Exam Instructions and Formulas

Given that the area of a field, $L$, and the number of workers, $w$, are related to the time taken, $t$, to mow the lawn by a constant $k$, and that 5 workers need 3 hours to mow a field of area $4 \times 10^6 m^2$, what impact would increasing the number of workers have on the time taken to mow the same field?

A point Y moves within a square PQRS. What geometrical shape does the locus of point Y form if it maintains a constant distance of 3 units from a fixed point K inside the square?

A company, Malware Internet, has 5 internet channels (P, Q, R, S, T) for sending messages. Based on the number of messages that can be sent by each channel, what would a graph with multiple edges and loops primarily represent?

Given the statement: 'If $x$ is a multiple of 6, then $x$ is a multiple of 3', which of the following is the correct converse of the statement and its truth value?

Given $\cos \theta = -0.5150$ and $90^\circ \leq \theta \leq 270^\circ$, how would the graph $y = 1.5 \cos 2x - 1$ change if the amplitude were to change to 3?

Transformation M is a translation $\begin{pmatrix} 7 \ -2 \end{pmatrix}$, and transformation N is a reflection in the line $y = x$. If transformation NM is applied to the point (1, 4), how would you determine the coordinates of the image?

Diagram 4 shows the steps in a financial management process, with one step labelled as 'R'. If the steps listed are 'Setting goals', 'Evaluating financial status', 'Creating financial plan', and 'Carrying out financial plan'. What would be the most logical next step to label as 'R'?

Table 2 lists the income and expenses for Amelia and Julia. What key financial metric would best determine who is in a better financial position?

Given $4y - 3x = 48$ and the ratio of distance $AB : BC$ in diagram 5 is 3:4, how does the change in the ratio $AB : BC$ affects the equation of the line $AE$?

In diagram 6, a stage is decorated for a retirement ceremony with quarter circles of ornamental grass. If the length $AB = 12$ m, $B$ is the midpoint of $AC$ and $FG = \frac{2}{3}CD$, how changing $AB$ would affect the total area covered with ornamental grass?

Based on the data about music preferences obtained from a survey of 50 students, how would changes in the number of students who like all three genres (Rock, Ballad, and Hip Hop) affect the Venn diagram?

Puan Lim invited 150 guests to a Chinese New Year open house. She prepares a cylindrical container filled with drinks and hexagonal glasses. If she commands her daughter to fill the glass three-quarters full and that each guest refills their drink five times, then which parameter will most critically dictate the validity of if that container will be enough?

Given that matrix $H = \begin{pmatrix} 2 & 6 \ 1 & k \end{pmatrix}$, for what value of k does the inverse of matrix H not exist?

The stem and leaf diagram in diagram 8 shows the scores for the representatives Faris and Danesh in a STEM quiz. How would you use stem and leaf diagrams in general to interpret and compare data?

Given the equation $y = 14 + 2x - x^2$, and the x-axis ranges from -3.5 to 4, the scales for both axes must be determined. You are required to use graph paper to perform this calculation. Using a flexible curve rule; if the graph is reflected on the y-axis, what changes can be observed?

A club is ordering shirts for adults and children. The total number of shirts is at most 80. The number of children's shirts is at most double the number of adult shirts; and a minimum of 10 children's shirts are ordered. What is primarily being defined by such requirements?

Puan Juhaida is venturing into cattle farming. What formula can be used to find the rate of the farm's growth?

Diagram 10 illustrates that Napier Grass (needed every day to sustain both cows and goats) must follow a very regimented supply plan. If the cows or goats require more of one input, what happens to the cost?

Puan Juhaida has a choice between Bank Karisma (4.3% per annum compounded 6 times a year) and Bank Nurani (4.75% per annum compounded 2 times a year). What best describes the type of risk that she is assuming with both Banks?

Encik Farid divides his land into two sections for rearing chickens and planting durian trees. If the ratio of the length of PU to the length of UQ is 1:2, and T is the midpoint of QR, what is an appropriate formula?

Encik Farid delivers chickens with an average speed of $x$ $kmh^{-1}$, over 200 km. He increases average speed by $20$ $kmh^{-1}$, shortening the duration by $30$ minutes. Does Encik follow the expressway regulations with a limit of 90kmh

Encik Farid stops at a R&R and randomly takes out two bills from his wallet to pay in cash. What will happen to the overall probability?

Assuming the time taken, t, to mow a lawn varies directly with area, L, and indirectly with the number of workers, w, which of the following represents the correct relationship where k is the constant of proportionality?

Given some geometric shapes, if hexagon L is the image of hexagon K under a transformation Q, how does this inform its congruence with K?

How will the range change if the graph of a cosine function is modified?

Given the formula: $A = \frac{1}{2}bh$, what would we use this in context of?

Malware Internet requires multiple edges in an internet network. What do multiple edges primarily measure/represent?

Given the equation for total repayment, what does P represent in $A = P + Prt$?

What does a fixed deposit account do regarding risk? What kind of risk is inherent?

Which method would you calculate the mode of a number series?

How does linear programming helps specify an area?

What do pie charts represent?

Assuming a company grows using compound interest, what is the overall pattern as it matures?

Given both triangle properties and overall area, can the height be determined?

A boat sails faster near shore but decelerates farther away. What describes that nature?

An athlete trains for a long event and knows the amount to conserve and spend during some time to reach the finishing line. If the athlete suddenly receives the opposite information for the conditions, how would that play out?

How can we solve for unknowns in an interconnected system?

In matrix mechanics, if the overall result is 0, what can we conclude?

Overall, what is the purpose of a decision? Which is most important to note?