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- Compute 20×45＋25×45.
A) 2225
B) 2025
C) 3025
D) 2205
E) 2525 - Which value in the options is the closest to half of the sum of 45674567 and 67896789?
A) 55556666
B) 56565656
C) 56775677
D) 56756756
E) 55000000 - When Omar calculated an expression, he mistook a number multiplied by 4, then plus 20, for a number divided by 4, then minus 20. If the result he got was 2025, find the result of the correct expression.
A) 32660
B) 32740
C) 32720
D) 32640
E) 32700 - July 26, 2025, is a Saturday. In which month of 2025 does the 26th day also fall on a Saturday?
A) February
B) May
C) October
D) April
E) November - If the sum of 10 consecutive integers is 255, find the sum of the next 10 consecutive integers.
A) 510
B) 1255
C) 555
D) 265
E) 355 - Given two sets of numbers. The first set has 9 numbers, and their sum is 63. The second set has 3 numbers. If the average number of the numbers in the two sets is 8, find the average number of the numbers in the second set.
A) 13
B) 8
C) 11
D) 6
E) 9 - Leo puts ribbons in red, yellow, and green together. Ribbons of the same color have the same length. What fraction of the length of the green ribbon is the length of each yellow ribbon?
A) $\frac{2}{3}$
B) $\frac{3}{4}$
C) $\frac{2}{5}$
D) $\frac{3}{8}$
E) $\frac{2}{7}$ - 3-digit number addition: 4□3＋126＝5△9. If 5△9 is a multiple of 9, find □＋△.
A) 4
B) 8
C) 11
D) 6
E) 9 - The composite figure consists of 2 equilateral triangles, 1 square, 1 regular pentagon, and 1 regular hexagon. If the perimeter of the square is 48cm, find the perimeter of this composite figure in cm?
A) 72
B) 63
C) 84
D) 64
E) 88 - A 9×9 small square is placed in a 10×10 square and overlaps with it at the top right. If the oblique lines are their diagonals, find the area of the shaded region.
A) 8.5
B) 9
C) 7
D) 6.5
E) 8 - David says to Henry, “My age is 7 times your age now. In a few years, my age will be 6 times your age. In a few more years, my age will be 5 times your age. In a few more years, my age will be 4 times, then 3 times your age.” How old is David this year?
A) 28
B) 42
C) 35
D) 49
E) 70 - Andy wants to paint the three letters $WMI$, but the two adjacent letters must be in different colors. The paints are in 5 colors: yellow, green, red, purple, and blue. How many different color combinations are there for $WMI$?
A) 96
B) 60
C) 80
D) 64
E) 100 - 4 of the 12 identical squares are painted while the other 8 squares are numbered 1～8. Find the sum of the numbers on the unpainted squares that can be folded into a lidless cube with the four painted squares.
A) 31
B) 27
C) 24
D) 17
E) 30 - Fill in the □’s below with appropriate numbers so that each number equals the product of the two numbers that are linked together beneath it. Find the sum of the five □’s.
A) 61
B) 56
C) 47
D) 51
E) 55 - $a,b,c,d$, and $e$ are five positive integers that are larger than 1. Their product $a×b×c×d×e＝2025$. Find the difference between the maximum value and the minimum value of their sums.
A) 4
B) 8
C) 12
D) 15
E) 14 - $\frac{2024}{2+0+2+4}-\frac{2025}{2+0+2+5}=?$
- Four people Nath, Lal, Kumar, and Datt are of different ages, and the sum of their ages does not exceed 70. Nath notices that the ages of three of them are perfect squares. Fifteen years later, the ages of three of them will still be perfect squares. Find the age difference between the oldest and the youngest of the four people.
- The 8-digit number
is a multiple of 4, 5, 6, 7, 8, 9, 10, and 11. Find this 8-digit number. - Form a 4-digit number with two consecutive 2-digit numbers. For example, 2425 or 3534. Find the average value of all these 4-digit numbers.
- Each side of a regular hexagon $ABCDEF$ is 1 cm. Extend the two sides of this regular hexagon $\overline{AF}$ and $\overline{CD}$ equally to form a new hexagon with an area 4 times the original. What is the length of the side $\overline{AF}$ in this new hexagon in cm?
- Use matchsticks to form nine digits 1～9. For certain numbers, the sum of the digits equals the number of matchsticks that are used. For example, the sum of the digits of 18 is 1＋8＝9, and the number of matchsticks that are used is 2＋7＝9. What is the largest 5-digit number among these certain numbers?
- Cut a large cube into 27 identical small cubes, and paint the squares on the faces of the large cube as shown in the figures. How many small cubes only have one face painted?
- Mary accidentally erases the symbol of a repeating decimal, and it becomes 0.987654321. If the 2025th digit after the decimal point of the original repeating decimal is 1, and the repeating period consists of at least 2 digits, how many possible values can this repeating decimal have? (An example of a repeating decimal $0.1\overline{23}＝0.1232323...$)
- A bag contains one red card for each number:1, 2, 3, ..., 135. Take several cards from the bag at will, divide the sum of the numbers on the cards by 17, write the remainder on a yellow card, and place it in the bag. After repeating the process for several times, only two red cards marked 15 and 99 and a yellow card are left in the bag. What number is written on the yellow card?
- In the equation below, different letters represent different digits, the same letter represents the same digit, and each letter is not a 0. If the equation is established, find the maximum value of the 4-digit number $\overline{MATH}$.
Posted : 22/05/2026 4:06 am
