ARMT Practice Warm ups

2012

1. What is the value of m in the equation below?

78641

m

2. Zorah drives to her office and back home 5 times in a week. The total distance for each round trip is 45 miles. Zorah’s car can travel 31 miles on one gallon of gasoline.

What is the least number of gallons of gasoline Zorah will require for the week?

3.

Write an equation that is true for all the values of x and y shown in the table above.

X Y-2 -80 -21 13 7

4. After taking off from an airport, an airplane flew 9 miles due west and 12 miles due south before landing at another airport.

9 miles airport

12 miles airport

What is the shortest distance, in miles between the two airports?

5. What is the effect on the volume of a rectangular prism if its width and height are doubled?

Answer: The volume is ____ times greater.

6. Which of the following is equivalent to ?

A. 720

B. 712

C. 78

D. 75

2

10

77

7. A cooler contains 7 cans of cola, 9 cans of orange soda, and 4 cans of seltzer. All of the cans are the same size and shape and there are no other cans in the cooler.

If Stacey chooses one can without looking, what is the probability that the can contains seltzer?

8. Which is equivalent to the expression below?

A. 6mB. 6m – 10C. 11mD. 11m – 15

523315 mmm

9. Which of these statements about triangles is not true?

A. An equilateral triangle can also be a right triangle.B. An acute triangle can also be an equilateral triangle.C. An isosceles triangle can also be an obtuse triangle.D. A right triangle can also be an isosceles triangle.

10. In the figure below, and are cut by transversals and to form the angles shown below.

If = 55˚and 74˚, what is the measure of ?

A. 74 ˚ B. 106 ˚ C. 129 ˚ D. 135˚

CDAB ||AY BC

CXY

ABXDYX

74˚ 55˚B

A

x

DY

C

11. What is the value of m in the equation below?

48255 mm

12. An airplane is flying at a constant altitude of 5,000 feet. Another airplane starts from an altitude of 3,500 feet and increases its altitude by 60 feet each minute.

After how many minutes will the two planes be at the same altitude?

A. 85 B. 60 C. 45 D. 25

13. If (-2, y) is a solution to the equation 2x – 5y = -19, what is the value of y?

A. B. -3C. 3D. 15

2114

14. Find the area, in square feet, of the figure shown below.

4 ft

3 ft

7 ft

7 ft

3 ft

3 ft

5 ft

15. In the figure below, HIJK and CDEF are similar rectangles.

What is the length of ?

A. 16 ft B. 20 ft C. 21 ft D. 27 ft

D

C

E

F

8 ft14 ft

35 ft K

JI

H

DE

16. The stem-and-leaf plot below shows a city’s monthly rainfall, in centimeters, for each of 24 months.

Which conclusion can be drawn from this stem-and-leaf plot?

A. The mode amount of rainfall per month was 7 cm.

B. There were exactly 20 months in which fewer than 20 cm of rain fell.

C. There were 4 months in which no rain fell.D. The median amount of rainfall per month

was 13 cm.

Monthly Rainfall (in centimeters)

0123

1

0 4 4 5 7 7 7 90 0 1 3 3 6 6 6 6 81 5 7 7 0 4

3 Represents 13

17. What is the value of k in the equation below?

1.6411

k

18. In the figure below, .

What is the measure of ?

A. 37˚ B. 43˚ C. 47˚ D. 53˚

0137 and AXDXCXA

CXD

A

B C

D

X

19. Larissa has a flower box in the shape of a rectangular prism, as shown below. The height of the flower box is ¾ foot.

Larissa has already filled the flower box with dirt to a level height of ½ foot. How many cubic feet of dirt must Larissa add to fill the box completely?

A. B. C. D.

¾ ft1 ft

2.5 ft

85

411 8

71 414

20. If x = 3, y = 4, and z = 5, what is the value of the expression below?

2

253 xyxz

21. Which of the following is equivalent to 26?

A.

B.

C.

D.

23 22

39 22

3

18

22

2

8

22

22. If two parallelograms have congruent corresponding angles, which statement is always true?

A. The parallelograms are similar.B. The parallelograms are rectangles.C. The parallelograms are rhombuses.D. The parallelograms are congruent.

7 cm

11 cm

23. What is the perimeter of the figure below?

A. 26 cm B. 27 cm C. 30 cm D. 33 cm

3 cm

24. An automobile dealership offers 2 types of transmissions, 3 types of interiors, and 4 exterior colors for a new car. The table below shows a customer’s options.

What is the probability that a customer will randomly select a car with an automatic transmission, leather interior, and green exterior?

Transmission AutomaticManual

Interior LeatherVinylCloth

Exterior Color RedBlueGreenWhite

25. In the figure below, ∆ADB is congruent to ∆EBC, and point B lies on .

The measure of is 118° and the measurement of is 25°. What is the measure, in degrees, of ?

AC

DABEBC

ABD

D

AB

E

C