CXVIII
118
The square below has an area of 81, and is divided into five identical smaller squares and one larger square. What is the sum of the perimeters of the five smaller squares and one larger square?
84
The side length of the original square is square root of 81=9 ,therefore the side length of the smaller side is 9 ÷ 3 = 3, and the side length of the larger square is 9 − 3 = 6. The perimeter of one of the smaller squares is 4 × 3 = 12, so the total perimeter of the five smaller squares is 12 × 5 = 60. The perimeter of the larger square is 4×6=24. The total perimeter of all of the squares is 60+24= 84
5x 1000 + 2 x 10 +4=
5,024
There are 30 students in Kevin's math class. 18 own dogs, 9 own cats, and 7 own both dogs and cats. How many students own neither a dog nor a cat?
10 students
30 -18 -9 +7=10
What is (3 x 10) + (1 x 10) + (2 x 1000)=
2,040
CXXI
121
What is the Perimeter of an equilateral decagon with side length 12?
120
9 x 2 x 30=
540
Cynthia begins at the bad ladder. She climbs 6 rungs up, then climbs 2 rungs down. Finally, she climbs 7 rungs up to the top of the ladder. How many rungs does the ladder has?
6-2+7 =11
What is 5 x 9 x 2 x 2 x 5=
900
XXXVIII
38
The part of a line beginning at one point and extending forever in one direction
Ray
25x19=
475
Evaluate 4! + 3! + 2! + 1!=
4! + 3! + 2! + 1!= 24+ 6 + 2 + 1= 33
6√71
What is 11 R 5
XLVI
46
The perimeter of a square is 12 feet. Its area is...square feet?
A=9
3x 4 x 5 x 6 : 20=
18
A farmer has 36 chickens and rabbits. There are 96 legs altogether. How many chickens does the farmer have? How many rabbits does the farmer have?
What is 12 rabbits and 24 chickens.
4√411
What is 102 R 3
MDLXIX
Side length of a regular octagon is 8. What is the perimeter?
64
If a= 6 , then a+a2=
42
Mia writes a different digit in each blank below to create a sum of three 3-digit numbers. What is the smallest possible sum of the three numbers?
_ _ _+_ _ _+ _ _ _
What is 711
For example, 148+256+307
You coild have arranged the digits differently and still got the same sum. As long as you used 1,2, and 3 as the hundreds digits, and 6,7 and 8 as the ones digits, the sum always will be 711.
45 x 45=
2,025