# Year 8 Math - Year Test Revision (Number And Algebra)

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Quizzes Created: 7 | Total Attempts: 13,083
Questions: 30 | Attempts: 639  Settings  • 1.

C.
• 2.

B.
• 3.

### Use index laws to calculate:

• A.

1

• B.

2

• C.

9

• D.

90

B. 2
Explanation
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.

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• 4.

• A.

11

• B.

1

• C.

-1

• D.

-7

B. 1
• 5.

• A.

13

• B.

-17

• C.

21

• D.

-13

C. 21
• 6.

### Calculate:

• A.

-1

• B.

16

• C.

-8

• D.

8

D. 8
Explanation
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.

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• 7.

D.
• 8.

### The shopkeeper reduces the price of a \$70 pair of jeans by 20%.  How much do they now cost?

• A.

\$68

• B.

\$56

• C.

\$50

• D.

\$84

B. \$56
Explanation
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.

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• 9.

### 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?

• A.

Store A

• B.

Store B

• C.

Both are the same price

B. Store B
Explanation
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.

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• 10.

### Sam was 160cm tall, but has grown by 5% in the last year.  How tall is Sam now?

• A.

160 cm

• B.

165 cm

• C.

168 cm

• D.

152.38 cm (2 decimal places)

C. 168 cm
Explanation
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.

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• 11.

### Jo bought a bike for \$200, fixed it up and then sold it for \$250.  What percentage profit did Jo make?

• A.

10%

• B.

15%

• C.

20%

• D.

25%

D. 25%
Explanation
Jo bought the bike for \$200 and sold it for \$250. To find the percentage profit, we need to calculate the difference between the selling price and the cost price, which is \$250 - \$200 = \$50. Then, we divide this profit by the cost price and multiply by 100 to get the percentage. In this case, \$50/\$200 * 100 = 25%. Therefore, Jo made a 25% profit on the bike.

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• 12.

### 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?

• A.

\$14,990

• B.

\$14,850

• C.

\$14,000

• D.

\$13,500

D. \$13,500
Explanation
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.

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• 13.

### Expand the following: 3(a - 2)

• A.

3a + 6

• B.

3a - 6

• C.

3a + 2

• D.

3a - 2

B. 3a - 6
Explanation
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.

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• 14.

### Expand the following: 2(3b + 4)

• A.

6b + 8

• B.

5b + 6

• C.

6b + 4

• D.

23b + 24

A. 6b + 8
Explanation
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.

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• 15.

### Expand the following: c(4c + 5)

D.
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.

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• 16.

### Factorise the following: 6d - 12

• A.

6(d - 12)

• B.

3(2d - 4)

• C.

6d(1 - 12)

• D.

6(d - 2)

D. 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.

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• 17.

### Factorise the following:

• A.

X(3x + 9)

• B.

3(x + 3x)

• C.

3x(x + 3)

• D.

3(x + 3)

C. 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).

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• 18.

### Factorise the following: 4y + 8z + 16

• A.

4y(8z + 16)

• B.

4(y + 2z + 4)

• C.

Y(4 + 8z + 16)

• D.

2(2y + 4z + 8)

B. 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).

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• 19.

### (2 + 4) + a x 2

• A.

12a

• B.

6a x 2

• C.

12 + a

• D.

6 + 2a

D. 6 + 2a
Explanation
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.

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• 20.
• A.

2a + 3

• B.

6a + 3

• C.

A

• D.

A + 3

A. 2a + 3
• 21.
• A.

18ab - 10a

• B.

3a + 6b - 10a

• C.

18ab - 18a

• D.

-7a + 6b

D. -7a + 6b
• 22.

### What is the missing number? x -2 -1 0 1 2 y -5 -3   1 3

• A.

-2

• B.

-1

• C.

0

• D.

1

B. -1
Explanation
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.

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• 23.

• A.

9

• B.

8

• C.

7

• D.

6

C. 7
• 24.

### What is the equation for this line?

• A.

Y = 2x + 3

• B.

Y = 2x

• C.

Y = 3x + 2

• D.

Y = 3x

A. Y = 2x + 3
Explanation
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.

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• 25.

### What is the equation for this line?

• A.

Y = 2x -2

• B.

Y = x - 2

• C.

Y = x

• D.

Y = x  - 2

D. Y = x  - 2
Explanation
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.

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• 26.

### What is the equation for this line?

• A.

Y = x

• B.

Y = 2x

• C.

Y = 3x

• D.

Y = 4x

C. Y = 3x
Explanation
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.

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• 27.

### What is the equation for this line?

• A.

Y = x + 4

• B.

Y = x - 4

• C.

Y = -x + 4

• D.

Y = -x - 4

C. Y = -x + 4
Explanation
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).

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