AIMS Reference Sheet Story Problems Name ______
1. The cube shown has a volume of 216 cm3. What is the area of the base of the cube?
A 216 cm2
B 36 cm2
C 24 cm2
D 12 cm2
2. What is the slope of the line going through M (3, 5) and N (-5, 1)?
A 2
B -2
C ½
D -½
3. Circle O with tangents AB and BC is shown below. What is the length of AB?
A
3x + 5
O B
2x +9
C
A 3
B 4
C 15
D 17
4. Look at the figure below.
9 ft
4 ft 5 ft
12 ft
What is the total area of the figure?
A 42 ft2
B 48 ft2
C 52.5 ft2
D 30 ft2
5. Kara plans to carpet the entire floor in each of the two rooms shown below.
10 ft
9 ft
6.5 ft
3.5 ft
What is the best estimate of the total amount of carpet, in square feet, needed to completely cover both floors?
A between 80 and 90
B between 56 and 60
C between 28 and 35
D between 90 and 105
6. Circle O with chords AB and CD is shown below. AE = 3, CE = 4 and ED = 6. What is the length of EB?
A
C E D
O
B
A 7
B 6
C 4
D 8
7. What is the distance between the endpoints of segment MN given M (3, 5) and N (6, 1)?
A 7
B 5
C 25
D 7.5
8. Which is true about the graphs of these equations?
y = 2x + 2
y = - ½x +2
A The lines intersect, but are not perpendicular.
B The lines are parallel.
C The lines are perpendicular.
D The lines coincide (same line).
9. The figure below represents the top view of an area taken up by a fountain at a shopping mall. The figure consists of a rectangle with a semi -circle at the end as shown.
15 ft
8 ft
A 110 ft2
B 51 ft2
C 145 ft2
D 170 ft2
10. Points A, B, and C lie in Circle O, as shown below.
B
C
A . O
What is the measure of ÐBOC if the measure of arc
BAC is 300°?
A 300°
B 60°
C 150°
D 600°
11. Circle O with tangents AB and BC is shown below. Arc AC measures 150°. What is the measure of ÐABC?
A
O B
C
A 30°
B 150°
C 180°
D 75°
12. John has 4 different flags to fly on his flagpole: red (R), yellow(Y), green (G), and blue (B). If all 4 flags are to be flown together, what is the number of possible outcomes of how they can be displayed?
A 24
B 12
C 4
D 10
13. The right square pyramid represented below has a base edge of 9 inches and a height of 5 inches.
What is the volume in cubic inches of the pyramid?
A 135
B 405
C 45
D 75
14. Determine the slope m, x-intercept, and y-intercept of the equation 6x – 3y = 12
A slope m = -2
x-intercept = 2
y-intercept = -4
B slope m = -2
x-intercept = -2
y-intercept = 4
C slope m = 2
x-intercept = -4
y-intercept = 2
D slope m = 2
x-intercept = 2
y-intercept = -4
15. What is the volume of the given cone with h = 3 cm and r = 4 cm?
A 36p cm3
B 48p cm3
C 144p cm3
D 16p cm3
16. The coach wants to introduce each of the starting volleyball players at Tuesday’s game. In how many different orders can each of the 6 starting players be introduced?
A 6
B 21
C 720
D 360
17. What is the circumference of a circle with a diameter of 10 cm?
A 100p cm
B 400p cm
C 25p cm
D 20p cm
18. What is the measure of each interior angle of a regular convex pentagon?
A 240°
B 72°
C 180°
D 108°
19. Joan is planning her summer vacation. She can choose to go tone of 8 different countries, using 3 different airlines, and 4 different departure dates. How many different vacation combinations consisting of one country, one airline, and one departure date are possible?
A 15
B 96
C 32
D 288
20. What is the measure of each exterior angle of a regular convex octagon?
A 135°
B 45°
C 180°
D 360°
21. What is the midpoint of the segment connecting M (3, 5) and N (-5, 1)?
A (1, 3)
B (-1, 3)
C (-4, 2)
D (-1, 2)
22. The surface area of a sphere is 144p sq inches. What is the volume of the sphere?
A 288p sq inches
B 144p sq inches
C 36p sq inches
D 864p sq inches
23. Triangle ABC is shown below.
B
3 5
C A
4
What is the sine of angle B?
A
B
C
D
24. What is the distance between the points D and F on the graph below?
A
B
C
D
25. What is the area of a circle with a diameter of 10 cm?
A 100p cm
B 400p cm
C 25p cm
D 20p cm
26. Triangle ABC is shown below.
B
3 5
C A
4
What is the tangent of angle A?
A
B
C
D
Just for fun…
27. Which of the following properties justifies the statement below?
5 + 0 = 5
A commutative
B identity
C inverse
D closure
28. Which of the following properties justifies the statement below?
5 + -5 = 0
A commutative
B identity
C inverse
D closure
29. Which of the following properties justifies the statement below?
2 * ½ = 1
A commutative
B identity
C inverse
D closure
30. Which of the following properties justifies the statement below?
5 + 2 = 2 + 5
A commutative
B identity
C inverse
D closure
31. Which of the following properties justifies the statement below?
5(3 + 2) = 15 + 10
A commutative
B identity
C associative
D distributive
32. Which of the following properties justifies the statement below?
5 * 1 = 5
A commutative
B identity
C inverse
D closure
33. Which of the following properties justifies the statement below?
5(3 + 2) = 5(2 + 3)
A commutative
B identity
C associative
D distributive
34. Which of the following properties justifies the statement below?
5 + (3 + 2) = (5+ 2) + 3
A commutative
B identity
C associative
D distributive
35. The statements below are out of order.
W: If hot, the goggly.
X: If cold, then rev.
Y: If rev, then ouch.
Z: If ouch, then hot.
Which of the following puts the nonsensical if-then
statements in logical order?
A W→X→Y→Z
B Z→Y→W→X
C Z→W→Y→X
D X→Y→Z→W
36. Which of the following are inverse operations?
A addition and multiplication
B square root and cube root
C subtraction and taking square root
D addition and subtraction