The document contains a variety of routine and non-routine math problems involving basic arithmetic and geometry. Solutions include calculating the number of days in weeks, perimeter of a rectangle, area of a pond, changes from purchases, and more complex scenarios with the combination of items while maintaining a budget. It also explores least common multiples and time calculations.

1. Routine and Non-
Routine Problems
NNS2 – Fractions Group

2. Routine Problems

3. 1. How many days in 30 weeks?
Solution:
1 week = 7 days
7 x 30 = 210 days
There are 210 days in 30 weeks.

4. 2. A rectangular lot has a length of 20
cm and a width of 10 cm. What is the
perimeter of the rectangular lot?
Solution:
P = 2L + 2W
= (2 x 20cm) + (2 x 10cm)
= 40 cm + 20 cm
P = 60 cm

5. 3. A rectangular pond has an area of
56 cm2. If the width of the pond is
7cm, what is its length?
Solution:
56 cm2 ÷ 7 cm = 8 cm
The length of the rectangular pond is
8 cm.

6. 4. Gail baked a banana cake. She gave
1
8
of
the cake to Jane and
2
4
to May. What part
of the cake was left with Gail?
Solution:
1
8
+
2
4
=
1
8
+
4
8
=
5
8
8
8
-
5
8
=
3
8
3
8
was left of
the banana
cake

7. 5. Manny bought a half kilo of mangoes
worth Php 60.50. If he gave Php 100 to
the vendor, how much was his change?
Solution:
Php 100 - Php 60.50 = Php 39.50
Php 39.50 was Manny’s change.

8. Non-Routine Problems

9. 1. There are 18 animals in a pet
store. Some are birds and
some are dogs. If there are 50
legs in all, how many birds
and how many dogs are
there?

10. Solution:
18 x 2 = 36
50 – 36 = 14 excess legs
14 ÷ 2 = 7
18 – 7 = 11
There are 7 dogs and 11 birds in a pet store.

11. 2. If the divisor is 1 000 and the quotient
is 2 with the a remainder of 346, What is
the dividend?
Solution:
1 000 x 2 = 2 000
2 000 + 346 = 2 346
The dividend is 2 346.

12. 3. Jenny went to the market to buy
kilos of rice which cost Php 52.00 per
kilo and whole chicken which cost Php
170.00 per kilo. If she has Php 1 000, how
many kilos of rice and whole chicken can
she buy and still has a change of Php
60.00?

13. Solution:
Guess and Check Method
Php 1 000 - Php 60 = Php 940 (money to be
spend for the whole
chicken and kilo of rice)
Php 170 x 4 = Php 680
Php 52 x 5 = Php 260
Php 680 + Php 260 = Php 940
Jenny will buy 5 kilos of rice and 4 kilos of whole
chicken and she still has Php 60 change.

14. 4. A batch of cookies can be
divided into equal shares among
2, 3, 4, 5, or 6 people with no left
over. What is the least number of
cookies that the batch could
have?

15. Solution:
2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26,
28,
30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50,
52, 54, 56, 58, 60
3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39,
42,
45, 48, 51, 54, 57, 60
4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48,
52,

16. 5. Lito plans to watch T.V. for 2
hours and 30 minutes. He
wants to start at 7:45 P.M.
What time do you think he will
finished watching T.V.?

17. Solution:
7:45 P.M.
+ 2:30 – 2 hours and 30 minutes
9:75 – Since there are only 60 min in an
hour, 75 – 60 = 15. Then add 1 to 9 = 10
Therefore, Lito will end at 10:15 P.M.

18. Thank You
for Listening!
