MSTC 2 Math

A repair person charges a $30 fixed charge plus $45 per hour for time spent working. What is the total bill for a job that requires n hours of work? A ($30 + $45)n B $15n + $30 C $30n + $45 D $45n + $30

d

Use the table below to answer the question that follows. The table above gives the mean temperatures for each month of the year. What is the range in mean temperatures during this year? 50 52.5 53.0 53.5

a

In some countries, area is measured in pings. If the area of a rectangular piece of land that measures 22 feet × 27 feet is 33 pings, how many square feet is equal to one ping? A. 6 18 26.9 40.5

b

Maria has 11 yards of rope. She wants to divide it into 1-yard 24 lengths. How many pieces of rope will she have?

1 1/2 divided by 1/4

If the number 360 is written as a product of its prime factors in the form a^3b^2c, what is the numerical value of a + b + c?] A. 10 B. 16 C. 17 D. 22

A

To find the length of a lake, surveyors measure the distances shown such that K ABC and K ARS are similar. If RS = 3 km, AS = 4 km, and SC = 2 km, what is BC, the length of the lake? A. 4.5 km B. 5 km C. 6 km D. 8 km

A

Triangle ABC is isosceles. Angle B has a measure of 120°. What is the measure of angle A? A. 30 B. 45 C. 60 D. 120

A

212 206 246 238 231 216 224 To estimate the sum of the numbers given above, Riley first rounds each number to the nearest ten and then adds the rounded values. By how much will Riley's estimate differ from the actual sum? A. 3 B. 7 C. 33 D. 73

B

44. Use the diagram below to answer the question that follows. C 8 km Cross Road A West Road B 6 km Main Road and West Road are perpendicular and intersect at point A. Cross Road intersects Main Road 8 km from point A and intersects West Road 6 km from point A. What is CB, the length of Cross Road? 2B8 km 10 km 14 km 28 km

B

For a bake sale, Marianne has baked p chocolate chip cookies and Jeffrey has baked q peanut butter cookies. They want to package their cookies separately so that each bag has the same number of cookies. How many cookies could they put in each bag? Which of the following methods could be used to find all the solutions to this problem? A. Find the divisors of p + q. B. Find the common factors of p and q. C. Find the prime factors of p • q. D. Find the common multiples of p and q.

B

In a town with a population of 4800 people, 8% of the population is evenly distributed in grades 1-6. Approximately how many students are in grade 4? A. 55 B. 64 C. 77 D. 96

B

Use the graph below to answer the question that follows. y x A (0,3) B (4,3) C (4,1 ) D (3,-3) E (2,-1) Point E is on a line with a slope of 2 in the x-y plane. Which of the following points is also on the line? A. A B. B C. C D. D

B

What value does the 2 represent in the number 2.1 × 10-3? A 2/10,000 B 2/1000 C 2/100 D 2/10

B

What is the sum of the shaded areas in the three circles above if each circle represents one unit? 5/8+1/6+3/7= A. 1 9/21 B. 1 15/42 C. 1 37/168 D. 1 205/336

C

Which of the following numbers can be represented on the number line between points P (5/8) and Q (6/8)? A 17/37 B 26/43 C 39/59 D 57/71

C

Grapefruits in a supermarket display are stacked in the shape of a pyramid. Each layer of the stack is square. The bottom layer is a square with 5 grapefruits on each side. The side of each successive layer is made shorter by one grapefruit. What is the total number of grapefruits that can be stacked? 15 35 54 55

D

Pat is baking a cake. The recipe calls for of 2 1/4 cups of flour per 1/2 pound of butter. If Pat uses 3 cups of flour, how much butter should be used to keep the proportion of ingredients equal? 1/6 pounds 1/4 pound 3/8 pound 2/3 pound

D

51. The range of hourly wages for 15 employees of a small company starts at $7.50 and ends at $21.40. If only one worker receives the median wage of $8.90, how many workers receive a higher hourly wage? A. 5 B. 6 C. 7 D. 8

c

A regular hexagon is made from equilateral triangle ABC by cutting along the dotted lines and removing the three smaller triangles. If triangle ABC has a perimeter of 18, what is the perimeter of the hexagon? A. 63 B. 9 C. 12 D. 15

c

Each of the numbers from 4 to 24 inclusive is written on a separate piece of paper and placed in a bag. If one of these pieces of paper is randomly selected from the bag, what is the probability that the number on it will be a prime number? 2/7 3/10 1/3 7/20

c

The figure above is rolled up and folded to make a cylinder of volume 10 cm3. Which of the following statements about the figure must be true? A. The area of the rectangular section, AR, is 10 cm2. B. The length of the rectangle, LR, is 5 cm2. C. The area of each circular section, A1 and A2, is 5 cm2. D. The sum of the areas of the circular sections, A1 + A2, equals 5 cm2.

c

The scale on a map is 1 inch = 15 miles. On the same map, the distance between Belmont and Smithville is 13 inches. Which of the following is the best estimate of how long it will take to drive from Belmont to Smithville at an average speed of 60 miles per hour? A. 2 hours 8 minutes B. 2 hours 14 minutes C. 3 hours 15 minutes D. 4 hours 0 minutes

c

Use the diagram below to answer the question that follows. y D (4,4) A (2,2) (6,2)B Given that figure ABCD is a parallelogram, what are the coordinates of point C? A. (4, 8) B. (6, 4) C. (8, 4) D. (12, 4)

c

Use the equation below to answer the question that follows. 3n + 2(n - 4) = n + 15 Which of the following equations could occur as a step in solving the equation above for n? A 4n = 19 B 4n = 7 C 4n = 23 D 6n = 7

c