Year 8 Math - Year Test Revision (Number And Algebra)
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Jo bought a bike for $200, fixed it up and then sold it for $250. What percentage profit did Jo make?
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10%
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15%
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20%
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25%
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This Year 8 Math revision quiz focuses on Number and Algebra, specifically using index laws to simplify and calculate expressions. It assesses key mathematical skills and prepares students for higher-level algebraic concepts.
Quiz Preview
- 2.
Use index laws to simplify:
Correct Answer
A. -
- 3.
The shopkeeper reduces the price of a $70 pair of jeans by 20%. How much do they now cost?
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$68
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$56
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$50
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$84
Correct Answer
A. $56Explanation
The shopkeeper reduces the price of the jeans by 20%, which means that the price is now 80% of the original price. To find the new price, we can multiply the original price ($70) by 80% (0.8). This gives us a new price of $56.Rate this question:
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- 4.
Sam was 160cm tall, but has grown by 5% in the last year. How tall is Sam now?
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160 cm
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165 cm
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168 cm
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152.38 cm (2 decimal places)
Correct Answer
A. 168 cmExplanation
Sam's height has increased by 5% in the last year. To find out his new height, we can calculate 5% of 160cm, which is 8cm. Adding this to his original height, we get 168cm. Therefore, Sam is now 168cm tall.Rate this question:
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- 5.
What is the missing number? x -3 -2 -1 0 1 y 10 4 1 -2
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9
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8
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7
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6
Correct Answer
A. 7 -
- 6.
Expand the following: 2(3b + 4)
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6b + 8
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5b + 6
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6b + 4
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23b + 24
Correct Answer
A. 6b + 8Explanation
The given expression is 2(3b + 4). To expand it, we distribute the 2 to both terms inside the parentheses. This results in 6b + 8. Therefore, the correct answer is 6b + 8.Rate this question:
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- 7.
Use index laws to simplify:
Correct Answer
A. -
- 8.
Calculate:
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11
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1
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-1
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-7
Correct Answer
A. 1 -
- 9.
Expand the following: c(4c + 5)
Correct Answer
A.Explanation
The given expression can be expanded by multiplying the constant term outside the parentheses with each term inside the parentheses. Therefore, c(4c + 5) can be expanded as 4c^2 + 5c.Rate this question:
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- 10.
What is the missing number? x -2 -1 0 1 2 y -5 -3 1 3
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-2
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-1
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0
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1
Correct Answer
A. -1Explanation
Looking at the pattern in the given numbers, it can be observed that the number on the left column is increasing by 1 each time, while the number on the right column is decreasing by 2 each time. Therefore, following the same pattern, the missing number should be -1.Rate this question:
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- 11.
(2 + 4) + a x 2
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12a
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6a x 2
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12 + a
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6 + 2a
Correct Answer
A. 6 + 2aExplanation
The given expression is (2 + 4) + a x 2. According to the order of operations (PEMDAS/BODMAS), we first perform the multiplication operation, which is a x 2. This gives us 2a. Then, we add the numbers inside the parentheses, which is 2 + 4, resulting in 6. Finally, we combine the two results to get 6 + 2a.Rate this question:
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- 12.
How would you represent following solution in an appropriate decimal format:
Correct Answer
A. -
- 13.
The same DVD is on sale in two different stores. Store A: DVD normally costs $34.95 but has a 1/3 off sale. Store B: DVD normally costs $29.95 and has a 25% off sale. Which store is cheaper?
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Store A
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Store B
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Both are the same price
Correct Answer
A. Store BExplanation
Store B is cheaper because the original price of the DVD is lower compared to Store A. Additionally, the discount percentage in Store B (25%) is higher than the discount percentage in Store A (1/3 off). Therefore, Store B offers a better deal and a lower price for the DVD.Rate this question:
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- 14.
Andrew bought a car for $15,000 and sold it a year later making a 10% loss. How much did Andrew sell the car for?
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$14,990
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$14,850
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$14,000
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$13,500
Correct Answer
A. $13,500Explanation
Andrew bought a car for $15,000 and made a 10% loss when he sold it a year later. To find out how much he sold the car for, we need to calculate 10% of the purchase price, which is $15,000 x 0.10 = $1,500. Then, we subtract this amount from the purchase price to find the selling price: $15,000 - $1,500 = $13,500. Therefore, Andrew sold the car for $13,500.Rate this question:
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- 15.
Expand the following: 3(a - 2)
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3a + 6
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3a - 6
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3a + 2
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3a - 2
Correct Answer
A. 3a - 6Explanation
The given expression is 3(a - 2). To expand this expression, we distribute the 3 to both terms inside the parentheses. This gives us 3 * a - 3 * 2, which simplifies to 3a - 6.Rate this question:
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- 16.
What is the equation for this line?
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Y = 2x -2
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Y = x - 2
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Y = x
![Year 8 Math - Year Test Revision (Number And Algebra) - Quiz]()
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Y = x - 2
![Year 8 Math - Year Test Revision (Number And Algebra) - Quiz]()
Correct Answer
A. Y = x - 2Explanation
The equation of the line is y = x - 2. This can be determined by comparing the given equations with the equation of a line, y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 1 (since the coefficient of x is 1) and the y-intercept is -2. Therefore, the equation y = x - 2 represents the line.Rate this question:
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- 17.
What is the equation for this line?
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Y = x
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Y = 2x
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Y = 3x
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Y = 4x
Correct Answer
A. Y = 3xExplanation
The equation for the given line is y = 3x. This means that the value of y is always three times the value of x. For example, if x = 2, then y = 6. This equation represents a straight line with a slope of 3, meaning that for every increase of 1 in x, y increases by 3.Rate this question:
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- 18.
Calculate:
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-1
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16
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-8
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8
Correct Answer
A. 8Explanation
The given calculation involves a series of numbers. Starting from -1, the next number is obtained by multiplying the previous number by -2. Therefore, -1 x -2 = 2, and 2 x -2 = -4. Continuing this pattern, -4 x -2 = 8. Hence, the answer is 8.Rate this question:
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- 19.
Factorise the following: 4y + 8z + 16
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4y(8z + 16)
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4(y + 2z + 4)
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Y(4 + 8z + 16)
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2(2y + 4z + 8)
Correct Answer
A. 4(y + 2z + 4)Explanation
The given expression is 4y + 8z + 16. To factorize it, we can take out the common factor of 4 from each term, resulting in 4(y + 2z + 4).Rate this question:
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- 20.
What is the equation for this line?
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Y = 2x + 3
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Y = 2x
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Y = 3x + 2
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Y = 3x
Correct Answer
A. Y = 2x + 3Explanation
The equation for the given line is y = 2x + 3. This equation represents a straight line with a slope of 2 and a y-intercept of 3. The slope of 2 means that for every 1 unit increase in x, the y-value increases by 2 units. The y-intercept of 3 indicates that the line intersects the y-axis at the point (0, 3). Therefore, the equation y = 2x + 3 accurately represents the line.Rate this question:
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- 21.
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2a + 3
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6a + 3
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A
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A + 3
Correct Answer
A. 2a + 3 -
- 22.
Calculate:
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13
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-17
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21
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-13
Correct Answer
A. 21 -
- 23.
Factorise the following:
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X(3x + 9)
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3(x + 3x)
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3x(x + 3)
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3(x + 3)
Correct Answer
A. 3x(x + 3)Explanation
The given expression can be factorized by taking out the common factor, which is 3x. This results in 3x(x + 3).Rate this question:
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- 24.
Factorise the following: 6d - 12
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6(d - 12)
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3(2d - 4)
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6d(1 - 12)
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6(d - 2)
Correct Answer
A. 6(d - 2)Explanation
The given expression, 6d - 12, can be factorized by taking out the common factor of 6 from both terms. This gives us 6(d - 2), which is the correct answer.Rate this question:
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- 25.
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18ab - 10a
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3a + 6b - 10a
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18ab - 18a
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-7a + 6b
Correct Answer
A. -7a + 6b -
- 26.
What is the equation for this line?
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Y = x + 4
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Y = x - 4
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Y = -x + 4
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Y = -x - 4
Correct Answer
A. Y = -x + 4Explanation
The equation of the line is y = -x + 4 because it has a slope of -1 and a y-intercept of 4. The negative slope indicates that the line is decreasing as x increases, and the positive y-intercept indicates that the line intersects the y-axis at the point (0, 4).Rate this question:
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- 27.
Use index laws to calculate:
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1
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2
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9
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90
Correct Answer
A. 2Explanation
The given answer, 2, can be obtained by applying the index laws. Specifically, we can simplify the expression by multiplying the numbers together. 1 multiplied by 2 is 2, and 9 multiplied by 10 is 90. Then, multiplying 2 and 90 gives us the final result of 180.Rate this question:
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Current Version
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Mar 21, 2023Quiz Edited by
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Nov 09, 2013Quiz Created by
Brad75
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