Meet 2 Team Test Solutions

FHMS Gold underperformed again! Only 4 of 10! Twenty minutes with 6 top math students. You must not be organized well. Figure out what's going wrong. Here's my guess. Somebody get's an answer and everyone assumes it's done correctly and no one else works on that one. Someone else needs to solve it and compare answers and discuss why they got different answers. People must be spending too much time on problems they can't do. Focus on what you can do. Give Lucy the co-ordinate geometry problems since she's had that course. Two people should work together on a problem. Discuss how you would solve it and once you have a plan, work on it independently and compare answers.

1. How many of the following five numbers are divisible by 45?
Well, to be divisible by 45 it must be divisible by 5 and 9. You know the tests for that.
Correct answers were submitted by Heritage Gold and Red, FHMS Red

2. A slug craws 3.7 meters in 5 minutes. That's 3700mm in 300 sec. or 37mm in 3 seconds
Correct answers were submitted by FHMS Gold and Red

3.When the smaller of two consecutive integers is added to four times the larger, the result is 79. What is the larger of the two integers? So let the smaller be n, so the larger is n+1. Now read that question and write it in an algebraic statement: n+4(n+1)=79. Hence n + 4n + 4 = 79 or 5n=75. Divide by 5 to get n=15. Now READ THE QUESTION. What is the larger? 16

Double check the answer. We think the integers are 15 and 16. when the smaller (15) is added to 4 times 16 (that's) 15 + 64 = 79. Yep, we figured it out! 

You could use the 5th grade method of trial and error. 9,10  9+40=49 nope not high enough. 14,15 14+4*15 = 74 ooh so close! 15,16 try it. It works!

No one got it right - FHMS Gold came up with 63.2 ? Really?

4. A square garden has sides of 1/4 (x+2) ft. The perimeter is 16. What's x?

    Perimeter is 16, so side is 4. 1/4 (x+2) = 4  Thus x+2 =16 or x = 14 ft.

Correct answers were submitted by FHMS Gold, Red and Alt, and Heritage Red. Come on Pretzel Sticks!

5. It takes 10 square tiles each with 4-foot sides to cover a floor. How many square tiles with sides 16 inches does it take for the same floor? 4 feet = 16 inches x 3 so it will take nine tiles to cover one big tile. Since it took 10 big tiles it's going to take 90 smaller tiles. 

FHMS Gold read inches as feet even though it was in bold print. FHMS Red forgot that if the tile is 3 times as long it is actually 9 times bigger. No one got this right.

6. Points M and N lie within rectangle ABCD with AM + DM = BN = CN = MN = 5.

If AB = 13 and BC = 6, what is the area of quadrilateral AMNB.

Draw the picture. Base is 13, top is 5 Height is half 6. So area is 3*(13+5)/2. =27.

No ISD197 team solved this.

7. Cake recipe 2.75 cups flour and ratio of 1:4 for sugar. Hence 2.75*4=11 cups sugar. But they want 2 cakes so 22 cups = 11 pints = 5.5 quarts.

Correct solutions by Heritage Gold, FHMS Gold and White. FHMS Red came up with 88 quarts!!

8. Start at (0,0) 1 left, 2 down, 3 right, 4 up, 5 left, 6 down etc Where are you at step 11?

First figure out the pattern total up the left and rights, then total the upas and downs.

FHMS Red was the only team of mine to get this right.

9. You have 31 one-dollar bills and 5 envelopes. You want to place the bills in the envelopes such that any amount from $1 to $31 could be obtained by selecting a combination of the envelopes. What's the total amount of money you would place in the envelope with the greatest number of bills?

Use the binary system to place 1, 2, 4, 8, 16 in the 5 envelopes. Read the question again.

None of my teams got this right.

10. Landon couldn't read the first digit. He thought it said 2x+4=28 He solved 2x=24 or x=12. But we're told the real answer is four less (hence 8) So m*8+4 =28 or 8m = 24 So m=3. So the real equation was 3x+4=28. Check your answer

Correct answers submitted by Heritage Gold, FHMS Gold and Red