00
B.
$185.00
C.
$200.00
D.
$168.00
Correct Answer A. $210.00
Explanation 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).
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17.
To find a ____________ , you times the decimal by 100
Correct Answer percent
Explanation 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.
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18.
Chapter 5 Surface AreaWhat object does this net form?
A.
Rectangular prism
B.
Triangular prism
C.
Cylinder
D.
Cube
Correct Answer D. Cube
Explanation 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.
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19.
The formula to find the surface area of a ___________ prism is BxH/2
Correct Answer triangular prism
Explanation 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.
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20.
Chapter 6 Fraction operationsdetermine 5/6+5/6+5/6+5/6 round your answer in lowest terms
A.
5/6
B.
20/24
C.
0.83
D.
10/12
Correct Answer A. 5/6
Explanation 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.
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21.
Determine the quotient of 3/4 divided by 6/5 in loswet terms
A.
5/8
B.
15/24
C.
5/6
D.
12/24
Correct Answer A. 5/8
Explanation 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) รท (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.
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22.
Determine 5/6 x 6
A.
10/72
B.
6/30
C.
5/35
D.
5
Correct Answer D. 5
23.
The ___________ is the answer to a division question in fractions
Correct Answer quotient
Explanation 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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24.
Chapter 7 VolumeWhat is the formula for determining volume of a prism?
A.
Lxwxh
B.
Volume is used on T.V!
C.
BxH/2
D.
BxH
Correct Answer D. BxH
Explanation 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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25.
What is the formula for determining the volume of a cylinder?
A.
Lxwxh
B.
Bxh
C.
Pi x r2 x h
D.
2 x pi x r2
Correct Answer C. Pi x r2 x h
Explanation 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.
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26.
Chapter 8: Integers
What is the following answer?
(+)(+)(+)(+) + (-)(-)(-)
A.
-1
B.
+1
C.
0
D.
-7
Correct Answer B. +1
Explanation 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.
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27.
What is (+8)+(-4)?
A.
+4
B.
-4
C.
-12
D.
+12
Correct Answer A. +4
Explanation 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.
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28.
Which of the following integer operations is equal to (-23.8)
A.
[1/4x 1/5] + (+4)+(-1) x 2
B.
1/4+1/5x [(-4)+(1)] x 2
C.
[4+(-1)] x 2 divided by 1/5 x 1/4
D.
2x[(-4)+(+1)] divided by 1/4+1/5
Correct Answer D. 2x[(-4)+(+1)] divided by 1/4+1/5
29.
The following formula used to solve integer operations is called ______________
(hint; steps to solve order of operations)
Explanation The given formula used to solve integer operations is called BEDMAS. BEDMAS is an acronym that stands for brackets, exponents, division, multiplication, addition, and subtraction. This represents the order in which these operations should be performed when solving a mathematical expression.
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30.
Find the following answer(-8)x(+2) divided by (+4)+(-5)+[(4+-8)]
A.
(-23)
B.
(-13)
C.
(-21)
D.
(-32)
Correct Answer C. (-21)
Explanation 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).
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