6TH GRADE MATH PROBLEMS WITH ANSWERS

Question 1 :

The value of (1/2!) – (3/3!)

(A) 1         (B) 5         (C) 0

Solution :

  =  (1/2!) – (3/3!)

  =  (1/2 x 1) – (3/3 x 2 x 1)

  =  (1/2) – (1/2)

  =  0

So, the answer is 0.

Question 2 :

The angle between x and y axes on any graph sheet is

(A) 10      (B) 50       (C) 90

Solution :

The angle between x and y axes on any graph sheet is 90° So the correct answer for this question is 90°.

Question 3 :

John is two years younger to Jack. Jack is 3 years elder to Kevin. If Kevin is 35 years old, how old is John?

(A) 50        (B) 36      (C) 17

Solution :

John's age is compared with Jack's age,

Jack's age is compared with Kevin's age.

Kevin's age  =  35

Jack's age  =  35 + 3

       = 38 years

John's age = 38 - 2

  =  36 years

So the answer is 36 years.

Question 4 :

What is the probability of getting three heads when four fair coins are tossed once?

(A) 2/5         (B) 1/4        (C) 1/8

Solution :

Sample space

S =  {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, HTTH, THTH, TTHH, THHT, HTTT, THTT, TTHT, TTTH, TTTT}

n(S)  =  16

Let A be the event of getting three heads.

A  =  {HHHT, HHTH, HTHH, THHH}

n (A)  =  4

P(A)  =  n(A)/n(S)

  =  4/16

  =  1/4

The probability of getting three heads when four coins are tossed = 1/4

So the answer is 1/4.

Question 5 :

Find the area of a sector whose perimeter is 110 cm and radius 20 cm.

(A) 600 Sq.cm        (B) 500 Sq.cm      (C) 700 Sq.cm

Solution :

Perimeter of the sector  =  110 cm

radius of the sector  =  20 cm

From this we need to find the area of the sector

l + 2r  =  110

l + 2(20)  =  110

l + 40  =  110

l  =  110 - 40

l  =  70 cm

Area of sector  =  lr/2

      = 70 (20)/2

      = 70(10)

  =   700 cm²

So the answer is 700 cm².

Question 6 :

Mr. Roy sells shirt for $24 and he gets profit of $4. What is the percentage of profit?

(A) 10%           (B) 20%           (C) 15%

Solution :

Selling price of shirt  =  $24

profit  =  $4

Cost price  =  selling price- profit

Cost price  =  24 - 4

Profit percentage  =  (profit / Cost price) ⋅ 100%

  =  (4/20) ⋅ 100%

  =  20%

Hence the required profit percentage is 20%.

Question 7 :

If 2, a, 3, 6 are in proportion, then the value of a is

(A) 7        (B) 4       (C) 2

Solution :

Since 2, a, 3, 6 are in proportion

Product of extremes  =  product of means

2 ⋅ 6  =  a ⋅ 3

12  =  3a

a  =  12/3

a  =  4

So the answer is 4.

Question 8 :

What is the value of -5 + 3 ?

(A) -1      (B) -2     (C) -7

Solution :

The symbol of two numbers are not same.

Since the given numbers are having different signs, we have to subtract them and take the positive sign for the answer.

-5 + 3  =  -2

So the correct answer for this question is -2.

Question 9 :

You have two lands to buy at the same cost. One is in square shape with the side length of 40 ft. The other one is in rectangle shape with the length 30 ft and width 50 ft. Which is better deal ?

(A) Rectangle      (B) Square       (C) None of these

Solution :

To find which deal is better,we have to find the area of two different lands separately.

Area of square land  =  a ²

  =  (40) ²

  =  1600 sq.ft

Area of rectangular land  =  length x breadth

  =  30 ⋅ 50

  =  1500 sq.ft

From this, we come to know that the area of square land is larger than the area of rectangular land

The square deal is better. So the correct answer square.

Question 10 :

(A)   1         (B)  3          (C)  6

Solution :

Distance between two points  =  √(x₂ - x₁)² + (y₂ - y₁)²

Since the two points are in x-axis, the y coordinate value will be 0. 

A (-3, 0)   B(3, 0)

Distance between AB  =  √(3 + 3)² + (0 - 0)²

  =  √36   

  =  6 units

So the correct answer for this question is 6 units.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.