VOLUME
1x1x1=
(unit:cm)
A. 1cm
B. 1cm2
C. 1cm3
Answer:
C. 1cm3
x+1=9
x=?
(Answer in 3 seconds)
Answer:
x=8
There are 34 cats and 6 dogs at a pet store. What is the ratio of the number of dogs to number of cats?
Answer:
3:17
A rectangular prism has:
? faces
? vertexes
? edges
? lengths ? widths ? heights
Answer:
6 faces, 8 vertexes, 12 edges, 4 lengths, 4 widths, 4 heights
What is the answer of A times B?
(Answer in 3 seconds)
Answer:
AB
Fill in the blanks with words.
Ratios show [ ] between 2 quantities.
Ratios express numbers using [ ].
Answer:
relationship
units
9x9x9=?
11x11x11=?
13x13x13=?
(300 for correct mental math/memorized, 200 for correct calculation, 50 for correct estimation!)
Answer:
729, 1331, 2197
What does a letter after a number mean? (for example 3a) Name it in at least 2 ways.
Answer:
3 groups of a
3 times a
......
What is the ratio?
[the number] of parallel sides of a parallelogram to [the number] of parallel sides of a regular octagon
Answer:
2:4=1:2
A rectangular container has water filled to 2/3 of the height. The area of the base is the result of [the number] of edges of a cube times [the number] of vertexes of a cube. The height is of the container is 27cm. Find the volume of the water in liters. (All units are cm)
Answer:
12x8=96cm2
27x2/3=18cm
96x18=1728cm3=1.728L
(2x-15)·8=x
Answer:
2x·8-15·8=x
16x-120=x
16x-120-x=x-x
15x=120
x=8
There are some bicycles and tricycles in a store.The ratio of the number of bicycles to tricycles is 8:3. There are 75 wheels in all. How many bicycles are there? How many tricycles are there?
Answer:
8x2=16
3x3=9
16=9=25
75÷25=3
3x8=24
3x3=9
24 bicycles and 9 tricycles
2 rectangular prisms A and B (with unknown lengths, widths, and heights) make a composite solid. Only the area of the faces of each solid is known.
A: width x length=63cm2
length x height=18cm2
height x width=14cm2
B: width x length=27cm2
length x height=18cm2
height x width=6cm2
What is the volume of the composite solid?
Answer:
63=7x9 18=2x9 14=2x7
7x9x2=126cm3
27=3x9 18=2x9 6=2x3
2x3x9=54cm3
126+54=180cm3
(5x+8)·16=112x
Answer:
5x·16+8·16=112x
80x+128=112x
80x+128-80x=112x-80x
128=32x
x=4
A mouse is running on the sides of a parallelogram from A to B to C (this is not a ratio). The cat is chasing the mouse from A to D to C. The cat caught the mouse on point E which is on line BC.The distance from C to E is 9 meters. What is the ratio of the distance the cat ran to the perimeter of the parallelogram.
Answer:
3:4