If you are looking for different types of 6th grade math questions to improve your problem solving skills, try online 6th grade math questions. Free to use and available around the clock, 6th grade math questions online give students the flexibility to learn when they want. Many of the questions are solved and some also provide complete solutions so that students have a handy online guide to solving problems. You can also try online calculators for 6th grade math problems for some quick answers.

## 6th Grade Math Problems

### Solved Examples

**Question 1:**Find the value of x.

$\frac{4}{19} = \frac{x}{152}$

**Solution:**

Given $\frac{4}{19} = \frac{x}{152}$

=> 4 * 152 = x * 19

=> x = $\frac{4 * 152}{19}$

[ 19 * 8 = 152 ]

=> x = 4 * 8

=> x = 32.

=> 4 * 152 = x * 19

=> x = $\frac{4 * 152}{19}$

[ 19 * 8 = 152 ]

=> x = 4 * 8

=> x = 32.

**answer****Question 2:**The high school started a club for students interested in games. The club seemed to interest more boys than girls. There were 7 boys for every 4 girls that joined the club. There were 42 boys in the club. how many girls were there.

**Solution:**

Let number of girls in the club = x

Given

Number of boys in the club = 42

and there were 7 boys for every 4 girls

=> $\frac{7}{4} = \frac{42}{x}$

Solve for x,

=> $\frac{7}{4} = \frac{42}{x}$

=> 7 * x = 42 * 4

=> x = $\frac{42 * 4}{7}$ [ 7 * 6 = 42 ]

=> x = 24

Hence the number of girls in the club are 24.

**Step 1:**Given

Number of boys in the club = 42

and there were 7 boys for every 4 girls

=> $\frac{7}{4} = \frac{42}{x}$

Step 2:Step 2:

Solve for x,

=> $\frac{7}{4} = \frac{42}{x}$

=> 7 * x = 42 * 4

=> x = $\frac{42 * 4}{7}$ [ 7 * 6 = 42 ]

=> x = 24

Hence the number of girls in the club are 24.

**answer****Question 3:**Change percent to decimal

$13\frac{1}{2}$ %

**Solution:**

Given, $13\frac{1}{2}$ %

Change mixed fraction into improper fraction

$13\frac{1}{2}$ = $\frac{27}{2}$

$13\frac{1}{2}$ % = $\frac{27}{2}$ * $\frac{1}{100}$

= $\frac{27 * 1}{2 * 100}$

= $\frac{27}{200}$

Divide 27 by 200

0. 1 3 5

----------------

2 0 0 | 27

0

------------

2 7 0

2 0 0

-----------------

7 0 0

6 0 0

---------------

1 0 0 0

1 0 0 0

----------------

x

----------------

=> $\frac{27}{200}$ = 0.135.

Step 1:Step 1:

Change mixed fraction into improper fraction

$13\frac{1}{2}$ = $\frac{27}{2}$

Step 2:Step 2:

$13\frac{1}{2}$ % = $\frac{27}{2}$ * $\frac{1}{100}$

= $\frac{27 * 1}{2 * 100}$

= $\frac{27}{200}$

Step 3:Step 3:

Divide 27 by 200

0. 1 3 5

----------------

2 0 0 | 27

0

------------

2 7 0

2 0 0

-----------------

7 0 0

6 0 0

---------------

1 0 0 0

1 0 0 0

----------------

x

----------------

=> $\frac{27}{200}$ = 0.135.

**answer**