[PDF] MATH CHALLENGE TOURNAMENT 2015 Team Challenge – Grade 5





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MATH CHALLENGE TOURNAMENT 2015 Team Challenge – Grade 5

A semicircle rests atop a 12 cm by 6 cm rectangle. Two quarter-circles each with radius 6 cm are removed from the bottom corners of the rectangle. Find.



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Division Q - Grade 5 - Team test Division Q - Grade 5 - Team test

MATH CHALLENGE TOURNAMENT 2015

Team Challenge - Grade 5

Sponsored By Ellipsis Academy

Team#:_________

School: _______________________________________

Team Challenge - Round 1 (5 minutes)

Each question needs a short answer and will be scored as

10 points for a correct answer

3 points for a blank answer

No point for an incorrect answer.

WRITE YOUR TEAM ANSWER IN THIS BOOKLET.

SUBMIT ONLY ONE TEST PER TEAM.

Team Challenge - Round 1 (5 minutes)

Answers Score

1. How many digits do you need to write

when you are writing all the numbers from 1 to 100 inclusive? 1.

2. What is the smaller angle,

in degrees, formed by the hands of an analog clock at 9:10? 2.

3. A semicircle rests atop a 12 cm by 6 cm

rectangle. Two quarter-circles, each with radius 6 cm are removed from the bottom corners of the rectangle. Find the area, in cm², of the shaded region. 3.

4. Abby, Blake, and Will each add the

lengths of two sides of the same triangle correctly. They get 27 inches, 35 inches, and 32 inches, respectively. Find the perimeter of the triangle, in inches. 4. SCORE

FINAL SCORE:

Division Q - Grade 5 - Team test Division Q - Grade 5 - Team test

Team Challenge - Round 1 (5 minutes) KEY

Answers Score

1. How many digits do you need to write

when you are writing all the numbers from 1 to 100 inclusive?

1. 192

2. What is the smaller angle,

in degrees, formed by the hands of an analog clock at 9:10? or

145 [degrees]

3. A semicircle rests atop a 12 cm by 6 cm

rectangle. Two quarter-circles, each with radius 6 cm are removed from the bottom corners of the rectangle. Find the area, in cm², of the shaded region.

3. 72 [cm²]

4. Abby, Blake, and Will each add the

lengths of two sides of the same triangle correctly. They get 27 inches, 35 inches, and 32 inches, respectively. Find the perimeter of the triangle, in inches.

4. 47 [inches]

SCORE Division Q - Grade 5 - Team test Division Q - Grade 5 - Team test

MATH CHALLENGE TOURNAMENT 2015

Team Challenge - Grade 5

Sponsored By Ellipsis Academy

Team#:________

School: _______________________________________

Team Challenge - Round 2 (5 minutes)

Each question needs a short answer and will be scored as

10 points for a correct answer

3 points for a blank answer

No point for an incorrect answer.

WRITE YOUR TEAM ANSWER IN THIS BOOKLET.

SUBMIT ONLY ONE TEST PER TEAM.

Team Challenge - Round 2 (5 minutes)

Answers Score

1. Stanley looks at the first and fourth

pages of a chapter in his book. The sum of their page numbers is 47. On what page does the chapter begin? 1.

2. An ant walked around

the circumference of a circle ten times. It traveled a total of 120ߨ many square inches are in the area of this circle? Express your answer in terms of ߨ 2.

3. Simplify the expression:

3.

4. The consecutive odd numbers are

arranged in rows as shown below. Each row has one more number than the previous one. Find the sum of all ten numbers in the tenth row. 1 3 5

7 9 11

13 15 17 19

4. SCORE

FINAL SCORE:

Division Q - Grade 5 - Team test Division Q - Grade 5 - Team test

Team Challenge - Round 2 (5 minutes) KEY

Answers Score

1. Stanley looks at the first and fourth

pages of a chapter in his book. The sum of their page numbers is 47. On what page does the chapter begin? 1. 22

2. An ant walked around

the circumference of a circle ten times. It traveled a total of 120ߨ many square inches are in the area of this circle? Express your answer in terms of ߨ

2. 36 ߨ

3. Simplify the expression:

଼ or

4. The consecutive odd numbers are

arranged in rows as shown below. Each row has one more number than the previous one. Find the sum of all ten numbers in the tenth row. 1 3 5

7 9 11

13 15 17 19

4. 1000

[the sum of each row is the cube of that row number]; the tenth row has this sum:

10³=1000

SCORE Division Q - Grade 5 - Team test Division Q - Grade 5 - Team test

MATH CHALLENGE TOURNAMENT 2015

Team Challenge - Grade 5

Sponsored By Ellipsis Academy

Team#:__________

School: _______________________________________

Team Challenge - Round 3 (5 minutes)

Each question needs a short answer and will be scored as

10 points for a correct answer

3 points for a blank answer

No point for an incorrect answer.

WRITE YOUR TEAM ANSWER IN THIS BOOKLET.

SUBMIT ONLY ONE TEST PER TEAM.

Team Challenge - Round 3 (5 minutes)

Answers Score

1. Two 9 cm × 9 cm squares overlap to

form a 9 cm × 13 cm rectangle, as shown. What is the area of the region where the two squares overlap? 1.

2. One light flashes every 2 minutes and

another light flashes every 3.5 minutes. If both lights flash together at noon, what is the first time after 1 p.m. that both lights will flash together? 2.

3. A train is traveling from Redmond to

Red town. Red town is exactly 12

miles from Redmond.

If it leaves Redmond at

6:30 p.m. and travels

at a constant rate of

45 miles per hour, at

what time will it arrive at Red town? 3.

4. Keisha and Fatima had 600 seashells.

଻ of her seashells and Fatima threw away 120 of her seashells, they had the same number of seashells left. How many seashells did they have left? 4. SCORE

FINAL SCORE:

Division Q - Grade 5 - Team test Division Q - Grade 5 - Team test

Team Challenge - Round 3 (5 minutes) KEY

Answers Score

1. Two 9 cm × 9 cm squares overlap to

form a 9 cm × 13 cm rectangle, as shown. What is the area of the region where the two squares overlap?

1. 45 [cm²]

2. One light flashes every 2 minutes and

another light flashes every 3.5 minutes. If both lights flash together at noon, what is the first time after 1 p.m. that both lights will flash together?

2. 1:10 p.m.

3. A train is traveling from Redmond to

Red town. Red town is exactly 12

miles from Redmond.

If it leaves Redmond at

6:30 p.m. and travels

at a constant rate of

45 miles per hour, at

what time will it arrive at Red town?

3. 6:46 p.m.

4. Keisha and Fatima had 600 seashells.

଻ of her seashells and Fatima threw away 120 of her seashells, they had the same number of seashells left. How many seashells did they have left?

4. 400

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