**Problem 1 :**

Mary poured 5/8 liter of apple juice equally in to 5 glasses. How much of apple juice was there in each glass?

(A) 1/8 liter (B) 1/5 liter (C) 1/6 liter

**Solution :**

Original quantity of apple juice = 5/8 liter

Number of glasses to be divide = 5

Quantity of apple juice in each glass = (5/8) ÷ 5

Here we can consider 5 as 5/1

= (5/8) ÷ (5/1)

= (5/8) ⋅ (1/5)

= 1/8

So 1/8 liter apple juice will get each glass.

**Problem 2 :**

John cuts lead strips to make stained-glass windows. He has a 3 ¾ foot strip of lead and
cuts into 5 equal pieces. How long is each piece of lead?

(A) 1/6 feet (B) 3/4 feet (C) 2/3 feet

**Solution :**

Original length of the lead strip = 3 ¾ foot

Length of each lead strip = 3 ¾ foot ÷ 5

= 15/4 ÷ 5

= (15/4) ⋅ (1/5)

= 3/4

The required length of each piece of lead is ¾ feet.

**Problem 3 :**

Mrs.Mathew divided ¾ kg of grapes equally among 6 children. How many kilograms of grapes did each child get?

(A) 1/8 kg (B) 3/11 kg (C) 2/3 kg

**Solution :**

Quantity of grapes that Mrs.Mathew had = 3/4 kg

Number of children is be divided = 6

Quantity of grapes that each children will get

= (original quantity of grapes)/(Number of children)

= (3/4) ÷ 6

= (3/4) ⋅ (1/6)

= 1/8 kg

That is each child will get 1/8 kg of grapes.

**Problem 4 :**

The perimeter of square piece of paper is 3/4 m. What is the length of its side?

(A) 1/15 m (B) 3/16 m (C) 2/3 m

Solution :

Perimeter of square piece = 3/4 m

Perimeter of any square = 4a

4a = 3/4 m

The length of four sides = 3/4 m

length of one side = (3/4) ÷ 4

= (3/4) ⋅ (1/4)

The length of each side of a square is 3/16 m.

**Problem 5 :**

The product of two fractions is 30 1/3. One of them is 5 2/3. Find the other?

(A) 91/17 (B) 15/19 (C) 25/97

**Solution :**

Let x be the required fraction.

One of the fraction = 5 2/3 = 17/3

Product of two fractions = 30 1/3 = 91/3

(17/3) ⋅ x = 91/3

x = 91/3 ÷ (17/3)

x = (91/3) ⋅ (3/17)

x = 91/17

So, the required fraction is 91/17.

**Problem 6 :**

How many pieces of wood each 1/5 m long can be cut from a piece 3 m long ?

(A) 18 pieces (B) 11 pieces (C) 15 pieces

**Solution :**

Length of the given wood = 3 m

Length of each piece = (1/5) m

Length of each pieces which has been cut

= Length of wood/(measurement of wood piece)

= 3 / (1/5)

= 15

That is, 3 m wood can be cut into 15 equal parts.

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

If you have any feedback about our math content, please mail us :

**v4formath@gmail.com**

We always appreciate your feedback.

You can also visit the following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**