**Math Worksheet for Grade 5 :**

In this section, we will see some practice problems for 5th grade students.

**Question 1 :**

If A = {3, 5, 7, 8} and B = {1, 3, 4, 5, 6} then what will be AUB ?

(A) {1, 3, 5} (B) {1, 3, 4, 5, 6, 7, 8} (C) {3, 5}

Solution :

The given sets are A = {3, 5, 7, 8} and B = {1, 3, 4, 5, 6}.

To find AUB, we should combine both the sets A and B.

A U B = {1, 3, 4, 5, 6, 7, 8}

**Question 2 :**

Rewrite the following as algebraic expression 6 less than twice y

(A) 6 - 2y (B) 2y - 6 (C) 12y

**Solution :**

Twice y = 2y

6 less = 2y - 6

**Question 3 :**

What is the value of x + x + x ?

(A) 3x (B) x + 3 (C) 3 - x

**Solution :**

By adding the given expression,, we get 3x.

**Question 4 :**

Find the value of ac^{2} when a = 5 and c = 2

(A) 20 (B) 100 (C) 50

**Solution :**

To find the value of ac^{2}, we should apply the value of a and c in the given expression.

ac^{2 }= 5(2)^{2}

ac^{2 }= 5(4)

ac^{2 }= 20

**Question 5 :**

Fill in the blanks with <, > or = to make the statement true.

-2 ____ -4

(A) > (B) < (C) =

**Solution :**

In number line, when we go towards the right side, we get larger number and if we go left side, we get smaller values. From -2 to -4, we move towards the left side. So, -4 is smaller than -2.

The correct sign we have to fix is >.

**Question 6 :**

What is the additive inverse for -7 ?

(A) 7 (B) 1/7 (C) -7

**Solution :**

Additive inverse of -7 is 7.

**Question 7 :**

Subtract 3a from 5a

(A) 2a (B) -2a (C) 7a

**Solution :**

Subtract 3a from 5a = 5a - 3a

= 2a

Hence the answer is 2a.

**Question 8 :**

A gardener weeded 1/2 of a garden on Monday, 1/3 of it on Tuesday and 1/8 of it on Wednesday. What fraction of the garden did he weed altogether ?

(A) 9/24 (B) 8/12 (C) 23/24

**Solution : **

To find the part of garden he weeded, we add the given fractions altogether.

= 1/2 + 1/3 + 1/8

Least common multiple of (2, 3, and 8) is 24

= 12/24 + 8/24 + 3/24

= (12 + 8 + 3)/24

= 23/24

**Question 9 :**

What is the total cost of these items. Pen $10.50, books $25.75, bag $45.50.

(A) $ 81.75 (B) $ 63.75 (C) $ 12.59

**Solution :**

To find the total cost of these items, we need to add them.

Cost of pen = 10.50

Cost of books = 25.75

Cost of bag = 45.50

Total cost = 10.50 + 25.75 + 45.50

= 81.75

**Question 10 :**

A rectangular tank has its internal length, breadth and height equal to 2.5 m, 2 m and 1.5 m respectively. How many liters of water can it hold?

(A) 6000 liters (B) 7500 liters (C) 8000 liters

**Solution :**

Length of tank = 2.5 m, breadth = 2 m and height = 1.5 m

Capacity of the tank = length x breadth x height

= 2.5 x 2 x 1.5

= 7.5 m^{3}

1 m^{3} = 1000 liter

= 7.5 (1000)

= 7500 liters

Hence the capacity of the tank is 7500 liters.

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

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