UASA Sample - Set 2 Quiz

Mathematics

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UASA Sample - Set 2

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	Please be advised that the questions and structures available in Pandai for the Ujian Akhir Sesi Akademik (UASA) may not be reflected the format of the actual UASA examination. This information is provided for reference and study purposes only and should not be relied upon as a definitive representation of the UASA examination format.

Time limit: 00:01:00

I understand

Difficulty Level: Easy

UASA Sample - Set 2

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State the pattern for the following set of numbers:

\(19,\space 21,\space 23,\space 25,\space...\)

(A)	Add \(1\) to the previous term

(B)	Add \(2\) to the previous term

(C)	Add \(3\) to the previous term

(D)	Add \(4\) to the previous term

Time limit: 00:01:00

Difficulty Level: Easy

UASA Sample - Set 2

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Which of the following is an algebraic expression?

(A)		\(1+2+3={\dfrac{3\times4}{2}}\)

(B)		\(5^2-4^2=3^2\)

(C)		\(xy+z\)

(D)		\(\pi\)

Time limit: 00:01:00

Difficulty Level: Easy

UASA Sample - Set 2

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If point \(A(5,-6)\) is mapped onto \(A'(-7,-6)\) under a reflection, find the coordinate of object \(B\) that is mapped onto \(B'(-11,9)\) under the same reflection.

(A)		\((-1,9)\)

(B)		\((9,-1)\)

(C)		\((9,9)\)

(D)		\((-6,-11)\)

Time limit: 00:01:00

Difficulty Level: Medium

UASA Sample - Set 2

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The diagram shows a trapezium.

What is the area of the trapezium?

(A)		\(15xy-21y\)

(B)		\(10xy-21y\)

(C)		\(15xy-20y\)

(D)		\(10xy-20y\)

Time limit: 00:01:00

Difficulty Level: Medium

UASA Sample - Set 2

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What is the meaning of a regular polygon?

Time limit: 00:01:00

A polygon with all sides of the different lengths and all interior angles are in the same size
A polygon with all sides of the same length and all interior angles are in the different size
A polygon with all sides of the same length and some interior angles are in the same size
A polygon with all sides of the same length and all interior angles are in the same size

Difficulty Level: Medium

UASA Sample - Set 2

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Name the blue part of the circle.

Time limit: 00:01:00

Sector
Chord
Arc
Circumference

Difficulty Level: Medium

UASA Sample - Set 2

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Which of the following is the geometrical characteristic of a prism?

(A)		One circular base

(B)		One flat base that is polygon-shaped

(C)		Two flat bases that are polygons which are congruent and parallel

(D)		Two flat bases that are polygons which are congruent and perpendicular

Time limit: 00:01:00

Difficulty Level: Medium

UASA Sample - Set 2

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Find the distance between point \(P\) and point \(Q.\)

\(P(0,6),\quad Q(0,9)\)

(A)		\(0\text{ unit}\)

(B)		\(1\text{ unit}\)

(C)		\(15\text{ units}\)

(D)		\(3\text{ units}\)

Time limit: 00:01:00

Difficulty Level: Medium

UASA Sample - Set 2

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Given the function \(f(x)=6x^2-7,\) calculate the value of \(f(x)\) when \(x=-2.\)

(A)		\(-17\)

(B)		\(31\)

(C)		\(24\)

(D)		\(17\)

Time limit: 00:01:00

Difficulty Level: Medium

UASA Sample - Set 2

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A car moves at a speed of \(90\text{ km h}^{-1}.\)

Find the distance, in \(\text{km},\) travelled by the car in \(100\) minutes.

(A)		\(90\text{ km}\)

(B)		\(120\text{ km}\)

(C)		\(150\text{ km}\)

(D)		\(180\text{ km}\)

Time limit: 00:01:00

Difficulty Level: Medium

UASA Sample - Set 2

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Find the gradient of the diagram.

(A)		\(-\dfrac{1}{2}\)

(B)		\(\dfrac{1}{2}\)

(C)		\(2\)

(D)		\(-2\)

Time limit: 00:01:00

Difficulty Level: Hard

UASA Sample - Set 2

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State why the diagram below is not congruent.

Time limit: 00:01:00

The position is different
The colour is different
The shape is different
Both shape are same

Difficulty Level: Medium

UASA Sample - Set 2

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Table shows the temperatures, in \(^\circ \text{C},\) recorded in a particular month.

\(\begin{array}{|c|c|} \hline \textbf{Temperature}&\textbf{Frequency} \\ \hline 1-5& 5 \\ \hline 6-10& 5 \\ \hline 11-15& 4 \\ \hline 16-20& 6 \\ \hline 21-25&4 \\ \hline 26-30&1 \\ \hline \end{array}\)

Calculate the mean.

(A)		\(13.4\)

(B)		\(15.5\)

(C)		\(15.4\)

(D)		\(18.6\)

Time limit: 00:01:00

Difficulty Level: Hard

UASA Sample - Set 2

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Determine the experimental probability of the following event:

Getting tail when a \(50\) cents coin is tossed if heads turned up \(36\) times in \(80\) tosses.

(A)		\(0.76\)

(B)		\(0.55\)

(C)		\(0.65\)

(D)		\(0.15\)

Time limit: 00:01:00

Difficulty Level: Medium

UASA Sample - Set 2

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Determine whether the following order of numbers is a sequence.

\( 6,\space 18,\space 54,\space 162, \dots\)

(A)		Pattern: Multiply \(3\) to previous number \(\Rightarrow\) A sequence

(B)		Pattern: Multiply \(3.5\) to previous number \(\Rightarrow\) A sequence

(C)		Pattern: Multiply \(3\) to previous number \(\Rightarrow\) Not a sequence

(D)		Pattern: Multiply \(3.5\) to previous number \(\Rightarrow\) Not a sequence

Time limit: 00:01:00

Difficulty Level: Easy

UASA Sample - Set 2

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State the factors for the following expression.

\(14b^2+7b\)

(A)		\(14b,\space b+1\)

(B)		\(7b,\space 2b+1\)

(C)		\(2b,\space 7b+1\)

(D)		\(2b,\space 7b+7\)

Time limit: 00:01:00

Difficulty Level: Medium

UASA Sample - Set 2

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Salmah has \(\text{RM} (5x+1),\) Nurin has \(\text{RM} (4x-5)\) and Hayati has \(\text{RM} (2x+3).\)

If the total amount of money is \(\text{RM}252,\) find the value of \(x.\)

(A)		\(22\)

(B)		\(21\)

(C)		\(24\)

(D)		\(23\)

Time limit: 00:01:00

Difficulty Level: Hard

UASA Sample - Set 2

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The following diagam shows a regular octagon.

What is the value of interior angle of the polygon?

(A)		\(30^\circ\)

(B)		\(35^\circ\)

(C)		\(40^\circ \)

(D)		\(135^\circ\)

Time limit: 00:01:00

Difficulty Level: Medium

UASA Sample - Set 2

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State the axis of symmetry of the following circle with center \(C.\)

Time limit: 00:01:00

Difficulty Level: Medium

UASA Sample - Set 2

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Which of the following nets cannot form a prism?

(A)

(B)

(C)

(D)

Time limit: 00:01:00

Difficulty Level: Medium

UASA Sample - Set 2

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Find the values of \(x\) and \(y\) for the given graph.

(A) \(\begin{array}{|c|c|c|c|c|c|} \hline x &0&1&1.5&2.5&4\\ \hline y &-3.5&-4&-5&-1&-2.5\\ \hline \end{array}\)

(B) \(\begin{array}{|c|c|c|c|c|c|} \hline x &0&1&1.5&2.5&4\\ \hline y &-2.5&-4&-5&-1&-2.5\\ \hline \end{array}\)

(D) \(\begin{array}{|c|c|c|c|c|c|} \hline x &0&1&1.5&2.5&4\\ \hline y &-3.5&-4&-5&-2&-2.5\\ \hline \end{array}\)

Time limit: 00:01:00

Difficulty Level: Hard

UASA Sample - Set 2

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Sprinters begin a race at the starting line.

Once the race begins, their speed will increase as they sprint towards the finishing line.

The increase in speed is called \(\underline{\hspace{2cm}}.\)

Time limit: 00:01:00

speed
acceleration
total speed
total acceleration

Difficulty Level: Medium

UASA Sample - Set 2

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State the translation vector of the following object and image.

\(A(–1, 7), A'(9, 2)\)

(A)		\(\dbinom{-10}{-5}\)

(B)		\(\dbinom{10}{-5}\)

(C)		\(\dbinom{8}{9}\)

(D)		\(\dbinom{-8}{9}\)

Time limit: 00:01:00

Difficulty Level: Hard

UASA Sample - Set 2

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A number is chosen at random from set \(S=\{x:1\leq x \leq 25;x \text{ is an integer}\}.\)

Find the probability that the selected number is not an even number.

(A)		\(\dfrac{13}{25}\)

(B)		\(\dfrac{12}{25}\)

(C)		\(\dfrac{1}{2}\)

(D)		\(\dfrac9{25}\)

Time limit: 00:01:00

Difficulty Level: Hard

UASA Sample - Set 2

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Find the distance between point \(P\) and point \(Q.\)

\(P(2,4),\quad Q(7,4)\)

(A)		\(0\text{ unit}\)

(B)		\(5\text{ units}\)

(C)		\(9\text{ units}\)

(D)		\(8\text{ units}\)

Time limit: 00:01:00

Difficulty Level: Medium

UASA Sample - Set 2

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The coordinate of point \(A\) is \((-6,1)\) and the gradient of the straight line \(AB\) is \(-2.\)

Find the possible coordinates of point \(B.\)

(A)		\((-9,-1)\)

(B)		\((-4,-4)\)

(C)		\((-1,-9)\)

(D)		\((-2,-6)\)

Time limit: 00:01:00

Difficulty Level: Hard

UASA Sample - Set 2

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Given median for the set of data \(11,2,3,10,6,9,5,m\) is \(7\), find the value of \(m.\)

(A)		\(1\)

(B)		\(3\)

(C)		\(7\)

(D)		\(8\)

Time limit: 00:01:00

Difficulty Level: Hard

UASA Sample - Set 2

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Simplify \(\dfrac{3x+2y}{4x+5y}+\dfrac{7x-3y}{5x+3y}.\)

(A)		\(\dfrac{35x^2+40xy-10y^2}{25x^2+35xy+20y^2}\)

(B)		\(\dfrac{40x^2+42xy-9y^2}{21x^2+37xy+15y^2}\)

(C)		\(\dfrac{43x^2+42xy-9y^2}{20x^2+37xy+15y^2}\)

(D)		\(\dfrac{38x^2+42xy-10y^2}{25x^2+35xy+20y^2}\)

Time limit: 00:01:00

Difficulty Level: Medium

UASA Sample - Set 2

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Four cars, \(A,B,C\) and \(D\) departed simultaneously from Sungai Buloh to four different towns.

The table shows the average speed and the distance traveled by each car.

Car	Average speed \((\text{km/h})\)	Distance \((\text{km})\)
A	\(65\)	\(80\)
B	\(74\)	\(148\)
C	\(81\)	\(90\)
D	\(95\)	\(100\)

Which car will arrive first at its destination?

Time limit: 00:01:00

Difficulty Level: Medium

UASA Sample - Set 2

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A triangle has equal sides and all interior angles are of the same size.

How many axes of the triangle has?

(A)		\(5\text{ axes of symmetry}\)

(B)		\(6\text{ axes of symmetry}\)

(C)		\(4\text{ axes of symmetry}\)

(D)		\(3\text{ axes of symmetry}\)

Time limit: 00:01:00

Difficulty Level: Easy

UASA Sample - Set 2

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A wire fence is plotted on a Cartesian plane from \(S(23,32)\) to \(T(-17,22).\)

A pillar is built in the middle of the wire fence.

Find the coordinates of the pillar.

(A)		\((13,54)\)

(B)		\((6,27)\)

(C)		\((6,54)\)

(D)		\((3,27)\)

Time limit: 00:01:00

Difficulty Level: Hard

UASA Sample - Set 2

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An employee at a flower shop arranges \(15\) bouquets of flowers according to the number of flower buds in odd counts of \(1\) to \(30\) in ascending order.

A is the event of selling a bouquet of flowers that has the number of flower buds with perfect square value.

Describe the complementary event using words.

(A)		A'= event of choosing a perfect square number

(B)		A'= event of choosing not a perfect square number

(C)		A'= event of choosing power number

(D)		A'= event of choosing not a power number

Time limit: 00:01:00

Difficulty Level: Hard

UASA Sample - Set 2

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State the pattern for the following set of numbers.

\(132,\space396,\space 1188,\space 3564,\space...\)

(A)		Multiply \(2\) to the previous term

(B)		Multiply \(2.5\) to the previous term

(C)		Multiply \(3\) to the previous term

(D)		Multiply \(3.5\) to the previous term

Time limit: 00:01:00

Difficulty Level: Easy

UASA Sample - Set 2

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Given the function \(f(x)=2x^2-3x+4,\) calculate the value of \(f(x)\) when \(x=3.\)

(A)		\(5\)

(B)		\(13\)

(C)		\(31\)

(D)		\(17\)

Time limit: 00:01:00

Difficulty Level: Medium

UASA Sample - Set 2

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Express \(m\) as the subject of formula for

\(\dfrac{\sqrt{m}}{p}+2=n.\)

(A)		\(m=n^2p^2-4np^2+4p^2\)

(B)		\(m=np^2-4n^2p^2+4p^2\)

(C)		\(m=n^2p^2+4np^2-4p^2\)

(D)		\(m=np^2+4n^2p^2-4p^2\)

Time limit: 00:01:00

Difficulty Level: Hard

UASA Sample - Set 2

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Find the gradient of the following coordinates.

\(G(–12, 0) ,H(0, –18).\)

(A)		\(-\dfrac{2}{3}\)

(B)		\(\dfrac{2}{3}\)

(C)		\(-\dfrac{3}{2}\)

(D)		\(\dfrac{3}{2}\)

Time limit: 00:01:00

Difficulty Level: Hard

UASA Sample - Set 2

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The following diagram shows a prism.

The cross-section of the prism is a right-angled triangle.

Calculate its surface area, in \(\text {cm}^2\).


(A)		\(270 \)

(B)		\(360\)

(C)		\(440\)

(D)		\(540\)

Time limit: 00:01:00

Difficulty Level: Hard

UASA Sample - Set 2

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The point \(Y(5,-2)\) is the midpoint of the straight line joining the points \(X(3,6) \) and \(Z(h,k).\)

Find the value of \(h\) and \(k.\)

(A)		\(h=8,\quad k=4\)

(B)		\(h=7,\quad k=-10\)

(C)		\(h=4,\quad k=2\)

(D)		\(h=-4,\quad k=2\)

Time limit: 00:01:00

Difficulty Level: Medium

UASA Sample - Set 2

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Determine the median for each of the following sets of data.

\(95,84,36,14,58,69,42,80,10.\)

(A)		\(10\)

(B)		\(42\)

(C)		\(36\)

(D)		\(58\)

Time limit: 00:01:00

Difficulty Level: Medium

UASA Sample - Set 2

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In a game, Mei Ling tosses \(3\) coins.

If Mei Ling obtains at least \(2\) tails, she wins the game.

Find the probability of Mei Ling wins the game.

(A)		\(\dfrac{2}{3}\)

(B)		\(\dfrac{1}{2}\)

(C)		\(\dfrac{3}{4}\)

(D)		\(\dfrac{4}{5}\)

Time limit: 00:01:00

Difficulty Level: Hard

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