Set 3

:00

The following numbers form a series: $3, 6, 18, 15, m, 54, 51, 54, 162$ . The value of $m$ is ....

If $x \ast y = (x + y + 1)x + xy$ and $a \ast (-1 \ast 2) = -10$ , then the value of $a$ satisfying the equation is ....

The relationship between speed and travel time of car brand A is presented in the table below.

Speed	$60 \text{ km/h}$	$72 \text{ km/h}$	$96 \text{ km/h}$
Time	$1 \text{ hour } 36 \text{ minutes}$	...	$1 \text{ hour}$

The time required if the car is driven at a speed of $72 \text{ km/h}$ is ....

Mrs. Kartika buys a jacket for $\text{Rp}250.000,00$ . The shop gives a discount of $25\%$ , and there is a tax of $5\%$ . The price Mrs. Kartika has to pay is ....

$\text{Rp}196.875,00$

$\text{Rp}196.775,00$

$\text{Rp}196.675,00$

$\text{Rp}196.575,00$

$\text{Rp}196.475,00$

The perimeter of a rectangle is $x \text{ cm}$ . If the length and width are $(8y + 5) \text{ cm}$ and $(6y + 1) \text{ cm}$ respectively, then the value of $y$ is ....

$\left(\frac{x}{28} + \frac{4}{7}\right) \text{ cm}$

$\left(\frac{x}{28} + \frac{2}{7}\right) \text{ cm}$

$\left(\frac{x}{28} - \frac{2}{7}\right) \text{ cm}$

$\left(\frac{x}{28} + \frac{3}{7}\right) \text{ cm}$

$\left(\frac{x}{28} - \frac{3}{7}\right) \text{ cm}$

Which of the following statements are correct regarding the line $5x - 10y = 3$ ?

Has a gradient of $-2$ .
Intersects the x-axis at the point $\left(\frac{3}{5}, 0\right)$ .
Intersects the y-axis at the point $\left(0, \frac{3}{10}\right)$ .
Intersects the y-axis at the point $\left(0, -\frac{3}{10}\right)$ .

The sum of three consecutive odd numbers is $1005$ .

Which of the following relationships is correct between quantities $P$ and $Q$ based on the information provided?

$P$	$Q$
The largest number	$401$

If $x = \frac{5}{6}$ and $y = \frac{3}{7}$ .

Which of the following relationships is correct between quantities $P$ and $Q$ based on the information provided?

$P$	$Q$
$\frac{\frac{1}{x}}{1 + \frac{2}{y}}$	$\frac{1}{x + y}$

Consider the following illustration!

Circle Illustration

A circle with center

O

and angle

\angle BOC = 50^\circ

If $O$ is the center of the circle, then the measure of $\angle OAC$ is ....

Given four ordered numbers $55, a, 73, b$ with an average of $68$ . If the difference between the values of $b$ and $a$ is $22$ , then the median of the four data points is ....

Which of the following statements is true?

$\frac{3}{7} > \frac{1}{3}$

$\frac{1}{5} > \frac{2}{9}$

$\frac{2}{3} > \frac{7}{8}$

$\frac{3}{5} > \frac{5}{6}$

$\frac{5}{9} > \frac{3}{4}$

To make a cup of tea, $\frac{1}{2}$ spoon of tea and $1\frac{1}{2}$ spoons of sugar are needed. If $2$ spoons of tea and $a$ spoons of sugar are used, which of the following relationships is correct between quantities $P$ and $Q$ based on the information provided?

$P$	$Q$
$a$	$8$

Consider the following illustration!

Two marbles will be placed into boxes, with the condition that one box can only hold one marble. The probability that the marbles are stored not adjacent to each other is ....

Given the matrix $\mathbf{P} = \begin{pmatrix} 3 - x & -5 \\ 6 & 3 \end{pmatrix}$ . If the determinant of $\mathbf{P}$ is $33$ , then the value of $x$ is ....

If $A(w \otimes z \oslash x \oplus y) = -w + \frac{z}{y} + 3x$ , then the value of $A(5 \otimes 4 \oslash 3 \oplus 2)$ is ....

Given the following plane figures:

Regular octagon.
Rhombus that is not a square.
Isosceles triangle that is not equilateral.
Kite that is not a square.

How many figures have more rotational symmetries than reflectional symmetries?

Given an integer $n$ , if $n$ divided by $8$ has a remainder of $5$ and if $n$ divided by $5$ has a remainder of $2$ . The possible values of $n$ are:

$29$
$37$
$44$
$77$

If $B_3 = 2$ , $B_5 = -1$ , and $B_n = B_{n+2} + B_{n-1}$ , then the value of $B_2$ is ....

The comparison between the size in the drawing and the actual size is as follows:

\text{drawing size} : \text{actual size} = 3 : 90

If there is a rectangle with an area of $810 \text{ m}^2$ and a width of $18 \text{ m}$ , then the length in the drawing is ....

For $-1 < x < 1$ .

Which of the following relationships is correct between quantities $P$ and $Q$ based on the information provided?

$P$	$Q$
$\frac{1 + x^4}{1 - x^2}$	$1 + x^4$

Try Out 2026

Set 3

:00

The following numbers form a series: $3, 6, 18, 15, m, 54, 51, 54, 162$ . The value of $m$ is ....

If $x \ast y = (x + y + 1)x + xy$ and $a \ast (-1 \ast 2) = -10$ , then the value of $a$ satisfying the equation is ....

The relationship between speed and travel time of car brand A is presented in the table below.

Speed	$60 \text{ km/h}$	$72 \text{ km/h}$	$96 \text{ km/h}$
Time	$1 \text{ hour } 36 \text{ minutes}$	...	$1 \text{ hour}$

The time required if the car is driven at a speed of $72 \text{ km/h}$ is ....

Mrs. Kartika buys a jacket for $\text{Rp}250.000,00$ . The shop gives a discount of $25\%$ , and there is a tax of $5\%$ . The price Mrs. Kartika has to pay is ....

$\text{Rp}196.875,00$

$\text{Rp}196.775,00$

$\text{Rp}196.675,00$

$\text{Rp}196.575,00$

$\text{Rp}196.475,00$

The perimeter of a rectangle is $x \text{ cm}$ . If the length and width are $(8y + 5) \text{ cm}$ and $(6y + 1) \text{ cm}$ respectively, then the value of $y$ is ....

$\left(\frac{x}{28} + \frac{4}{7}\right) \text{ cm}$

$\left(\frac{x}{28} + \frac{2}{7}\right) \text{ cm}$

$\left(\frac{x}{28} - \frac{2}{7}\right) \text{ cm}$

$\left(\frac{x}{28} + \frac{3}{7}\right) \text{ cm}$

$\left(\frac{x}{28} - \frac{3}{7}\right) \text{ cm}$

Which of the following statements are correct regarding the line $5x - 10y = 3$ ?

Has a gradient of $-2$ .
Intersects the x-axis at the point $\left(\frac{3}{5}, 0\right)$ .
Intersects the y-axis at the point $\left(0, \frac{3}{10}\right)$ .
Intersects the y-axis at the point $\left(0, -\frac{3}{10}\right)$ .

The sum of three consecutive odd numbers is $1005$ .

Which of the following relationships is correct between quantities $P$ and $Q$ based on the information provided?

$P$	$Q$
The largest number	$401$

If $x = \frac{5}{6}$ and $y = \frac{3}{7}$ .

Which of the following relationships is correct between quantities $P$ and $Q$ based on the information provided?

$P$	$Q$
$\frac{\frac{1}{x}}{1 + \frac{2}{y}}$	$\frac{1}{x + y}$

Consider the following illustration!

Circle Illustration

A circle with center

O

and angle

\angle BOC = 50^\circ

If $O$ is the center of the circle, then the measure of $\angle OAC$ is ....

Given four ordered numbers $55, a, 73, b$ with an average of $68$ . If the difference between the values of $b$ and $a$ is $22$ , then the median of the four data points is ....

Which of the following statements is true?

$\frac{3}{7} > \frac{1}{3}$

$\frac{1}{5} > \frac{2}{9}$

$\frac{2}{3} > \frac{7}{8}$

$\frac{3}{5} > \frac{5}{6}$

$\frac{5}{9} > \frac{3}{4}$

$P$	$Q$
$a$	$8$

Consider the following illustration!

Two marbles will be placed into boxes, with the condition that one box can only hold one marble. The probability that the marbles are stored not adjacent to each other is ....

Given the matrix $\mathbf{P} = \begin{pmatrix} 3 - x & -5 \\ 6 & 3 \end{pmatrix}$ . If the determinant of $\mathbf{P}$ is $33$ , then the value of $x$ is ....

If $A(w \otimes z \oslash x \oplus y) = -w + \frac{z}{y} + 3x$ , then the value of $A(5 \otimes 4 \oslash 3 \oplus 2)$ is ....

Given the following plane figures:

Regular octagon.
Rhombus that is not a square.
Isosceles triangle that is not equilateral.
Kite that is not a square.

How many figures have more rotational symmetries than reflectional symmetries?

Given an integer $n$ , if $n$ divided by $8$ has a remainder of $5$ and if $n$ divided by $5$ has a remainder of $2$ . The possible values of $n$ are:

$29$
$37$
$44$
$77$

If $B_3 = 2$ , $B_5 = -1$ , and $B_n = B_{n+2} + B_{n-1}$ , then the value of $B_2$ is ....

The comparison between the size in the drawing and the actual size is as follows:

\text{drawing size} : \text{actual size} = 3 : 90

If there is a rectangle with an area of $810 \text{ m}^2$ and a width of $18 \text{ m}$ , then the length in the drawing is ....

For $-1 < x < 1$ .

Which of the following relationships is correct between quantities $P$ and $Q$ based on the information provided?

$P$	$Q$
$\frac{1 + x^4}{1 - x^2}$	$1 + x^4$

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