### All SAT Math Resources

## Example Questions

### Example Question #83 : Arithmetic

Mr. Owens spent $7.50 for a dinner buffet. The amount he paid accounted for 3/4 of the money in his wallet. How much money is left in his wallet for other expenses?

**Possible Answers:**

$10.00

$1.00

$2.50

$4.00

$6.50

**Correct answer:**

$2.50

If $7.50 is 3/4 of the total, 7.50/3 gives us what 1/4 of his total money would be. This equals $2.50, the remaining unspent quarter.

### Example Question #8 : Whole And Part

A certain ball that is dropped will bounce back to 3/5 of the height it was initially dropped from. If after the 2nd bounce the ball reaches 39.96 ft, what was the initial height the ball was dropped from?

**Possible Answers:**

150 ft

111 ft

66 ft

100 ft

135 ft

**Correct answer:**

111 ft

We know the height of the initial bounce, so work backwards to find the initial height. 39.96/0.6 = 66.6 = height of ball after first bounce

66.6/0.6 = 111 ft

### Example Question #1 : Whole And Part

A pitcher of water is filled of full. An additional 27 ounces of water is added. Now the pitcher of water is completely full. How much water does the pitcher hold?

**Possible Answers:**

45

35

30

40

50

**Correct answer:**

45

If ounces fills the pitcher, then it must equal the volume of of the pitcher. If of a pitcher equals 27 ounces, then of a pitcher equals ounces. Since there are fifths in the pitcher, it must hold ounces total.

### Example Question #1 : How To Find The Whole From The Part

If Mr. Jones’ math class has 8 boys and two-thirds of the class are girls, how many total students are in the class?

**Possible Answers:**

**Correct answer:**

If two-thirds of the class are girls, then one-third must be boys. Set up an equation comparing the number of boys to how much they represent in the entire class:

8 = (1/3) x, where x is the number in the entire class.

When we solve for x in the equation we get x = 24.

### Example Question #2 : How To Find The Whole From The Part

is what of what?

**Possible Answers:**

**Correct answer:**

With the given information, we can set up a proportion.

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