5TH GRADE MATH WORKSHEET WITH ANSWER

Question 1 :

The percentage of prime numbers greater than 1 through 1 to 10?

(A) 40%     (B) 50%     (C) 80 %

Solution :

Numbers from 1 to 10 are

1, 2, ,3, 4, ,5 ,6 7, ,8 9, 10

Out of which prime numbers are 2, 3, 5, 7 

Out of 10 numbers 4 are primes.

Percentage of prime numbers  =  (4/10) x 100%

  =  40%

Question 2 :

Three numbers are chosen randomly between 1 to 10 (Inclusive). If the product of those three numbers is 24 and the sum is 9, then those three numbers are

(A) 2, 5, 1     (B) 1, 1, 4       (C) 2, 3, 4

Solution :

Option C satisfies both the conditions.

Sum of 2, 3, 4 is 9 and the product is 24.

Question 3 :

If the sum of the radius and the diameter of a circle is 9, then the circumference of this circle ?

(A) 2π      (B) 5π      (C) 6π

Solution :

Radius + Diameter  =  9

r + 2r  =  9

3r  =  9

r  =  3

Circumference of circle  =  2πr

  =  2π(3)

=  6π

Question 4 :

18 is A % of 60. What is the value of A?

(A) 20%      (B) 30%       (C) 25%

Solution :

A% of 60  =  18

(60A/100)  =  18

A  =  1800/60

A  =  30%

Question 5 :

The average of three consecutive natural numbers is 24, The difference between the largest and the smallest of these three numbers is ?

(A) 10, 20, 25     (B) 23, 24, 25      (C) 12, 15, 20

Solution :

Let x, x + 1 and x + 2 be three consecutive natural numbers.

Sum of three consecutive numbers  =  24

Average of three consecutive numbers :

(x + x + 1 + x + 2)/3  =  24

3x  =  72 - 3

3x  =  69

x  =  23

So, the consecutive numbers are 23, 24 and 25.

Question 6 :

Peter is twice as old as Ronald and Ronald is twice as old as Daniel. If Daniel is 12 years old, how old is Peter in years?

(A) 14      (B) 51        (C) 48

Solution :

Let x be the age of Daniel.

2x  =  Age of Ronald

2(2x)  =  4x  =  Age of Peter

x  =  12

4x  =  4(12)  =  48

Hence age of peter is 48.

Question 7 :

In the first 25 positive natural, 5 even numbers are removed, then percent of the remaining even numbers out of the 25 numbers is

(A) 45      (B) 25      (C) 28

Solution :

Totally we will have 25 numbers.

The numbers to be removed are 2, 4, 6, 8, 10.

Now we have 20 numbers. In that even numbers are

12, 14, 16, 18, 20, 22, 24

Percentage of remaining numbers :

=  (7/25) ⋅ 100

=  28%

Question 8 :

The reduced form of the fraction (585/3315) is

(A) 3/17      (B) 5/18      (C) 3/19

Solution :

  =  (585/3315)

In the first step we can simplify using 5 times table. So, we get

  =  117/663

Divide both numerator and denominator by 3

  =  39/221

Divide both numerator and denominator by 13 times table.

=  3/17 

Question 9 :

The reciprocal of the sum of four sevenths and seven fourths is

(A) 28/65      (B) 35/47      (C) 14/39

Solution :

  =  (4/7) + (7/4)

  =  (16 + 49)/28

  =  65/28

Reciprocal of 65/28 is 28/65.

Question 10 :

The largest prime factor of 30 times 40 times 50 is

(A) 8     (B) 5      (C) 3

Solution :

5 is the largest prime factor of 30 x 40 x 50.

Question 11 :

Mr Kumar had the same number of donuts and cupcakes. after selling 84 donuts and 30 cupcakes, the number of cupcakes left was 4 times as many as the number of donuts left. How many donuts did Mr. Kumar have at first 

Solution :

Let x be the number of cupcakes and donuts.

Number of cupcakes and donuts = 2x

After selling 84 cupcakes, number of cupcakes left

= x - 84

After selling 30 donuts, number of donuts left = x - 30

x - 30 = 4(x - 84)

x - 30 = 4x - 336

x - 4x = -336 + 30

-3x = -306

x = 102

Number of donuts she has at first is 102.

Question 12 :

Wei Ling had a sum of money at first. She spent $80 on a dress and 1/4 of the remaining sum of her money on a bag. She then had 3/8 of her money left

a) What fraction of her money did she spend in total ?

b) What fraction of her money did she spent on the dress ?

Solution :

Let x be the sum of money she has at first.

a) 

Amount spent on dress = 80

amount she spent for bag = 1/4 of x

Amount she has left = 3/8 of x

= 3x/8

Here 80 and 1/4 of x are the amounts she spent

= 1 - 3x/8

= 5x/8

b) Dress = Total money - money after dress

= 8 - 4

= 4

= 4/8 parts

1/2 part is spent for dress.

Question 13 :

9 liter of orange juice was poured equally into 12 bottles. How much orange juice was poured into each bottle ?

Amount of juice = 9 liters

Number of bottles to be filled = 12

Amount of juice in each bottle = 9/12

= 3/4

Question 14 :

Muthu drew a grey right triangle as shown below.

a) Find the area of the triangle.

He then continued drawing more identical grey and white triangles in a row to form a figure with repeated pattern as shown. The perimeter of the figure is 114 cm.

b) Find the area of the figure

c) What fraction of the figure made up of right triangles ?

Solution :

a) To find the area of triangles shown, first we have to find the number of triangles drawn.

Perimeter of the shape = 114

Base length = (114 - 5 - 5)

= 104

Dividing by 4, we find how many triangles are there.

= 104/4

= 26 triangles

b) Area of one triangle = (1/2) x base x height

= (1/2) x 4 x 3

= 6 cm²

Area of 26 triangles = 26 x 6

= 156 cm²

c) Excluding the right triangles outside, we get

= 26 - 2

= 24 triangle

in that 24, 12 are shaded by grey 

Total number of white triangles = 12/26

= 6/13

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.