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Final Copy Grade 8 Midterm Exam Math January 2011.pdf

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ANSWER SHEET<br />

Selected Response<br />

<strong>Grade</strong> 8 <strong>Math</strong>ematics<br />

PJHS<br />

<strong>January</strong> 2011<br />

Name: ______________________________<br />

1 19<br />

2 20<br />

3 21<br />

4 22<br />

5 23<br />

6 24<br />

7 25<br />

8 26<br />

9 27<br />

10 28<br />

11 29<br />

12 30<br />

13<br />

14<br />

15<br />

16<br />

17<br />

18<br />

You will need a<br />

pencil/eraser for this<br />

section. You are<br />

permitted to use any<br />

math manipulatives<br />

that your teacher has<br />

used with you this year.


<strong>Grade</strong> 8 <strong>Math</strong> <strong>Midterm</strong> 2011<br />

1. The area of a square block of land is 64 m 2 . What is the length, in m, of each side of the<br />

block of land?<br />

A) 4<br />

B) 8<br />

C) 16<br />

D) 32<br />

2. Which selection could possibly be the number of factors in the list of factors for a perfect<br />

square number?<br />

A) 64<br />

B) 90<br />

C) 171<br />

D) 308<br />

3. What is the perimeter of a square, in cm, that has an area of 144 cm 2 ?<br />

A) 36<br />

B) 48<br />

C) 72<br />

D) 576<br />

4. Which expression is equivalent to √16 + √9 ?<br />

A) 5<br />

B) 7<br />

C) 11<br />

D) 12.5<br />

5. Which integer is closest to √62?<br />

A) 7<br />

B) 8<br />

C) 31<br />

D) 62<br />

1


<strong>Grade</strong> 8 <strong>Math</strong> <strong>Midterm</strong> 2011<br />

6. The teacher wants you to estimate√67. Which two numbers should you use to help<br />

determine the estimate?<br />

A) 6 and 7<br />

B) 8 and 9<br />

C) 64 and 81<br />

D) 66 and 68<br />

7. √ is between 7 and 8. What number is NOT a possibility for A??<br />

A) 50<br />

B) 55<br />

C) 60<br />

D) 65<br />

8. The sides of a square measure 4.5 m each. What would be the best estimate, in m 2 , of the<br />

area of the square?<br />

A) 9<br />

B) 18<br />

C) 20<br />

D) 45<br />

9. Which statement is true if the square root of a number is between 36 and 49?<br />

A) The number is less than 6.<br />

B) The number is not between 6 and 7.<br />

C) The number is less than 7.<br />

D) The number is between 36 and 49.<br />

10. What is the best description of ÷ ?<br />

A) equal to 0<br />

B) equal to 1<br />

C) less than 1<br />

D) greater than 1<br />

2


<strong>Grade</strong> 8 <strong>Math</strong> <strong>Midterm</strong> 2011<br />

11. What is the value of + <br />

A)<br />

B)<br />

C)<br />

D)<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

12. Students in the grade 8 class at Presentation Junior High all tried to climb a 6 meter rope<br />

to the top of the gym ceiling. The best student in the class made it of the way up the rope.<br />

<br />

How far, in meters, from the ceiling did the best student get?<br />

A)<br />

<br />

<br />

B) 2 <br />

C) 3 <br />

D) 5 <br />

13. After a school party there is one-quarter of the 5 pizzas left. Mr. Hillier, Mr. Wall, and Mrs.<br />

Flynn decide to share the remaining pizza evenly. What fraction of the original 5 pizzas did<br />

each teacher get?<br />

A)<br />

B)<br />

C)<br />

D)<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

3


<strong>Grade</strong> 8 <strong>Math</strong> <strong>Midterm</strong> 2011<br />

14. Of the 24 students in a class, have gone to the dentist. One-quarter of the students that<br />

<br />

have gone to the dentist need fillings. How many students need fillings?<br />

A) 4<br />

B) 5<br />

C) 6<br />

D) 20<br />

15. What is the value of 1 + 6−2?<br />

A) -14<br />

B) -11<br />

C) 5<br />

D) 14<br />

16. The temperature on August 10 th is 20 o C. There is a heat wave for 4 days which causes the<br />

temperature to increase 3 C per day. What is the temperature, in Celsius, 4 days later?<br />

o<br />

A) 13 <br />

B) 23 <br />

C) 24<br />

D) 34<br />

17. One week John and his four friends charged a total of $15, $8, $7, $14, and $6 at the diner.<br />

When they went to pay the bill the owner of the diner gave them a ten dollar discount for<br />

being loyal customers. How much does each person pay, in dollars, if they split the bill<br />

equally?<br />

A) 8<br />

B) 10<br />

C) 40<br />

D) 50<br />

4


<strong>Grade</strong> 8 <strong>Math</strong> <strong>Midterm</strong> 2011<br />

18. Alan entered a pool tournament. He would get $2 for every game he won, and lose $1 when<br />

he didn’t win. The first day he won 5 games and lost nine. The second day he won 3 games<br />

and lost one. If Alan started the tournament with $6 how much money, , in dollars, does he<br />

have after the second day?<br />

A) -12<br />

B) -4<br />

C) 4<br />

D) 12<br />

19. What is the area, in cm 2 , of square A?<br />

A) 8<br />

B) 64<br />

C) 264<br />

D) 16400<br />

20. What is the value of in this right triangle?<br />

A) 2<br />

B) 4<br />

C) 6<br />

D) 8<br />

21. What is the approximate value of x?<br />

A) 7<br />

B) 10.2<br />

C) 11<br />

D) 11.7<br />

5


<strong>Grade</strong> 8 <strong>Math</strong> <strong>Midterm</strong> 2011<br />

22. Which set cannot be the sides of a right triangle?<br />

A) 3, 4, 5<br />

B) 5, 12, 13<br />

C) 6, 8, 10<br />

D) 6, 12, 18<br />

23. What is the name of this object?<br />

A) Rectangular Prism<br />

B) Rectangular Pyramid<br />

C) Square Prism<br />

D) Rectangular Pyramid<br />

24. Which is not a valid net for a cylinder?<br />

A)<br />

B)<br />

C)<br />

D)<br />

6


<strong>Grade</strong> 8 <strong>Math</strong> <strong>Midterm</strong> 2011<br />

25. A can of evaporated milk has a diameter of 8 cm, and a height of 10 cm. What is the<br />

approximate surface area of the label, in cm 2 , that goes around the can? Use ≅ 3 for this<br />

question.<br />

A) 240<br />

B) 336<br />

C) 480<br />

D) 824<br />

26. A rectangular prism has a length of 4 m, a width of 4 m, and a height of 4 m. m What is the<br />

surface area, in m 2 , of this prism?<br />

A) 12<br />

B) 24<br />

C) 64<br />

D) 96<br />

27. What is the combined area, in km 2 , of the rectangular faces of this object?<br />

A) 12<br />

B) 24<br />

C) 35<br />

D) 84<br />

28. A sporting goods store sells tents that are mesh on all sides except the floor. What is the<br />

surface area, in m 2 , of the mesh used to make this tent?<br />

A) 10.4<br />

B) 14.4<br />

C) 16.4<br />

D) 17.2<br />

7


<strong>Grade</strong> 8 <strong>Math</strong> <strong>Midterm</strong> 2011<br />

29. What is the volume of the tent, in , used in Question 28?<br />

A) 1<br />

B) 2<br />

C) 3<br />

D) 1.4<br />

30. An aquarium, (rectangular prism) has a volume of 300 . Which of the following cannot<br />

be the measurements of the aquarium?<br />

A) 3 × 7 × 14 <br />

B) 3 × 5 × 20 <br />

C) 5 × 5 × 12 <br />

D) 5 × 6 × 10 <br />

8


<strong>Grade</strong> 8 <strong>Math</strong> <strong>Midterm</strong> 2011<br />

20<br />

NAME: ____________________________________<br />

<strong>Grade</strong> 8 <strong>Math</strong>ematics<br />

Midyear <strong>Exam</strong>ination<br />

<strong>January</strong> 2011<br />

You will need a pencil/eraser for this section. You are permitted to use any math<br />

manipulatives that your teacher has used with you this year.


<strong>Grade</strong> 8 <strong>Math</strong> <strong>Midterm</strong> 2011<br />

1. A) Using a method of your choice explain why 25 is a perfect square but 26 is not. [2 marks]<br />

B) Show how you can estimate the square root of 90 without using a calculator. [2 marks]<br />

2. A) Use a model of your choice to solve [2 marks]<br />

B) Use a model of your choice to solve [2 marks]


<strong>Grade</strong> 8 <strong>Math</strong> <strong>Midterm</strong> 2011<br />

3. Janelle was asked to evaluate and her answer is shown below.<br />

Is her answer correct? Explain why or why not.<br />

[4 marks]<br />

=<br />

=<br />

4. A) Draw and label the 3 dimensional object that corresponds to the net. [2 marks]<br />

B) A triangular prism has a base area of 100 cm 2 and a volume of 250 cm 3 . What is the height<br />

of the triangular prism?<br />

[2 marks]


<strong>Grade</strong> 8 <strong>Math</strong> <strong>Midterm</strong> 2011<br />

8. A) Andrew says the triangle shown is a right triangle. Lois says that it is not. Who is correct?<br />

Explain your reasoning.<br />

[2 marks]<br />

B) The area of each square is 36cm 2 . Use this information to find the length of . Round your<br />

answer to 1 decimal place.<br />

[2 marks]

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