MATHEMATICS EXAM

If a=b/5 and 10a=14, what is b?

• 14

• 28

• 7

• 2

Answer explanation

Solution:

10a=14

a=14/10 or 1.4

a=b/5

1.5=b/5

B=7✅

Tags

CCSS.6.EE.B.7

What is the Greatest Prime number from 1 to 100?

• 99

• 97

• 93

• 98

Tags

CCSS.4.OA.B.4

What is the smallest prime number?

• 1

• 2

• 5

• 3

Tags

CCSS.4.OA.B.4

A 10 meter board leans against thewall. The foot of the board is 8 metersfrom the wall. How far up the wall doesthe board reach?

• 8 square meters

• 6 square meters

• 4 square meters

• 10 square meters

Answer explanation

Solution:

Pythagorean theorem formula

√( 10² - 8²)

√100-64

√36

= 6✅

Tags

CCSS.8.G.B.8

The grades in Mathematics of the

students in section A are as follows: 80,75, 60, 95, 100. What is the mean

absolute deviation of this group?

• 11.7

• 14.61

• 12.4

• 13.2

Answer explanation

Solution:

60+80+100+75+95=410/5=82

|60 - 82 |= 22

|80 - 82| = 2

|100 - 82| = 18

|75 - 82| = 7

|95 - 82| = 13

22+2+18+7+13=62/5=12.4

= 12.4✅

Tags

CCSS.6.SP.B.5C

Two buses leave the same station at 8:00 pm. One bus travels north at the rate of 30 kph and the other travels east at 40 kph. How many kilometers apart are the buses at 10 pm?

• 140 km

• 100 km

• 70 km

• 50 km

Answer explanation

Solution:

First, you have to get each other's distance after 2 hours:

North: d=st=30(2)=60

East: d=st=40(2)=80

Then, you have to apply Pythagorean Theorem in order to get the distance r²= a² + b² = 60²+ 80² = 3600 + 6400=10 000

Get the square root of 10, 000 to get

r= 100 km

Tags

CCSS.8.G.B.8

Which of the following is the factorization of the binomial x² – 4²?

• (x – 4)²

• (x + 4)(x + 2)

• x(x + 2x + 2)

• (x – 4)(x + 4)

Answer explanation

Solution:

x²-4²

x²-16

(x-4) (x+4)✅

Tags

CCSS.HSA.APR.C.4

What value of x will satisfy the equation: 0.4(5x – 1470) = x?

• 490

• 2,130

• 588

• 1470

Answer explanation

Solution:

0.4(5x-1470)=x

0.4(5x)-0.4(1470)=x

2x-588=x (TRANSFER X AND -588 AND CHANGE SIGNS)

2x-x=588

x = 588✅

Tags

CCSS.8.EE.C.7B

Three brothers inherited a cash amount of P62,000 and they divided it among themselves in the ratio of 5:4:1. How much more is the largest share than the smallest share?

• P75,000

• P30,000

• P24,800

• 50,000

Answer explanation

Solution:

5x + 4x + 1x = 62000

10x = 62000

x = 6200

5(6200) = 31000

4(6200) = 24800

1(6200) = 6200

5x-x= 4x

4(6200) = 24,800✅

At what rate per annum should P2400 be invested so that it will earn an interest of P800 in 8 years?

• 6 ½ %

• 5 ½ %

• 4.17 %

• 6 %

Answer explanation

Solution:

principal(P) = 2,400

time (t) = 8 years

interest = 800

rate (r) = ?

formula: I=Prt

800 = 2400(r) (8)

800 = 2400 (8) r

800 = 19200 r

800/19200 = r

0.041666 = r

0.041666 (100) = r

Answer : 4.17% = r ✅