MATHEMATICS FUN!!!!

How to express 5 ⋅ 5 ⋅ 5 using exponent?

• 10³   

• 5³ 

• 2³

Answer explanation

Tags

CCSS.6.EE.A.1

The sum of (-12) and (5) is

• 6

• 8

• -7

Answer explanation

Because the two terms are having opposite sings, we have to subtract and put greater number sign for the answer.

So, the answer is -7.

Tags

CCSS.7.NS.A.1C

The perimeter of the equilateral triangle is 18 cm. Find the length of each

• 5 cm

• 4 cm

• 6 cm

Answer explanation

Perimeter of equilateral triangle  =  18 cm

3a  =  18

a  =  18/3

a  =  6

So, the length of each side is 6 cm.

Tags

CCSS.3.MD.D.8

What is the value of 0¹⁰

• 0

• 1

• 2

Tags

CCSS.4.NBT.A.1

A father is 30 years older than his son, and one year ago he was four times as old as his son. Find the father’s present ages.

• 43

• 12

• 41

Answer explanation

Let x be the present age of his son.

Age of father  =  30 + x

One year ago,

Son's age  =  x - 1

Father's age  =  30 + x - 1

Father's age  =  29 + x

29 + x  =  4(x - 1)

29 + x  =  4x - 4

4x - x  =  29 + 4

3x  =  33

x  =  11

Father's present age  =  30 + 11=43

Tags

CCSS.8.EE.C.8C

A perimeter of a square is 20 inches.Find the side length of the square.

• 10 inch

• 4 inch

• 5 inch

Answer explanation

Perimeter of square  =  20 inches

4a  =  20

a  =  20/4

a  =  5

So, the side length of square is 5 inches

Tags

CCSS.4.MD.A.3

A triangle has sides of lengths 19, 3 and 18 meters. What type of triangle is it ?

• Equilateral

• Right

• Scalene

Answer explanation

The side lengths of triangle are 19, 3 and 18.

Verifying Pythagorean theorem :

19²  ≠  18² + 3²

361  ≠  324 + 9

361 ≠ 333

It doesn't satisfy the above condition, it is not a right triangle. Because the measures are different, it is a scalene triangle.

Tags

CCSS.4.G.A.2

The measure of an angle is 77°. What is the measure of a supplementary angle ?

• 105° 

• 103°         

• 50°

Answer explanation

Two angles are supplementary when they add up to 180 degrees.

Let x be the other angle

77 + x  =  180

x  =  180 - 77

x  =  103°

So, the required angle is 103°.

Tags

CCSS.7.G.B.5

Find the 21^st term in the sequence 2, 4, 6, 8 . . .

• 10

• 42

• 20

Answer explanation

In the given sequence the common difference are same. So it is arithmetic progression.

General term in arithmetic progression :

t_n  =  a + (n - 1)d

a  =  2, d  =  4 - 2 ==>  2

t₂₁  =  2 + (21 - 1)2

t₂₁  =  2 + (20)2

t₂₁  =  2 + 40

t₂₁  =  42

Tags

CCSS.HSF.BF.A.2

A train is travelling 1 kilometer in 1 minute and 20 seconds. If the train continues at this rate, how far will it travel in one hour?

• 10 miles

• 15 miles

• 45 miles

Answer explanation

Time taken to cover the distance of 1 kilometer is 1 minute 20 seconds.

1 minute  =  60 seconds

So, time taken  =  60 + 20  ==>  80 seconds

Therefore, the rate of travel is 1 km/80 seconds.

To find the total distance traveled in one hour, simply form a conversion:

(1 km/80 sec) ⋅ 3600 sec/hour  =  45 km

Therefore, the total distance traveled in hour is 45 km.

Tags

CCSS.5.MD.A.1