MCW 2nd Exam Revision Part 2

2nd Term Exam Revision

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Ch.8 Linear Equation in Two unknowns

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Multiple Select

Which of the followings is/are the solution of the equation 2x-3y=1.

• (-4, -3)

• $$\left(-1,\ -\frac{1}{2}\right)$$  

• (2, 1)

• $$\left(4,\ \frac{7}{3}\right)$$  

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$y=-x$  

$3x-2y=-10$  

(use comma "," to separate answer of x and y)

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$y=2x+4$  

$x-y=-6$  

(use comma "," to separate answer of x and y)

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$x-y=-1$  

$3x-4y=1$  

(use comma "," to separate answer of x and y)

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$x=-2y+4$  

$x-4y=-2$  

(use comma "," to separate answer of x and y)

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If the sum of two numbers is 102 and their difference is 32, find the two numbers.

Ch.9 Pythagoras' Theorem and Irrational Numbers

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Multiple Choice

Determine whether each of the following numbers is a rational number.

$$\sqrt{11}$$  

• Yes

• No

Multiple Choice

Determine whether each of the following numbers is a rational number.

$$5\frac{7}{11}$$  

• Yes

• No

Multiple Choice

Determine whether each of the following numbers is a rational number.

$$\sqrt{81}$$  

• Yes

• No

Multiple Choice

Determine whether each of the following numbers is a rational number.

$$\pi^2$$  

• Yes

• No

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Find $\sqrt[3]{-1}$  

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Find $\sqrt[4]{16}$  

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Find $\sqrt{2\times4\times8}$  

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Find $\sqrt[5]{-243}$  

Multiple Choice

Which of the following is NOT true?

• $$\sqrt{9^2}=9$$  

• $$\sqrt{\left(-9\right)^2}=9$$  

• $$-\sqrt{9^2}=-9$$  

• $$\sqrt{-9^2}=-9$$  

Multiple Choice

$$\sqrt[4]{81}=$$  

• 9 

• -9 or 9 

• 3 

• -3 or 3 

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Find the unknown.

(Correct to 3 significant figures if necessary)

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Find the unknown.

(Correct to 3 significant figures if necessary)

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Find the unknown.

(Correct to 3 significant figures if necessary)

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Find the unknown.

(Correct to 3 significant figures if necessary)

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Find the unknown.

(Correct to 3 significant figures if necessary)

Ch.10 Angles Related to Special Triangles and Polygons

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Find the unknown.

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Find the unknown.

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Find the unknown.

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Find the unknown.

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Find the unknown.

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Find the unknown.

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Find the unknown.

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Find the unknown.

(use comma to separate answer of x and y)

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Find the unknown.

(use comma to separate answer of x and y)

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Find the unknown.

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Find the unknown.

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Find the unknown.

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In the figure, DE = EF. Find a and b.

Ch.11 Introduction to Trigonometry

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Find $\theta$  . (Correct to 3 sig. fig.)

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Find $\theta$  . (Correct to 3 sig. fig.)

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Find $\theta$  . (Correct to 3 sig. fig.)

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Find $\theta$  . (Correct to 3 sig. fig.)

$\sin\ \theta=0.89$  

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Find $\theta$  . (Correct to 3 sig. fig.)

$\tan\ \theta=3$  

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Find $\theta$  . (Correct to 3 sig. fig.)

$\tan\ \theta=\frac{7}{4}$  

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Find $\theta$  . (Correct to 3 sig. fig.)

$\cos\ \theta=\frac{11}{13}$  

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The figure shows a quadrilateral ADCB. Find BC.

(Hint: Find BD first)

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In the figure, H is a point lying on QR such that PH ^ QR. Find θ.

Ch.12 Area and Volumes (II)

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Find the perimeter of the shaded region.

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Find the area of the shaded region.

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Find the volume of the right circular cylinder.

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Find the curved surface area of the right circular cylinder.

Any questions?

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