Under the dilation shown at the right, the value of x will be:
Choose:
21
35÷7
5
6x6
36
What set of transformations will transform the leftmost image into the rightmost image?
A: A 90 degree clockwise rotation about (2,1) followed by a translation of two units to the right.
B: A translation 3 units up, followed by a reflection about the line y=x.
C: A 90 degree clockwise rotation about (5,1), followed by a translation of 2 units up.
D: A 90 degree clockwise rotation about (2,1) followed by a translation of 2 units to the right.
C: A 90 degree clockwise rotation about (5,1), followed by a translation of 2 units up.
Here is a student's work on several multiplication problems:
For which of the following problems is this student most likely to get the correct solution, even though he is using an incorrect algorithm?
A
58 x 22
B
16 x 24
C
31 x 23
D
141 x 32
C
31 x 23
Stanley had a poster made from a picture of his dog Tasha. The poster image is eight times the size of the picture. If the poster image is 120 cm. in height, what was the height of Stanley's original picture of Tasha (in centimeters)?
Choose:
15
42÷7
6
11x7
77
The letters A, B, and C represent digits (possibly equal) in the twelve digit number x=111,111,111,ABC. For which values of A, B, and C is x divisible by 40?
A
A=3,B=2,C=0A=3,B=2,C=0
B
A=0,B=0,C=4A=0,B=0,C=4
C
A=4,B=2,C=0A=4,B=2,C=0
D
A=1,B=0,C=0
A
A=3,B=2,C=0A=3,B=2,C=0
The first histogram shows the average life expectancies for women in different countries in Africa in 1998; the second histogram gives similar data for Europe:
How much bigger is the range of the data for Africa than the range of the data for Europe?
A
0 years
B
12 years
C
18 years
D
42 years
C
18 years
A dilation centered at O produces image A' as shown at the right. If the scale factor is k = 3, find OA'.
Choose:
3
9
27
36
27
70÷7
10
54
What is the least common multiple of 540 and 216?
A
25⋅36⋅525⋅36⋅5
B
23⋅33⋅523⋅33⋅5
C
22⋅33⋅522⋅33⋅5
D
22⋅32⋅5222⋅32⋅52
B
23⋅33⋅523⋅33⋅5
The "houses" below are made of toothpicks and gum drops.
Which of the following does not represent the number of gumdrops in a row of h houses?
A
2+3h2+3h
B
5+3(h−1)5+3(h−1)
C
h+(h+1)+(h+1)h+(h+1)+(h+1)
D
5+3h5+3h
D
5+3h5+3h
A dilation centered at O is shown at the right. The image is ΔA'B'C'.
If OA = 12 units and
OA' = 8 units, what is the scale factor of this dilation?
Choose:
2/3
32÷8
4
9x7
63
Each individual cube that makes up the rectangular solid depicted below has 6 inch sides. What is the surface area of the solid in square feet?
A
11 ft211 ft2
B
16.5 ft216.5 ft2
C
66 ft266 ft2
D
2376 ft22376 ft2
B
16.5 ft216.5 ft2
Use the samples of a student's work below to answer the question that follows:
23×34=4×23×3=8923×34=4×23×3=89 25×77=7×25×7=2525×77=7×25×7=25 76×34=4×76×3=2818=14976×34=4×76×3=2818=149
Which of the following best describes the mathematical validity of the algorithm the student is using?
A
It is not valid. It never produces the correct answer.
B
It is not valid. It produces the correct answer in a few special cases, but it‘s still not a valid algorithm.
C
It is valid if the rational numbers in the multiplication problem are in lowest terms.
D
It is valid for all rational numbers.
B
It is not valid. It produces the correct answer in a few special cases, but it‘s still not a valid algorithm.
The diagram at the right shows a dilation of scale factor of ½. Which segment is parallel to ?
Choose:
88÷8
11
10x5
50
Use the graph below to answer the question that follows.
If the polygon shown above is reflected about the y axis and then rotated 90 degrees clockwise about the origin, which of the following graphs is the result?
A
B
C
D
B
What is pi (3.14159265) to the power of pi?
36.4621596
30.9591444
27.1234567
27.3 repeating
9.8596
36.4621596