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- 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?
This topic was modified 1 minggu ago 2 times by Admin dot
Posted : 18/05/2026 3:48 am
