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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