**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.

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

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