# 2019 June(A11) Math Question 1 Choice D

\begin{align*} & 4x+37.8=9\times9.8 \\ & x=12.6 \end{align*}

# 2019 June(A11) Math Question 2 Choice H # 2018 June(A11) Math Question 3 Choice C

Shantiel travelled for 18 hours from 9am to 3am the next day. \begin{align*} s=\frac{648}{18}=36 \end{align*}

# 2018 June(A11) Math Question 4 Choice J

\begin{align*} n=300+\frac{16.5-10}{0.1}=365 \end{align*}

# 2018 June(A11) Math Question 5 Choice A

\begin{align*} \begin{bmatrix} 9&8\\ -4&7\\ \end{bmatrix}+ \begin{bmatrix} -6&6\\ 5&4\\ \end{bmatrix}= \begin{bmatrix} 9-6&8+6\\ -4+5&7+4\\ \end{bmatrix}= \begin{bmatrix} 3&14\\ 1&11\\ \end{bmatrix} \end{align*}

# 2018 June(A11) Math Question 6 Choice D

$$f(4,3)=3\cdot 4^2-4\cdot 3=36$$

# 2018 June(A11) Math Question 7 Choice D

\begin{align*} mean \ age =\frac{10\times3+5\times2}{5}=8 \end{align*}

# 2018 June(A11) Math Question 8 Choice H

\begin{align*} AC \parallel DE , \ BD=AD\\ \Rightarrow DE=\frac{AC}{2}=\frac{8}{2}=4 \end{align*}

# 2018 June(A11) Math Question 9 Choice B

\begin{align*} n=22000\times \frac{337}{500}=14828\approx 14830 \end{align*}

# 2018 June(A11) Math Question 10 Choice G

\begin{align*} Total \ payment=400+300\times48=14800 \\ Difference=14800-13400=1400 \end{align*}

# 2018 June(A11) Math Question 11 Choice A

\begin{align*} 4x+7y=9 \\ \Rightarrow 7y=-4x+9 \\ \Rightarrow y=-\frac {4}{7}x+\frac {9}{7} \\ \Rightarrow Slope =-\frac {4}{7} \end{align*}

# 2018 June(A11) Math Question 12 Choice G \begin{align*} \angle C= \angle D + \angle F = 90°+25°=115° \end{align*}

# 2018 June(A11) Math Question 13 Choice C

\begin{align*} x^2+x-30=0\\ \Rightarrow (x+6)(x-5)=0\\ \Rightarrow x=-6,\ 5\\ \Rightarrow sum \ of two \ solutions=-6+5=-1 \end{align*}

# 2018 June(A11) Math Question 14 Choice F

\begin{align*} d=4\\ \Rightarrow r=\frac{d}{2}=\frac{4}{2}=2\\ \Rightarrow v=\frac{4\pi r^3}{3}=\frac{4\pi 2^3}{3}=\frac{32}{3} \pi \end{align*}

# 2018 June(A11) Math Question 15 Choice C

\begin{align*} 10=\sqrt{100} \ which\ is\ greater\ than\ \sqrt{85} \\ 9=\sqrt{81} \ which\ is\ less\ than\ \sqrt{85} \end{align*}

# 2018 June(A11) Math Question 16 Choice K \begin{align*} \end{align*}

# 2018 June(A11) Math Question 17 Choice A

\begin{align*} 2=\frac {8+x}{2}\Rightarrow x=-4 \end{align*}

# 2018 June(A11) Math Question 18 Choice K

\begin{align*} p=\frac{8+7}{25}=\frac{15}{25}=\frac{3}{5}=60\% \end{align*}

# 2018 June(A11) Math Question 19 Choice A

\begin{align*} x=40-(83-75)\times 1.2=30.4 \end{align*}

# 2018 June(A11) Math Question 20 Choice G

\begin{align*} x+2+x=5 \Rightarrow x=\frac{3}{2}\\ y+2+y=6 \Rightarrow y=2\\ \Rightarrow shaded \ area=xy=\frac{3}{2}\times 2=3 \end{align*}

# 2018 June(A11) Math Question 21 Choice D

\begin{align*} 5x+(3x+30 …

# 2018 June(A11) Math Question 22 Choice J

\begin{align*} ^nP_k=\frac{n …

# 2018 June(A11) Math Question 23 Choice E

\begin{align*} 2+200\%\cdot1 …

# 2018 June(A11) Math Question 24 Choice H

\begin{align*} Choice \ H: y …

# 2018 June(A11) Math Question 25 Choice C \begin{align*} & Let\ a\ be …

# 2018 June(A11) Math Question 26 Choice H \begin{align*} Area \ of \ patio …

# 2018 June(A11) Math Question 27 Choice D

\begin{align*} cost=12\times …

# 2018 June(A11) Math Question 28 Choice J

\begin{align*} 1 \ full \ lap …

# 2018 June(A11) Math Question 29 Choice B

\begin{align*} k=\frac{0-5 …

# 2018 June(A11) Math Question 30 Choice K

\begin{align*} cost \ of \ 1 …

# 2018 June(A11) Math Question 31 Choice C

\begin{align*} \frac{5 \ feet …

# 2018 June(A11) Math Question 32 Choice H

\begin{align*} 18+18\times …

# 2018 June(A11) Math Question 33 Choice B \begin{align*} \end{align*}

# 2018 June(A11) Math Question 34 Choice K

\begin{align*} increase \ in \ sum …

# 2018 June(A11) Math Question 35 Choice E

One need to know that …

# 2018 June(A11) Math Question 36 Choice G

\begin{align*} 2x-6=0\\ \Rightarrow …

# 2018 June(A11) Math Question 37 Choice C

\begin{align*} xy=0 \Rightarrow …

# 2018 June(A11) Math Question 38 Choice F

\begin{align*} v=\frac{3 …

# 2018 June(A11) Math Question 39 Choice A

\begin{align*} 2.5 \ million …

# 2018 June(A11) Math Question 40 Choice K \begin{align*} \tan 70°=\frac …

# 2018 June(A11) Math Question 41 Choice E

\begin{align*} a-2=6 \Rightarrow …

# 2018 June(A11) Math Question 42 Choice F

\begin{align*} c=10b^3 …

# 2018 June(A11) Math Question 43 Choice A

\begin{align*} f(g(x …

# 2018 June(A11) Math Question 44 Choice J

\begin{align*} d_1=12 \Rightarrow …

# 2018 June(A11) Math Question 45 Choice D

The first 6 prime numbers …

# 2018 June(A11) Math Question 46 Choice K

One need to know that …

# 2018 June(A11) Math Question 47 Choice A \begin{align*} 13x=5\times12 …

# 2018 June(A11) Math Question 48 Choice K

\begin{align*} a>0 \Rightarrow …

# 2018 June(A11) Math Question 49 Choice D

\begin{align*} x < y \Rightarrow x+y<2y \ (1)\\ y<4 \Rightarrow 2y<8 \ (2)\\ (1)+(2) \Rightarrow x+y<8 \\ (x+y)_{greatest \ possible \ integer}=7 \end{align*}

# 2018 June(A11) Math Question 50 Choice G

\begin{align*} y=kx^2 …

# 2018 June(A11) Math Question 51 Choice D \begin{align*} \frac{(x-h)^2 …

# 2018 June(A11) Math Question 52 Choice H

The sum of the other …

# 2018 June(A11) Math Question 53 Choice B

The sum positive integers of …

# 2018 June(A11) Math Question 54 Choice G

\begin{align*} average \ rate =\frac …

# 2018 June(A11) Math Question 55 Choice D

\begin{align*} A=5n\\ B …

# 2018 June(A11) Math Question 56 Choice K

\begin{align*} x^\frac{2 …

# 2018 June(A11) Math Question 57 Choice B

\begin{align*} 1.25a\times0 …

# 2018 June(A11) Math Question 58 Choice F

When 3 and 4, or …

# 2018 June(A11) Math Question 59 Choice D \begin{align*} \end{align*}

# 2018 June(A11) Math Question 60 Choice G

\begin{align*} 1 \ yard = 3 …