Unit 1&2: Scale Drawings & Proportional Relationships
If the area of the square is 8, then what's the area of the twice bigger square.
16
If a radius of a circle is 9, what's the area of the circle?
81pi
-8 + (-4) - 6 + 7 = ?
-11
Bella tries to make a triangle. Firstly, she made a line that is 12 cm, and she made other lines that are 7 cm and 5 cm. Does this triangle work? (give reasons why O or X)
No, because the biggest length isn't smaller than the sum of 2 other lengths, they are just same.
What's the probability of it that you get 3 dots(⚂) from 6 sided-dice?
1/6
To make a cup of pink paint, you need 5 small cups of white paint and 3 small cups of red paint. If you want to make 4 cups of pink paint, how many white and red small cups do you need?
20 small cups of white and 12 small cups of red
Youngseo has $10,000. He used 50/100 % of his money for games or gift cards. How much does he have for now?
$5,000
Junyoung had $20, he bought 4 tickets to the movie, if each one cost $10 and his mother gave him the rest of the money, how much is he in debt.
$20
A is the complementary angle with 88 degrees, what's the angle of A?
2 degrees
There's a graph about the status of Lucas's test results in 7th grade. Overall, he did 7 tests. He got one 100points-result, four 80points-results, and two 50points-results. He will have a test soon, what's the probability of 80points-resul
4/7 or 57%
Sarah is making a map by using a scale of 1 in. to 10 ft. On her map, the area of the baseball field is 160 square inches with 10 inches in width and 16 inches in length. What's the actual area of the baseball field?
160,000 feet
Youngseo ran a circular track 2.5 times and if the radius of the track is 15m, how much did he run?
75 pi meters
During vacation, Youngseo tried to visit his grandmother's house. His car moved 20 km/h. He left the house at 1 pm and he arrived at 3 pm. How many kilometers did he travel?
40 km
Sofia had a candy box that has the volume of 85 cm2. She wanted to put some chewing gums, so she measured the height, length and width of the chewing gum box. The height was 1 cm, width was 2 cm. And, the length was double of width. How many chewing gums can she put into the candy box?
10 chewing gums (boxes) - with left space
At the JIS cafeteria, guests were given a choice of 2 types of rice, 4 vegetables or salad, 3 types of meats, and 4 beverages. How many different meals are possible?
96 different meals are possible.
Junyoung made a triangle the triangle has sides A, B, and C. Side A = 13cm, Side B = 8cm, and Side C = 5cm. He made another triangle, side A of the new triangle has a length of 3.25cm. What are the lengths of sides B and C of the new triangles?
2 and 1.25
10 pi
2 x (-1/2) + 16 ÷ 4 = ?
3
Guess this angle! Who am I?
1. I am a complementary angle of A.
2. A is the half of the supplementary angle of 82 degrees.
41 degrees
Sofia flipped 2 coins. If the probability that a coin gets a head is 1/2, what's the probability that 2 coins get 2 heads(Both of them)?
1/4 - (head & tail), (tail & head), (head & head), (tail & tail)
The scale factor from Polygon A to Polygon B is 3. Side C of Polygon A is 6 cm. Let's say there's a circle D that has the radius as side C of Polygon B. What is the length of side C of Polygon B and the perimeter of circle D?
18 cm, 36pi square cm
Radius of circle A + Radius of circle B = Radius of circle C, what's the perimeter of circle C?
The perimeter of circle A: 50pi (2 pi r)
The area of circle B: 36pi (pi r2)
62 pi
Junyoung and Youngseo ran a track. Junyoung gave Youngseo a 20 minutes head start. If Youngseo ran 15km/h and Junyoung ran 20km/h when will Junyoung catch up to Youngseo?
1 hour
Jack bought a box of sugar. The volume of sugar box was 1400 cm2. You tried to move sugar into another box. It was made up of a triangular prism and rectangular prism. The height of the box was 40 cm, and the area of triangular prism base was 12 cm2. The base of rectangular prism was double of the triangular prism's base. Was there any sugar left if you moved the sugar to the new box?
Yes - the volume of new container is 1440 cm2 and the volume of original container is 1400 cm2, so there will be some left.
Ruby played a game that used dice with her friend. They rolled 2 dice at once. And if they got double 1s, the one who rolled dice loses. If she rolled the dice for 180 times, how many times would you expect to get double 1s?
In 5 rolls - the probability that getting double 1s is 1/36 by (1/6)2. So if it's 180, it would be 5 by 180÷36.