Student Practice Test Booklet Grade 8 Mathematics

Student Name: __________________________________ School Name: ___________________________________

Mathematics—Session 1 (Non-Calculator) Answer questions 1 through 4 on page 2. ID:206249 AST04-three_lines_interes C Common

q

In the diagram below, lines r, s, and q intersect at one point. r s 1 2 3 4 30º 80º

q

What is the sum of the measures of ∠ 3 and ∠ 4? A. 90° B. 95° C. 100° D. 110°

ID:199751 8_1_22_boxes.eps D Common

w

Look at this pattern.

Figure 1

Figure 2

Figure 3

Figure 4

Which expression represents the number of boxes used to make Figure 99? A. B. C. D.

99 + 98 99 + 1 + 99 + 1 2 × 99 99 + (99 + 1)

1 NECAP_PT-2005_Grade-8_Math_F-1

ID:199752 8_1_28_bikes.eps C Common

ID:206345 NECAP8414-Histogram_icecr B Common

e

r

Four students rode to school on their bikes. The distance that each student traveled over time was graphed.

Shelby asked 15 friends to name their favorite ice-cream flavor. Ice-cream Favorites 10

Michelle 10 8 6 4 2 10 20 30 40 50 Time (in minutes)

8 6 4 2

B.

ho

Greg

C

Distance (in miles)

co

0

l M ate in tC St hi p ra w be rry Va ni lla O th er

Number of Friends

A.

Distance (in miles)

Which graph represents the student who rode fastest?

10 8 6 4 2

Ice-cream Flavor

If Shelby chooses one of her friends at random, what is the probability that this friend’s favorite flavor is either strawberry or vanilla?

10 20 30 40 50 Time (in minutes)

A. 1

D.

Distance (in miles)

C.

Distance (in miles)

3

Abby

B. 2 5

10 8 6 4 2

C. 8

15

D. 11 15

10 20 30 40 50 Time (in minutes)

Eddie 10 8 6 4 2 10 20 30 40 50 Time (in minutes)

2 NECAP_PT-2005_Grade-8_Math_F-1

Answer question 5 on page 2. ID:206318 Common

t

Andrea has $20 in her savings account. She will add $3 per week to her savings account for n weeks. Write an algebraic expression to show the total amount of money Andrea will have in her savings account after n weeks.

Answer question 6 on page 2. ID:199795 Common

y

Anna and Barb practiced serving a volleyball over the net. •

Anna served the ball over the net 18 out of 25 times.

•

Barb served the ball over the net 75% of the time.

Use fractions, decimals, or percents to show or explain which girl had the greater rate of success in serving the ball over the net.

Answer question 7 on page 2. ID:206241 Common

u

Sean and Barry are participating in a 30-mile bike race. Sean averages 20 miles per hour and Barry averages 15 miles per hour. How many miles will Barry be from the finish line when Sean finishes the race? Show your work or explain how you know.

3 NECAP_PT-2005_Grade-8_Math_F-1

DO NOT GO ON.

Mathematics—Session 2 (Calculator) Answer questions 8 through 11 on page 3. ID:206226 819_sneaker_advertisement D Common

ID:206308 LPW231-Alg_tiles.eps C Common

i

1)

Look at these advertisements.

Jump High Sneakers

Air Flight Sneakers

3 — 4 off

2 — 5 off

Walk a Mile Sneakers

Run Fast Sneakers

1 33 — 3 % off

40% off

Look at this model.

Which two sneakers have the same rate of discount? A. B. C. D.

Jump High and Run Fast Jump High and Walk a Mile Air Flight and Walk a Mile Air Flight and Run Fast Which expression is shown by the model? A. B. C. D.

ID:206220 B Common

o

Look at this table.

5x 3x 2 3x + 2 x3 + 2

Wins

Losses

Total Games

Birds

10

5

15

ID:226301 NECAP8118-Similar_triangl A Common

Mantas

15

5

20

1!

Sharks

12

12

24

Tigers

16

8

24

Team

Triangle QRS ~ triangle TUV. T

Q

A. B. C. D.

Birds Mantas Sharks Tigers

U

117º R

S

What is the measure of ∠Q and the measure of ∠S ? A. B. C. D. 4

NECAP_PT-2005_Grade-8_Math_F-1

30º

V

Which team has the greatest percent of wins?

m ∠Q m ∠Q m ∠Q m ∠Q

= = = =

33° 30° 30° 23°

and and and and

m ∠S m ∠S m ∠S m ∠S

= = = =

30° 30° 33° 30°

Answer question 12 on page 3. ID:206349 Common

[email protected]

Write four different numbers for which both of these statements are true. • •

The range is 8. The mean and median are the same number.

Answer question 13 on page 3. ID:226305 Common

f

A scientist recorded the growth of a certain bacteria in the table below.

Time Elapsed (in minutes)

Number of Bacteria

0

26

15

52

30

104

45

208

60

416

a. What is the number of bacteria when the time elapsed is 75 minutes? b. Explain the relationship between the time elapsed and the number of bacteria. c. What is the number of bacteria when the time elapsed is two hours? Show your work or explain how you know.

5 NECAP_PT-2005_Grade-8_Math_F-1

Student Name: __________________________________ School Name: ___________________________________

Mathematics—Session 1 (Non-Calculator) Answer questions 1 through 4 on page 2. ID:206249 AST04-three_lines_interes C Common

q

In the diagram below, lines r, s, and q intersect at one point. r s 1 2 3 4 30º 80º

q

What is the sum of the measures of ∠ 3 and ∠ 4? A. 90° B. 95° C. 100° D. 110°

ID:199751 8_1_22_boxes.eps D Common

w

Look at this pattern.

Figure 1

Figure 2

Figure 3

Figure 4

Which expression represents the number of boxes used to make Figure 99? A. B. C. D.

99 + 98 99 + 1 + 99 + 1 2 × 99 99 + (99 + 1)

1 NECAP_PT-2005_Grade-8_Math_F-1

ID:199752 8_1_28_bikes.eps C Common

ID:206345 NECAP8414-Histogram_icecr B Common

e

r

Four students rode to school on their bikes. The distance that each student traveled over time was graphed.

Shelby asked 15 friends to name their favorite ice-cream flavor. Ice-cream Favorites 10

Michelle 10 8 6 4 2 10 20 30 40 50 Time (in minutes)

8 6 4 2

B.

ho

Greg

C

Distance (in miles)

co

0

l M ate in tC St hi p ra w be rry Va ni lla O th er

Number of Friends

A.

Distance (in miles)

Which graph represents the student who rode fastest?

10 8 6 4 2

Ice-cream Flavor

If Shelby chooses one of her friends at random, what is the probability that this friend’s favorite flavor is either strawberry or vanilla?

10 20 30 40 50 Time (in minutes)

A. 1

D.

Distance (in miles)

C.

Distance (in miles)

3

Abby

B. 2 5

10 8 6 4 2

C. 8

15

D. 11 15

10 20 30 40 50 Time (in minutes)

Eddie 10 8 6 4 2 10 20 30 40 50 Time (in minutes)

2 NECAP_PT-2005_Grade-8_Math_F-1

Answer question 5 on page 2. ID:206318 Common

t

Andrea has $20 in her savings account. She will add $3 per week to her savings account for n weeks. Write an algebraic expression to show the total amount of money Andrea will have in her savings account after n weeks.

Answer question 6 on page 2. ID:199795 Common

y

Anna and Barb practiced serving a volleyball over the net. •

Anna served the ball over the net 18 out of 25 times.

•

Barb served the ball over the net 75% of the time.

Use fractions, decimals, or percents to show or explain which girl had the greater rate of success in serving the ball over the net.

Answer question 7 on page 2. ID:206241 Common

u

Sean and Barry are participating in a 30-mile bike race. Sean averages 20 miles per hour and Barry averages 15 miles per hour. How many miles will Barry be from the finish line when Sean finishes the race? Show your work or explain how you know.

3 NECAP_PT-2005_Grade-8_Math_F-1

DO NOT GO ON.

Mathematics—Session 2 (Calculator) Answer questions 8 through 11 on page 3. ID:206226 819_sneaker_advertisement D Common

ID:206308 LPW231-Alg_tiles.eps C Common

i

1)

Look at these advertisements.

Jump High Sneakers

Air Flight Sneakers

3 — 4 off

2 — 5 off

Walk a Mile Sneakers

Run Fast Sneakers

1 33 — 3 % off

40% off

Look at this model.

Which two sneakers have the same rate of discount? A. B. C. D.

Jump High and Run Fast Jump High and Walk a Mile Air Flight and Walk a Mile Air Flight and Run Fast Which expression is shown by the model? A. B. C. D.

ID:206220 B Common

o

Look at this table.

5x 3x 2 3x + 2 x3 + 2

Wins

Losses

Total Games

Birds

10

5

15

ID:226301 NECAP8118-Similar_triangl A Common

Mantas

15

5

20

1!

Sharks

12

12

24

Tigers

16

8

24

Team

Triangle QRS ~ triangle TUV. T

Q

A. B. C. D.

Birds Mantas Sharks Tigers

U

117º R

S

What is the measure of ∠Q and the measure of ∠S ? A. B. C. D. 4

NECAP_PT-2005_Grade-8_Math_F-1

30º

V

Which team has the greatest percent of wins?

m ∠Q m ∠Q m ∠Q m ∠Q

= = = =

33° 30° 30° 23°

and and and and

m ∠S m ∠S m ∠S m ∠S

= = = =

30° 30° 33° 30°

Answer question 12 on page 3. ID:206349 Common

[email protected]

Write four different numbers for which both of these statements are true. • •

The range is 8. The mean and median are the same number.

Answer question 13 on page 3. ID:226305 Common

f

A scientist recorded the growth of a certain bacteria in the table below.

Time Elapsed (in minutes)

Number of Bacteria

0

26

15

52

30

104

45

208

60

416

a. What is the number of bacteria when the time elapsed is 75 minutes? b. Explain the relationship between the time elapsed and the number of bacteria. c. What is the number of bacteria when the time elapsed is two hours? Show your work or explain how you know.

5 NECAP_PT-2005_Grade-8_Math_F-1