**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.

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