# 2017 December(A10) Math Question 1

**Choice B**

$$p=\frac{5}{19}+\frac{4}{19}=\frac{9}{19}$$

# 2017 December(A10) Math Question 2

**Choice G**

$$p=\frac{2}{8+12+6+2}=\frac{2}{28}=\frac{1}{14}$$

# 2017 December(A10) Math Question 3

**Choice A**

$$k=\frac{7}{5}j+54=40\Rightarrow j=-10$$

# 2017 December(A10) Math Question 4

**Choice H**

$$|3-x|=|3-8|=|-5|=5$$

# 2017 December(A10) Math Question 5

**Choice A**

Let d be the change in temperature:
$$24+d=-16\Rightarrow d=-40$$

# 2017 December(A10) Math Question 6

**Choice G**

$$1000+200\times 28-5400=1200$$

# 2017 December(A10) Math Question 7

**Choice E**

It can be proved that each side equals to 4.
$$perimeter=4\times 6=24$$

# 2017 December(A10) Math Question 8

**Choice J**

$$S_1=22\times40=880\\$$
$$S_2=22\times28=616\\$$
$$\Rightarrow S_1+S_2=1496$$

# 2017 December(A10) Math Question 9

**Choice C**

# 2017 December(A10) Math Question 10

**Choice H**

$$g(4)=\frac{4^2}{2}=\frac{16}{2}=8\\$$$$\Rightarrow f(g(4))=f(8)=3\times 8+7=31$$

# 2017 December(A10) Math Question 11

**Choice E**

$$profit=sales \ revenue-cost \ of \ sales=2h-200>0$$

# 2017 December(A10) Math Question 12

**Choice G**

$$3x+8y=5$$
$$\Rightarrow 8y=-3x+5 $$
$$\Rightarrow y=-\frac{3}{8}x+\frac{5}{8}$$

# 2017 December(A10) Math Question 13

**Choice A**

$$x+2y=2\ (given)\Rightarrow x=2-2y \ (a)\\$$
$$-2x+y=16 \ (given) \ and \ (a) \Rightarrow -2(2-2y)+y=16\Rightarrow y=4 \\$$
$$\Rightarrow x= 2-2\times4=-6$$

# 2017 December(A10) Math Question 14

**Choice K**

$$\frac{x \ miles}{2\frac{3}{4}inches}=\frac{16\ miles}{\frac{1}{4}\ inches}\\$$
$$\Rightarrow \frac{x}{\frac{11}{4}}=\frac{16}{\frac{1}{4}}\\$$
$$\Rightarrow \frac{x}{11}=\frac{16}{1}\\$$
$$\Rightarrow x=16\times11=176 \ miles$$

# 2017 December(A10) Math Question 15

**Choice E**

$$4\begin{bmatrix}-1&2\\0&-4\\ \end{bmatrix}=\begin{bmatrix}-1\times4&2\times4\\0\times4&-4\times4\\ \end{bmatrix}=\begin{bmatrix}-4&8\\0&-16\\ \end{bmatrix}$$

# 2017 December(A10) Math Question 16

**Choice J**

$$tan \ A=\frac{15}{8}$$

# 2017 December(A10) Math Question 17

**Choice D**

$$x=\frac{8 \ miles}{60 \ minutes}\times12 \ minutes=1\frac{3}{5}$$

# 2017 December(A10) Math Question 18

**Choice G**

$$f(-3)=-6\cdot(-3)^2=-6\cdot9=-54$$

# 2017 December(A10) Math Question 19

**Choice B**

# 2017 December(A10) Math Question 20

**Choice F**

$$Let \ the \ linear \ function \ be \ y=kx+b \\$$
$$\Rightarrow 2=5k+b\\$$
$$6=15k+b\\$$
$$\Rightarrow k=\frac{2}{5},\ b=0\\$$
$$y=\frac{2}{5}x$$

# 2017 December(A10) Math Question 21

**Choice C**

When at noon (12pm), the …

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# 2017 December(A10) Math Question 22

**Choice K**

Let the points on the …

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# 2017 December(A10) Math Question 23

**Choice A**

The area of 10 pins …

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# 2017 December(A10) Math Question 24

**Choice G**

$$\frac{65\times3\frac{1 …

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# 2017 December(A10) Math Question 25

**Choice D**

$$\frac{148+176+x}{3 …

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# 2017 December(A10) Math Question 26

**Choice F**

$$l=3w\\$$
$$ S=l\cdot …

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# 2017 December(A10) Math Question 27

**Choice C**

$$16+16+2x=96 \\$$
$$ \Rightarrow …

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# 2017 December(A10) Math Question 28

**Choice H**

8+6+12+8+6 …

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# 2017 December(A10) Math Question 29

**Choice A**

$$2500\times \frac{4}{10 …

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# 2017 December(A10) Math Question 30

**Choice H**

$$\sin^2 \theta+\cos^2 …

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# 2017 December(A10) Math Question 31

**Choice C**

$$f(t)=\frac {2}{t …

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# 2017 December(A10) Math Question 32

**Choice J**

$$ BD=\sqrt{BC^2-CD^2 …

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# 2017 December(A10) Math Question 33

**Choice C**

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# 2017 December(A10) Math Question 34

**Choice G**

$$ t=\frac{9000}{300}=30$$

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# 2017 December(A10) Math Question 35

**Choice A**

B is apparently decreasing. C …

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# 2017 December(A10) Math Question 36

**Choice G**

$$\frac{3}{4}\times 4 …

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# 2017 December(A10) Math Question 37

**Choice E**

$$ x+6=2(x+3 …

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# 2017 December(A10) Math Question 38

**Choice J**

Let L be the length …

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# 2017 December(A10) Math Question 39

**Choice C**

The range and the mean …

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# 2017 December(A10) Math Question 40

**Choice K**

Ruben completed $$1-\frac{2 …

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# 2017 December(A10) Math Question 41

**Choice C**

$$\frac{(2a^{-1}\sqrt{b …

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# 2017 December(A10) Math Question 42

**Choice G**

There is only one correct …

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# 2017 December(A10) Math Question 43

**Choice D**

$$\frac{\frac{x}{3}+\frac …

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# 2017 December(A10) Math Question 44

**Choice K**

10×10×10×26×26 …

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# 2017 December(A10) Math Question 45

**Choice A**

The function is moved to …

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# 2017 December(A10) Math Question 46

**Choice K**

$$ x=5^{-2}=\frac{1 …

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# 2017 December(A10) Math Question 47

**Choice D**

$$\frac{1}{5}=\frac{2 …

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# 2017 December(A10) Math Question 48

**Choice F**

The effect of a number …

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# 2017 December(A10) Math Question 49

**Choice B**

$$ 39^2=38^2+37 …

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# 2017 December(A10) Math Question 50

**Choice K**

$$ x+2=\frac{4x+(x …

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# 2017 December(A10) Math Question 51

**Choice D**

As seen from the diagram …

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# 2017 December(A10) Math Question 52

**Choice J**

$$ s_2=2s_1+3=2\times3 …

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# 2017 December(A10) Math Question 53

**Choice E**

Let a be -2: $$ |a …

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# 2017 December(A10) Math Question 54

**Choice J**

$$ Expected \ value \ of \ X = 1 …

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# 2017 December(A10) Math Question 55

**Choice B**

Since x, y and z …

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# 2017 December(A10) Math Question 56

**Choice G**

$$ 24=\frac{42+3+11 …

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# 2017 December(A10) Math Question 57

**Choice A**

For A:
$$ \\2\times(W …

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# 2017 December(A10) Math Question 58

**Choice J**

$$(x-7)^2+(y-8)^2=10 …

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# 2017 December(A10) Math Question 59

**Choice D**

$$V_0=30\times25\times5\\$$
$$ V_1 …

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# 2017 December(A10) Math Question 60

**Choice K**

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