Practice Test: Math

A local Brownie troop uses the model y=2x-25 to calculate the money earned in a bake sale, where x is the number of cookies sold. If the troop sold 75 cookies, how much did the troop earn?

$125

Divide 6.2 by 0.05.

124

Which of the following sets of numbers is not an interior followed by its square?

6, 32

A card is drawn from a standard deck of cards, what is the probability that the card is a queen or a black four?

6/52

Which of the following is equivalent to 17(64 + 8²) - 4³ ?

64 X 33

An example of a prime number is

67

Use the figure below to answer the question that follows Which formula can be used to find the area of the triangle?

A= (l X h)/2

What measurement principle do children in Pre-K through kindergarten sometimes have difficulty with?

Conservation

Word Problem: Tripti has 10 apples and 20 oranges. Trait's mother doubles the total number of apples and oranges she has. Meanwhile, Gahn's mother gives Gahn twice as many apples and twice as many oranges as Tripti started with. A Teacher creates the word problem shown above for a math lesson. Based on the word problem, the lesson will most likely cover which of the following mathematical properties?

Distributive property

An isosceles triangle is a pylon with two equal sides. What else does this imply?

It has two equal angles

Identify the next logical pattern of shapes that comes in this sequence: 00+00++00+++00...

++++

Perform the indicated operation: (-36) - 11

- 47

Which of the following numbers cannot be used to express probability?

-0.004

For what value of x is the expression (5/x) undefined?

0

How many lines of symmetry does a figure of a lightning bolt have?

0

Jamie rolls a pair of 6 sided dice hoping to get an odd number. What is the probability that the sum of the dice will show an odd number?

0.5

Two fair-sided coins are tossed at the same time. What is the probability that only one head is obtained in each of the tosses?

0.5

A pair of 6-sided dice is rolled. What is the probability the sum of the dice is less than 13?

1

Solve the following problem. Express the answer as a mixed number. 1.6 - 3/8 =

1 9/40

Simplify: 6 x 2 +3 / 3.

13

Dan and Stacy live on a farm where they are no longer allowed to let their cattle roam free. The need to add a fence around their land, which has a rectangular shape of 223 ft X 467 ft. How many feet of fence do they need to buy in order to fence in all of their land?

1,380 ft.

Multiply 3/4 by 2/3. Show your answer in simplified form.

1/2

Two paper bags are each filled with four blue marbles and four red marbles. What is the probability of selecting a blue marble from the first bag and a blue marble from the second bag?

1/4

If a can weighs 14 oz., how many cans would you need to have a ton? (Round your answer to the nearest ones place and pick the best answer.)

2286

There are 16 more apples than oranges in a basket of 62 apples and oranges. How many oranges are in the basket?

23

What is the mode of the following data set? 4, 12, 3, 15, 8, 3, 9, 9, 8, 10, 12, 14, 3, 2.

3

Given that the radius of the circle is 6 units and that the circle is inscribed in the square, which of the following is the approximate area of the shaded region?

31 square units

Which of the following is an expression that represents the following statement: there times one-half of a number less eighty percent?

3X (x/2) - 0.8

Simplify to a single term in scientific notation: (2 X 10)³ X (6 X 10⁴)

4.8 X 10⁸

What is another way to write 4X4X4?

4³

The main advantage of using hands-on activities in mathematics is to

lead the students to active learning and guide them to construct their own knowledge.

Valerie has a bathtub that she needs to fill with water. To fill the tub, she first needs to fill a bucket with water and then dump this into the bathtub. If the bucket is a cylinder with a radius of 6 inches and a height of 12 inches, how many buckets will it take to fill the 5 ft. X 3 ft. X 3 ft. tub?

57 buckets

How many faces does a cube have?

6

Which of the following were the first mathematicians to impact the development of modern-day mathematics?

Egyptians and Babylonians

What is the formula for the relationship between the number of faces, vertices, and edges of a cube?

F + V = E + 2

In each of the figures shown above, made up of circles, rectangles, triangles, and parallelograms, the shaded area represents a region in which flowers will be planted costing $2.50 per square foot. Which of them costs under $300 to plant the flowers? Select all that apply.

Figure A Figure D Figure E

Students in Ms. Lopez's class are solving this problem by the discovery method: A sheet of paper 16 by 30 has squares pf side x cut out front he corners as shown in the diagram below. The paper is folded on the dotted line to create a rectangular solid. The volume of the slid is V= x(30 -2x)(16 -2x). Which of the following activity is most effective in helping students understand how length, width, and height contribute to the volume of a rectangular solid?

Have students cut out squares of various sizes, bend up the sides, and determine the volume of the resulting shape.

In Ms. Leals class, there are 18 blondes, 17 brunettes, and 5 redheads. Rodrigo is asked to determine the probability of Ms. Leal randomly selecting a redhead from her class to answer a question. His answer is 8. Which of the following best describes how Rodrigo went wrong in finding the solution?

He divided 40 by 5

Which of the following is not a critical step to take to solving a problem?

Make a diagram of the problem situation.

Which of the following statements best represents the value of manipulatives as part of an instructional strategy? A. Manipulatives are more appropriate for students at the preoperational stage of cognitive development.

Manipulatives can be used to teach mathematics in grades Pre-K to high school.

The concept of the zero evolved in India but was also developed, disconnectedly, by the

Mayans

Which of the following would be the best set of units to use when measuring a football field?

Meters

In the problem, 5 + 6 x 3/2, what is the first operation which should be performed according to the order of operations?

Multiply

Carlos wants to bring cookies for each student in his entire elementary school. He knows there are 800 students in the school. His teacher asks him to make sure he buys enough bags to carry all of the cookies, assuming each bag can hold 38 cookies. Carlos goes to the store and buys 20 bags, then brings the cookies to school the next day. He finds out that he doesn't have enough cookies for all the students at the school. Which of the following is Carlos most likely to have done to obtain the incorrect number of bags?

Rounded 38 to 40

Mr. Anderson tells his class that in a two week period, including weekends and holidays, Max spends $71.47 on lunch. Two students in Mr. Andersons class, Dave and John, are asked to state the appropriate average value Max spends on lunch over this time. Dave says Max spent $4.50 on average per day. John says Max spent $5 on average. What concept needs to be addressed further in Mr. Andersons class?

Rounding

While students in the sixth grade class word in small groups on an ungraded discovery activity involving linear functions, the teacher circulated through the class asking individual students questions such as, "Why did you choose to assign the heigh variable to the vertical axis?" and "What happens to the graph if you use different-sized cups for the experiment?" Based on the scenario, which of the following is a primary purpose of these questions?

To gauge student progress in developing conceptual understanding in a way that will not penalize the student.

Which of these numbers or number representations are irrational numbers?

π √2 e ≈ 2.71828182845...