The document contains a math worksheet with multiple-choice and word problems involving integers, addition, subtraction, multiplication, division, and other basic math operations. Some example problems include representing situations with integers, comparing and ordering integers, and solving word problems about money, temperatures, distances, and rates. The document provides the steps to solve each problem.

1. MTAP (Grade
6)
Saturday
Class
SESSION 3

2. A. Represent the following situations with integers.
1. winning by 10 points
2. a gain of 8 lbs. of weight
3. reduced in price by P100
4. 25% increase of enrollees
5. a fall of 20 points
𝟏𝟎
𝟖
−𝟏𝟎𝟎
𝟐𝟓
-𝟐𝟎

3. A. Represent the following situations with integers.
6. 50 meters above sea level
7. A price rollback of P6.00
8. P250 loss in an account
9. 16 km south
10. 12 steps forward
𝟓𝟎
−𝟔
−𝟐𝟓𝟎
−𝟏𝟔
𝟏𝟐

4. B. Use >, < or = to compare the following pairs of integers.
1)–12 _____ 12 7) 60 _____ – 15
2)–10 _____ –14 8) – 46 _____ – 52
3)–27 _____ 0 9) – 5 _____ – 1
4) 38 _____ 15 10) 18 _____ – 33
5)–200 _____–100 11) – 45 _____ –52
6)–72 _____ –49 12) 50 _____ – 1
<
>
<
>
<
<
>
>
<
>
<
>

5. C. Arrange the following sets of integers in ascending order.
1. 0, –2, 4, –5, 5
2. –7, 0, –10, –4, –1
3. –20, –9, –15, –45, –33
4. –6, 3, 0, –9, –3
5. –12, –21, –32, –23, –19
−𝟓, −𝟐, 𝟎, 𝟒, 𝟓
−𝟏𝟎, −𝟕, −𝟒, −𝟏, 𝟎
−𝟒𝟓, −𝟑𝟑, −𝟐𝟎, −𝟏𝟓, −𝟗
−𝟗, −𝟔, −𝟑, 𝟎, 𝟑
−𝟑𝟐, −𝟐𝟑, −𝟐𝟏, −𝟏𝟗, −𝟏𝟐

6. C. Arrange the following sets of integers in ascending order.
6. –34, –38, –35, –30, –37
7. –64, –28, –45, –70, –45
8. 56, –45, –67, 39, –78
9. –35, 29, –42, 0, –27, 14
10. 62, –23, –40, 47, –1
– 𝟑𝟖, – 𝟑𝟕, – 𝟑𝟓, – 𝟑𝟒, – 𝟑𝟎
– 𝟕𝟎, – 𝟔𝟒, – 𝟒𝟓, – 𝟐𝟖, – 𝟏𝟒
– 𝟕𝟖, – 𝟔𝟕, – 𝟒𝟓, 𝟑𝟗, 𝟓𝟔
– 𝟒𝟐, – 𝟑𝟓, – 𝟐𝟕, 𝟎, 𝟏𝟒, 𝟐𝟗
– 𝟒𝟎, – 𝟐𝟑, – 𝟏, 𝟒𝟕, 𝟔𝟐

7. D. Add the following integers.
1) – 8 + 10 =
2) – 12 + – 14 =
3) 17 + (–20) =
4) –24 + (–16) =
5) –10 + (–15) =
𝟐
−𝟐𝟔
−𝟑
−𝟒𝟎
−𝟐𝟓

8. D. Add the following integers.
6) 28 + (–13) =
7) (–43) + (–56) =
8) (–70) + 44 =
9) (–54) + (–28) =
10) 98 + (–62) =
𝟏𝟓
−𝟗𝟗
−𝟐𝟔
−𝟖𝟐
𝟑𝟔

9. E. Subtract the following integers.
1. 8 – 16 = 6. (–20) – 28 =
2. (–10) – 14 = 7. (–45) – (–33) =
3. 17 – (–11) = 8. 37 – (–42) =
4. 12 – (–20) = 9. (–22) – (–33) =
5. –16 – 16 = 10. (–44) – (44) =
−𝟖
−𝟐𝟒
𝟐𝟖
𝟑𝟐
−𝟑2
𝟒𝟖
−𝟏𝟐
𝟕𝟗
𝟏𝟏
𝟎

10. F. Find the product.
1. 8 x (–3) = 6. (–25) x (–6) =
2. –6 x –5 = 7. 43 x (–7) =
3. –9 x 10 = 8. 10 x (–6) x 0 =
4. –11 x –8 = 9. –8 x 4 x –3 =
5. (–33) x 8 = 10. –5 x –6 x –2 =
−𝟐𝟒
𝟑𝟎
-90
𝟖𝟖
−𝟐𝟔𝟒
𝟏𝟓𝟎
−𝟑𝟎1
0
𝟗𝟔
−𝟔𝟎

11. G. Find the quotient.
1. 15 ÷ (–3)= 6. –80 ÷ (–8)=
2. –27 ÷ 9 = 7. –108 ÷ 9 =
3. –48 ÷ (–8) = 8. 120 ÷ (–6) =
4. 56 ÷ 7 = 9. –96 ÷ (–4) =
5. 36 ÷ (–4) = 10. 204 ÷ (–12) =
−𝟓
−𝟑
6
𝟖
−𝟗
𝟏𝟎
−𝟏𝟐
-20
𝟐𝟒
−𝟏𝟕

12. H. Fill in the blanks with the correct integer.
1. 3 + ______ = –8 7. ______ x (–4) = 12
2. 4 + ______ = 10 8. ______ x (–5) = –20
3. ______ + 12 = –10 9. (6) x ______ = –48
4. –9 – _______ = 3 10. –36 ÷ ______ = 9
5. _______ – 12 = 15 11. 56 ÷ _______ = –7
6. 18 – _______ = –12 12. –12 ÷ ______ = 4
(−𝟏𝟏)
𝟔
− 22
(−𝟏𝟐)
𝟐𝟕
𝟑𝟎
𝟏𝟐
−𝟐𝟎
(−48)
(−𝟒)
(− 8)
(−𝟑)

13. 1. A man was in the 5th floor while another was on the
1st floor. What was the distance between them if the
distance between floors is 12ft?
F. Answer the following problems.
Distance between them:
12 x 4 = 48 ft
1st floor
2nd floor
3rd floor
4th floor
5th floor
12 ft

14. 2. Kevin withdrew P800 from his savings account. Then
he used his debit card to buy groceries for P2,500. What
was the total amount Kevin took out of his account?
800 + 2 500 = ₱ 3, 300

15. 3. The temperature at noon is 40 degrees. The
temperature fell eighteen degrees at night. What is the
temperature then?
40 - 18 = 22 degrees

16. 4. Jane bought two T-shirts for her brothers at ₱180.00
each and a purse for herself for ₱55.50. If she gave the
cashier a ₱500.00 bill, how much was her change?
Total expenses: 2( 180.00) + 55.50
change: P 500.00 - 415.50 = P 84.50
= 360.00 + 55.50
= 415.50

17. 5. A worker in a company earns ₱2 742.00 in a 6-day week,
working from Monday to Saturday. a. How much does he
earn in day? b. How much does he earn in a month of four
weeks?
To find his daily earning:
= P 2,742.00 ÷ 6
= P 452.00
To find his monthly earning:
= P 2,742.00 x 4
= P 10,968

18. 6. I am a number between 1 and 10. My tenths digit is 2
less than my ones digit; my hundredths digit is the sum of
my ones and tenths digits; my thousandths digit is 1 more
than my hundredths digit. What numbers can I be?
3 1 4 5

19. 6. I am a number between 1 and 10. My tenths digit is 2
less than my ones digit; my hundredths digit is the sum of
my ones and tenths digits; my thousandths digit is 1 more
than my hundredths digit. What numbers can I be?
4 2 6 7

20. 6. I am a number between 1 and 10. My tenths digit is 2
less than my ones digit; my hundredths digit is the sum of
my ones and tenths digits; my thousandths digit is 1 more
than my hundredths digit. What numbers can I be?
5 3 8 9

21. 7. A two-burner electric stove cost ₱1 250. Marge wants
to buy one but she has only ₱875. How much more does
she need to save to buy one.
She needs to earn: P 1,250.00 - P875.00
= P 375.00

22. CHALLEN
GE !

23. 1. The product of three integers is –72. If two of the
integers are –4 and –6, what is the third integer?
let the 3rd no. be n then:
( - 4) ( - 6 ) ( n ) = - 72
( 24 ) = - 72
What number must be multiplied to 24 to come up
with – 72?
n = - 3

24. 2. A P2P bus route from point A to point B. A bus departed from Point A at
12 noon with 44 passengers. An hour later, a few passengers got off at point
B. The passengers who boarded the bus at Point B were twice the number of
passengers who got off the bus. If the bus has 50 passengers now, how many
passengers got off at Point B?
Let n are passengers got off at point B.
At point B, the number of passengers be:
44 - n + 2n
The equation be:
44 - n + 2n = 50
44 + n = 50
What number to must be
added to 44 to come up
with 50?
n = 6,
passengers got off at point B

25. 3. 331 students went on field trip. Six buses were filled and
7 students travelled in cars. How many students were in
each bus?
To get the number of students who were in the buses.
331 - 7 = 324
To get the number of students in each bus bus.
324 ÷ 6 = 54

26. 4. Harry won 500 tickets while playing car race in an
arcade. Later, he gave 60 to each of his friends. He only has
50 remaining tickets. How many friends does he have?
500 - 80 = 420
7 friends
420 ÷ 60 =

27. 5. What number must be subtracted from the product of -
12 and 3 to produce -15?
Let the number be n, then:
( 12 x 3) - ( n ) = - 15
36 - n = - 15
n = 51

28. 6. What is the smallest positive integer multiplied to 24
results to a perfect square?
Perfect square numbers are 1, 4, 9, 16, 25, 36, 49, 64,…
Factor 24 such that one factor is a perfect square :
4 x 6
Multiply the none perfect square factor by 24:
24 x 6 = 144
144 is a perfect square

29. 7. Jamie bought a few marbles and divide it equally among
four of her friends and her brother, John. While playing
John lost 2 marbles and has only 7 marbles left. Find how
many marbles Jamie bought in all?
To get her share from the start before they play:
7 + 2 = 9
To get the number of marbles:
9 x ( 4 + 1 + 1 ) = 54

30. 8. A newspaper boy sold 150 newspapers on Saturday and
165 on Sunday. If each newspaper costs ₱26.50, and he gets
25 cents per paper, how much newspaper did he sell in two
days? How much did he earn on the two days?
To get the number of sold news paper:
150 + 165 = 315
To get his sell in two days:
315 x P 26.50 = P 8,347.50
To get his earning in two days:
315 x .25 = P 78.50