This document contains a math test with multiple choice and word problems covering ratios, proportions, percentages, and other math concepts. There are 10 multiple choice questions in part A testing ratios and proportions. Part B has 8 word problems involving finding missing values in proportions. Part C asks to convert fractions to percentages. Part D poses word problems requiring calculating percentages of given values. The challenges section poses 10 additional word problems on various math topics.

1. MTAP (Grade
6)
Saturday
Class
SESSION 2

2. A. Give the ratio of the following. Simplify your answer.
1. 15 boys to 24 girls =
2. 16 computers to 48 students =
3. 300 eggs to 15 trays =
4. 50 rooms to 1000 chairs =
5. 𝟓. 𝟒𝟎𝟎 𝒃𝒐𝒐𝒌𝒔 𝒕𝒐 𝟓 𝒔𝒉𝒆𝒍𝒗𝒆𝒔 =
5 : 8
1 : 3
20 : 1
1 : 20
80 : 1

3. A. Give the ratio of the following. Simplify your answer.
6. 12 hours to a day =
7. 1 hour to 20 minutes =
8. 75 centimeters to 3 meters=
9. 30 doctors to 180 patients =
10. 𝟏. 𝟓 𝒎𝑳 𝒕𝒐 𝟐 𝑳𝒊𝒕𝒆𝒓𝒔 =
1 : 2
3: 2
1 : 4
1 : 6
3 : 4

4. B. Find n to complete the following proportions.
1. 12 :n = 36 : 30 5. 20:n = 12:21
2. 1:6 = 6:n 6. 22:33 = n:9
3. 8:12 = n:24 7. 9:n = n:25
4. n:18 = 10:12 8. n:4 = 9:n
𝒏 = 𝟏𝟎
𝒏 = 𝟑𝟔
𝒏 = 𝟏𝟔
𝒏 = 𝟏𝟓
𝒏 = 𝟑𝟓
𝒏 = 𝟔
𝒏 = 𝟏𝟓
𝒏 = 𝟔

5. C. Change each fraction to percent. Round each answer
to the nearest tenth of a percent.
1.
𝟑
𝟒
5.
𝟗
𝟐𝟓
2.
𝟑
𝟓
6.
𝟏𝟑
𝟐𝟎
3.
𝟒
𝟗
7.
𝟑
𝟖
4.
𝟕
𝟏𝟎
8.
𝟐𝟕
𝟓𝟎
𝟕𝟓%
𝟔𝟎%
𝟒𝟒. 𝟒𝟖%
𝟕𝟎%
𝟑𝟔%
𝟔𝟓%
𝟑𝟕. 𝟓%
𝟓𝟒%

6. D. Give what is required.
1. 25% of 360
2. 2. 8% of 200
3. 3. 60% of 480
4. 4. 48 is what percent of 120?
𝟗𝟎
𝟏𝟔
𝟐𝟖𝟖
𝟒𝟎 %

7. D. Give what is required.
5. What percent of 24 is 18?
6. 15 is what percent of 75?
7. 100 is what percent of 500?
8. 24 is what percent of 180?
𝟕𝟓%
𝟐𝟎%
𝟐𝟓𝟎
𝟏𝟔𝟎

8. E. Complete the table.
Amount Principal Rate Time in years
? ₱25,000 8% 5
₱25,200 ? 10% 4
₱32,000 ₱20,000 ? 3
₱32,500 ₱25,000 5% ?
? ₱100,000 2% 8
₱ 35,000
₱ 18,000
20%
6
₱ 116,000

9. 1. The weight of 80 books is 160 kg. What is the weight of
25 books?
F. Answer the following problems.
Weight of one book : 160 kg ÷ 80 = 2 kg
Weight of 25 books: 25 x 2 kg = 50 kg

10. 2. The ratio of two numbers is 3:5. If the sum of the two
numbers is 400, what are the two numbers?
3 : 5 sum is 8
6 : 10 sum is 16
12 : 20 sum is 32
24 : 40 sum is 64
48 : 80 sum is 128
96 : 160 sum is 256
150 : 250 sum is 140
Other solution:
Let n is scale factor then,
3n + 5n = 400
8n = 400
The number to be multiplied to
8 to come up with 400 is 50.
3 x 50 = 150 5 x 50 = 250

11. 3. Before pandemic, a sack of rice costs P1,200. The price
has increased by 5%. What is the present cost of a sack of
rice?
5% 0f 1,200: .05 x 1,200 = 60
Present price : 1,200 + 60
Sack of rice: ₱1,260

12. 4. A certain public school in your city has 800 girls
among its 1260 students. What is the ratio of boys to girls
in the school?
1,260 students: 800 girls: 460 boys
The ratio would be: 460 : 800
23 : 40

13. 5. On a shelf, Math books and that of the Science books
are in the ratio 4:5. If there were 32 Math books, then
how many Science books are there?
Math : Science = Math : Science
4 : 5 = 32 : Sci
Product of the means = Product of the extremes
Science = 40

14. 6. If ₱500 is divided among Thomas and Joseph in the
ratio 3:2, then Joseph’s share is how much?
Solution:
Let n is scale factor then,
3n + 2n = 500
5n = 500
The number to be multiplied to
5 to come up with 500 is 100.
Thomas: 3 x 100 = 300 Joseph: 2 x 100 = 200

15. 7. It takes 60 minutes for 3 pipes to water the field. How
much time it will take to water the field with 6 pipes?
minutes x pipe = minute x pipe
minutes x 6 = 60 x 3
6(minute) = 180
The number to be multiplied to 6 to come up with 180 is 30.
30 minutes

16. 8. Daniel scores 70% in a spelling test with 20 questions.
How many did he get right?
70% of 20: .70 x 20 = 14
14 items

17. 9. A computer store made a markup of 40%. Find the
selling price of a computer set that cost the retailer
₱18,000.
40% 0f 18,000: .40 x 18,000 = 7,200
Present price : 18,000 + 7,200
Computer Set price: ₱ 25,200

18. 10. A Barbie dream house worth ₱2,400 is reduced by
30% in a sale. How much is the selling price??
30% of 2,400: .30 x 2,400 = 720
Selling price : 2,400 + 720
Sack of rice: ₱3,120

19. CHALLEN
GE !

20. 1. Anna gets a salary of P25,000 while Paula gets P8,400
more per month. What is the ratio of the salaries of Anna
and Paula?
25,000 for Anna: 8,400 for Paula
The ratio would be: 25,000 : 8,400
125 : 42

21. 2. A cafeteria has enough food for 125 students for 16
days. How long will the food last if 75 more students join
them?
total students: 125 + 75 = 200
students : days = students : days
125 : 16 = 200 : days
Product of the means = Product of the extremes
125 (days ) = 3,200
25 days
days = 25.6

22. 3. In a test, the ratio of the right answer to the wrong
answer of Athena is 5:3. If she got 18 wrong answers, how
many questions were there?
Right ans : Wrong ans = Right ans : Wrong ans
5 : 3 = right ans : 18
Product of the means = Product of the extremes
3 (right ans ) = 90
Number of questions is 18 + 30 = 48
Right ans = 30

23. 4. If a bus travels 160 km in 4 hours and a train travels 320
km in 5 hours at uniform speeds, then what is the distances
travelled by them in one hour?
the bus travels in 1 hour is: 160 km ÷ 4 = 40 km
Thus the distance between them is: 64 km – 40 km
24 km
the train travels in 1 hour is: 320 km ÷ 5 = 64 km

24. 5. 500 soldiers in a fort had enough food for a month. After
12 days, some soldiers were sent to another fort and thus
the food lasted for 32 more days. How many soldiers left
the fort? (Note: 1 month = 30 days)
no. of soldiers x days = no. of soldiers x days
500(30) = (500 – n)(30 – 12 + 32) The number to be
multiplied to -50
to come up with
-10000 is 200.
200 soldiers
500(30) = (500 – n)(50)
15000 = 25000 – 50n
15000 - 25000 = – 50n
-10000 = – 50n

25. 6. In a survey, 20% of the 300 college students under 20
years old did not know how to ride a bike. How many
college students know how to ride a bike?
20% of 300: .20 x 300 = 60
Present price : 18,000 + 7,200
Students knows how to drive
300 - 60 = 240 students

26. 7. In a class of 60 students, 24 of them are girls. How many
percent are boys?
What percent of 24 is 60: percent ( 60 ) = 36
Percent = 36 ÷ 60 = .6 or 60%
Number of boys : 60 - 24 = 36

27. 8. In a packet of M&Ms chocolate candy, the ratio of red to
blue to green M&Ms is 3:2:4. If there are 180 chocolate
coated candies in a packet, how many chocolate candies of
each color are there?
red : blue : green = 3 : 2 : 4
solution: let n is scale factor then,
3n + 2n + 4n = 180
9n = 180
The number to be multiplied to
9 to come up with 180 is 20.
3 x 20 = 60
2 x 20 = 40
4 x 20 = 80

28. 9. The selling price of a pair of rubber shoes is ₱1,250
which is marked down by 15%. What was the original
price?
Original price - (15% original price) = ₱ 1,250
Original price - .15 original price) = ₱ 1,250
.85 original price = ₱ 1,250
original price = P 1,250 ÷ .85 = ₱1,470.58

29. 10. Marilou sells a branded bag to Maricel at 15% profit.
Maricel sells the same item to Michele at 20% profit. If
Michele pays ₱6,624 for it, what is the price of the bag at
which Maricel bought the item?
orig P + (15% orig P) = 1.15 orig P
1.15 orig P + (20% 1.15 orig P) = 1.15 orig P + .23 orig P
= 1.38 orig P
1.38 original price = ₱ 6,624
original price = ₱ 6,624 ÷ 1.38 = ₱ 4,800