ISEE Lower Level Quantitative Reasoning - Numbers and Operations

Amanda and Adriana each ran four laps around the track in twelve minutes. At the same rate of speed, how long would they need to run twenty-eight laps?

$84\ {minutes}$

$28\ {minutes}$

$36\ {minutes}$

$120\ {minutes}$

Explanation

To solve this problem, one must first determine how long it takes to run one lap. Since it takes twelve minutes to run four laps, divide twelve by four.

$12\div4=3$

It takes three minutes to run one lap.

To determine how long it will take to run twenty-eight laps, multiply the original rate of speed by the new distance.

$3\times28=84$

It will take eighty-four minutes to run twenty-eight laps if each lap is run in three minutes.

What number is six hundred forty?

Explanation

in word form is six hundred forty.

$29\frac{5}{13}-8\frac{2}{13}$

$21\frac{3}{13}$

$22\frac{3}{13}$

$23\frac{3}{13}$

$21\frac{7}{13}$

$22\frac{7}{13}$

Explanation

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

$\frac{5}{13}-\frac{2}{13}=\frac{3}{13}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

$13\frac{1}{3}+7\frac{1}{3}$

$20\frac{2}{3}$

$19\frac{2}{3}$

$18\frac{2}{3}$

$21\frac{2}{3}$

$22\frac{2}{3}$

Explanation

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

$\frac{1}{3}+\frac{1}{3}=\frac{2}{3}$

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

Use the distributive property to expand the expression:

Explanation

The distributive property is needed to solve this problem. The distributive property is . In this particular, case the FOIL technique should be used to expand this expression. FOIL is an acronym that helps students remember to multiply the first terms in each parentheses, then the outside terms in each parentheses, followed by multiplying the inside terms and then finally multiplying the last terms in each parentheses.