Next Gen Teacher

Question 1

If the side of a square are increased by 4 cm, the area is increased by 40 cm square. The
length of a side of the original square is ____.

A. 4 cm
B. 2 cm
C. 1 cm
D. 3 cm

Answer 1

D. 3 cm

Question 2

If the sum of the first two of the five consecutive odd integers is 52, what is the sum of the
last two integers?

A. 61
B. 57
C. 64
D. 59

Answer 2

C. 64

Question 3

If the ratio of x to y is 11.3, then what is the ratio of 3x to 2y?

A. 2 : 22
B. 2 : 3
C. 11 : 2
D. 3 : 2

Answer 3

C. 11 : 2

Question 4

If each side of a square is increased by x units then its perimeter is increased by how many units?

A. 2x
B. 4x
C. 3x
D. x

Answer 4

B. 4x

Question 5

The sum of three consecutive integers is 123. What are the integers?

A. 39, 40, 41
B. 42, 44, 46
C. 41, 43, 45
D. 40, 41, 42

Answer 5

D. 40, 41, 42

Question 6

Which of the following values of x will make the sequence 3x, 4x + 2, 7x – 1 a geometric sequence?

A. 18
B. 9
C. 4
D. 20

Answer 6

C. 4

Question 6

Factorize: 2xy + 7x – 15

A. (x + 5) (2x – 3)
B. (x – 5) (2x + 3)
C. (2x – 5) (x + 3)
D. (2x +5) (x – 3)

Answer 6

C. (2x – 5) (x + 3)

Question 7

Which of the following is NOT a multiple of 11?

A. 1111
B. 451
C. 759
D. 221

Answer 7

D. 221

Question 8

Mr. Santos ordered merchandise listed at ₱15,000.00 the invoice received showed the net
price of ₱12,750.00. Find the discount rate.

A. 22%
B. 15%
C. 20%
D. 18%

Answer 8

B. 15%

Question 9

What is the amplitude of y = 4 sin 3x?

A. 4
B. 1/3
C. 1/4
D. 3

Answer 9

A. 4

Question 10

Belinda is twice as old as Katie two years ago. The difference of their present age is 7. Find
the age of Belinda now.

A. 14
B. 16
C. 18
D. 9

Answer 10

B. 16

Question 11

Mr. Generoso invested Ph 1,000,000, part at 9% and the rest at 7%. He made Ph 86,000 in all his investments. How much did he invest at 9%?

A. Ph 800,000
B. Ph 200,000
C. Ph 600,000
D. Ph 4,000,000

Answer 11

A. Ph 800,000

Question 12

If the ratio of x to y is 11 : 3, then what is the ratio of 3x to 2y?

A. 2 : 3
B. 11 : 2
C. 2 : 11
D. 3 : 2

Answer 12

B. 11 : 2

Question 13

How much was borrowed if the interest at 8% after 3 months is ₱6,000.00?

A. ₱250,000.00
B. ₱150,000.00
C. ₱300,000.00
D. ₱200,000.00

Answer 13

C. ₱300,000.00

Question 14

Mimi and Precy spent their vacation working as a service crew in one of the fastfood
restaurants in the city. If their earning were in the ratio of 7: 8 respectively, how much did
Mimi earn when Precy earned Php 6,400?

A. Php 5,600
B. Php 6,000
C. Php 5,800
D. Php 6,200

Answer 14

A. Php 5,600

Question 15

One side of a cube is 3 cm. find the ratio of its volume with another cube whose side is 5 cm.

A. 3 : 5
B. 27 : 125
C. 3 : 8
D. 9 : 25

Answer 15

A. 3 : 5

Question 16

Ann will be F years old X years from now. How old is she now?

A. F – X
B. X – F
C. X
D. F

Answer 16

A. F – X

Question 17

If the measures of the sides of a regular polygon are integers and its perimeter is 78, the
polygon is a ____.

A. Hexagon
B. Octagon
C. Pentagon
D. Square

Answer 17

A. Hexagon

Question 18

At a Math Tutoring Center, 30% of the students taking Algebra also take Trigonometry and
50% of those taking Trigonometry also take Algebra. If 36 students take both subjects, how many students take only one of the two?

A. 156
B. 72
C. 120
D. 108

Answer 18

C. 120