My school is making the students take a test that compares us with all the other schools in our area. It includes mental mathematics, number sense, reasoning etc.(adsbygoogle = window.adsbygoogle || []).push({});

Unfortunately, I forgot a lot of the way to solve these things and a few are 'trick' questions.

I need help on the ones I am unsure of or have no clue how to do. I'm hoping some of you may choose to do 1 or 2 and tell me if I'm right or wrong?

This test decides whether I graduate High School or not. I've got the English part down pretty well...but not the math. I assure you I did ask the teacher for help, but I was not finished with the assignment, so I need help on the ones I have just finished.

Here are the questions I need help on from my prep worksheet:

Square ABCD has all four of its vertices on a circle with diameter 10 units in length. Segments AC and BD are diameters. How many square units of area does ABCD have?

My answer: 14.14 units squared. I came to this conclusion because the 2 diameters cross each other making 4 triangles. I'm not sure if I'm allowed too since nothing is said about the diameters bisecting creating 4 congruent lines, but I labeled each of the 4 lines in the square with the value "5". I then had enough information to find the missing side of the triangle with the Pythogorean Theorom, resulting in 7.07, and I multiplied it by 2. 7.07 represents the side of the square.

My problem here is that I am not sure if the 2 10 unit diameters bisect each other to create 4 congruent lines of 5.

Next Problem

Rectangular cards, 2 inches by 3 inches, are cut from a rectangular sheet 2 feet by 3 feet. What's the greatest number of cards that can be cut from the sheet?

My answer: I don't know. 144. The area of the large sheet divded by the area of the cards.

Next Problem

A train travels 1 mile in 1 minute 30 seconds. At this rate, how many miles will the train travel in 1 hour?

My answer: 78 miles because 1 mile is 1 minute 30 seconds, and 1 hour equals 60 minutes. I multiplied 1.30 with 60.

Next Problem

A motorist madea 60 mile trip averaging 20 miles per hour. On the return trip, he averages 30 miles per hour. What was the motorist's average speed for the entire trip?

My answer: 25MPH.

Next Problem

Suppose 5 days after the day before yesterday is Friday. What day of the week will tomorrow then be?

My answer: What!? Huh!?...Friday?

Next Problem

A dog takes 3 steps to walk the same distance for which a cat takes 4 steps. Suppose 1 step of the dog covers 1 foot. How many feet would the cat cover in taking 12 steps.

My answer: 16. I can't even tell what I did, so I know I did this wrong. I need to know how to solve it though.

Thanks in Advance. And yes...I know I better study...

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# Homework Help: Am I Right?

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