MATH WORKSHEET FOR GRADE 5

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 ac² when a = 5 and c = 2

(A) 20    (B) 100    (C) 50

Solution :

To find the value of ac², we should apply the value of a and c in the given expression.

ac²  =  5(2)²

ac²  =  5(4)

ac²  =  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 m³

1 m³  =  1000 liter

=  7.5 (1000)

=  7500 liters

Hence the capacity of the tank is 7500 liters.

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