SASMO - KOMUNITAS JELAJAH NALAR

SASMO 2024 - Junior College 1 & 2

Admin dot — Wed, 20 May 2026 02:32:40 +0000

For any real number $x$, $$ is the greatest integer not exceeding $x$. For example, $ = 5$ and $ = 13$. Solve the equation below and find the value of $m$.$$ \times m = 70$$
A. 8.25
B. 8.45
C. 8.65
D. 8.75
E. None of the above
Find the last digit of the final result.$$(2024^{2024})^2 + 2024$$
A. 0
B. 2
C. 4
D. 6
E. None of the above
How many numbers appear in both sequences below?$$13, 21, 29, 37, \dots , 773$$ $$13, 18, 23, 28, \dots , 773$$
A. 19
B. 20
C. 21
D. 39
E. None of the above
What is the next number in the sequence below?$$1, 3, 24, 82, 201, 411, \dots$$
A. 784
B. 754
C. 749
D. 748
E. None of the above
The shaded figure below is formed by three identical circles touching one another as shown. If the perimeter of the figure is $120\pi$ in cm, what is the length (in cm) of the radius of one circle?

A. 10
B. 24
C. 48
D. 120
E. None of the above
Given that $|a| + b - a = 200$ and $|b| + b + a = 200$, what is the value of $a + b$?
A. –40
B. 40
C. 80
D. 120
E. None of the above
The six-digit number $A0352B$ is a multiple of 2024. What is the value of $A+B$?
A. 16
B. 12
C. 18
D. 17
E. None of the above
How many integers $a$ satisfy the inequality below? $$(a+12)(a-13)(a+9)(a-8)<0$$
A. 4
B. 5
C. 6
D. 7
E. None of the above
What is the distance from the point $(27, −3)$ to the line $6x − 8y + 4 = 0$?
A. 14
B. 17
C. 18
D. 19
E. None of the above
Find the sum of the digits of $A$. $$ A=\underset{1000\text{ 3}}{\underbrace{333\cdots3}}\times \underset{1000\text{ 6}}{\underbrace{666\cdots6}}$$
A. 9990
B. 9000
C. 8100
D. 7200
E. None of the above
If points $A(-12, -7)$, $B(-6, 8)$ and $C(9, y)$ form a right-angled triangle with $\angle ABC = 90^\circ$, find the value of $y$.
A. –2
B. 2
C. 3
D. 4
E. None of the above
What are the last two digits of $11^{2024}$?
A. 41
B. 51
C. 31
D. 61
E. None of the above
What is the remainder when $(x^{20} + 24)$ is divided by $x + 1$?
A. 25
B. 24
C. 26
D. 2024
E. None of the above
What is the largest integer $a$ such that the expression below is an integer?$$\frac{a^2 - 8a + 15}{a+7}$$
A. 120
B. 113
C. 60
D. 53
E. None of the above
In the diagram below, $AC = 24\text{ cm}$, $AB = 48\text{ cm}$ and $\angle CAB = 120^\circ$. Point $D$ is the midpoint of side $AB$, and $DE$ is perpendicular to $AB$. If $DE = 32\text{ cm}$, find the length (in cm) of $CE$.

A. 72 cm
B. 66 cm
C. 60 cm
D. 20 cm
E. None of the above
Sophia owns a collection of vintage stamps, each with a unique value. She decides to distribute her stamps among her three friends. Sophia gives the 34 most valuable stamps, which collectively account for 49% of the total value, to Jack. She then presents the 19 least valuable stamps, which make up 30% of the total value, to Emily. Finally, she allocates the remaining stamps to Olivia. How many stamps did Olivia receive?
In a theatre production, 2 directors are collaborating with 6 actors. The entire team decides to divide into 2 groups under the guidance of one director each, ensuring that each director is paired with at least one actor. How many distinct group configurations are possible?
Solve the equation below and find the value of $x^2$.$$2\log_{54} (x - 3) = 1 - \log_{54} (x + 6)$$
Tom arranges integers from 1 to 16 within the circles illustrated below. He proceeds to write numbers on line segments, where each number represents the sum of the integers in two circles connected by a line segment. If $A$ is the greatest value of the smallest number on the line segments, what is the value of $3A$?
In quadrilateral $ABCD$ below, $\angle BAD = 105^\circ$, $\angle ADC = 165^\circ$, $AD$ is parallel to $BC$, and points $E$ and $F$ are the midpoints of sides $AD$ and $BC$, respectively. If $AD = 84$ and $BC = 210$, what is the length of $EF$?
In a deck of cards, there are 3 spades and 9 hearts. Ethan draws cards one by one from the deck without replacement until he empties the deck. It is revealed that the second card he draws is a spade, and the fifth card he draws is a heart. Let the probability that the last three cards Ethan draws are all hearts be $\frac{a}{b}$ where $\text{HCF}(a, b) = 1$. What is the value of $a + b$?
Sarah had 7 quizzes this semester. She received integer scores for each quiz. The lowest score she got was 73, and the highest score was 82. If the mode, median, and average of her scores form an arithmetic sequence with a common difference of 2, find the largest possible value of the sum of her scores.
In the figure below, point $B$ is on a quarter $ADE$ of a circle and point $C$ is on radius $DE$ such that $\angle ABC = 90^\circ$, $AB = 24$ and $CE = 7$. Find the length of $CD$.
On a mystical island, inhabitants are divided into two tribes: the Harmonious Tribe, whose members always speak the truth, and the Discordant Tribe, whose members always lie. A circular formation is deemed harmonious if each individual can say that one of their neighbours represents their own tribe. One day, a gathering of 2024 islanders successfully formed a harmonious circle. Subsequently, 2 members of the Discordant Tribe joined them and declared, "Now we can form a harmonious circle." How many members of the Discordant Tribe were there in the original formation of 2024 people?
Solve the equation below for $(x, y) \in \left(0, \frac{\pi}{2}\right)$ and find the value of $\frac{2024(x+2y)}{\pi}$.$$\left\{ \begin{array}{cl}
\dfrac{\cos x}{\cos y} = 2 \cos^2 y \\
\dfrac{\sin x}{\sin y} = 2 \sin^2 y
\end{array} \right.$$

SASMO 2024 - Secondary 4

Admin dot — Wed, 20 May 2026 01:48:16 +0000

What is one-third of $9^{2024}$?
A. $3^{2024}$
B. $3^{2023}$
C. $3^{4047}$
D. $3^{4048}$
E. None of the above
Emily wants to construct a rectangular cuboid with dimensions of $192 \times 216 \times 240\text{ cm}$ using identical cubes. What is the least number of cubes she can use?
A. 360
B. 720
C. 810
D. 900
E. None of the above
The value of $\sqrt{125} + \sqrt{150}$ is between two consecutive positive integers. Which of the following are the values of these 2 integers?
A. 23 and 24
B. 22 and 23
C. 24 and 25
D. 26 and 27
E. None of the above
Solve the equation below and find the value of $x + y$. $$(2y^2 - 9y + 8x)^6 + \sqrt{x^3 + 343} = 0$$
A. 1
B. –7
C. 8
D. 15
E. None of the above
What is the remainder when $2024^{2024}$ is divided by 9?
A. 0
B. 1
C. 4
D. 7
E. None of the above
If points $A(-14, -4)$, $B(-8, 5)$, and $C(x, -7)$ form a right-angled triangle with $\angle ABC = 90^\circ$, find the value of $x$.
A. –10
B. 9
C. 10
D. 11
E. None of the above
What is the value of following? $$1^2 - 2^2 + 3^2 - 4^2 + \dots + 29^2 - 30^2 + 31^2$$
A. 465
B. 469
C. 496
D. 961
E. None of the above
Given that $8x^2 + 24xy + 18y^2 = 5000$ and $x + 2y = 31$, find the positive value of $x + y$.
A. 20
B. 19
C. 12
D. 7
E. None of the above
In right-angled triangle $ABC$, points $D$ and $E$ are the midpoints of sides $AB$ and $BC$, respectively. If the area of quadrilateral $BEFD$ is $36\text{ cm}^2$, find the area (in $\text{cm}^2$) of triangle $ABC$.

A. $72\text{ cm}^2$
B. $108\text{ cm}^2$
C. $216\text{ cm}^2$
D. $432\text{ cm}^2$
E. None of the above
Given that positive integers $a$ and $b$ satisfy the equation below, what is the smallest possible value of $a + b$?$$2024^2 + a^2 = 2023^2 + b^2$$
A. 70
B. 213
C. 1349
D. 4047
E. None of the above
Let $a$ be a positive integer such that the sequence below is an arithmetic progression. How many terms are there in the sequence?$$8, 17, 26, \dots , a + 9$$
A. $\frac{a + 9}{9}$
B. $\frac{a + 1}{9}$
C. $\frac{a + 9}{9}$
D. $\frac{a + 10}{9}$
E. None of the above
The standard 6-sided dice is arranged so that the numbers 1 through 6 on one side are paired with a number on the opposite side such that the sum of the numbers on opposite faces is always 7. If six standard dice are stacked on the floor as shown, what is the largest possible sum of numbers on the 21 visible faces?

A. 58
B. 68
C. 89
D. 126
E. None of the above
In right-angled triangle $ABC$ below, $AD$ is the height and $CE$ is the bisector of $\angle BCA$. Lines $AD$ and $CE$ intersect at point $F$. If $CF = FE$, what is the measurement (in degrees) of $\angle ABC$?

A. $15^\circ$
B. $30^\circ$
C. $45^\circ$
D. $60^\circ$
E. None of the above
Find the prime number $p$ such that $16p + 1$ is a perfect cube.
A. 281
B. 283
C. 293
D. 307
E. None of the above
Ella owns a collection of antique coins, each with a distinct weight. She decides to distribute her coins among her three friends. Ella gives the 33 lightest coins, which collectively weigh 53% of the total weight, to Liam. She then presents the 16 heaviest coins, which account for 28% of the total weight, to Mia. Finally, she allocates the remaining coins to Layla. How many coins did Layla receive?
A. 36
B. 32
C. 12
D. 11
E. None of the above
In the numerical representation of dates, January 23, 2024, is expressed as 20240123, and September 2, 2024, is denoted as 20240902. How many occurrences of the digit "2" exist in all 8-digit numbers reprensenting dates in the year 2024?
How many positive factors of 180000 are not perfect squares?
In Mathematics, it is given that $n!=n\times (n-1)\times \cdots \times 2\times 1$. For example, $5!=5\times 4\times 3\times 2\times 1=120$. How many consecutive zeros are there at the end $(2026!-2025!)$?
In the list below, how many fractions are not in their simplest form? $$\frac{1}{2024}, \frac{2}{2024}, \frac{3}{2024}, \cdots \frac{2023}{2024},$$
What is the remainder when $193^{123}$ is divided by 100?
Emily's locker combination is a 4-digit number with the following properties:
-The number is greater than 3000.
-The hundreds digit is one less than the tens digit.
-The number is an even number that is divisible by 9.
How many unique locker combinations can Emily set for her locker?
Tom arranges integers from 1 to 16 within the circles illustrated below. He proceeds to write numbers on line segments, where each number represents the sum of the integers in two circles connected by a line segment. What is the greatest value of the smallest number on the line segments?
In quadrilateral $ABCD$ below, $\angle BAD = 105^\circ$, $\angle ADC = 165^\circ$, $AD$ is parallel to $BC$, and points $E$ and $F$ are the midpoints of sides $AD$ and $BC$, respectively. If $AD = 56$ and $BC = 140$, what is the length of $EF$?
On a mystical island, inhabitants are divided into two tribes: the Harmonious Tribe, whose members always speak the truth, and the Discordant Tribe, whose members always lie. A circular formation is deemed harmonious if each individual can say that one of their neighbours represents their own tribe. One day, a gathering of 2024 islanders successfully formed a harmonious circle. Subsequently, 2 members of the Discordant Tribe joined them and declared, "Now we can form a harmonious circle." How many members of the Harmonious Tribe were there in the original formation of 2024 people?
Solve the equation below for $(x,y) \in \left(0, \frac{\pi}{2}\right)$ and find the value of $\frac{12(x+2y)}{\pi}$.$$\left\{ \begin{array}{cl}
\dfrac{\cos x}{\cos y} = 2 \cos^2 y \\
\dfrac{\sin x}{\sin y} = 2 \sin^2 y
\end{array} \right.$$

SASMO 2024 - Secondary 3

Admin dot — Mon, 18 May 2026 06:11:44 +0000

Find the value of the following. $$\frac{2024^4-2023^4}{2024^2+2023^2}$$
A. 4046
B. 4047
C. 2024
D. 2023
E. None of the above
Which of the following fractions is the largest?
A. $\frac{12}{13}$
B. $\frac{123}{124}$
C. $\frac{1234}{1235}$
D. $\frac{12345}{12346}$
E. $\frac{123456}{123457}$
If the length of each side of a cube is decreased by 20%, then the volume of the cube will decrease by what percentage?
A. 51%
B. 51.2%
C. 48%
D. 48.8%
E. None of the above
Find the value of the expression below. $$\frac{4^{16} \times \left(1 + \frac{1}{4} + \frac{1}{16 \times 64} + \frac{1}{256 \times 1024 \times 4096}\right) - 4}{4^{11} \times 21}$$
A. 1
B. 16
C. 21
D. 61
E. None of the above
Solve the equation below and find the integer value of $a+b$. $$\sqrt{a^3+125}+(2b^2-3b+7a)^4=0$$
A. 0
B. 5
C. 10
D. -5
E. None of the above
A positive integer A has exactly 6 positive factors with 7 and 11 being among them. What is the smallest possible value of A?
A. 77
B. 539
C. 847
D. 3773
E. None of the above
A group of 10 wizards and witches sat in a circle. Wizards always speak the truth while witches always lie. Each person pointed at the person on their left and declared whether this person was a witch. If everyone pointed and declared 'witch', how many wizards are there?
A. 5
B. 4
C. 10
D. 6
E. None of the above
What is the next number in the sequence below? $$1,4,26,85,205,416,...$$
A. 759
B. 754
C. 705
D. 927
E. None of the above
How many factors of 180000 are perfect squares?
A. 6
B. 9
C. 18
D. 36
E. None of the above
Let $k,l,m$ and $n$ be 4 positive integers such that $\frac{k}{l}\le \frac{m}{n}\le 1$. Which of the following inequalities is always true?
A. $\frac{k+m}{l+n}>1$
B. $\frac{k+m}{l+n}\ge \frac{k+l}{m+n}$
C. $\frac{k+m}{l+n}<\frac{k}{l}$
D. $\frac{k+m}{l+n}\le \frac{m}{n}$
E. None of the above
Given that $x,y$ and $z$ are distinct numbers such that $(x-y)^2=4(x-z)(z-y)$, find the value of $\frac{x+y}{z}$.
A. 0
B. 1
C. 2
D. 4
E. None of the above
In right-angled triangle $ABC$, points $D$ and $E$ are the midpoints of sides $AB$ and $BC$, respectively. If the area of triangle $CFE$ is 24 $\text{cm}^2$, find the area (in $\text{cm}^2$) of quadrilateral $BEFD$.

A. 24 $\text{cm}^2$
B. 36 $\text{cm}^2$
C. 48 $\text{cm}^2$
D. 60 $\text{cm}^2$
E. None of the above
Given that $3a^2+18ab+27b^2=2700,$ $a=5+2b$ and $a>0$, find the value of $ab$.
A. 5
B. 15
C. 75
D. 125
E. None of the above
The standard 6-sided dice is arranged with the numbers 1 through 6 such that the sum of the numbers on opposite faces is always 7. If six standard dice are stacked on the floor as shown, what is the largest possible sum of numbers on the 21 visible faces?

A. 88
B. 89
C. 90
D. 93
E. None of the above
How many 7-digit positive multiples of 9 can written using only digits 3 and 6?
A. 21
B. 42
C. 63
D. 84
E. None of the above
Tom constructed a large cube using 125 small cubes. He then painted the top, front, and right faces in red, while the remaining faces were painted in yellow. How many of the smaller cubes possess at least one red face and one yellow face?
In Mathematics, it is given that $n!=n\times (n-1)\times ... \times 2\times 1$. For example, $5!=5\times 4\times 3\times 2\times 1=120$. How many consecutive zeros are there at the end of $2024!$?
The sum of some consecutive possible integers is 2024. Find the largest of these integers.
Emily's locker combination is a 4-digit number with the following properties:
-The number is greater than 5000.
-The hundreds digit is one less than the tens digit.
-The number is an even number that is divisible by 9.
How many unique locker combinations can Emily set for her locker?
A string of numbers is generated by writing integers from 1 to 60 in a continuous sequence: $$123456...5660$$ Samantha decides to remove every 10th digit from the string to create a revised number: $$12345689011121314516...$$ What is the sum of the digits in the new number?
In square $ABCD$ below, points $E$ and $F$ are the midpoints of sides $AD$ and $AB$, respectively. Line $EB$ intersects lines $DF$ and $FC$ at points $G$ and $H$, respectively. If $HB=120$ cm, what is the length (in cm) of $GH$?
Five friends, Alice, Bob, Carol, David and Eve, visited different attractions, Star Peak, Crystal Cove, Emerald Falls, Thunder Ridge and Mystic Valley, not necessarily in the same order. They each paid different amounts for their entry tickets, $\$20, \$40, \$60, \$80$ and $\$100$. Here are some clues:
-Alice paid $\$40$ for her entry ticket.
-The cost of admission to Emerald Falls was $\$40$ less than to Thunder Ridge.
-Carol paid $\$40$ more than David did for their entry tickets.
-The five different attractions visited are: Crystal Cove, the attraction where the entry ticket cost was $\$40$, the attraction where the entry ticket cost was $\$100$, the attraction with a $\$20$ entry ticket, and the attraction Carol visited.
-Eve visited Star Peak.
How much (in $\$$) was the entry ticket to Emerald Falls?
Lily and Jake started jogging on a circular track with a circumference of 308 metres from the same starting point at the same time. Lily jogs for the first 120 metres with a speed of $6\text{ m/s}$, then continues for the next 200 metres with a speed of $4\text{ m/s}$, repeating this pattern. Jake jogs with a constant speed of $5\text{ m/s}$ but in the opposite direction. How many metres has Lily jogged from the same starting point by the time they meet for the fourth time? Round your answer to the nearest integer.
Given that $x + \frac{1}{x-3} - 5 = y + \frac{1}{y+2}$ and $x - y \neq 5$, find the value of $2xy + 4x - 6y$.
In the following cryptarithm, all the different letters stand for different digits. If $S=8$, what is the value of the sum S+O+L+V+E?

SASMO 2024 - Secondary 2

Admin dot — Mon, 18 May 2026 03:48:15 +0000

Find the value of the following. $$2357\times 382+357\times 618$$
A. 1121000
B. 1211000
C. 121000
D. 112100
E. None of the above
Given that $A$ and $B$ are two negative integers such that $A+B=-4048$, what is the greatest value of $A-B$?
A. 4048
B. 4047
C. 4046
D. 4045
E. None of the above
Which option is the correct mirror of the figure below?
How many triangles are there in the figure below?

A. 32
B. 36
C. 38
D. 42
E. None of the above
Find the value of $x+y$ in the equation below given that $x$ and $y$ are positive integers and $HCF(x,y)=1$. $$\frac{2023^3+2\times 2023^2 - 2025}{2024^3 -2\times 2024^2 - 2022}=\frac{x}{y}$$
A. 1
B. 2024
C. 4047
D. 4048
E. None of the above
Given that $a>7$, simplify the expression below. $$|2-\sqrt{(5-a)^2}|$$
A. $-a-3$
B. $a+3$
C. $7-a$
D. $a-7$
E. None of the above
Find the smallest positive integer $n$ for which $760n$ is a multiple of $15200$.
A. 40
B. 30
C. 25
D. 20
E. None of the above
The four-digit number X64Y is the largest possible multiple of 36. Find the value of X+Y.
A. 15
B. 16
C. 17
D. 18
E. None of the above
The graph below shows the daily attendance at a gym for the past week. On average, the number of people present during the first 4 days was 43% of the average number during the last 3 days. How many people were at the gym last Thursday?

A. 100
B. 98
C. 96
D. 94
E. None of the above
How many positive four-digit integers are not divisible by 11 such that each number contains each of the digits 6, 7, 8 and 9.
A. 16
B. 14
C. 12
D. 8
E. None of the above
The shaded figure below is formed by three identical circles touching one another as shown. If the perimeter of the figure is $60\pi$ in cm, what is the length (in cm) of the radius of one circle?

A. 60 cm
B. 24 cm
C. 12 cm
D. 5 cm
E. None of the above
In a neighbourhood of 88 people, each resident is engaged in at least one of the following activities: Gardening, Cooking and Painting. The following details are provided:
-Everyone in the Cooking club is also part of the Gardening club.
-30 people actively participate in all three clubs.
-24 people are exclusively in the Painting club.
-10 people are exclusively in the Gardening club.
-48 people are members of the Cooking club.
How many people are members of both the Painting and Gardening clubs but are not members of the Cooking club?
A. 4
B. 6
C. 8
D. 10
E. None of the above
Given that $|a|+b-a=100$ and $|b|+b+a=100$, what is the value of $a+b$?
A. -20
B. 40
C. 60
D. 80
E. None of the above
In the list below, how many fractions are in its simplest form? $$\frac{1}{2024},\frac{2}{2024},\frac{3}{2024},...,\frac{2023}{2024},$$
A. 1143
B. 881
C. 882
D. 880
E. None of the above
In quadrilateral $ABCD$ below, $AB=20$ cm, $BC=13$ cm and $DA=34$ cm. If the diagonals of the quadrilateral are perpendicular to each other, find the length (in cm) of side $CD$.

A. 30
B. 5$\sqrt{35}$
C. 5$\sqrt{37}$
D. 6$\sqrt{37}$
E. None of the above
In Mathematics, it is given that $n!=n\times (n-1)\times ...\times 2\times 1$. For example, $5!=5\times 4\times 3\times 2\times 1=120$. What is the remainder when $1!+2!+...+2023!+2024!$ is divided by $252$?
The operator $\bigotimes$ acts on two numbers to give the following outcomes: $$3\bigotimes 2=61$$ $$6\bigotimes 8=124$$ $$2\bigotimes 5=99$$ $$4\bigotimes 9=1325$$ What is the value of $16\bigotimes 2016\bigotimes 20$?
What is the remainder when $193^{2024}$ is divided by 100?
A palindrome is a number that remains the same when digits are reversed. For example, 121 and 3443 are palindromes, but 1451 is not a palindrome. How many 6-digit palindromes are divisible by 132?
How many 2-digit prime numbers can be expressed as the difference between two perfect square numbers?
In square $ABCD$ below, points $E$ and $F$ are the midpoints of sides $AD$ and $AB$, respectively. Line $EB$ intersects lines $DF$ and $FC$ at points $G$ and $H$, respectively. If $HB=60$ cm, what is the length (in cm) of $GH$?
Lily and Jake started jogging on a circular track with a circumference of 299 metres from the same starting point at the same time. Lily jogs for the first 120 metres with a speed of 6 m/s, then continues for the next 200 metres with a speed of 4 m/s, repeating this pattern. Jake jogs with a constant speed of 5 m/s but in the opposite direction. How many metres has Lily jogged from the same starting point by the time they meet for the fourth time? Round your answer to the nearest integer.
Five friends, Alive, Bob, Carol, David and Eve, visited different attractions, Star Peak, Crystal Cove, Emerald Falls, Thunder Ridge and Mystic Valley, not necessarily in the same order. They each paid different amounts for their entry tickets, $\$20,\$40,\$60,\$80$ and $\$100$. Here are some clues:
-Alive paid $\$40$ for her entry ticket.
-The cost of admission to Emerald Falls was $\$40$ less than to Thunder Ridge.
-The five different attractions visited are: Crystal Cove, the attraction where the entry ticket cost was $\$40$, the attraction where the entry ticket cost was $\$100$, the attraction with a $\$20$ entry ticket, and the attraction Carol visited.
-Eve visited Star Peak.
How much (in $\$$) did Eve pay for her entry ticket?
The figure below consists of 3 quarters of a circle and one square. The side length of the square is 42 cm, and the area of the shaded region is $(a-b\sqrt{3})\text{ cm}^2$ where $a$ and $b$ are positive integers. Find the value of $a-b$. (Use $\pi=\frac{22}{7}$)
In the following cryptarithm, all the different letters stand for different digits. If $S=7$, what is the value of the sum S+A+S+M+O?

SASMO 2024 - Secondary 1

Admin dot — Fri, 15 May 2026 02:58:38 +0000

Find the value of the following. $$1469\times 291+469\times 709$$
A. 760000
B. 706000
C. 76000
D. 70000
E. None of the above
Given that $X$ dan $Y$ are two negative integers such that $X+Y=-2024$, what is the greatest value $X-Y$?
A. 2024
B. 2023
C. 2022
D. 2020
E. None of the above
Which option is the correct mirror of the figure below?
Find the last digit of the final result. $$(2024^{2024})^2$$
A. 2
B. 4
C. 6
D. 8
E. None of the above
How many triangles are there in the figure below?

A. 32
B. 36
C. 38
D. 34
E. None of the above
The graph below illustrates the daily sales figures for a bakery over the course of last week. The average number of croissants sold in the first 4 days was 43% of the average number sold in the kast 3 days. How many croissants did the bakery sell last Thursday?

A. 38
B. 32
C. 30
D. 26
E. None of the above
Find the smallest positive integer $k$ for which $380k$ is a multiple of 7600.
A. 10
B. 25
C. 30
D. 40
E. None of the above
The four-digit number A28B is the largest possible multiple of 36. Find the value of $A+B$.
A. 18
B. 17
C. 16
D. 15
E. None of the above
A palindrome is a number that remains the same when digits are reserved. For example, 121 and 3443 are palindromes, but 1451 is not a palindrome. How many 5-digit palindromes are divisible by 4?
A. 240
B. 220
C. 200
D. 20
E. None of the above
In a community of 44 people, each person is involved in at least one of the activities: Photography, Chess, and Coding. The following information is given.
-All those in the Chess club are also part of the Photography club.
-15 people actively participate in all three clubs.
-12 people are exclusively in the Coding club.
-5 people are exclusively in the Photography club.
-24 people are members of the Chess club.
How many people are members of both the Coding and Photography clubs but are not members of the Chess club?
A. 5
B. 4
C. 3
D. 2
E. None of the above
How many positive four-digir multiples of 11 are there such that each of them contains each of the digits 6, 7, 8 and 9?
A. 2
B. 4
C. 8
D. 16
E. None of the above
What is the average of all 4-digit perfect squares that are divisible by 9 and 7?
A. 2866.5
B. 5512
C. 4263
D. 12789
E. None of the above
In Mathematics, it is given that $n!=n\times (n-1)\times ...\times 2\times 1$. For example, $5!=5\times 4\times 3\times 2\times 1=120$. What is the remainder when $1!+2!+...+2023!+2024!$ is divided by $72$?
A. 81
B. 7
C. 8
D. 9
E. None of the above
In square $ABCD$ below, $E$ is the midpoint of $AB$, $F$ is the midpoint of $DE$, and $G$ is the midpoint of $CF$. If $AB=28$ cm, what is the area (in $\text{cm}^2$) of quadrilateral $BEFG$?

A. 245 $\text{cm}^2$
B. 196 $\text{cm}^2$
C. 147 $\text{cm}^2$
D. 49 $\text{cm}^2$
E. None of the above
The operator $\bigotimes$ acts on two numbers to give the following outcomes: $$3\bigotimes 2=61$$ $$6\bigotimes 8=124$$ $$2\bigotimes 5=99$$ $$4\bigotimes 9=1325$$ What is the value of $20\bigotimes 24$?
A. 286
B. 2616
C. 2618
D. 2816
E. None of the above
Let $\frac{A}{B}$ be the next fraction in the sequence below. If $\frac{A}{B}$ is a fraction in its simplest form, find the value of $A-B$. $$\frac{1}{3},\frac{1}{3},\frac{5}{9},\frac{1}{1},\frac{9}{5},\frac{29}{9},...$$
Sarah has written down three positive integers on a piece of paper, and the product of these numbers is 1584. The largest number is four times the smallest number. What is the largest number that Sarah has written?
Sarah sailed her yacht downstream from Harbor $X$ to Harbor $Y$ and then returned upstream from Harbor $Y$ to Harbor $X$. With a current speed of 15 km/h and a consistent yacht speed, the entire journey took 78 hours. If the total distance covered by the yacht was 1296 km, what was the speed (in km/h) of the yacht?
How many integers from 1 to 2024 contain the digit '1'?
In the diagram below, $AC=12$ cm, $AB=24$ cm and $\angle CAB=120^o$. Point $D$ is the midpoint of side $AB$, and $DE$ is perpendicular to $AB$. If $DE=16$ cm, find the length (in cm) of $CE$.
Given that $a^2+9a-13=0$, find the value of $\sqrt{(a+3)(a+4)(a+5)(a+6)+66}$.
Calculate: $$\sqrt{\frac{26}{11-3\sqrt{13}}}+\sqrt{\frac{26}{11+3\sqrt{13}}}$$
In a science fair project, 2 researchers are collaborating with 6 volunteers. The entire team decides to split into 2 groups under the leadership of one researcher each, ensuring that each researcher is paired with at least one volunteer. How many distinct group configurations are possible?
The figure below consist of 3 quarters of a circle and one square. The side length of the square is 42 cm, and the area of the shaded region is $(a-b\sqrt{3})\text{ cm}^2$ where $a$ and $b$ are positive integers, Find the value of $a+b$. (Use $\pi=\frac{22}{7}$)
In the following cryptarithm, all the different letters stand for different digits. If $S=8$, what is the value of the sum S+A+S+M+O?

SASMO 2024 - Primary 6

Admin dot — Fri, 15 May 2026 01:46:15 +0000

Find the sum of all digits of the following product. $$7245 \times 3333$$
A. 25
B. 35
C. 36
D. 37
E. None of the above
Eighteen days before the day after tomorrow was Wednesday. Which day of the week was yesterday?
A. Thursday
B. Friday
C. Saturday
D. Sunday
E. None of the above
The difference between two whole numbers is 2024. The quotient of these two numbers is 12. Find the sum of the two numbers.
A. 184
B. 2024
C. 2208
D. 2392
E. None of the above
How many 3-digit number multiples of 14 and 21 are there?
A. 22
B. 21
C. 20
D. 3
E. None of the above
What is the next number in the sequence below? $$2, 3, 7, 16, 32, 57, …$$
A. 75
B. 82
C. 93
D. 106
E. None of the above
A prime number is a whole number that has exactly 2 factors: 1 and itself. For example, 2 and 11 are prime numbers, and 1 and 4 are not prime numbers. How many three-digit multiples of 3 have all of their digits as prime numbers?
A. 10
B. 12
C. 16
D. 22
E. None of the above
Whole numbers from 1 to 2024 are divided by 7. There is a remainder in each division. What is the sum of all these remainders?
A. 6070
B. 6069
C. 42484
D. 2024
E. None of the above
How many numbers are there in the list below? $$27, 40, 53, 66, ..., 456$$
A. 34
B. 33
C. 32
D. 31
E. None of the above
Find the area (in $cm^2$) of the shaded region given that each square in the grid below has a side length of 4 cm.

A. $1904\text{ cm}^2$
B. $1008\text{ cm}^2$
C. $119\text{ cm}^2$
D. $63\text{ cm}^2$
E. None of the above
Sarah has 4 different coloured marbles: red, blue, green and yellow. In how many ways can she arrange these marbles in a row such that the yellow and red marbles are not placed next to each other?
A. 24
B. 18
C. 12
D. 6
E. None of the above
A basket starts with a weight of 8 kg when empty. When it is 25% empty, it has 171 apples more than when it is 18% full. Given that each apple weighs 400 grams, what is the total weight (in kg) of the basket when it is filled with apples?
A. 120 kg
B. 128 kg
C. 300 kg
D. 308 kg
E. None of the above
For whole numbers $A, B, C$ and $D$ it is given that $$\frac{49}{38} = A + \frac{1}{B + \frac{1}{C + \frac{1}{D}}}$$ What is the value of $A+B+C+D$?
A. 11
B. 10
C. 9
D. 6
E. None of the above
In a university club, the ratio of science majors to art majors is 13:27. Among the club members, 45% are interested in photography, while the others are not. Twenty-three art majors are interested in photography, and 8 science majors are not interested in photography. How many art majors are not interested in photography?
A. 4
B. 31
C. 58
D. 81
E. None of the above
Working together, a group of 12 workers can complete 30 tasks in 15 minutes. At the same pace, how many workers are required to accomplish 45 tasks in 7.5 minutes?
A. 6
B. 18
C. 36
D. 45
E. None of the above
Which option is the correct rotation of the figure below?
How many triangles are there in the figure below?
What is the smallest 3-digit multiple of 4 whose digits sum up to 20?
What is the missing number in the pattern below?
In 24 hours, the distance travelled by the tip of the minute hand of a clock is 36 times the distance covered by the hour hand of the same clock. If the length of the hour hand on this clock is 23 cm, what is the length (in cm) of the minute hand?
During a coffe break, Emily and Frank engage in a conversation.
Emily: I have three plants. If we multiply their pot numbers, we get 144, and the sum of their pot numbers is the floor number we are currently on.
Frank: I know the floor number, but I'm still unsure about their pot numbers.
Emily: My mistake, I forgot to mention that all the pot numbers are different and my plant with the smallest number has an even number on it.
Frank: Ah, now I know their pot numbers.
What is the difference between the largest and smallest pot numbers?
How many whole numbers from 1 to 2024 contain the digit '2'?
The number of digits used to number the pages of a book is 2.5 times the number of pages of the book. How many pages are there in the book?
Find the value of the following. $$2024 \times \left( \frac{1}{132} + \frac{1}{156} + \frac{1}{182} + \dots + \frac{1}{2070} \right)$$
In the following cryptarithm, all the different letters stand for different digits. What is the value of the sum S+A+S+M+O?
Study the pattern below. What is the value of the missing number?

SASMO 2024 - Primary 5

Admin dot — Thu, 14 May 2026 07:22:20 +0000

Find the value of the following: $$4\times 36+36\times 60+36\times 24+24\times 24$$
A. 3474
B. 3600
C. 3744
D. 3844
E. None of the above
What is the missing figure in the pattern below?
What is the value of A so that the 4-digit number 65AA is divisible by 12?
A. 8
B. 6
C. 4
D. 2
E. None of the above
Emma allocated 45% of her study materials for research project. Later, she used $\frac{3}{11}$ of the remaining materials for a presentation. What percentage of her initial set of study materials is still available for other academic tasks?
A. 45%
B. 40%
C. 30%
D. 15%
E. None of the above
In a community gathering, when people are organized into groups of five, there are 3 people left. When organized into groups of fourteen, there are 3 left. There are 40 men in the gathering, and the number of women is fewer than men. How many people are there in the community gathering?
Sophie, Mary and Lucas share 150 candies. Sophie receives $\frac{1}{6}$ as many candies as Lucas. If Mary gives 30 candies to Sophie, Sophie will have $\frac{2}{3}$ as many candies as Lucas. How many candies does Mary have initially?
A. 10
B. 40
C. 60
D. 80
E. None of the above
How many two-digit numbers are there such that the sum of 15 and the 2-digit number is divisible by 8?
A. 10
B. 11
C. 12
D. 90
E. None of the above
What is the smallest number which is divisible by 8 and 9 and has two odd digits?
A. 136
B. 312
C. 512
D. 792
E. None of the above
Find the area (in $\text{cm}^2$) of the shaded region given that each square in the grid below has a side length of 3 cm.

A. 63 $\text{cm}^2$
B. 199 $\text{cm}^2$
C. 567 $\text{cm}^2$
D. 1071 $\text{cm}^2$
E. None of the above
Mrs. Lim distributed cookies to her grandchildren. She gave $\frac{1}{5}$ of the cookies to John, and then $\frac{1}{3}$ of the remaining cookies to Emily. Thereafter, she gave $\frac{1}{4}$ of the rest to Noah, and the leftover cookies to Stacy. If Stacy received 36 more cookies than John, how many cookies did Emily receive?
A. 24
B. 36
C. 48
D. 72
E. None of the above
In a chess tournament, only two participants can compete at once. Six participants took part in the tournament, and each of them played for the same amount of hours. If the tournament lasted 21 hours, how many hours did each participant play?
A. 3.5
B. 6
C. 7
D. 8
E. None of the above
The figure below is a rectilinear shape. What is the perimeter (in cm) of the figure?

A. 318 cm
B. 309 cm
C. 303 cm
D. 300 cm
E. None of the above
In a set of three parcels, labelled Parcel A, Parcel B and Parcel C, one contains a sweater while the other two contain shoes. The labels on the parcels are as follows:
Parcel A: "This parcel contains shoes."
Parcel B: "This parcel contains a sweater."
Parcel C: "Parcel B contains shoes."
If only one parcel is labelled correctly, which of the following statements is correct?
A. Parcel A contains shoes
B. Parcel B contains a sweater
C. Parcel C contains a sweater
D. Parcel C contains shoes
E. None of the above
The product of three consecutive whole numbers is 54834. What is the sum of these 3 whole numbers?
A. 111
B. 114
C. 117
D. 120
E. None of the above
Which option below is the correct rotation of the figure below?
How many triangles are there in the figure below?
Tom uses each of the digits 5, 6, 7, 8 and 9 exactly one to construct a 5-digit number with the following properties:
-The first two digits from left to right create an even number.
-The first four digits from left to right form a multiple of 4.
-The last three digits from left to right form a multiple of 3.
-The number itself is a multiple of 5.
Then Tom removes the last digit. What is the resulting 4-digit number?
In a community centre, the ratio of men to women is 23:37. According to a survey, 15% of the individuals in this community are interested in painting, while the rest are not. Eleven women are interested in painting, while 39 men are not interested in painting. How many women are not interested in painting?
Find the value of the following. $$2024\times (\frac{1}{132}+\frac{1}{156}+\frac{1}{182}+\cdots +\frac{1}{506})$$
Let $\frac{A}{B}$ be the next fraction in the sequence below. If $\frac{A}{B}$ is a fraction in its simplest form, find the value of $A+B$. $$\frac{1}{3},\frac{1}{3},\frac{5}{9},\frac{1}{1},\frac{9}{5},\frac{29}{9},...$$
In the square below, the shaded paths are 6 metres wide. If $AD=36$ m and $BC=28$ m, find the area ($\text{m}^2$) of the shaded region.
During a coffe break, Emily and Frank engage in a conversation.
Emily: I have three plants. If we multiply their pot numbers, we get 144 and the sum of their pot numbers is the floor number we are currently on.
Frank: I know the floor number, but Im still unsure about their pot numbers.
Emily: My mistake, I forgot to mention that two of my plants have the same number.
Frank: Ah, now I know their pot numbers.
What is the difference between the largest and smallest pot numbers?
Sarah has written down three whole numbers on a piece of paper, and the product of these numbers is 1584. The largest number is four times the smallest number. What is the sum of the numbers that Sarah has written?
In the following cryptarithm, all the different letters stand for different digits. What is the value of the sum A+W+A+R+D?
Olivia has a basket filled with 20 unique coins, each with a distinct number from 1 to 20. What is the smallest number of coins Olivia must randomly draw from the basket without looking to ensure that she has two coins whose product is a perfect square?

SASMO 2024 - Primary 4

Admin dot — Thu, 14 May 2026 02:32:16 +0000

Find the value of the following product. $$64\times 15\times 75 \times 125$$
A. 9000000
B. 4500000
C. 2250000
D. 900000
E. None of the above
What number is one-third of one-fourth of one-fifth of 1620?
A. 135
B. 108
C. 81
D. 27
E. None of the above
Which of the following options do you less likely to spin?

A. An even number
B. An odd number
C. A number which is greater than 6
D. A multiple of 3
E. A multiple of 4
What is the missing piece of the figure below?
Eleven days before the day after tomorrow was Thursday. Which day of the week was yesterday?
A. Thursday
B. Friday
C. Saturday
D. Sunday
E. None of the above
The diagram shows some cubes of the same size stacked at a corner of a room. How many additional cubes must be added to the figure to form the smallest possible larger cube? (Note: The floor is horizontal and the two walls are vertical. There are no gaps or holes behind the visible cubes.)

A. 56
B. 57
C. 58
D. 59
E. None of the above
How many numbers are there in the list below? $$23,40,57,74,...,465$$
A. 28
B. 27
C. 26
D. 25
E. None of the above
A shop has a special offer: for every 8 empty cola cans returned, customers can exchange them for one can of cola. Alex has just enough money to buy 113 cans of cola. What is the greatest number of cola cans that Alex can obtain?
A. 120
B. 126
C. 127
D. 128
E. None of the above
The prices for different car rental options are as follows:
-Option A: $\$$25 per 100 miles
-Option B: $\$$40 per 200 miles
-Option C: $\$$50 per 250 miles
-Option D: $\$$70 per 400 miles
Which car rental option offers the best rate per mile?
A. Option A
B. Option B
C. Option C
D. Option D
E. Options B and C
Samantha is four times as old as Alex now. If Samantha's age 17 years ago is equal to Alex's age 13 years from now, how old is Samantha now?
A. 10
B. 20
C. 30
D. 40
E. None of the above
The large rectangle below is made up of 4 identical rectangles. Given that the perimeter of the small rectangle is 14 cm, what is the area (in $\text{ cm}^2$) of the shaded region?

A. 1944 $\text{cm}^2$
B. 3888 $\text{cm}^2$
C. 972 $\text{cm}^2$
D. 1494 $\text{cm}^2$
E. None of the above
Liam, Mia and Ethan contributed a total of 342 points to a game. Mia scored 23 points more than Liam, while Ethan accumulated five times the combined points of Liam and Mia. How many points did Ethan score in the game?
A. 17
B. 40
C. 285
D. 300
E. None of the above
Study the pattern below. What is the value of the missing number?

A. 157
B. 715
C. 155
D. 57
E. None of the above
Which one is the odd one out?
Alice, Brandon, Caleb and Diana are comparing the number of books they read.
Diana: I read the most number of books.
Caleb: I read more books than Alice, but someone read more than me.
Brandon: I did not read the most number of books.
Alice: I read the fewest number of books.
All 4 of them read different numbers of books. If one of them is lying, can you rank the number of books they read from the most to the fewest?
A. Diana, Alice, Caleb, Brandon
B. Diana, Caleb, Brandon, Alice
C. Brandon, Alice, Caleb, Diana
D. Diana, Caleb, Alice, Brandon
E. None of the above
How many triangles are there in the figure below?
A prime number is a whole number that has exactly 2 factors: 1 and itself. For example, 2 and 11 are prime numbers, and 1 and 4 are not prime numbers. How many three-digit multiples of 4 have all of their digits as prime numbers?
The figure below is a rectilinear shape. What is the perimeter (in cm) of the figure?
In a toy store, three were 67 action figures on the first display and 32 action figures on the second display. After a promotional event, an equal number of action figures from each display were sold. The remaining action figures on the first display were then six times as many as the number of action figures left on the second display. How many action figures were left in total after the sales?
In the numerical representation of dates, January 23, 2024, is expressed as 20240123, and September 2, 2024, is denoted as 20240902. How many occurrences of the digit '2' exist in all 8-digit numbers representing dates in the year 2024?
Emma purchased a bag of jellybeans, consisting of 15 blue, 9 green and 21 purple jellybeans. She randomly grabs a handful of jellybeans from the bag. What is the least number of jellybeans Emma must take to guarantee she has at least 12 jellybeans of the same colour?
An encylopedia consists of 624 pages. How many times does the digit '5' appear in the page numbering of the encylopedia?
In the square below, the shaded paths are 3 metres wide. If $AD=18$ m and $BC=14$ m, find the area $(\text{m}^2)$ of the shaded region.
How many 3-digit multiples of 5 can be written as the product of 3 one-digit numbers?
In the following, all the different letters stand for different digits. What is the smallest possible value of the 4-digit number YWVZ?

SASMO 2024 - Primary 3

Admin dot — Wed, 13 May 2026 02:55:35 +0000

What is the value of the following sum? $$94+81+73+60+52+46+39+27+18$$
A. 500
B. 490
C. 480
D. 470
E. None of the above
How many bricks are nedeed to fix the wall below?

A. 34
B. 35
C. 36
D. 37
E. None of the above
What is the next number in the sequence below? $$1,2,5,14,41,122,...$$
A. 365
B. 366
C. 245
D. 200
E. None of the above
The diagram shows some cubes of the same size stacked at a corner of a room. How many cubes are there altogether?
(Note: The floor is horizontal and the two walls are vertical. There are no gaps or holes behind the visible cubes.)

A. 66
B. 67
C. 68
D. 69
E. None of the above
Which of the given numbers of pencils can be evenly arranged into groups of 6 without any remaining?
A. 94
B. 166
C. 712
D. 1956
E. None of the above
The picture graph shows the number of books that Amy, Tom, Desmond and Stacy here. Altogether, they have 153 books. If Tom wants to have as many books as Desmond, how many book does he need to buy?

Each bag stands for the same number of books.
A. 4
B. 9
C. 32
D. 36
E. None of the above
A shop has a special offer: for every 8 empty cola cans returned, customers can exchange them for one can of cola. Alex has just enough monet to buy 92 cans of cola. What is the greatest number of cola cans that Alex can obtain?
A. 101
B. 102
C. 103
D. 104
E. None of the above
The figure below is formed by identical squares with a length of 4 cm. What is the perimeter (in cm) of the figure?

A. 112 cm
B. 108 cm
C. 84 cm
D. 28 cm
E. None of the above
A farmer has a total of 175 eggs in two nests. After moving 20 eggs from the first nest to the second one, the first nest has 15 more eggs than the second one. How many eggs were initially in the seconnd nest?
A. 115
B. 95
C. 80
D. 60
E. None of the above
In a chess tournament, there are 7 players. Each player competes once against every other player in the tournament. What is the total number of games played in the tournament?
A. 56
B. 42
C. 28
D. 21
E. None of the above
The 6-digit number 75276A is a multiple of 11. The 6-digit number A6712B is a multiple of 9. Find the value of A+B.
A. 11
B. 10
C. 8
D. 3
E. None of the above
In a treasure hunt, there are 9 hidden chests and 9 distinct maps. Each map guides to a specific chest, and no two maps lead to the same chest. What is the greatest number of attempts Sam needs to make to discover which map corresponds to each chest?
A. 28
B. 45
C. 72
D. 90
E. None of the above
Study the pattern below. What is the value of the missing number?

A. 125
B. 512
C. 58
D. 95
E. None of the above
Fold a piece of paper three times and then cut along the dashed line. What image will be revealed when the paper is unfold?
Alex, Mia, Owen and Lily are comparing the number of books they read.
Owen: I read more books than Alex, but someone read more than me.
Lily: I read the most number of books.
Mia: I did not read the most number of books.
Alex: I read the fewest number of books.
All 4 of them read different numbers of books. If one of them is lying, can you rank the number of books they read from the fewest to the most?
A. Mia, Owen, Alex, Lily
B. Alex, Owen, Mia, Lily
C. Mia, Alex, Owen, Lily
D. Lily, Owen, Alex, Mia
E. None of the above
The sum of the digits of an odd 3-digit number is 10. What is the largest possible such 3-digit number?
It is given that

Find the value of Owl?
Samantha and Sarah initially had an equal number of notebooks. Samantha gifted 11 notebooks to Sarah. Afterwards, Sarah purchased 14 more notebooks. The final number of notebooks Sarah had was three times the number Samantha had originally. How many notebooks did each of them have at the beginning?
How many trianges are there in the figure below?
The large rectangle below is made up of 4 identical rectangles. Given that the perimeter of the small rectangle is 64 cm, what is the area (in $\text{cm}^2$) of the shaded region?
I am a 3-digit even number.
- All my digits are different.
- The digits in my number are arranged in increasing order from left to right.
- The digits in my hundres and tens places add up to 13.
What number am I?
Tom creates four-digit multiples of 4 using each of the digits 1, 3, 6 and 8 exactly once. How many such 4-digit numbers can Tom create?
How many different 3-digit odd numbers can be formed using an odd number of matchsticks in total?
In the following, all the different letters stand for different digits. If B is a multiple of 4, what is the value of the 4-digit number DAFE?
Study the pattern below. What is the value of the missing number?

SASMO 2024 - Primary 2

Admin dot — Tue, 12 May 2026 02:07:20 +0000

Find the order of the toys from the shortest to the longest.

A. Toy D, Toy A, Toy B, Toy C
B. Toy C, Toy B, Toy D, Toy A
C. Toy C, Toy B, Toy A, Toy D
D. Toy B, Toy C, Toy A, Toy D
E. None of the above
How many dots are there in the figure?

A. 101
B. 103
C. 105
D. 109
E. None of the above
How many numbers between 101 and 351 are exactly divisible by both 2 and 5?
A. 125
B. 50
C. 26
D. 25
E. None of the above
Find the picture below which is exactly the same as the picture on the bottom.
What is the next number in the sequence below? $$30, 29, 27, 24, 20, 15, ...$$
A. 9
B. 10
C. 11
D. 13
E. None of the above
Which of the following numbers is a multiple of 3?
A. 79
B. 368
C. 7311
D. 9631
E. None of the above
The diagram shows some cubes of the same size stacked at a corner of a room. How many cubes are there altogether? (Note: The floor is horizontal and the two walls are vertical. There are no gaps or holes behind the visible cubes)

A. 47
B. 46
C. 45
D. 43
E. None of the above
What is the missing piece of the figure below?
How many triangles are there in the figure below?

A. 10
B. 12
C. 14
D. 16
E. None of the above
At a garden party, there are four flower pots named Lily, Rose, Tulip and Violet. Lily and Violet are the same size. Lily fits inside Rose and Rose fits inside Tulip. Considering this information, which of the following statements is true?
A. Lily cannot fit inside Tulip
B. Tulip can fit inside Violet
C. Violet can fit inside Rose
D. Rose can fit inside Violet
E. None of the above
What is the sum of the digits of the product below? $$32\times 13\times 75\times 125$$
A. 12
B. 10
C. 9
D. 3
E. None of the above
Amy, Brenda and Carol sit around a circular table, each with a different accessory: bracelet, necklace or earrings. The girl with the necklace is seated to the left of Amy. Carol is to the left of the girl with the earrings. What accessory does each girl have?
A. Amy-necklace, Brenda-earrings, Brenda-bracelet
B. Amy-earrings, Brenda-necklace, Carol-bracelet
C. Amy-necklace, Brenda-bracelet, Carol-earrings
D. Amy-earrings, Brenda-bracelet, Carol-necklace
E. None of the above
In a classroom, there are a total of 80 pencils divided between two pencil cases. After moving 12 pencils from the first case to the second one, the first case has 6 more pencils than the second case. How many pencils were initially in the second case?
A. 25
B. 37
C. 43
D. 55
E. None of the above
How many days are in a month that begins on Saturday and ends on Sunday?
A. 31
B. 30
C. 29
D. 28
E. None of the above
Which one is the odd one out?
The picture graph below shows the number of toys that 4 students have. How many toys does each bag stand for if the students have 91 toys in total?
It is given that

What is the value of Owl?
The sum of the digits of an even 3-digit number is 11. What is the largest possible such 3-digit number?
Emily wrote all 3-digit multiples of 5. How many times did she write the digit 5?
I am a 3-digit odd number.
- All my digits are different.
- The digits in my number are arranged in decreasing order from left to right.
- The digits in my hundreds and tens places add up to 5.
What number am I?
How many 3-digit numbers have only odd digits?
Two years ago, Tom was four times as old as Bob. Three years from now, the sum of their ages will be 30. What is the difference between their ages now?
In a petting zoo, there are a total of 10 rabbits and ducks. The combined number of legs of all the rabbits and ducks is 34. How many ducks are there in the petting zoo?
How many different 3-digit multiples of 5 can be formed using an even number of matchsticks in total?
In the following, all the different letters stand for different digits. If B is an odd digit, what is the value of the 4-digit number DAFE?