Name:    Math Test_Various Problems 1

Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.

1.

Aaron’s class has collected 40 canned goods and plans to give them away equally to p families. Write an expression to show how many canned goods each of the families will receive.
 a. 40 + p c. 40p b. d. 40 – p

2.

Write two phrases for the expression.
t ¸ 29
 a. the quotient of t and 29t divided by 29 c. t subtracted from 29t less than 29 b. the product of t and 29t times 29 d. the quotient of 29 and t29 divided by t

3.

If Ramon's kite flew high enough to use 64 feet of string and Isabel's kite used 8 yards of string, whose kite used more string?
 a. Isabel's b. They used the same amount. c. Ramon's

Solve each equation. Check your solution.

4.

s – 2 = 49
 a. s = 52 c. s = 47 b. s = 51 d. s = 61

5.

6z = 24
 a. 4 c. 30 b. –4 d. 18

6.

Graph the solution to z > 1 on a number line.
 a. b. c. d. Complete the following using metric measurements.

7.

A small pebble weighs about ____.
 a. 20 g c. 20 L b. 20 kg d. 20 mL

8.

The gas tank in a car can hold 13.2 gallons of gas. If the car can go 366.3 miles without having to refuel, how many miles per gallon does the car get?
 a. 2.775 mi/gal c. 27.75 mi/gal b. 26 mi/gal d. 277.5 mi/gal

9.

You have a pitcher that holds 33.7 oz of lemonade. If each glass holds 9.3 oz, how many glasses can you completely fill?
 a. 3.62 glasses c. 5 glasses b. 4 glasses d. 3 glasses

10.

Solve.
x + 2.9 = 3.82
 a. x = 6.72 c. x = 0.99 b. x = 0.92 d. x = 0

11.

List all of the factors of 27.
 a. 3, 9 c. 1, 27 b. 1, 2, 3, 27 d. 1, 3, 9, 27

12.

Find the GCF of 72, 24, and 84.
 a. 12 c. 24 b. 2 d. 13

13.

The sixth-grade class has 18 boys and 12 girls. The teacher is dividing them into groups to work on a special project. How many groups will there be if all of the groups must have the same number of boys and the same number of girls?
 a. 6 c. 8 b. 12 d. 2

14.

Multiply the following fractions, and simplify if possible.  a. c. b. d. 15.

Each student needs a pencil and an eraser to take a test. If pencils come 6 to a box and erasers come 8 to a bag, what is the least number of boxes and bags needed for 24 students to each have a pencil and an eraser?
 a. 6 boxes of pencils,8 bags of erasers c. 4 boxes of pencils,3 bags of erasers b. 2 boxes of pencils,1 bags of erasers d. 3 boxes of pencils,4 bags of erasers

16.

Identify the correct ordered pair for the location of the warehouse on the grid below. a. (7, 4) c. (2, 3) b. (6, 4) d. (4, 6)

17.

Identify the correct ordered pair for the location of the home on the grid below. a. (2, 2) c. (5, 2) b. (8, 1) d. (2, 5)

Use the diagram to name each geometric figure. 18.

three points
 a. c. C, B, F b. A, C, E d. D, E, F

19.

a plane
 a. Plane ABC c. b. Plane CFG d. B, D, G

Use the diagram to name each geometric figure. 20.

two lines
 a. c. R, S, T b. d. 21.

What type of angle is the following: acute, right, obtuse, or straight? a. Acute angle c. Right angle b. Obtuse angle d. Straight angle

22.

Find the unknown angle measure. The angles are complementary. a. 58° c. 122° b. 68° d. 148°

23.

Find the unknown angle measure. The angles are vertical angles. a. 122° c. 58° b. 32° d. 116°

24.

Find the unknown angle measures. Angles ABD and CBF are congruent. a. k = 63°, l = 63° c. k = 54°, l = 54° b. k = 27°, l = 27° d. k = 18°, l = 18°

25.

The lines on a football field are ten yards apart, and they never intersect, as shown in the drawing. What type of lines are they? a. Parallel c. Intersecting b. Perpendicular d. Skew

26.

Sidewalks connecting buildings G, H, and J form a triangle. Two of the angles measure 32° and 78°. Classify the triangle.
 a. Obtuse triangle b. Acute triangle c. Right triangle

27.

Give the most descriptive name for the figure. a. Trapezoid c. Parallelogram b. Rectangle d. Rhombus

28.

Give the most descriptive name for the figure. a. Trapezoid c. Parallelogram b. Rectangle d. Rhombus

Complete the statement.

29.

A rectangle with four congruent sides can also be called a ____.
 a. square c. kite b. heptagon d. trapezoid

30.

A quadrilateral with only one set of parallel sides is also a ____.
 a. square c. trapezoid b. parallelogram d. nonagon

31.

The Iwasaki family has a garden in their backyard in the shape of the following figure. What is the sum of the angle measures in the polygon formed by the garden? a. 360° c. 600° b. 540° d. 720°

32.

Identify a possible pattern. Use the identified pattern to draw the next figure. a. Double the number of circles. c. Double the number of circles. b. Double the number of circles. d. Double the number of circles. 33.

Identify a possible pattern. Use the pattern to draw the missing figure. a. Each new segment is a unit longer than the preceding segment. c. Each new segment is a unit longer than the preceding segment. b. Each new segment is a unit longer than the preceding segment. d. Each new segment is a unit longer than the preceding segment. 34.

Tell whether the figures in the pair are congruent. If not, explain. a. These figures are congruent. b. These figures are not congruent because they are not the same size.

35.

Find all of the lines of symmetry in the polygon. a. c. b. d. 36.

Bars of soap come in packages of 6 and packages of 20. If the 6-bar pack costs \$7.86 and the 20-bar pack costs \$25, which is the better deal and what is the price per bar of the better deal?
 a. 6-pack at \$0.39 per bar c. 6-pack at \$1.31 per bar b. 20-pack at \$1.25 per bar d. 6-pack at \$1.25 at per bar

37.

What percent of the squares in the model below are shaded? a. 30 c. 70% b. 70 d. 30%

38.

Only a portion of the land on Earth is farmland capable of growing food. In a particular region, 4% of the land is farmland. Express the percent of farmland in the region as a fraction in simplest form.
 a. 0.04 c. b. d. 39.

Write the fraction as a percent.
 a. 20% c. 0.2% b. 2% d. 500%

40.

A teenager has a card collection with cards that were produced in different years. If there are 214 total cards in the collection and 35% of the cards were produced before 1980, how many cards were produced before 1980? Round your answer to the nearest whole number.
 a. 75 cards c. 7,500 cards b. 67 cards d. 612 cards

41.

Luisa wants to buy a necklace at a store. She is worried that the \$56 she has is not enough to pay for the necklace. The necklace has a list price of \$45.95, and the sales tax is 3%. What will be the approximate cost of the necklace after tax?
 a. \$1.38 c. \$47.38 b. \$44.62 d. \$57.68

42.

A bank offers a savings account that pays a simple interest rate of 7%. Sergio opens a savings account at this bank and deposits \$325 into the account. How much money should Sergio expect to be in this account after 5 years?
 a. \$113.75 c. \$438.75 b. \$211.25 d. \$11,700

43.

Give the coordinates of the following point. a. (–3, –4) c. (4, –3) b. (–4, –3) d. (–4, 3)

44.

Find the sum of 1 + (–6). a. 5 c. –6 b. 1 d. –5

45.

Solve the following equation. f = 9
 a. f = c. f = b. f = d. f = Matching

Match each of the following vocabulary words with its definition.
 a. obtuse triangle f. perpendicular lines b. parallel lines g. plane c. parallelogram h. point d. trapezoid i. polygon e. isosceles triangle

46.

a closed plane figure formed by three or more line segments that intersect only at their endpoints

47.

an exact location in space

Match each of the following vocabulary words with its definition.
 a. right triangle f. square b. isosceles triangle g. straight angle c. rotation h. supplementary angles d. scalene triangle i. complementary angles e. skew lines

48.

lines that lie in different planes that are neither parallel nor intersecting

49.

two angles whose measures have a sum of 180°

50.

a rectangle with four congruent sides