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

ALS AERT and A&E 2020 - Mathematics Practice Test

 Choose the letter of the correct answer.

1. Which of the following does NOT define congruent triangles?

A. Three sides of one triangle are equal to three sides of another triangle.

B. Three angles of one triangle are equal to three angles of another triangle.

C. Two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle.

D. Two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle.

For Item 2 – 5: Analyze the Venn diagram below that shows the number of Year 10 students who like & do not like Math and P.E. and answer the questions that follow.

2. How many students are in Year 10?

A. 76

B. 68

        C. 60

        D. 50

3. How many students do like Math and P.E.?

A. 8

        B. 18

        C. 42

        D. 50

4. How many students don’t like Math or P.E.?

A. 8

B. 18

        C. 42

        D. 50

5. How many Year 10 students don’t like Math?

A. 20

B. 28

        C. 32

        D. 38

6. Using this tool, Conrad was able to find the angle of a triangle.

A. ruler

B. calculator

C. protractor

        D. compass

7. Moana’s sponge cake calls for pre-heated 350oF oven. However, her oven has a temperature setting in Celsius (Centigrade). Helping her using this formula: (oC x 9/5) + 32 = oF, what is the temperature required in oC?

A. 572.40

B. 226.44

C. 212.22

D. 176.67

For Items 28 – 30:  Dr. Mora weighed the dogs under his care and recorded the data in the graph below:

8. What is the mean weight of the dogs?

A. 10.5 kg

B. 9.5 kg

C. 9.4 kg

D. 8.4 kg

9. What is the median weight of the dogs?

A. 10 kg

B. 9.5 kg

C. 9 kg

        D. 8 kg

10. What is the modal weight of the dogs?

A. 10 kg

B. 9.5 kg

C. 9 kg

        D. 5 kg

CORRECT ANSWERS