DepEd – MTAP Math Challenge

GRADE V

1. Write “four million, thirty four
thousand, eighty” in Hindu-Arabic Numerals.

2. What digit is in ten thousands place
in 73 764 789?

3. What is the smallest digit that can
be placed in the blank to make 2_563>22562?

4. How many times as great is the value
of the underlined 7 than 7 which is not underlined in 9

__7__856 754?
5. How many times will you multiply 10
by itself to get 1 000 000?

6. How many P500-bills are equal to P12
000.00?

7. Round 45 872 871 to the nearest ten
thousand.

8. What number us 6 245 more than 34
657?

9. What is the largest prime number
lower than 10?

10. What is the product of the prime
numbers less than 10?

11. Which of 2, 3, 4, 5, 6, 7 and 8
is/are not factor/s of 1 260?

12. What 5 x + 7 x + 9 x + 7 in standard form.

13. What is the GCF of 15 and 30?

14. Write the LCM of 15 and 30 as product of
its prime factors.

15. How many multiples of 10 are there in
numbers 1 to 328?

16. What is the remainder when 5 439 is
divided by 36?

17. In 43 _32 what is the highest digit that
can be placed in the blank to make the number divisible by 8?

18. What digit can be placed in the blank
that will make 8_4 – 357 = 517 a true sentence?

19. If you have P150, how many apples
that cost P8.50 each can you buy?

20. A rectangular tank is 1.8m long, 1.4m
wide and 1.2 high. What is its volume in letters?

21. What is 14 x 30 ÷ 15?

22. What is the value of –

23. The even number is 918 is twice what odd
number?

24. In three tests, Rod got 56, 48 and 76.
What was his average score?

25. Change 145/7 to a mixed number?

26. How many 84ths are equal to 5/7?

27. Reduce 156/221 to lowest terms.

28. I multiplied 11111 x 11111, what us the
largest even digit in the product?

29. The ratio of Grade 4 to Grade 5 pupils is
3:5. The ratio of Grade 5 to Grade 6 pupils is 5:7, if there are 55 pupils in
Grade V, how many Grade 6 are there?

30. Marga has a few boxes of muffins. Each
box contains 14 muffins and costs P73.00. If she sells each muffin for P8.50,
how much is her profit for selling 5 boxes of muffins?

31. A car tank is 3/5 full. After using 6
liters, it is only 9/20 full. How many liters does it hold when full?

32. Thrity men can do a job in 6 days. How
many men with equal ability are needed to finish the same job in four days?

33. The sum of five consecutive counting
numbers is 185, what is the sum of all the digits of these numbers?

34. Fourty-five percent of the teachers in
Grade V are females, what is the ration of male teachers to the female teachers
in Grade V?

35. When the clock reads 103:30, what kind of
angle is formed by the hands of the clock?

36. Michael left his office and drove 45 minutes
to a meeting that lasted 2 hours and 20 minutes. He drove another 20 minutes
before arriving home at 5:00 p.m. What time did he leave his office?

37. An aquarium is 40 x 30 x 50. If it
contains 48 000 cubic cm of water, what percent of its capacity is not filled
with water?

38. In a pyramid with square base, how many
triangular faces are there?

39. A rectangular field is 25 meter by 30
meter. If Miko runs around it 3.5 times and he runs for 50 meters per minute.
How long will it take him to complete 5 rounds

40. The vertex angle of an isosceles triangle
is more than the base angle.
Find the measurement of each angle.

41. The perimeter of a square is twice the
perimeter of an equilateral triangle. How long is the side of a square if the
side of an equilateral triangle is 20cm?

42. Jose has a rectangular block of wood that
measures 30cm x 15cm x 45 cm. if he wants to cut it in cubes that measures 5cm
x 5cm x 5cm, how many smaller cubes would there be?

43. The perimeter of a garden measures 34
meters. If the width is 7 cm shorter than the length, what is the area of the
garden?

44. A rectangle is 12cm long and 5cm wide.
What is its diagonal?

45. A board measuring 216 square dm is to be
cut into 3 pieces in the ratio of 2:4:3, what is the smallest size of board
that can be cut from it?

46. A rectangle is 3 cm by 12 cm. If a
minimum number of such rectangles are placed side by side to form a square,
what is the area of the square?

47. What is the area of a lot with the length
of 15 m and width of 8m?

48. A family uses a circle graph to represent
its monthly expenses. If 45% is spent on food, how many degrees is the sector
in the circle graph for food?

49. There are bicycles and tricycles parked
along a road. There are 29 wheel and 11 vehicles. How many bicycles are there?

50. The marked price P240.00 of a dress
includes a 20% gain. What is its buying price?

METROBANK-MTAP-DEPED MATH CHALLENGE
DISTRICT ELIMINATION

GRADE VI

1. Supply the missing number: 3, 8, 15, 24,
__, __, 63.

2. Complete the following pattern: 1, 8, 27,
64, __, 216.

3. The sum of five times a number and twelve
is 32. Find the number.

4. The sum of two numbers is 50 and their
difference is 12. What are the two numbers?

5. The average of 10 numbers is 12. If one
number is removed, the average is 11. What number is removed?

6. Find the result of the following : 4 +{8 –[V5 +( 8 – 3 – 4)]} = ______

7. Write the correct value on the blank: 3 +10 ÷ 5 x 2 + 4 – (4 + 3 x
2) = _____

8. Write the correct operation sign ( +, -, x, ÷ ) to get the
indicated results. Use a sign once in every number: 5 ___ 7 ___ 10 ___ 1 ___ 5
= 40

9. How many 25 cents are there in a thousand?

10. IF an apple cost P25.00 per 3 pieces, an orange P5.00 each and a
pear P10.00 per 3 pieces, how much will Sally pay if she wants to buy a dozen
of each?

11. Timmy saw a 30% shoe sale in a supermarket. The discounted price
of the shoes is 840 pesos. How much is the original price of the shoes?

12. If the area of rectangle is 52 and the length is twice the width increased by
five. What is the length and width of the rectangle?

13. A paint mixture contains yellow, blue and red in a 3 : 2 : 1
ration respectively. If the mixture contains twelve pints are there altogether?

14. The number of telephones in Pasig City is 48, 000. If there are
375 phones per 00 people, what is the total population of Pasig City?

15. The average grade of 10 students on a test is 74%. What should be
the grade of the eleventh students to bring new class average to 75%?

16. One – twelfth of the product of 8, 3 and 2 is ____.

17. Arrange the following fractions from least to greatest:

18. Dividing by 2 is the same as multiply by a decimal number _______

19. On a test of 50 questions, Randy answered 47 correctly. How many
percent did he answer incorrectly?

20. A trader raises the price of a P100 – item by 20%. After finding
that he cannot sell the item at the higher price; he discounts it by 20%. What
is the final price of the item?

21. 15% of 500 is equal to 7.5% of _____.

22. In planning for an outing, the group purchases enough hotdogs to
allow each of the 30 expected persons who will join 5 hotdogs. If 5 fewer
actually joined, how much more hotdogs will each one get?

23. 10 sacks of palay need 4 days to dry
under the sun. How many days are needed to dry 100 sacks of palay under the
same condition in another place?

24. A 140 cm stick is cut so that one part is
of the other. How long is
the shorter segment?

25. There are 570 students in school. If the
ratio of the female to male is 7:12. How many male students are there?

26. Find the average of all numbers from 1 to
100 that end in 8.

27. A shirt costs a man P488.00 after he
received a 20% discount. What is the original cost of the shirt?

28. Instead of multiplying the number by 17,
Jose divided it by 17. If the answer he obtained was 1, what should have been
the correct answer?

29. Is the ratio of the circumference to the
diameter of all circles always the same?

30. How many ’s are there in ?

31. What will be the effect in volume of a
rectangular prism if each of its dimensions is doubled?

32. The area of a rectangular lot is 414 and the perimeter is 82
ft. what are the dimensions of the rectangular lot?

33. In a bag of marbles, the ration of the
number of green marbles to the number of blue marbles is 4 to 5. If there are
48 marbles, how many blue marbles are in the bag?

34. A certain factory employs 60 workers. If
4 out of every 5 workers are married, how many married workers are employed by
factory?

35. Which of the following: 48, 36, 18, 54,
72 Is divisible by 2, 3, and 6 but not by 18?

36. How many factors do 18 and 24 have in
common?

37. A group of six members gathered for a
special meeting. Each member has to shake hands with all the other members.
Find the total number of handshakes made?

38. A student has 4 different books. In how
many ways can he arrange them in bookshelf?

39. A card is drawn from a deck. What is the
probability that the card drawn is an ace?

40. A basket of 20 apples, three of which are
rotten. If an apple is selected, what is the probability that it is good?

41. Joshua studied for 19.25 hours over a
period of 4.05 days. On the average, how much did he study each day?

42. A vendor delivered 12.3 kg, 7.0kg,
19.65kg, 2.34kg, 0.235 kg and 19kg of mange fruits to different fruit stores.
How many kg in all did he deliver?

43. Ronald is buying a mobile phone. He will
save P650.00 if he gets 20%. What is the original price of the phone?

44. A triangle has a perimeter of 180 cm. the
lengths of three sides are in the ratio of

5
: 7 : 8. What is the length of the longest side?

45. The rice field land preparation can be
completed by 8 farmers in 25 days. If 7 more farmers join the team 5 days after
starting work on the job, how many more days are needed to complete the job?

46. It takes 85 identical rectangular prism/
solid to fill of a cube. If each
rectangular prism has a volume 7 . What is the volume of the box?

47. If the length of a rectangle is increased
by 30% and its width is increased by 60%, by what percentage is the area
increased?

48. The measures of the angles of a triangle
are in the ratio 3 : 7 : 8. What is the measure of the second to largest angle?

49. If two angles are complementary and one
measure 73.4, what is the measure of the other angle?

50. What is the sum of -15, -38, + 45 and
+12?

**District Mathematics Competition**

**Team Competition (pupil Category)**

**Easy:**

1.
What is the 78/10
in mixed form in lowest term?

2.
How many eights
are there in 5?

3.
What number
multiplied by itself will have the same product as 4 and 9?

4.
What is the
Greatest Common Factor of 12, 18, and 36?

5.
The product of
two numbers is 1 if one number is 2/3, what is the other number?

6.
Write in Roman
Numerals the number that is 1 greater than 49.

7.
Subtract 360 from
the sum of 345 and 365.

8.
A streamer is 3.5
m long. How long is it in centimetres?

9.
If you change 320
pesos in 5 peso coins, how many coins will you have?

10. How much more is the product of 4x4 than the sum of 4
and 4?

**Average:**

1.
The total length
of all the edges of a cubes is 72 cm, what is its volume?

2.
In a grocery
store apple cost P 18 each. If I buy a dozen at a vendor outside, the apple
cost P185 a dozen. How much would I save If I buy outside?

3.
Give three
fractions between ½ and ¾?

4.
The product of
two number is 78. Their sum is 19. What is their difference?

5.
What is the
largest number that rounds to 4500?

**Difficult:**

1.
Carlo is 2/3 as
old as Gina. The Difference of their age is 5. How old is Gina?

2.
What is the
product of the prime numbers less than 10?

3.
The product of
two factors is 15 5/6 and one of the factor is 3 1/3, what is the other factor?

4.
Ester’s weekly
allowance is 500 pesos. Her daily expenses for food are: P 50 for lunch and P25
for snacks. She does not go to school during Saturdays and Sundays. How much is
left with Ester each week for her savings and other expenses?

5.
A meter of cloth
cost P78.50. How much will 2,5 m cost?

**Clincher:**

1.
How many 2/3 are
there in 6/9?

2.
An apple cost
P11.00, how much do I dozen apple cost?

3.
There are 16
glasses on the table. Seven of them are small. What fraction of the glasses are
big?

**Answers: Grade V**

**1.**IVXXXIVLXXX

**2.**6

**3.**2

**4.**10,000 times

**5.**6 times

**6.**24

**7.**458 70000

**8.**40902

**9.**47

**10.**210

**11.**8

**12.**507, 907

**13.**15

**14.**2x3x5=30

**15.**32

**16.**3

**17.**8

**18.**7

**19.**17

**20.**3024L

**21.**28

**22.**37

**23.**459

**24.**60

**25.**20 5/7

**26.**60

**27.**12/17

**28.**5

**29.**77

**30.**230

**31.**40L

**32.**45

**33.**50

**34.**9:13

**35.**Obtuse angles

**36.**1:35 pm

**37.**20%

**38.**4

**39.**11 mins.

**40.**, ,

**41.**30 cm.

**42.**162

**43.**0.721275

**44.**13 cm

**45.**48

**46.**144

**47.**136 ½

**48.**

**49.**

**50.**200

**GRADE VI**

**1.**35, 48

**2.**125

**3.**4

**4.**31, 19

**5.**21

**6.**6

**7.**1

**8.**-, +, /, x

**9.**4,000

**10.**200

**11.**1200

**12.**13, 4

**13.**BONUS

**14.**128,000

**15.**85

**16.**4

**17.**4/9, ½, 8/15

**18.**0.5

**19.**6%

**20.**96

**21.**1000

**22.**1

**23.**40

**24.**60 CM

**25.**360

**26.**53

**27.**610

**28.**289

**29.**YES

**30.**8/9

**31.**8 TIMES

**32.**23ft, 18 ft

**33.**25

**34.**48

**35.**48

**36.**4

**37.**15

**38.**24

**39.**`1/13

**40.**17/20

**41.**4.75309

**42.**70.852

**43.**3250

**44.**72cm

**45.**19.6 10 2/3

**46.**1785m

**47.**208%

**48.**

**49.**

**50.**

**TEAM COMPETITION**

Easy:

1.
7 4/5

2.
40

3.
6

4.
6

5.
1 ½

6.
L

7.
350

8.
350 CM

9.
64

10. 8

Average;

1.
216

2.
31.00

3.
9/16, 10/16, and 11/16

4.
7

5.
4,999