### All ISEE Middle Level Quantitative Resources

## Example Questions

### Example Question #11 : How To Multiply Fractions

**Possible Answers:**

**Correct answer:**

When multiplying fractions, simply multiply the numerators by each other and the denominators by each other.

Always reduce fractions when possible. In this case, both the numerator and denominator are divisible by 2.

### Example Question #11 : How To Multiply Fractions

**Possible Answers:**

**Correct answer:**

When multiplying fractions, multiply the numerators and denominators.

When possible, always reduce your fraction. In this case, both 4 and 14 are divisible by 2.

The result is your answer.

### Example Question #13 : How To Multiply Fractions

**Possible Answers:**

**Correct answer:**

When dealing with fractions and whole numbers, first convert the whole number into a fraction. This is easily done by putting the whole number over 1.

When multiplying fractions, multiply both the numerators and denominators.

When possible, always reduce your fraction. In this case, since the numerator and denominator is the same, the result is 1.

### Example Question #14 : How To Multiply Fractions

The above pentagon has area 100. Which is the greater quantity?

(a) The area of the white region

(b) 25

**Possible Answers:**

(b) is the greater quantity

(a) and (b) are equal

It is impossible to determine which is greater from the information given

(a) is the greater quantity

**Correct answer:**

(b) is the greater quantity

Of the five triangles of equal area, one of them is white - this is of the pentagon. The pentagon has area 100, so the area of the white triangle is

,

which is less than 25.

### Example Question #14 : How To Multiply Fractions

Note: figure NOT drawn to scale

Above are a rectangle and a triangle, each of which is divided equally into smaller shapes. Which is the greater quantity?

(a) The area of the shaded portion of the rectangle

(b) The area of the shaded portion of the triangle

**Possible Answers:**

(b) is the greater quantity

(a) is the greater quantity

(a) and (b) are equal

It is impossible to determine which is greater from the information given

**Correct answer:**

It is impossible to determine which is greater from the information given

It cannot be determined which of the figures has the greater shaded area, because nothing is given about the areas, or even the comparative areas, of the rectangle and the triangle.

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