Students from three levels, Middle Primary, Upper Primary and Junior, participate in a math competition. If 65% of the students are not in Upper Primary and 60% are not in Middle Primary, then what percentage of students are Junior participants?
In Braille code, a positive integer is represented by the number sign followed by the Braille symbols for each of its digits, as shown in the table below. For example, the number 23 is represented as shown here, using a total of 8 dots.
Including the number sign, how many dots are needed to represent 2025?
The IMAS baseball team won 45 of its first 50 games. What is the least number of games they must win out of their remaining 40 games to finish the season with a winning percentage of at least 75%?
A straight stick lies horizontally on the ground. It has four black dots and eight white dots such that the black dots divide the stick into five equal parts and the white dots divide the stick into nine equal parts. If the distance between the second black dot and the second white dot from left to right is 16 cm, as shown in the diagram below, what is the length, in cm, of the stick?
A taxi driver charges passengers a fixed rate of 2.50 dollars for any trip that is one kilometer or less. For trips over one kilometer, an additional 0.15 dollars is charged for every 100 meters beyond the first kilometer. A passenger was charged 5.95 dollars for a trip. How far did the passenger travel?
Three friends, Alex, Ben and Charlie, are participating in a 1600-meter inline skating race. The race results are as follows:
- Alex finishes the race first.
- Ben finishes 18 seconds after Alex.
- When Ben finishes, Charlie still has 120 meters left to skate.
- Charlie takes 15 more seconds to reach the finish line after Ben.
Assuming all three skate at constant speeds, how long, in seconds, did Alex take to finish the race?
As shown in the diagram below, David has eight shaded pieces (labelled as A, B, …, G, H) that are placed on the $11\times11$ game board. Each piece is to be pushed, in a certain order, into the game board such that every piece must align along the grid lines and no part of any piece remains outside the board or overlapping. After David pushes all eight shaded pieces in this order, which piece will be pushed last?
Start with the number 2025 and perform the following operation: every time a 0 appears in the number, replace it with 2025. For example, after the first operation, the number becomes 2202525. If this operation is repeated 2025 times, what is the positive difference between the number of 2s and the number of 5s in the final number?
There are 24 four-digit positive integers that use each of the digits 2, 4, 5 and 7 exactly once. Only one of these four-digit numbers is a multiple of a different number. Which of the following numbers is it?
As shown in the diagram on the left, a $3\times3$ grid is created on a wall by using nine nails, with the distance between any two adjacent nails, whether horizontally or vertically, equal to 10 cm. A rubber band is then used to connect three non-collinear points on the grid to form a triangle. The diagram on the right shows one example of a triangle formed in this manner.
How many different possible value(s) can the area of the resulting triangle take on?
A class of students took a test. After marking all the test papers, the teacher decided to award 2 extra points to each boy and 3 extra points to each girl. As a result, the class average increased by 2.2 points. What percentage of the students in the class are girls?
Alice and Ben are participating in the “Healthy Walk Challenge”, where each participant must walk starting from Sunshine Elementary School to Green Park. When they reach Rest Point 1, Alice asks Ben: “How far have we walked so far?”
Ben replies: “We have walked one-third of the distance from here to Rest Point 2.”
After resting, they continue walking. After walking another 18 kilometers, Alice asks again: “How much farther do we have to walk to reach Green Park? I’m getting tired!”
Ben replies: “Only one-third of the distance from here back to Rest Point 2 remains, and then we will be at Green Park.”
How far apart, in kilometers, are Sunshine Elementary School and Green Park?
Consider all four-digit numbers whose product of digits is equal to 0. If these numbers are listed in increasing order, what position does the number 2025 occupy?
A frog starts at 0 on a number line. Each jump is either $+26$ or $+20$. Is it possible for the frog to land on 2026? If it is not possible, choose option (A). If it is possible, what is the minimum number of jumps required to achieve this?
