Intermediate Math Challenge

7/27/2019 Intermediate Math Challenge

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INTERMEDIATE MATH CHALLENGE

LESSON 1

Activity 1

______________1. What is the product of 42 and 62?

______________2. What is the product of the smallest 2 digit number and the largest 2

digit even number?

______________3. For every 3 boys, there are 5 girls. For 35 girls, how many boys are

there?

______________4. What is the sum of CMXVII + DCCXLIX + CCXLVIX?

______________5. How many 25 centavo pieces are equal to Php 125?

______________6. If 38 x N = 3382, what is N?

______________7. Mr. Reyes has a small farm. They harvested 72 kilos of tomatoes

and sold them at Php 28.50 a kilo. How much did they get?

______________8. Cathy has two Php2 000 bills, three Php500 bills, ten Php100 bills

and four Php20 bills. How much money has she?

______________9. If 723 x 454 = 328 242, what is 3 270 x 5 243?

______________10. What is the remainder when we divide 798 by 23?

Activity 2

_______________1. A vendor bought 985 pakwans. He found that 18 were rotten. If

he sold the rest except 27, how many did he sell?

_______________2. If 43 x N = 6 x 86, what is N?

_______________3. What is the product of 53 and 24?

_______________4. What is the product of CCLVII and XXXV?

_______________5. Liza has 2 Php 500 bills, 4 Php100 bills, 15 Php 20 bills and 3

Php10 coins. How much money has she?

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LESSON 2

Activity 1

______________1. Change 9 5/8 to an improper fraction.

______________2. Mother bought 2 dozen eggs. She used 1 2/3 dozens to make

leche plans. How many eggs remained?

______________3. In a school, there are 564 scouts. If of them are stars scouts,

how many are girls scouts? Stars scouts?

______________4. Sarahs mother is 35 years old. How old will Sarah be 3 years from

now if she is 1/5 of her mothers age?

______________5. Macy had 390 stamps. She gave 1/6 of them to Julia and 1/5 to hertwin sister Kacy. How many stamps remained with Macy?

______________6. Change 33/4 to mixed number.

______________7. Reduce 56/98 to lowest term.

______________8. Change 138/7 in mixed number.

______________9. What is the quotient of 15/6 divided by ?

______________10. Mother bought 1 kilos of grapes and 3 kilos of mangoes.How many kilos of fruits did mother buy?

Activity 2

_______________1. 2/3 + 1 1/3 + 3

_______________2. 4 3/5 2 1/5

_______________3. 16

_______________4. 2/4 + 3/5

_______________5. 1 - 1/3

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LESSON 3

Activity 1

______________1. Manny has a piece of bamboo stick 90 cm long and Lito has a piece

25 cm long. What is the ratio of Mannys stick to Litos stick?

______________2.The population of a certain school in 2011 was 10 897 and 13 998

in 2012. What was the increase in population?

______________ 3. If a kilo of pork costs Php 73.50, how many kilos can be bought

from Php 404.25?

______________ 4. Sunshine Park is shaped like a square. If the distance around the

park is 1 320 metres, what is the length of each side?

______________ 5. What is the area of the Sunshine Park?

______________ 6. Rowena started reviewing her lessons at 8:15 in the evening. At

what time did she finish after reviewing for 3 hours and 49

minutes?

_______________7. At 9:00 o clock in the morning, the temperature is 28.90 C. it

reaches up to 32. 20 C at 2:00 o clock in the afternoon. How

much higher is the temperature in the afternoon?

_______________ 8. In a class of 40, 38 were promoted. What percent of the class

was retained?

_______________ 9. Norma plans to save 15% of her Php 2 000 monthly allowance.

How much is her savings after 1 year?

_______________10. Childrens dresses originally priced at Php 200.00 are sold at

25% off. What is the selling price of the dress?

_______________ 11. Alice is in school from 6:45 in the morning to 1;40 in the

afternoon. How long is she in school?

_______________ 12. Luis saved Php30 in January. During each succeeding month

he saved Php 10 more than the previous month. What was his

total savings from January to June?

_______________ 13. How big is the school garden if its width is 6 cm and the length is

two times larger than its width

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_______________ 14. Pedros earnings in one month is Php 6 500. If 40% is used for

food, how much does he set aside for food?

_______________ 15. If Pedros pays Php 1300 for the apartment, what percent of his

salary is set for the payment of the house?

Activity 2

_______________ 1. Rowena got the following grades in Mathematics: 85, 87, 95, 90,

89. What is Rowenas average?

_______________ 2. What is 40% of 200?

_______________ 3. How is 3/5 expressed in percent?

_______________ 4. What unit of measure is used for distances between places?

_______________ 5. Father used 14. 6 metres of barbed wire to fence the fish pond

and another 16.8 metres for the garden. How many metres of

barbed wire were left from a roll of 40 metres?

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LESSON 4

Activity 1

______________1. Write fifty six million, five thousand, forty in Hindu Arabic.

______________2. What is the place value of the underlined digit in 872 621?

______________3. What is the value of 9 in 6 692 840?

______________4. If 7 134 N = 2 335, what is N?

______________5. How many times as great is the underlined 5 in 574 530 than the 5

which is not underlined?

______________6. Write CCXXXVI in Hindu Arabic Numerals.

______________ 7. Write 86 in Roman Numerals.

______________ 8. What is the smallest 5 digit number that can be made with the

digits 0, 1, 2, 8, 5?

______________9. What is the biggest 5 digit number that can be made with the

digits 0, 1, 2, 8, 5?

______________10. In 432, 875, 936 in what period are the digits 432?

______________ 11. Round to the nearest hundred and estimate the sum: 2 349 + 767

______________ 12. If 45 x N = 1665, what is N?

______________ 13. The biggest factor of 84 smaller than 84 is ______.

______________14. What number does not belong? 43, 47, 53, 59, 65, 67

______________ 15. What is the multiple of 100 nearest to 5 378?

Activity 2

______________1. Lina has Php 237 while Rosa has Php 288. How much more

money does Lina have than Rosa?

______________2. Reys family has a small farm. They harvested 68 kilos of

eggplants and sold them at Php 18. 50 a kilo. How much did they

get?

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______________3. Luz has two Php 1000 bills, one Php 500 bills, five Php 100 bills

and four Php 20 bills. How much money has she?

______________4. There are 1 455 pupils in a school. Of these 574 walk to school,

684 have a bus service and the rest have their private cars. How

many pupils have private cars?

______________5. A vendor bought 285 melons. He found that 5 melons were rotten.

If he sold the rest except 20, how many did he sell?

______________6. If 237 x 479 = 113 523, what is 2 370 x 4 790?

______________7. To estimate 23 x 89, we multiply 20 x N. What is N?

______________8. What is the remainder when we divide 897 by 21?

______________9. A farmer harvested 469 caimitos. He put 40 in each basket. How

many caimitos were not in a full basket?

______________10. Kate bought 20 kilos of rice at Php 20.50 a kilo and 8 kilos of

sugar at Php25.75 a kilo. How much change did she get from a Php

1000 bill?

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LESSON 5

Activity

__________1. In H.E. some girls baked 250 cookies. They put 12 in each plastic bag. Howmany bags did they fill?

__________2. How many thirteenths are there in two wholes?

__________3. Two numbers are in the ratio 3:4. If their sum is 77, find the bigger number.

__________4. There are 540 Grade 4 pupils in a school. If four ninths of the pupils are less

than 9 years old, 1/3 are between 9 and 10 years old, and the rest are over 10

years old, how many are over 10 years?

__________5. A scout master needs 45 pieces of string each 2.3 meters long for a project.

How many meters of string does he need in all?

__________6. Kate had Php 500. She bought a book for Php 120 and a bag for Php90. What

fraction of her money had Kate left?

__________7. Lita has 144 Philippine stamps. She has half as many Japanese stamps and

one third as many other foreign stamps. How many stamps in all has she?

__________8. Mike is 12 years old. This is 3 years less than 1/3 his fathers age. How old is

his father?

__________9. One half kg of chicos cost Php20. If there are 6 pieces, how much will 2

dozens of the same size cost?

__________10. What is the product of the smallest 2 digit even number and the largest 2

digit even number?

__________11. What is the remainder when 1 088 is divided by 47?

__________12. How much more is 35 than 43?

__________13. What is the remainder when you divide 327 and 25?

__________14. A vendor has 5 dozen mangoes in a basket. After selling 3/5 of them, how

many mangoes are left?

__________15. A vendor sold 491 kg of chicos and 273 kg of oranges. He sold 65 kg more of

mangoes than oranges. How many more kg of chicos than mangoes did he

sell?

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LESSON 6

Activity 1

__________1. What is the value of 3 in 73 810 455?

__________2. What is the place value of 8 in 73 810 455?

__________3. Write 5 x105 + 7 x 104 + 8 x 102 + 6 x 10 + 3 as one number.

__________4. Write the smallest number using all of 4, 9, 6, 0, 7, 1

__________5. Round 458.5825 to the nearest hundredths.

__________6. Write twenty five and sixty five thousandths

__________7. Thrice my number plus 8 equals 53. What is my number?

__________8. What is the remainder when 3 576 is divided by 27?

__________9. What number is 3 times the sum of 32, 45 and 26?

__________10. What is the biggest common divisor of 156 and 260?

Activity 2

__________1. What fraction of 2 centuries are 2 decades?

__________2.Reduce 84/108 to lowest terms.

__________3. Change 6 5/13 to an improper fraction.

__________4. Change 76/14 to a mixed number with the fraction part in lowest term.

__________5. Which is greater: 7/12 or 9/14?

__________6. What is N in the pattern 165, N, 125, 105?

__________7. What is the sum of the smallest and the largest among 0.32, 0,302, 0.7, 0.699,

0.649?

__________8. What will you add to 1 506 to get 2 500?

__________9. In 5 days, Lina had a total of 15.5 hours of overtime. What was her average

daily overtime?

__________10. There are 450 Grade 4 pupils in a school. If 42% of them are girls, how many

Grade 4 boys are there?

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Intermediate Math Challenge

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