Grade 11 Mathematics Practice Test, Summaries of Mathematics

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Grade 11

Mathematics

Practice Test

Nebraska Department of Education 2010

Directions:

On the following pages are multiple-choice questions for the Grade 11 Practice

Test, a practice opportunity for the Nebraska State Accountability–Mathematics

(NeSA–M).

Each question will ask you to select an answer from among four choices.

For all questions:

• Read each question carefully and choose the best answer.
• You may use scratch paper to solve the problems.
• The Mathematics Reference Sheet is provided in the back of the test

booklet. You may refer to this page any time during the test.

• You may not use a calculator on this test.
• Be sure to answer ALL the questions.

Remember only one of the answers provided is the correct response.

NEG11MathPTPaper (^2) STOP.

4. Use the graphs below to answer the question.

x

y 5 4 3 2 1

–5 –4 –3 –2 –1^0 12 3 4

r

x

y 5 4 3 2 1

–5 –4 –3 –2 –1^0 12 3 4

s

x

y 5 4 3 2 1

–5 –4 –3 –2 –1^0 12 3 4

t

x

y 5 4 3 2 1

–5 –4 –3 –2 –1^0 12 3 4

u

Which line shows a negative slope? A. r B. s C. t D. u

NEG11MathPTPaper (^4) Go on to the next page.

5. Use the figure below to answer the question.

D

10 in.

A

B C

ABC is equilateral and each side measures 10 inches (in.). Segment DC is equal to 5 in. What is the length of AD? A. 5 2 in. B. 5 3 in. C. (^10) 2 in. D. 10 3 in.

6. (^) What is the simplest form of the expression^2 x

(^2)  16 x  14 x^2  1

A. 2  x ^7   x  1 

B. ^2 x ^2  x ^7   x  1  x  1 

C. 2  x ^7   x  1 

D. 2  x ^1  x ^7   x  1  x  1 

NEG11MathPTPaper (^5) Go on to the next page.

9. Use the table below to answer the question. School Population By Gender Males Females Total Freshman 8 17 25 Sophomores 15 10 25 Juniors 12 13 25 Seniors 15 10 25 Total 50 50 100 In a school of 100 students, what is the probability of randomly selecting a student that is either a female or a senior? A. 10010

B. 10025

C. 10060

D. 10065

10. The vertices of ABC are A (0, 0), B (6, 0), and C (3, 7). What type of triangle is ABC?

A. acute isosceles triangle B. acute scalene triangle C. right isosceles triangle D. right scalene triangle

NEG11MathPTPaper (^7) Go on to the next page.

11. Which statement is true for a line that passes through points (–2, 4) and (3, 4)?

A. The line has a negative slope. B. The line has a positive slope. C. The line has an undefined slope. D. The line has a zero slope.

12. Use the figure below to answer the question.

B

D E

C

A

In ABC, DE is parallel to BC. The measure of A is 60° and the measure of DEC is 125°. What is the measure of B? A. 55° B. 60° C. 65° D. 70°

NEG11MathPTPaper (^8) Go on to the next page.

15. Given the linear equation y =^23 x + 2, which table of values represents this equation?

A. (^) x 0 2 4

y − 0 3 B. (^) x 2 5 4

y 0 2 3 C. (^) x 0 0 6

y − 2 6 D. (^) x − − 2

y − − 0

16. What is the y -intercept of the line that contains the points (3, 3) and (6,  1)?

A. 5 B. 6 C. 7 D. 8

NEG11MathPTPaper (^10) Go on to the next page.

17. The coordinates of the vertices for rectangle ABCD are A (2, 4), B (6, 10), C (9, 8) and D (5, 2). What is the length of a diagonal (AC^ or BD) of the rectangle? A.  13 B. (^)  52 C.  60 D.  65
18. Use the frequency table below to answer the question.

Interval 70- 75- 80- 85- 90- 95-

Frequency

Frequency Table

The frequency table shows the test scores for each interval. What effect would dropping the two scores in the 70-74 interval have on the mean and standard deviation? A. both the mean and standard deviation increase B. both the mean and standard deviation decrease C. the mean increases, but the standard deviation decreases D. the mean decreases, but the standard deviation increases

NEG11MathPTPaper (^11) Go on to the next page.

21. An item sells for $20 per kilogram. What is the cost in cents per gram for this item?

A. 0.02 cents per gram B. 0.2 cents per gram C. 2 cents per gram D. 20 cents per gram

22. Nine tiles numbered 1 through 9 are placed in a bag. A tile is randomly drawn and replaced. Then a second tile is randomly drawn. What is the probability the first tile drawn and the second tile drawn are both even numbers? A. 818

B. (^1681)

C. (^2081)

D. (^2581)

23. (^) John found the length of one side of a square to be 40 inches. Which is closest to the length of the side of the square? A. about 6 inches B. about 7 inches C. about 10 inches D. about 20 inches

NEG11MathPTPaper (^13) Go on to the next page.

24. Line l and line k are perpendicular. Line l has a slope of 3. Line k contains the points (5, 8) and (2, y ). What is the value of y? A. – B. 7 C. 9 D. 17

NEG11MathPTPaper (^14) STOP.

NeSA-M High School Reference Sheet

Slope-Intercept Form:

Standard or General Form:

Point-Slope Form:

y = mx + b

y – y 1 = m ( x – x 1 )

Ax + By = C

Linear Equation Forms Coordinate Geometry

Midpoint between two points:

Slope of line through two points:

Given: Points A ( x 1 , y 1 ), B ( x 2 , y 2 )

( 2^ , 2 )

x 2 + x 1 y 2 + y 1 Midpoint of AB = m = y x^22 – –^ yx^11

Distance between two points: AB = ( x 2 –^ x 1 )^2 + ( y 2 –^ y 1 )^2

Equation of a Circle

( h , k ) = center r = radius

( x – h )^2 + ( y – k )^2 = r^2

Quadratic Formula

ax^2 + bx + c = 0

x = –b ± √ b

(^2) – 4 ac 2 a

1 foot (ft) = 12 inches (in.) 1 yard (yd) = 3 feet (ft) = 36 inches (in.) 1 mile (mi) = 1,760 yards (yd) = 5,280 feet (ft)

1 centimeter (cm) = 10 millimeters (mm) 1 meter (m) = 100 centimeters (cm) 1 kilometer (km) = 1,000 meters (m)

1 square foot (sq. ft) = 144 square inches (sq. in.) 1 square yard (sq. yd) = 9 square feet (sq. ft)

1 cup = 8 fluid ounces (fl oz) 1 pint (pt) = 2 cups 1 quart (qt) = 2 pints (pt) 1 gallon (gal.) = 4 quarts (qt)

1 liter (l) = 1,000 milliliters (ml) 1 liter (l) = 1,000 cubic centimeters (cu. cm) 1 kiloliter (kl) = 1,000 liters (l)

Conversions – Length

Conversions – Area

Conversions – Volume

Standard Units Metric Units

Conversions – Capacity

Conversions – Weight/Mass

1 cubic yard (cu. yd) = 27 cubic feet (cu. ft) 1 cubic foot (cu. ft) = 1,728 cubic in. (cu. in.)

1 pound (lb) = 16 ounces (oz) 1 ton = 2,000 pounds (lb)

1 gram (g) = 1,000 milligrams (mg) 1 kilogram (kg) = 1,000 grams (g)

Number Key 1 C 2 B 3 D 4 B 5 B 6 A 7 D 8 B 9 D 10 A 11 D 12 C 13 B 14 D 15 A 16 C 17 D 18 C 19 A 20 B 21 C 22 B 23 A 24 C

Grade 11 Practice Test

Answer Key