SPM Mathematics 2025, Paper 1 (Question 1 – 10)

Question 1:
Round off 80649 correct to three significant figures.
A   80600
B   80650
C   80700
D   81000

Solution:
Answer : A

Question 2:
It is given that number sequence 0.07, -0.28, 1.12, -4.48, 17.92, …..
Determine the pattern of the number sequence.
A   Divide the previous number by 4
B   Divide the previous number by -4
C   Multiply the previous number by 4
D   Multiply the previous number by -4

Solution:
Answer : D

Question 3:
Determine the digit value of 317₈ in base ten.

 
Solution:
Answer : D
$$ \begin{aligned} 317_8 & =\left(3 \times 8^2\right)+\left(1 \times 8^1\right)+\left(7 \times 8^0\right) \\ & =192+8+7 \end{aligned} $$

Question 4:
The Sunshine Used Car Shop has sold 1300 cars in 2023. Table 1 shows the percentage of car sales for national cars and imported cars for that year.

Calculate the difference in number of sales between national car and imported car in base six.
A   1532₆
B   2014₆
C   2351₆
D   3550₆


Solution:
Answer : A
$$ \begin{aligned} &\text { Number of sales for national car }\\ &\begin{aligned} & =\frac{34}{100} \times 1300 \\ & =442 \end{aligned} \end{aligned} $$
$$ \begin{aligned} &\text { Number of sales for imported car }\\ &\begin{aligned} & =\frac{66}{100} \times 1300 \\ & =858 \end{aligned} \end{aligned} $$

$$ \begin{aligned} &\text { Difference in number of sales between national car and imported car }\\ &\begin{aligned} & =858-442 \\ & =416 \end{aligned} \end{aligned} $$

Difference in number of sales between national car and imported car in base six = 1532₆

Question 5:
Azli wants to pay a down payment of 15% from the car price worth RM60 000. He plans to save the down payment within 2 years. Table 2 shows Azli’s monthly expenses.

Calculate Azli’s minimum total salary to achieve his goal.
A   RM3 130
B   RM3 205
C   RM3 505
D   RM3 800


Solution:
Answer : B
$$ \begin{aligned} &\text { Down payment }\\ &\begin{aligned} & =\frac{15}{100} \times \text { RM } 60000 \\ & =\text { RM9 } 000 \end{aligned} \end{aligned} $$
$$ \begin{aligned} &\text { Total expenses }\\ &\begin{aligned} & \text { = RM1 } 300 \text { + RM280 + RM500 + RM750 } \\ & =\text { RM2 } 830 \end{aligned} \end{aligned} $$


$$ \begin{aligned} &\text { Monthly savings }\\ &\begin{aligned} & =\frac{\mathrm{RM} 9000}{2 \times 12} \\ & =\mathrm{RM} 375 \end{aligned} \end{aligned} $$
$$ \begin{aligned} &\text { Azli’s minimum total salary to achieve his goal }\\ &\begin{aligned} & =\text { RM2 } 830+\text { RM375 } \\ & =\text { RM3 } 205 \end{aligned} \end{aligned} $$

Question 8:
Zira has a medical insurance policy with an annual limit of RM200 000 and a deductible of RM5 000. She was warded for an operation and the treatment cost was RM135 000. Calculate the amount paid by the insurance company.
$$ \begin{aligned} &\text { A RM60000 }\\ &\text { C RM130000 }\\ &\text { B RM70 } 000\\ &\text { D RM140000 } \end{aligned} $$

Solution:
Answer : C
$$ \begin{aligned} &\text { Amount paid by the insurance company }\\ &\begin{aligned} & =\text { RM135 } 000 \text { – RM5 } 000 \\ & =\text { RM130 } 000 \end{aligned} \end{aligned} $$

Question 10:
$$ \text { Given that } \frac{6-2 x}{3}=4 x \text {, find the value of } x \text {. } $$
$$ \begin{aligned} &\text { A } \frac{1}{7}\\ &\text { B } \frac{1}{3}\\ &\text { C } \frac{3}{7}\\ &\text { D } \frac{3}{5} \end{aligned} $$

Solution:
Answer : C
$$ \begin{aligned} \frac{6-2 x}{3} & =4 x \\ 6-2 x & =4 x \times 3 \\ 6-2 x & =12 x \\ 6 & =12 x+2 x \\ 14 x & =6 \\ x & =\frac{6}{14} \\ x & =\frac{3}{7} \end{aligned} $$