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- 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?
This topic was modified 2 minggu ago by Admin dot
Posted : 15/05/2026 2:58 am
