AMO2019-G4

Untitled Lesson

By Huynh Viet Anh

Multiple Choice

Find the value of the following expression: 3 × 5 + 5 × 7 + 7 × 9 + 9 × 11

• 150

• 160

• 170

• 180

Multiple Choice

How many three-digit numbers have a sum of digits equal to 6?

• 10

• 15

• 21

• 28

Multiple Choice

Find the value of the following expression: (7643 + 6437 + 4376 + 3764) ÷ 110

• 210

• 220

• 230

• 240

Multiple Choice

A 3x3 grid is filled with integers. Which number needs to be changed so that the sum of the numbers in each row, the sum of the numbers in each column, and the sum of the numbers in each diagonal are all equal?

• Number in the first row, first column

• Number in the second row, second column

• Number in the third row, third column

• Number in the first row, third column

Multiple Choice

A MOEMS tile has a shape resembling the letter M as shown. It is a 5x5 square with two 4x1 rectangles removed. If the area of the MOEMS tile is 153 cm², what is its perimeter in cm?

• 34 cm

• 36 cm

• 38 cm

• 40 cm

Multiple Choice

Isabella has stacked unit cubes in the corner of a room as shown in the image. If Isabella continues this pattern to stack seven cubes high instead of four cubes, how many more cubes does she need?

• 10 cubes

• 20 cubes

• 30 cubes

• 40 cubes

Multiple Choice

What are the first two digits of the number Randal if the product of the number Randal and 101 is 2488842 and this number reads the same forwards and backwards?

• 248

• 252

• 253

• 258

Multiple Choice

What are the last two digits of the key combination?

• 688

• 884

• 448

• 488

Multiple Choice

Find the sum of the digits of the product 555 x 555.

• 15

• 25

• 30

• 35

Multiple Choice

Chloe has a rectangle made of construction paper. She folds the rectangle in half to create another rectangle. She then folds the resulting rectangle in half to create a square that is 3 cm x 3 cm. What is the area (cm²) of Chloe's original rectangle?

• 36 cm²

• 72 cm²

• 144 cm²

• 288 cm²

Multiple Choice

A group of people planned a trip using 12 buses. The number of people on each bus was the same. Later, they realized that they did not need so many buses, so they canceled 2 buses and redistributed all the people evenly among the remaining buses. Each bus finally had 5 more people. How many people participated in the trip?

• 100 people

• 120 people

• 140 people

• 150 people

Multiple Choice

How many points does Abigail have at the end of the game?

• 1 point

• 4 points

• 7 points

• 10 points

Multiple Choice

A 5-digit number 2A13A is divisible by 99. What is the digit A?

• 1

• 0

• 2

• 3

• 4

Multiple Choice

In the multiplication AB × BA = 57B, A and B represent different digits, AB and BA are two-digit numbers, and 57B is a three-digit number. If AB is less than BA, what is the two-digit number BA?

• 73

• 74

• 75

• 76

Multiple Choice

The displayed seat cards have been folded along the dotted line so that only some numbers or letters can be seen. Chrissy walked into the room and saw all six seat cards, some showing numbers and some showing letters. The numbers she saw total 12. How many different sets of numbers could there be?

• A. 1

• B. 2

• C. 3

• D. 4

Multiple Choice

If the area of triangle CAB is 27 cm², find the area (cm²) of the shaded part.

• 9 cm²

• 18 cm²

• 27 cm²

• 36 cm²

Multiple Choice

How many digits are there in the smallest multiple of 41 that consists entirely of the digit 1?

• 2

• 3

• 4

• 5

Multiple Choice

In the image, the octagon is formed by two overlapping squares. The overlapping part is also a square. The larger square has a side length of 6 cm. The smaller square has one corner at the center of the larger square, and the smaller square has a side length of 4 cm. What is the perimeter of the octagon in cm?

• 20 cm

• 24 cm

• 28 cm

• 32 cm

Multiple Choice

What is the minimum value that WIN can be when A = 5 and O = 4 in the displayed number cipher, with different letters representing different digits and two identical letters representing the same digit?

• 504

• 514

• 524

• 534

Multiple Choice

A ladder has 4 rungs. An ant is climbing up the ladder, not turning back at any part of the way, to reach the highest rung of the ladder. Knowing that the ant starts from A, in the middle of the bottom rung, how many different ways can the ant reach point B, in the middle of the top rung?

• 1 way

• 2 ways

• 3 ways

• 5 ways