8th Grade Math 3rd Quarter Summative Test Review

1. Larry Plans to invest $375,000 for 30 years at an anticipated rate of 6% per annum

compounded yearly. What is the approximate difference in his ending balance if the

actual rate is 5% instead of 6%?

A. about $53,300

B. about $59,000

C. about $533,000

D. about $590,000

8.12D/8.1B

2.

8.7C

14 ft

10.5 ft

3. Which of the following accounts will earn the most interest?

A. $700 principal at 3% simple interest for 2 years

B. $400 principal at 1.5% simple interest for 10 years

C. $500 principal at 1% simple interest for 20 years

D. $800 principal at 4% simple interest for 2 years

8.12D/8.1A

4. How do the returns for simple interest and compound interest compare for the

same principal and interest rate?

F. The returns are the same for every year since the principal and rate are the same?

G. The returns are the same for the first year, but then the returns are greater for

compound interest every year after.

H. The returns are the same for the first year, but then the returns are greater for

simple interest every year after.

J. The return for compound interest is higher than for simple interest for every year.

8.12D/8.1A

5. Chad and Mia each open a savings account. Their interest rates and monthly

deposits are the same. Chad initially deposits $1,000 and Mia initially deposits $20.

Which statement correctly compares their accounts?

A. Chad’s account will grow more because his initial deposit is larger than Mia’s.

B. Their accounts will have the same balance because their monthly deposits are the

same.

C. Their account will have the same balance because the interest rates are the same.

D. Mia’s balance will grow more because she initially put in less money and so has

more room to grow.

8.12C/8.1G

6. Kim’s investment of $2,000 at 3% per annum is compounded yearly. The table

below shows the balance in her account over 4 years.

Year Balance

1 $2,060

2 $2,121.80

3 $2,185.45

4 $2,251.02

5 ?

What will Kim’s balance be in year 5?

F. $2,853.15

G. $2,251.58

H. $2,318.55

J. $2,381.55

8.12D/8.1A

7. Hannah invested $30,000 in a mutual fund that earns 8% interest compounded

annually. To the nearest dollar, how much was her investment worth after 3 years?

A. $37,791

B. $39,326

C. $41,300

D. $41,686

8.12D/8.1A

8.

8.7C

9. Anna has a mutual fund that compounds annually at 3.5% interest. Her principal

was $850 and her current balance is $1081.44. How many years has she had this fund?

A. 5

B. 6

C. 7

D. 8

8.12D/8.1C

Point J(-2, -4) and point K(2, 4) are located on the coordinate grid.

10. Nick has $650 to deposit into two different savings accounts.

●Nick will deposit $400 into Account I, which earns 3.5% simple interest.

● He will deposit $250 in Account II, which earns 31

4 % compound interest.

Nick will not make any additional deposits or withdrawals. Which amount is closest to

the total balance of these two accounts at the end of 2 years?

F. $672.13

G. $695.00

H. $694.25

J. $694.51

8.12D/8.1A

11. Gwendolyn placed a 12-foot ladder against the side of her house so that the base of the ladder was 3 feet from the base of the house, as shown in the diagram below.

Which measurement in feet is closest to d, the distance from the top of the ladder to the ground?

A. 12.4 ft

B. 9.0 ft

C. 11.6 ft

D. 9.5 ft 8.7C/8.1B

12 ft

12. The scatterplot below shows the relationship between the daily high temperature and the number of snow cones sold at a concession stand on that day.

Based on the scatterplot, approximately how many snow cones will be sold on a day when the high temperature is 92°F?

F. 63

G. 100

H. 49

J. 83 8.5D/8.1C

13.

8.7C/8.1B

45 cm 19 cm

14. A spherical ball has a diameter of 12 centimeters. Which is closest to the volume of the ball?

F) 524 cm 3

G) 904 cm 3

H) 4189 cm 3

J) 151 cm 3 8.7A

15. Katy just bought a new candle.

About how many cubic centimeters is the volume of the candle?

A) 863.5 cm.3

B) 55 cm.3

C) 154.2 cm.3

D) 484 cm.3

8.6A/8.1D

5 cm.

16.

8.6A/8.1D

17. The diagram of a cone is shown below.

Determine the volume of this cone.

A) 150.72 cm3

B) 100.48 cm3

C) 48.68 cm3

D) 301.44 cm3

8.7A/8.1C

F.

G.

H.

J.

7 cm 6 cm

8 cm

18. Approximately what is the volume of this composite solid figure

represented in the drawing?

F. 292 cm3

G. 195 cm3

H. 320 cm3

J. 283 cm3 8.7A/8.1F

9 cm

8.7B/8.1C

20.

8.7B/8.1A

19.

A

) B

) C

) D

)

21. Look at the cylinder shown below.

What is the total surface area of this cylinder?

A) 857.22 ft2

B) 1164.94 ft2

C) 1077.02 ft2

D) 3001.84 ft2

8.7B/8.1F

17.5 feet

22. Which of the following pairs of triangles is similar?

F)

G)

H)

J)

8.8D/8.1B

90o 90o 41o 49o

64o

23o

60o

37o

90o 45o 90o 50o

18o

66o

27o

49o

23. Tasty Treats keeps track of their profits each day compared to the temperature on that day.

If the trend continues, approximately how much profit should Tasty Treats expect to earn on a day that is 95°F?

A. $450

B. $300

C. $650

D. $250 8.5D-R/8.1F

24. In the given coordinate plane, determine the distance between points A and B.

8.7D-S/8.1B

25.

3.2 in.

9.6 in.