Question 5:
(a) The Venn diagram in the answer space shows set J, set K and set L such that the universal set, ξ = J ∪ K ∪ L.
On the diagram in the answer space, shade the set (J ∩ K) ∪ L. [2 marks]
Answer:
(a)
(b) Diagram 2 is a Venn diagram showing the number of contestants who take part in an online competition. It is given that;
the universal set, ξ = { total number of contestants },
set P = {STEM competition contestants} and
set Q = { Video competition contestants }.
Given n(P ∩ Q)’ = 52, calculate the value of x. [2 marks]
Answer:
(a)
(b)
$$ \begin{aligned} 5 x+x+1+3 & =52 \\ 6 x+4 & =52 \\ 6 x & =52-4 \\ 6 x & =48 \\ x & =48 \div 6 \\ x & =8 \end{aligned} $$
(a) The Venn diagram in the answer space shows set J, set K and set L such that the universal set, ξ = J ∪ K ∪ L.
On the diagram in the answer space, shade the set (J ∩ K) ∪ L. [2 marks]
Answer:
(a)
(b) Diagram 2 is a Venn diagram showing the number of contestants who take part in an online competition. It is given that;
the universal set, ξ = { total number of contestants },
set P = {STEM competition contestants} and
set Q = { Video competition contestants }.
Given n(P ∩ Q)’ = 52, calculate the value of x. [2 marks]
Answer:
(a)
(b)
$$ \begin{aligned} 5 x+x+1+3 & =52 \\ 6 x+4 & =52 \\ 6 x & =52-4 \\ 6 x & =48 \\ x & =48 \div 6 \\ x & =8 \end{aligned} $$
Question 6:
Diagram 3 shows Ayu’s annual income statement.
In 2024, Ayu has donated RM1 200 to Tabung Bencana Negara. She claimed tax reliefs for individual for RM9 000, lifestyle for RM2 500, her father’s medical treatment expenses for RM3 400 and part time tuition fees for RM6 500.
(a) Calculate Ayu’s chargeable income for the year 2024. [2 marks]
(b) Table 2 shows an Individual Income Tax Rates for Assessment Year of 2024.
Calculate the income tax payable by Ayu for that year.
[3 marks]
Answer:
(a)
Ayu’s chargeable income for the year 2024 $$ \begin{aligned} & =\text { RM72 } 400 \text { – RM7 } 964 \text { – RM1 } 200 \text { – RM9 } 000 \text { – RM2 } 500 \text { – RM3 } 400 \text { – } \\ & \text { RM6 } 500 \\ & =\text { RM41 } 836 \end{aligned} $$
(b)
Income tax payable by Ayu $$ \begin{aligned} & =\text { RM } 600+(\text { RM } 41836-\text { RM } 35000) \times \frac{6}{100}-\text { RM } 360 \\ & =\text { RM } 600+\text { RM410.16 }- \text { RM } 360 \\ & =\text { RM } 650.16 \end{aligned} $$
Diagram 3 shows Ayu’s annual income statement.
In 2024, Ayu has donated RM1 200 to Tabung Bencana Negara. She claimed tax reliefs for individual for RM9 000, lifestyle for RM2 500, her father’s medical treatment expenses for RM3 400 and part time tuition fees for RM6 500.
(a) Calculate Ayu’s chargeable income for the year 2024. [2 marks]
(b) Table 2 shows an Individual Income Tax Rates for Assessment Year of 2024.
Calculate the income tax payable by Ayu for that year.
[3 marks]
Answer:
(a)
Ayu’s chargeable income for the year 2024 $$ \begin{aligned} & =\text { RM72 } 400 \text { – RM7 } 964 \text { – RM1 } 200 \text { – RM9 } 000 \text { – RM2 } 500 \text { – RM3 } 400 \text { – } \\ & \text { RM6 } 500 \\ & =\text { RM41 } 836 \end{aligned} $$
(b)
Income tax payable by Ayu $$ \begin{aligned} & =\text { RM } 600+(\text { RM } 41836-\text { RM } 35000) \times \frac{6}{100}-\text { RM } 360 \\ & =\text { RM } 600+\text { RM410.16 }- \text { RM } 360 \\ & =\text { RM } 650.16 \end{aligned} $$
Question 7
:
Zul plans to renew his car insurance in Peninsular Malaysia. His car has an engine capacity of 2000 cc and he wants to insure it for a sum of RM90 000.
Table 3.1 shows the rate charged for the first RM1 000 of the sum insured for a comprehensive policy.
For the comprehensive policy of Zul’s car,
(a) state the rate charged for the first RM1 000. [1 mark]
(b) Table 3.2 shows the formula to calculate the basic premium of the comprehensive policy.
Calculate the basic premium that Zul has to pay. [2 marks]
Answer:
(a) Rate charged for the first RM1 000 = RM339.10
(b)
Basic premium that Zul has to pay $$ \begin{aligned} & =\text { RM339.10 }+\frac{90000-1000}{1000} \times \text { RM26 } \\ & =\text { RM339.10 }+ \text { RM2 } 314 \\ & =\text { RM2 653.10 } \end{aligned} $$
Zul plans to renew his car insurance in Peninsular Malaysia. His car has an engine capacity of 2000 cc and he wants to insure it for a sum of RM90 000.
Table 3.1 shows the rate charged for the first RM1 000 of the sum insured for a comprehensive policy.
For the comprehensive policy of Zul’s car,(a) state the rate charged for the first RM1 000. [1 mark]
(b) Table 3.2 shows the formula to calculate the basic premium of the comprehensive policy.
| Rate for the first RM1 000 + RM26 for each RM1 000 or part thereof on value exceeding the first RM1 000. |
Answer:
(a) Rate charged for the first RM1 000 = RM339.10
(b)
Basic premium that Zul has to pay $$ \begin{aligned} & =\text { RM339.10 }+\frac{90000-1000}{1000} \times \text { RM26 } \\ & =\text { RM339.10 }+ \text { RM2 } 314 \\ & =\text { RM2 653.10 } \end{aligned} $$