Question 14:
Table 6 shows the financial plan of Abu’s family for January 2024.
(a) If the savings for the emergency fund is 15% of their total monthly income, find the value of y. [2 marks]
(b) Hence, calculate their monthly cash flow. [2 marks]
(c) In the following month, Abu loses his passive income. Therefore, he sets 10% of their monthly income as savings for a new emergency fund.
(i) Calculate the amount of the deficit for that month if he maintains other expenses. [3 marks]
(ii) Suggest one change that Abu can make to his spending to avoid the deficit. [1 mark]
Answer:
(a) $$ \begin{aligned} y & =\frac{15}{100} \times(\text { RM6 } 500+\text { RM4 } 550+\text { RM1 } 500) \\ & =\frac{15}{100} \times \text { RM12 } 550 \\ & =\text { RM1 } 882.50 \end{aligned} $$
(b) $$ \begin{aligned} &\text { Abu’s family monthly cash flow }\\ &\begin{aligned} = & (\mathrm{RM} 6500+\mathrm{RM} 4550+\mathrm{RM} 1500)-(\mathrm{RM} 5250+\mathrm{RM} 1882.50+ \\ & \mathrm{RM} 1200+\mathrm{RM} 300+\mathrm{RM} 400+\mathrm{RM} 1800+\mathrm{RM} 500+\mathrm{RM} 900) \\ = & \mathrm{RM} 12550-\mathrm{RM} 12232.50 \\ = & \mathrm{RM} 317.50 \end{aligned} \end{aligned} $$
(c)(i) $$ \begin{aligned} &\text { (i) Amount of deficit }\\ &\begin{aligned} & =(\text { RM6 } 500+\text { RM4 550 })-\left[\text { RM5 } 250+\left(\begin{array}{l} \left(\begin{array}{l} \frac{10}{100} \times \text { RM6 } 500+\text { RM4 } 550 \\ + \text { RM1 } 200+\text { RM300 }+ \text { RM400 } \\ + \text { RM1 } 800+\text { RM500 }+ \text { RM900 } \end{array}\right) \end{array}\right]\right. \\ & =\text { RM11 } 050-\text { (RM5 } 250+\text { RM6 205) } \\ & =\text { RM11 } 050-\text { RM11 } 455 \\ & =- \text { RM405 } \end{aligned} \end{aligned} $$
(c)(ii) Reduce expenses on groceries / home utilities / petrol expenses / children’s education / travel / entertainment.
Table 6 shows the financial plan of Abu’s family for January 2024.
(a) If the savings for the emergency fund is 15% of their total monthly income, find the value of y. [2 marks](b) Hence, calculate their monthly cash flow. [2 marks]
(c) In the following month, Abu loses his passive income. Therefore, he sets 10% of their monthly income as savings for a new emergency fund.
(i) Calculate the amount of the deficit for that month if he maintains other expenses. [3 marks]
(ii) Suggest one change that Abu can make to his spending to avoid the deficit. [1 mark]
Answer:
(a) $$ \begin{aligned} y & =\frac{15}{100} \times(\text { RM6 } 500+\text { RM4 } 550+\text { RM1 } 500) \\ & =\frac{15}{100} \times \text { RM12 } 550 \\ & =\text { RM1 } 882.50 \end{aligned} $$
(b) $$ \begin{aligned} &\text { Abu’s family monthly cash flow }\\ &\begin{aligned} = & (\mathrm{RM} 6500+\mathrm{RM} 4550+\mathrm{RM} 1500)-(\mathrm{RM} 5250+\mathrm{RM} 1882.50+ \\ & \mathrm{RM} 1200+\mathrm{RM} 300+\mathrm{RM} 400+\mathrm{RM} 1800+\mathrm{RM} 500+\mathrm{RM} 900) \\ = & \mathrm{RM} 12550-\mathrm{RM} 12232.50 \\ = & \mathrm{RM} 317.50 \end{aligned} \end{aligned} $$
(c)(i) $$ \begin{aligned} &\text { (i) Amount of deficit }\\ &\begin{aligned} & =(\text { RM6 } 500+\text { RM4 550 })-\left[\text { RM5 } 250+\left(\begin{array}{l} \left(\begin{array}{l} \frac{10}{100} \times \text { RM6 } 500+\text { RM4 } 550 \\ + \text { RM1 } 200+\text { RM300 }+ \text { RM400 } \\ + \text { RM1 } 800+\text { RM500 }+ \text { RM900 } \end{array}\right) \end{array}\right]\right. \\ & =\text { RM11 } 050-\text { (RM5 } 250+\text { RM6 205) } \\ & =\text { RM11 } 050-\text { RM11 } 455 \\ & =- \text { RM405 } \end{aligned} \end{aligned} $$
(c)(ii) Reduce expenses on groceries / home utilities / petrol expenses / children’s education / travel / entertainment.
Question 15:
(a) Diagram 9.1 in the answer space shows a tessellation.
(i) Describe fully the transformation that maps shape M onto shape N. [2 marks]
(ii) Complete the tessellation. You must show a total of eight repeated shapes. [1 mark]
Answer:
(a)(ii)
(b) Diagram 9.2 shows shape P and shape Q drawn on a Cartesian plane.
It is given that shape Q is the image of shape P under a single transformation.
Describe fully the transformation.
[3 marks]
(c) Diagram 9.3 shows a design for a banner.
Siva wants to order some banners. The actual size of the banners is an enlargement of the design using a scale factor of 50.
(i) Find the area, in m2, of a banner. [2 marks]
(ii) The cost of printing is RM18 per m2. Siva has RM600.
Does Siva have enough money to print 12 banners? Justify your answer. [2 marks]
Answer:
(a)(i) Reflection on the PT line.
(a)(ii)
(b) Enlargement at the centre (0,0) with scale factor of -2.
(c)(i)
Area of a banner $$ \begin{aligned} & =50^2 \times \frac{5 \mathrm{~cm}}{100} \times \frac{2 \mathrm{~cm}}{100} \\ & =2500 \times 0.05 \mathrm{~m} \times 0.02 \mathrm{~m} \\ & =2.5 \mathrm{~m}^2 \end{aligned} $$
(c)(ii)
Cost of printing for 12 banners $$ \begin{aligned} & =2.5 \mathrm{~m}^2 \times 12 \times \frac{\mathrm{RM} 18}{\mathrm{~m}^2} \\ & =\mathrm{RM} 540 \end{aligned} $$
RM540 < RM600. Siva have enough money to print 12 banners.
(a) Diagram 9.1 in the answer space shows a tessellation.
(i) Describe fully the transformation that maps shape M onto shape N. [2 marks]
(ii) Complete the tessellation. You must show a total of eight repeated shapes. [1 mark]
Answer:
(a)(ii)
(b) Diagram 9.2 shows shape P and shape Q drawn on a Cartesian plane.
It is given that shape Q is the image of shape P under a single transformation.Describe fully the transformation.
[3 marks]
(c) Diagram 9.3 shows a design for a banner.
Siva wants to order some banners. The actual size of the banners is an enlargement of the design using a scale factor of 50.
(i) Find the area, in m2, of a banner. [2 marks]
(ii) The cost of printing is RM18 per m2. Siva has RM600.
Does Siva have enough money to print 12 banners? Justify your answer. [2 marks]
Answer:
(a)(i) Reflection on the PT line.
(a)(ii)
(b) Enlargement at the centre (0,0) with scale factor of -2.
(c)(i)
Area of a banner $$ \begin{aligned} & =50^2 \times \frac{5 \mathrm{~cm}}{100} \times \frac{2 \mathrm{~cm}}{100} \\ & =2500 \times 0.05 \mathrm{~m} \times 0.02 \mathrm{~m} \\ & =2.5 \mathrm{~m}^2 \end{aligned} $$
(c)(ii)
Cost of printing for 12 banners $$ \begin{aligned} & =2.5 \mathrm{~m}^2 \times 12 \times \frac{\mathrm{RM} 18}{\mathrm{~m}^2} \\ & =\mathrm{RM} 540 \end{aligned} $$
RM540 < RM600. Siva have enough money to print 12 banners.