**Free Online Math Worksheet for 5th Grade :**

In this section, we will see some practice problems for 5th grade students.

**Question 1 :**

Peterson had $57 at the end of the game. While playing the game he won $200, lost $150, won $25, lost $10, and lost $35. How much had Peterson had at the beginning in dollars?

(A) 87 (B) 38 (C) 14

**Solution :**

Money won by Peterson in the game = 200, 25

Money loss by Peterson in the game = 150, 10 and 35

Remaining amount he has = 57

Initial amount = 200 + 25 - 150 - 10 - 35 + 57

= 282 - 195

= 87

**Question 2 :**

The number of lines of symmetry for a square is

(A) 2 (B) 5 (C) 4

**Solution :**

Hence line of symmetry is 4.

**Question 3 :**

Lily is one year younger to her husband Jack. If 650 is the product of their ages. How old is Lily in years?

(A) 12 (B) 15 (C) 25

**Solution :**

Let x be the age of Jack.

Age of Lily = x - 1

Product of ages = 650

x(x - 1) = 650

x^{2} - x = 650

x^{2} - x - 650 = 0

(x - 26) (x + 25) = 0

x = 26 and x = -25

x - 1 = 25

Hence age of Lily is 25.

**Question 4 :**

Cameroon is tossing a fair coin two times. What is the probability for getting two heads?

(A) 1/2 (B) 1/4 (C) 1/5

**Solution :**

Sample space = {HH, TT, HT, TH}

n(s) = 4

Let A be the event of getting two heads.

A = {HH}

n(A) = 1

p(A) = n(A)/n(S)

p(A) = 1/4

**Question 5 :**

A shirt is sold for $20.00 by a cloth store. The store has decided to raise the price by 20%. After a few days, again they decided to raise the price another 20%. What is the price of the shirt now?

(A) 15.2 (B) 28.8 (C) 10.5

**Solution :**

Cost price of the shirt = 20

Raised price = 20 + 20% of 20

= 20 + 4

= 24

After few more days, the shop decided to increase its price by 20% again.

New price after the second increment = 24 + 20% of 24

= 24 + 4.8

= 28.8

Hence the new price is 28.8.

**Question 6 :**

The list price of a calculator is $130. Amy got 20% discount on list price while buying it. How much did she pay for the calculator?

(A) 142 (B) 150 (C) 104

**Solution :**

List price of calculator = 130

Discount = 20%

New price of calculator after discount

= 130 - 20% of 130

= 130 - 26

= 104

Hence the price of calculator is 104.

**Question 7 :**

The ratio of boys to girls on the St.John’s Math Team was 2:3. Four boys joined the team and the ratio changed to 4:5. How many boys are now on the St.John’ Math Team?

(A) 57 (B) 15 (C) 24

**Solution :**

From the ratio 2 : 3, the number of boys = 2x and number of girls = 3x

After four boys admitted in the school, the ratio be changed as 4 : 5.

(2x + 4) : 3x = 4 : 5

(2x + 4) / 3x = 4 / 5

5(2x + 4) = 4(3x)

10x + 20 = 12x

12x - 10x = 20

x = 10

Number of boys initially = 2x ==> 2(10)

= 20

After 4 boys admitted = 20 + 4

= 24 boys

**Question 8 :**

The sum and product of the two numbers are 9 and 20 respectively. Which of the smallest of those two numbers ?

(A) 4 (B) 2 (C) 5

**Solution :**

Let x and y be two numbers.

x + y = 9 ---(1)

xy = 20 ----(2)

x = 9 - y

By applying the value of x in (2), we get

y(9 - y) = 20

9y - y^{2} = 20

y^{2} - 9y + 20 = 0

(y - 5) (y - 4) = 0

y = 5 and 4

Smallest age is 4.

**Question 9 :**

The cost 6-inch diameter pizza is $8.00 while the cost of 12- inch diameter pizza is $16.00. Which is the better deal ?

(A) Both (B) First (C) Second

**Solution :**

To choose which is better, we should find the quantity of pizza.

Pizza will be the in the shape of circle.

Area of circle = πr^{2}

Radius of pizza that costs $8.00 = 3

= π(3)^{2}

= 9π -----(1)

Radius of pizza that costs $8.00 = 6

= π(6)^{2}

= 36π

= 4(quantity of 1st pizza) -----(2)

In case 2, we are getting 4 times more pizza as case 1 for $16.

So, 2nd deal is better.

**Question 10 :**

In which quadrant does the point (-3,4) lie on ?

(A) 1st (B) 2nd (C) 3rd

**Solution :**

In the given coordinate, x is negative and y is positive. So the given point lies in second quadrant.

After having gone through the stuff given above, we hope that the students would have practiced problems in the worksheet.

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

HTML Comment Box is loading comments...

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**