ALS Computer-based A&E Practice Test - Mathematics - Junior High School

Learning Strand 3 - Mathematical & Problem Solving Skills

Choose the letter of the correct answer. 

1. The public swimming pool of Mapayapa Town measures 50 meters long, 25 meters wide, and 2 meters deep. How many pails of water are needed to fill up the pool if one pail contains 5 liters?

               A. 12,500                                                                        

               B. 250,000                                                                      

    C. 500,000

    D. 2,500,000

 2. What is the slope of this equation: 3y – 8 = - 1/3 x + 13?

               A. -1/9                                                                               

               B. – 1                                                                               

    C. 7

    D. -7

3. Find y if x = -4 in this equation: 4y – 7 = 3x + 9

               A. 2 ½                                                                              

            B. 3 1/2                                                                               

    C. 4

    D. 1

4. Compute and simplify:  (4 sqrt 8  + 23 sqrt 32 ) /  (3 sqrt 2 -  8 sqrt 2

               A. 20 sqrt 2                                                                         

               B. -20                                                                              

C. 16 sqrt 2      

D. 20

5. What are the factors of this binomial:  4x² – 25?

               A. (4x – 5) (x + 5)                                                           

               B. (2x + 5) (-x – 5)                                                          

C. (2x – 5) (2x + 5)

D. (2x – 25) (2x + 1)

6. Find the height of an equilateral triangle if its area is 35 cm² and perimeter of 15 cm?

               A. 20 cm                                                                         

               B. 14 cm                                                                                         

C.  11.7 cm

D. 5 cm

 

7. Compute and simplify:   a²b³ (ab²) / (a³b)² =?

               A. b³/a³                                                                           

               B. b⁴/a⁴                                                                           

C. a⁴b³

D. a²b⁴

 

8. A box has 5 black marbles, 7 white marbles, and 8 red marbles. What is the probability that the first marble drawn from the box is not black?

               A. ¾                                                                                 

               B. 2/3                                                                              

C. 1/3

D. ¼

 

9. What is the largest number between 3/8 and 15/16?

               A. 5/8                                                                              

               B. 11/16                                                                          

C. 3/4

D. 7/8

 

50. Find the area of the figure below: (Do not scale)

 

                                                           

               A. 20 m²                                                                          

               B. 26 m²                                                                          

C. 31.28 m²

D. 37.56 m²

^ANSWERS:

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1C  2A  3D  4B  5C  6B  7A  8A  9D  10C