Free 5th Grade Math Practice Worksheet :
In this section, we will see some practice problems for 5th grade students.
Question 1 :
Find the product of m^{2} and m^{4}
(A) m^{6 }(B) m^{2 }(C) m^{4}
Solution :
m^{2} ⋅ m^{4 }= m^{ (2+4)}
= m^{6}
Question 2 :
The magnitude of the sum of two negative numbers is the sum of their magnitudes and the sign of the sum will always be __________
(A) Positive (B) Negative (C) Zero
Solution :
If we have two or more numbers with same sign, we have to add them and put the same sign what all are having.
Question 3 :
If the dividend and the divisor have the same sign,the quotient is __________
(A) positive (B) Negative (C) Zero
Solution :
If the dividend and the divisor have the same sign, the quotient is positive.
Question 4 :
Represent the following fraction "Five eights" in numerals.
(A) 5/8 (B) 8/5 (C) 5/10
Solution :
We can write "Five eights" as 5/8.
Question 5 :
Mary had 3/4 cup of sugar. She used 1/3 cup of that sugar to make a cake. How much sugar does she left?
(A) 1/2 (B) 5/7 (C) 3/20
Solution :
Quantity of sugar she has = 3/4 cup
Quantity of sugar she used = 1/3 cup of 3/4
= 1/4
Quantity of sugar left over = 3/4 - 1/4
= (3 - 1 ) / 4
= 2/4
= 1/2
Hence the quantity of sugar left over is 1/2 cup.
Question 6 :
The multiplicative inverse of 1/6 is?
(C) 1/6 (B) -1/6 (C) 6
Solution :
Multiplicative inverse of 1/6 is 6/1. That is 6.
Question 7 :
A chemist mixed 6.35 grams of one compound with 2.45 grams of another compound.How many grams were there in the mixture ?
(A) 5.50 grams (B) 7.50 grams (C) 8.80 grams
Solution :
Quantity of mixture = 6.35 + 2.45
= 8.8 grams
Question 8 :
A map is 1.3 m long and 0.8 m wide. Find its area.
(A) 1.02 sq.m (B) 1.04 sq.m (C) 10.4 sq.m
Solution :
Area of the rectangle = length x width
length = 1.3 m and width = 0.8 m
Area of the rectangle = 1.3 (0.8)
= 1.04 square meter
Question 9 :
A copy of English book weighs 0.45 kg. What is the weight of 20 copies?
(A) 9 kg (B) 0.65 kg (C) 18 kg
Solution :
Weight of one English book = 0.45 kg
Weight of 20 copies = 0.45 (20)
= 9 kg
Question 10 :
Find the L.C.M of 32, 48 and 64.
(A) 160 (B) 192 (C) 180
Solution :
Least common multiple = 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 3 ⋅ 2
= 192
Hence the least common multiple of 32, 48 and 64 is 192.
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