FREE ONLINE MATH WORKSHEET FOR 5TH GRADE

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

x² - x  =  650

x² - 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 - y²  =  20

y² - 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  =  πr²

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.

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