2019 ALS A&E Reviewer - SCIENCE

Alternative Learning System (ALS)

Accreditation & Equivalency (A&E)

Review Questions – SCIENCE

Choose the letter of the correct answer.

1. Which of the following statements describes the difference between active and inactive volcano?

A. The summit of an active volcano has higher elevation while an inactive volcano has steeper sides.

B. The summit of an active volcano is lower while an inactive volcano has less steep sides.

C. An active volcano had history of eruptions while an inactive volcano periodically erupts.

D. An active volcano has a record of periodic eruption while an inactive volcano had recorded history of eruptions.

2. Which of the following explains the cause of volcanic eruptions?

I. Magma rises to the crater.

II. Magma is moving in the chamber.

III. When built-up pressure is released, magma explodes to the surface.

IV. Lava solidifies and becomes part of the crust.

A. I only

B. I and III

C. III only

D. II and IV

3. Mariel observes the patterns formed by prominent stars almost every night. Which of the following statements may serve as her correct realization about constellation?

A. Stars assume different patterns every week.

B. Different constellations appear in the sky every night.

C. A constellation will appear in the same position in the sky throughout the year.

D. Different patterns of stars appear in the night sky as the earth revolves around the sun.

4. Darlene observes that each day a few stars are visible in the eastern region of the sky that were not visible the night before. Which of the following statements explains her observation?

A. The Earth spins on its axis as it revolves around the Sun.

B. The stars move around the Earth.

C. The sky moves around the Sun.

D. The Earth rotates on its axis.

5. John learned that the sun is a star. Which of the following is a proof of his information?

A. Stars and the Sun, unlike planets, become smaller and smaller after thousands of years.

B. Like the Sun, stars produce light due to nuclear reactions.

C. Stars belong to the Solar System, hence, it is a star.

D. Stars like the Sun do not move.

6. Which statement describes the cause of plate movement?

A. Molten rock in the mantle moves due to intense heat.

B. Molten rock beneath the Earth behaves like liquid.

C. The plate moves due to the rotation of the Earth.

D. The plate moves due to tidal waves.

7. Melai always looks at the expiry dates of food items she buys at the supermarket in order to avoid food poisoning. Which of the following is the cause of food expiration?

A. Cans and packaging deteriorate over time making the food inside them not safe for consumption.

B. Canned and packed goods are treated with chemicals which expire over time.

C. Foods are organic matters that naturally degrade over time.

D. Food manufacturers need to set an expiration date so that buyers will consume food items before the expiration and buy new food items again.

8. Which of the following is an evidence of Plate Tectonic Theory?

I. Shapes of continents fit like a puzzle.

II. Identical rocks formed millions of years ago are found in different continents.

III. Identical fossils are found in different continents.

IV. Islands sunk and rise.

A. II and IV

B. I, II, and III

C. I and III

D. I, II, and IV

2019 Actual ALS & A&E Test - Mathematics with Answers and Solutions

Alternative Learning System (ALS)

Accreditation & Equivalency (A&E)

Review Questions

MATHEMATICS with Answers & Solutions

Read each item carefully and then select the letter of the correct answer.

1. A factory packs 25 small shirts, 30 medium shirts, and 15 large shirts in one box. If 550 boxes are packed with these shirts, how many shirts are there in all?

A. 33,000

B. 38,500

C. 44,000

D. 49,500

Answer:  B. 38,500

Solution:  25 + 30 + 15 = 70 x 550 = 38,500

2. The Nayon Homeowners Association generated Php 26,000.00 from the sale of tickets for a fund raising show. Tickets for adults cost Php 150.00 while tickets for children cost Php 100.00 If 112 tickets for adults were sold, how many tickets for children were sold?

A. 115

B. 100

C. 92

D. 88

Answer: C. 92

Solution:  150x + 100y = 26 000

150(112) + 100y = 26 000

16 800 + 100y = 26 000

100y = 26 000 – 16 800

100y = 9 200

y = 9 200/100

y = 92

3. Perform the indicated operations: 3 + 6 x 5 + 12 ÷ 3 – 7

A. 12

B. 30

C. 42

D. 44

Answer: B. 30

Solution: 3 + 6 x 5 + 12 ÷ 3 – 7 =

3 + (6 x 5) + (12 ÷ 3) – 7 =

3 + 30 + 4 – 7 =

37 – 7 = 30

4. Simplify: 150 + (20 + 5) x 2 – 100

A. 1, 000

B. 500

C. 200

D. 100

Answer: D. 100

Solution: 150 + (20 + 5) x 2 – 100 =

150 + (25) x 2 – 100 =

150 + 50 – 100 =

200 – 100 = 100

5. Lian has a daily allowance of Php 100.00. She spends Php 50.00 for snacks, Php 25.00 for transportation, and saves the rest. To solve for Lian’s saving’s S, which of the following number sentence is CORRECT?

A. S = (50 – 25) + 100

B. S = (50 + 25) – 100

C. S = 100 + (50 + 25)

D. S = 100 – (50 + 25)

Answer: D. S = 100 – (50 + 25)

6. Joan bought 2 pencils at Php 20.00 each and a ballpen for Php 30.00. How much did she pay to the storeowner?

A. C = 2 + 20 + 30

B. C = 2 + 20(30)

C. C = 2(20) + 30

D. C = 2(20) – 30

Answer: C. C = 2(20) + 30

7. A piece of wire that is 7/8 m long will be cut into 16 pieces of equal length. What is the length of each piece?

A. 128/7 m

B. 128/8 m

C. 7/2 m

D. 7/128 m

Answer: D. 7/128 m

Solution: 7/8 ÷ 16 = 7/8 x 1/16 = 7/128  (Rule on Dividing Fraction)

8. Mrs. Ruiz bought a cake for her son’s birthday. She cut 1/3 of the cake and kept it. Then she divided the remaining part equally among her 4 children. What part of the cake did each child get?

A. 1/12

B. 1/6

C. 2/3

D. 8/3

Answer: B. 1/6

Solution: 2/3 ÷ 4 = 2/3 x ¼ = 2/12 = 1/6 (Rule on Dividing Fraction & Reducing to Lowest Term)

9. Every month, the class treasurer collects Php 7.50 from each student for the class fund. If there are 45 students in a class, how much is her collection every month?

A. Php 33.75

B. Php 52.50

C. Php 337.50

D. Php 3,375.00

Answer: Php 337.50

Solution: 7.50 x 45 = 337.50

10. At the Science Centrum, Jefferson bought a T-shirt for Php 200.25, a ballpen for Php 35.50, and a book for Php 105.75. If he gave Php 500.00 to the cashier, how much change did he get?

A. Php 341.50

B. Php 158.50

C. Php 143.50

D. Php 185.50

Answer: B. Php 158.50

Solution:  500 – (200.25 + 35.50 + 105.75) =

500 – 341.50 = 158.50

11. The temperature in a certain city is given in the table below. Find the difference between the temperatures at 5 AM and 11 PM.

Time	Temperature (oF)
5 AM	-90
11 AM	100
5 PM	50
11 PM	-70

A. 20 ^oF

B. -20 ^oF

C. 10 ^oF

D. -10 ^oF

Answer: B. -20 ^oF

Solution: (-90) – (-70) = (-90) + 70 = -20 (Rule on Subtracting Integers)

12. Mother lost 3 kg of her weight when she was sick. After recovering, she gained 7 kg and then lost 2 kg. How much weight she finally lost or gained?

A. lost 2 k

B. lost 1 kg

C. gained 1 kg

D. gained 2 kg

Answer: gained 2 kg

Solution: x  = – 3 + 7 – 2

 x = -5 + 7 = 2

13. Cora lent 35 pesos to Lita. Then Cora received 50 pesos from her uncle. Then Cora’s sister borrowed from her 20 pesos. Cora also paid 18 pesos to a newsboy. Cora still had 43 pesos left. How much did she have at the start?

A. 80 pesos

B. 66 pesos

C. 26 pesos

D. 20 pesos

Answer: B. 66 pesos

Solution: x – 35 + 50 – 20 -18 = 43

x – 73 + 50 = 43

x = 43 + 73 – 50

x = 116 – 50

x = 66

14. The diagonal of the floor of a rectangular room is 10 m. The shorter side of the room is 6 m. What is the floor area of the room?

A. 48 sq. m.

B. 60 sq. m.

C. 80 sq. m.

D. 480 sq. m.

Answer: A. 48 sq. m.

Solution: Use Pythagorean Formula to solve for the longer side of the room

c ² = a² + b²

10² = 6² + b²

100 = 36 + b²

b² = 100 – 36

b² = 64

b =  sqrt 64

b = 8

Area of rectangle =  length x width

Area = 8 x 6 = 48 sq. m.

15. If the radius of the circle is 10.5 m, what is its circumference?

A. 13.64 m

B. 16.49 m

C. 32.97 m

D. 65.94 m

Answer: D. 65.94 m

Solution: Circumference (C) = 2 π r   (π = pi = 3.14; r = radius)

C = 2 (3.14) (10.5)

C = 65.94 m

16. Andrew is staying at a hotel that has L-shaped swimming pool. He wants to know the area of the pool. What is the area of the swimming pool given the dimensions below:

A. 96 m²

B. 150 m²

C. 160 m²

D. 186 m²

Answer: D. 186 m²

Solution: Total area (TA) = Area of big rectangle + Area of small rectangle

TA = (length x width) + (length x width)

TA =  (15 x 10) + [ 6 x (16 -10)]

TA = 150 + ( 6 x 6)

TA = 150 + 36

TA = 186 m²

17. The park has a rectangular garden that is 18 m long and 9 m wide. What is the area of the garden?

A. 324 sq. m.

B. 162 sq. m.

C. 54 sq. m.

D. 27 sq. m.

Answer: B. 162 sq. m.

Solution: Area of rectangle (A) = length x width

A = 18 x 9

A = 162 sq. m.

18. Compute for the surface area of a cube of side 6 m.

A. 216 cm²

B. 144 cm²

C. 108 cm²

D. 96 cm²

Answer: 216 cm3

Solution: Surface area of a cube (SA) = 6a²  (a = edge)

SA = 6(6)²

SA = 6(36)

SA = 216 cm²

19. A rectangular prism has a length of 20 cm, a width of 10 cm, and a height of 30 cm. What is its volume?

A. 6,000 cm³

B. 3,000 cm³

C. 1,400 cm³

D. 60 cm³

Answer: A. 6,000 cm³

Solution: Volume (V) = length x width x height

V = 20 x 10 x 30

V = 6000 cm³

20. In a fruit basket, there are 4 papayas, 9 guavas, and 7 mangoes. What percent of the fruits are papayas?

A. 2%

B. 4%

C. 8%

D. 20%

Answer: D. 20%

Solution: Percent (P) = (Number of papayas / Total fruits) x 100%

P = 4 / (4 + 9 + 7)

P =  4/20

P = 0.20 x 100%

P = 20%

21. A shirt costs Php 400.00. If it is on sale at 20% discount, how much will a buyer pay for the shirt?

A. Php 200.00

B. Php 320.00

C. Php 340.00

D. Php 380.00

Answer: B. Php 320.00

Solution: x = 400 – (400 x 20%)

x = 400 – (400 x 0.20)

x = 400 -  (80)

x = 400 – 80 = 320

For items 22-24. The graph below shows Ada’s activities during Saturdays

22. About how many hours Ada has spent in marketing?

A. 17

B. 16

C. 6

D. 4

Answer: D. 4

Solution: Note: there are 24 hours in one day

x = 24 x 17%

x = 24 x 0.17

x = 4.08

x = 4 hours (round off)

23. How many percent does Ada spend in cooking?

A. 12%

B. 15%

C. 17%

D. 33%

Answer: B. 15%  (See graph)

24. How many percent lesser does Ada spend in cleaning the house than in sleeping?

A. 52%

B. 42%

C. 24%

D. 14%

Answer: D. 14%

Solution: Cleaning = 19% ; Sleeping =  33%

x = 33% - 19%

x = 14%

25. Jonas has made a scale model of his proposed new house as shown in the drawing below. The house is 24 meters long. If the model scale is 1:4 in centimeters, what is the length of the house in his drawing?

A. 6 cm

B. 10 cm

C. 14 cm

D. 28 cm

Answer: A. 6 cm

Solution: 24/ 4 = 6 cm

2019 ALS A&E Actual Test - MATHEMATICS

Alternative Learning System (ALS)

Accreditation & Equivalency (A&E)

Review Questions

MATHEMATICS

Read each item carefully and then select the letter of the correct answer.

1. A factory packs 25 small shirts, 30 medium shirts, and 15 large shirts in one box. If 550 boxes are packed with these shirts, how many shirts are there in all?

A. 33,000

B. 38,500

C. 44,000

D. 49,500

2. The Nayon Homeowners Association generated Php 26,000.00 from the sale of tickets for a fund raising show. Tickets for adults cost Php 150.00 while tickets for children cost Php 100.00 If 112 tickets for adults were sold, how many tickets for children were sold?

A. 115

B. 100

C. 92

D. 88

3. Perform the indicated operations: 3 + 6 x 5 + 12 ÷ 3 – 7

A. 12

B. 30

C. 42

D. 44

4. Simplify: 150 + (20 + 5) x 2 – 100

A. 1, 000

B. 500

C. 200

D. 100

5. Lian has a daily allowance of Php 100.00. She spends Php 50.00 for snacks, Php 25.00 for transportation, and saves the rest. To solve for Lian’s saving’s S, which of the following number sentence is CORRECT?

A. S = (50 – 25) + 100

B. S = (50 + 25) – 100

C. S = 100 + (50 + 25)

D. S = 100 – (50 + 25)

6. Joan bought 2 pencils at Php 20.00 each and a ballpen for Php 30.00. How much did she pay to the storeowner?

A. C = 2 + 20 + 30

B. C = 2 + 20(30)

C. C = 2(20) + 30

D. C = 2(20) – 30

7. A piece of wire that is 7/8 m long will be cut into 16 pieces of equal length. What is the length of each piece?

A. 128/7 m

B. 128/8 m

C. 7/2 m

D. 7/128 m

8. Mrs. Ruiz bought a cake for her son’s birthday. She cut 1/3 of the cake and kept it. Then she divided the remaining part equally among her 4 children. What part of the cake did each child get?

A. 1/12

B. 1/6

C. 2/3

D. 8/3

9. Every month, the class treasurer collects Php 7.50 from each student for the class fund. If there are 45 students in a class, how much is her collection every month?

A. Php 33.75

B. Php 52.50

C. Php 337.50

D. Php 3,375.00

10. At the Science Centrum, Jefferson bought a T-shirt for Php 200.25, a ballpen for Php 35.50, and a book for Php 105.75. If he gave Php 500.00 to the cashier, how much change did he get?

A. Php 341.50

B. Php 158.50

C. Php 143.50

D. Php 185.50

11. The temperature in a certain city is given in the table below. Find the difference between the temperatures at 5 AM and 11 PM.

Time	Temperature (oF)
5 AM	-90
11 AM	100
5 PM	50
11 PM	-70

A. 20 ^oF

B. -20 ^oF

C. 10 ^oF

D. -10 ^oF

12.Mother lost 3 kg of her weight when she was sick. After recovering, she gained 7 kg and then lost 2 kg. How much weight she finally lost or gained?

A. lost 2 k

B. lost 1 kg

C. gained 1 kg

D. gained 2 kg

13. Cora lent 35 pesos to Lita. Then Cora received 50 pesos from her uncle. Then Cora’s sister borrowed from her 20 pesos. Cora also paid 18 pesos to a newsboy. Cora still had 43 pesos left. How much did she have at the start?

A. 80 pesos

B. 66 pesos

C. 26 pesos

D. 20 pesos

14. The diagonal of the floor of a rectangular room is 10 m. The shorter side of the room is 6 m. What is the floor area of the room?

A. 48 sq. m.

B. 60 sq. m.

C. 80 sq. m.

D. 480 sq. m.

15. If the radius of the circle is 10.5 m, what is its circumference?

A. 13.64 m

B. 16.49 m

C. 32.97 m

D. 65.94 m

16. Andrew is staying at a hotel that has L-shaped swimming pool. He wants to know the area of the pool. What is the area of the swimming pool given the dimensions below:

A. 96 m²

B. 150 m²

C. 160 m²

D. 186 m²

17. The park has a rectangular garden that is 18 m long and 9 m wide. What is the area of the garden?

A. 324 sq. m.

B. 162 sq. m.

C. 54 sq. m.

D. 27 sq. m.

18. Compute for the surface area of a cube of side 6 m.

A. 216 cm²

B. 144 cm²

C. 108 cm²

D. 96 cm²

19. A rectangular prism has a length of 20 cm, a width of 10 cm, and a height of 30 cm. What is its volume?

A. 6,000 cm³

B. 3,000 cm³

C. 1,400 cm³

D. 60 cm³

20. In a fruit basket, there are 4 papayas, 9 guavas, and 7 mangoes. What percent of the fruits are papayas?

A. 2%

B. 4%

C. 8%

D. 20%

21. A shirt costs Php 400.00. If it is on sale at 20% discount, how much will a buyer pay for the shirt?

A. Php 200.00

B. Php 320.00

C. Php 340.00

D. Php 380.00

For items 22-24. The graph below shows Ada’s activities during Saturdays

22. About how many hours Ada has spent in marketing?

A. 17

B. 16

C. 6

D. 4

23. How many percent does Ada spend in cooking?

A. 12%

B. 15%

C. 17%

D. 33%

24. How many percent lesser does Ada spend in cleaning the house than in sleeping?

A. 52%

B. 42%

C. 24%

D. 14%

25. Jonas has made a scale model of his proposed new house as shown in the drawing below. The house is 24 meters long. If the model scale is 1:4 in centimeters, what is the length of the house in his drawing?

A. 6 cm

B. 10 cm

C. 14 cm

D. 28 cm

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