
GRADE 6 MATH CHALLENGE
Quiz by RICHARD BAID
Tag the questions with any skills you have. Your dashboard will track each student's mastery of each skill.
what is 5 3/10 cm minus 2/5 mm? expresss the anser in lowest term
what is the value of ( 1/2 +2-1/3)?
Luigi spent of his money on books.He spent another 1/7 of his money on pens.what fraction of his money was left?
Mrs. baclaya made some muffins and give them to vincent and brylle. Vincent 1/4 of the number of muffins and brylle recieve 2/3 of the remainder. how many muffins did Mrs. baclaya make if she had muffins left?
in a local supermarket, 3/5 kilogram of squid costs P156. How much do 4 kilograms of squid cost?
A gasoline tank is 1/6 full. when 25 liters of gasoline were added, it became 3/4 full. how many liters more is needed to fill it?
Sheila uses 4 meters of cloth for each handbag. So, she uses 1/2 meter foe each handbag. If she sells each handbag for P50.00, how much money will she earn?
Mark uses a strip of leather 18 1/3 cm long to make a baller. So, from a 75 cm strip of leather, how many baller can he can make from a 3/4 m strip of leather? note 1 = 100 cm
A cheetah can run 64 miles in 1 hour. at that speed, how how far could a cheetah run in 1/16 hour?.
One pipe can fill the tank in 3 hours, and another pipe can fill the tank in 6 hours. how long will it take to fill the tank if both pipes are used at the same time?
an apple costs P11.50 each. how many apples can you buy if you have P200.00?
Christine is making handkerchiefs, each 2.5 dm on a side. how much lace does she need to put around 4 handkerchiefs?
A bathroom is 2.4 meters long and 1.8 meters wide. How many square tiles 1 dmon each side are to be used to cover it?
Nardo delivers an average of 20 kilograms of fish to the market daily, If he earnsP3,573.50 a week, how much is his daily income assuming that he works 7 days aweek? If he spends P72.25 daily for food, how much will be left on his weekly income?
Ms. Perez hired a carpenter and a painter to do some repairs in her house. Shepaid the carpenter P2,524.50 and the painter P2,431.20 for working for 6 days. Howmuch did Ms. Perez pay them per day?
Arnold receives P1,035.87 from exchanging his dollars into pesos. If he had 22 dollars,what is the exchange rate of a dollar to the Philippine currency at that moment?
A student solved six out of ten problems correctly. What is the ratio of the numberof correct answers to the number of wrong answers?
A recipe calls for 6 cups of milk to 8 cups of flour. Write, in simplest form, the ratioof the number of cups of flour to the number of cups of milk in this recipe.
The ratio of boys to girls in our Math Club is 4:3. After 8 more girls joined the Club,the ratio became 1:1. How many members are there in the club now?
Rio and Kim had the same amount of money at the start. When Rio gave ?300.00to Kim, the ratio of Rio's money to Kim's money became 2:3. How much money did each have at first?
The ratio of ducks to chicken in the farm is 3:5. The total number of chickens andducks together is 72. If 6 chickens have shown symptoms of flu and had to beremoved from the farm, what is the new ratio of ducks to chickens?
For every 8 mango trees in the orchard, there are 4 star apple trees. If there are1320 trees, how many trees of each kind are there?
A philanthropist gave 3,000,000 to two orphanages and a health institution. Thetwo orphanages received equal amount twice that of the health institution. Howmuch did each receive?
A wire 105 cm long is bent to form a rectangle. The ratio of its length to its width is2:1. Find the area of the rectangle.
A car is able to travel 210 km in 3 hours. How far can it travel in 5 hours?
Five people can finish painting a wall in 5 hours. If only 2 people are available, howmany hours do they have to work to finish the same job?
At 65km/h, Alfred can reach home in 50 minutes. At what speed should he drivehis car so that he can reach home 10 minutes earlier?
A land area was divided among the three heirs in the ratio 5:2:4. If the largest sharewas 20 hectares of land, what is the total area of the land?
A certain amount of money is divided among Rio, Kim and Leo in the ratio 5:7:3. IfLeo gets P24,000.00, how much is the total amount?
Aicel, Bessy, and Cynthia went to the farm to pick guavas. They picked 120 guavasin all. Aicel picked twice as many as Bessy did, and Bessy picked 3 times as manyas Cynthia did. How many guavas did each of them pick?
Alex's bike ride to work usually takes 22 minutes at 9 kph. One morning he founda new bike route that was 5 minutes faster. If he decides to use this new routeagain and wants to reach home by an additional 2 minutes earlier, how fast shouldhe cycle?
Five trucks can transfer 150 tons of fruit a. day. How many days does it take for7 trucks to transfer 630 tons of fruits?
There are 80 animals in Mang Pablo's farm. The ratio of cows to carabaos to goatsto horses is 4:2:3:1. How many animals of each kind are there in Mang Pablo'sfarm?
The ratio of boys to girls in a Junior-Senior Promenade is 4:3. Jane counted thatthere are 12 more boys than girls. How many boys and girls are there in the prom?
 ratio is 2:5:6:n
 speed is 80 km/hr; Increased speed to 120 km/hr; distance is 720 km
The grade 6 class of Ms. Santos held a class election. Julie and Jean were theonly two candidates running for class president. Jean received 21 votes and Juliereceived 29 votes. What percent of the votes did Julie receive?
Forty percent of the pupils in Ms. Alcantara's grade 6 class are 12 years old. Another0.25 are 13 years old, and the rest of the class is 11 years old. Write the numberof pupils that are 11 years old as a fraction, decimal, and percent.
Cris was asked to paint a wall with an area of 84 m2. After an hour, he had painted21 m2. What percent of the wall was left unpainted?
Aling Sonya made 1500 pieces of polvoron. 35% of them are chocolate-flavored,28% are strawberry-flavored, and the next are ube-flavored. How many pieces ofube-flavored polvoron did Aling Sonya make?
A vendor has 128 mangoes. He has 50% more apples than mangoes and 25% lessOranges than mangoes. Find the total number of mangoes, apples and orangesthat the vendor has.
In 2014, female students made up 40% of grade 11 students are studying Scienceand Engineering at Quezon National High School. Write this percent as a decimaland as a fraction in simplest form
In a survey, 18 teenagers prefer dancing than singing. If this represented 60% ofthe respondents, how many respondents were there in all?
In a conference, 500 people who attended were Filipinos. If 65% of these wereFilipino male professionals, how many Filipino male and female professionals werethere in all?
A painter can finish painting a house in 30 days. If he has been painting for 24 days,what percent of the painting job has he not completed yet?
Mang Ramon harvested green mangoes in his farm and put them in a basket. After3 days, he found out that 15 of the mangoes in the basket were rotten. He said,"nakapanghihinayang dahil katumbas ito ng 12.5% ng pinitas ko". What is the totalnumber of mangoes Mang Ramon had harvested?
Arrange the following numbers from smallest to largest.16-%, 1.6, -%, -, 0.2,1.6%, 1-%, 0.5%, 0.54
Write the decimal notation for 746/7 %. Round your answer to the nearest hundredths.
A businessman lost 35% of his capital in one operation, and lost 40% of the remainderin a second operation. If he has p15,600.00 left, how much did he have at first?
Following a raise in the cost of health insurance by Philhealth, 250 out of 3000employees of a company dropped their health coverage. What percent of theemployees cancelled their insurance?
A man invested an amount of money in a fund that earns 5% interest in a year. Afterhow many years will his money be doubled?
A manager of a bank has an annual salary of P430,200.00. He also receives an 8%raise in his annual salary. How much will be his new monthly salary next year?
A number is increased by 30%. Explain how you can find the new amount withoutfirst calculating the amount of increase
Suppose an original amount decreases by 75%. By what percent must the newamount increase in order to return to the original amount? Justify your answer.
How much money did Mr. Valera deposit to his bank account if at the end of a year, it earnedan interest of P402.50 at 3.5% interest rate?
Richie borrowed some money from Carlo. Carlo gave him P2,000.00 and Richie promisedto pay him back after 6 months with a 2% per month interest rate. How much will Richiepay back Carlo?
A salesman has a basic salary of P4,500.00 a month. He gets a commission of 6% on allsales above P50,000.00. How much did he get in a month when his sales amounted toP497,550.00?
If p is 120% of q, then q is what percent of p?
Arnel invested P30,000.00. One part at 15% simple interest and the rest at 10%. After twoyears, the amount invested at 15% earned P3,000.00. If the total income from both investment after two years was P7,000.00, how much did he invest at 10%?
Using the integers —1, 4, 40, and —25, create as many equations you can with ananswer of 34. You can use each integer only once.
Give 5 pairs of integers whose product is less than zero nd whose sum is —26.
Two negative consecutive integers have a sum of —21. What are they?
Determine the pair of numbers whose product is 64 and whose sum 20.
One number is 13 more than another. The sum of twice the smaller number andthrice the larger is 99. What are the two numbers?
The sum of the ages of Sam and Matt is 29. The sum of the ages of Sam and Benis 26. The sum of the ages of Matt and Ben is 31. How old is the youngest amongthe three boys?
Michael saved P600.00 in his wallet. For the last four weeks, he saved P100.00,P235.00, P460.00, and P340.00. How much did he save in all?
Luisa took P80.00 from her coin bank on Thursday. Then on the following day, shetook another P50.00. What was the total amount she took from her coin bank.
The sum of two integers is —457. If one of the integers is 192, what is the other integer?
At the beginning, Kim has 25 cards. He then gave 11 cards to his friend. His cousincame over and gave him 17 cards. His uncle also came and gave him 18 cards.How many cards does he have now?
One integer is 2 more than 5 times another integer. If the difference of the twointegers is 26, what is the smaller integer?
Anna was born in the year 1995. If she subtracted her birth year from the birth yearof her father, the difference is —30. In what year was her father born?
From the ground floor, an elevator goes up 8 floors and then goes down 6 floors.At what floor did the elevator stop?
Find two integers whose sum is 2 and whose difference is 8.
A group of hikers on a mountain started climbing at an elevation of 3350 feet abovesea level and stopped to take their meal atan elevation of 2160 feet above sea level.a. What was the change in elevation between the two points?b. Based on the answer on a, were the hikers going up or down the mountain?
A professional diver dives from a ledge 65 feet above the surface of the water. Thediver reaches an depth of 15 feet underwater before returning to the surface. Whatwas the diver's change in elevation from the highest point to the lowest point ofthe dive?
I am an integer greater than —10 but less than 10. If you divide me by —6, my quotientis a positive integer. Who am I?
The sum of two numbers is 96 and one of them is five times the other. What are thetwo numbers?
The quotient of two integers is —6. The dividend is greater than —10 but less than30. What are the possible pairs of integers?
If(n + 1)2_3 is equal to 22, what is the value of(n + 1)2_5?
If the temperature dropped from 25°C three times by 3°C during the night, what isthe temperature reading after the third drop?
Jordan is enlarging a photo on his computer screen. The photo starts at 4 cm wide.Each time he enlarges the photo, its width is doubled. Jordan enlarged the photofour times. What is the final width of the photo on his computer screen?
Suppose a bacterium splits into two bacteria every 15 minutes. How many bacteriawill be there in 3 hours?•
Ruel, who washes high-rise windows, is assigned to a section of 10 rows of windows. Each row contains 10 windows. A. How many windows are there in the section? Write the answer as a power.b. Ruel estimates that it takes 5 minutes to wash one window. How long will the entire job take?c. Can Ruel complete the job in 8 hours? Explain.
A frog is at the bottom of a 12 m hole. During the day, it climbed up 3 m but sliddown I m at night. Howmany days will it take for the frog to climb up the hole?
What is the sum of the first 10 odd numbers?
In a mini-theatre, the first row has 8 seats, the second row has 10, and the thirdrow has 12. If there are 20 rows in the theatre, which row has 38 seats? How manyseats are there in all?
Write the first four terms of a sequence in which the first term is 2 and each term is4 more than the preceding term.
Carmi gets a starting salary of P13,000.00 a month and an increase of P500.00annually. What will be her salary during the fifth year?
Mrs. Torres increased her son's allowance who is studying in a university. She gavehim P3,000.00 on the first month, P3,300.00 on the second month, P3,600.00 onthe third month and so on. How much will her son receive on the 7th month?
A pile of blocks has 40 blocks in the bottom row, 36 blocks in the second row, 32blocks on the third row and so on until there are only 4 blocks on the top row. Howmany blocks are there in the 7th row? How many blocks are there in all?
The average of 3 numbers is 6m. Assume that two4m. What is the value of the third number?
A is half of B. B is half of C. C is half of D. Whichcorrect?
Aldrin bought 5 pencils and 7 notebooks. A notebook costs P10.80 more than apencil. Write an algebraic equation showing that the total amount of the schoolsupplies bought is 210.00.
Art is twice as old as Ken. Ten years ago, he was four times as old as Ken. Writethe algebraic equation for their ages ten years ago.
Vincent's weight is 6 kilograms more than Ezekiel's weight. Daniel's weight is3 kilograms less than Ezekiel's weight. Write an algebraic equation for the weightof the three boys having an average weight of 63 kilograms.
The difference between two-thirds of a number and one-sixth of the same numberis seventy-five. What is the number?
The average of 6 numbers is 15. The average decreases by I when the 7th numberis added. What is the value of the 7th number?
The length of a rectangle is 12 cm and its width is 2 cm less than of its length.Find the area of the rectangle.
A circular wall clock with a circumference of 88 cm, is mounted on a wall. How mucharea of the wall did it occupy? (Use: t =
The length of a rectangle is 52 cm and its perimeter is 200 cm. What is the area ofthe rectangle?
How much larger is the pizza made in a circular pan with a 14 inch diameter thana pizza made in square pan with sides measuring 14 inches?
A photograph measuring 10 cm by 4 cm is mounted on a rectangular cardboard,leaving a margin of 3 cm all around.a. What is the area of the photograph?b. What is the area of the cardboard?c. What area of the cardboard is NOT covered by the photograph?
Jason is wrapping a present. The box he is using is a rectangular prism with a lengthof 18 inches, a width 10 inches, and a height of 4 inches. Find how many squareinches of paper he needs to wrap the entire box.
A certain music box has the shape of a cube. Each side of the music box is 15centimeters long. What is the surface area of the box?
A salt container has the shape of a cylinder. The radius of the container is 1.5 inchesand the height his 6 inches. Find the surface area of the container. Use 7t = 3.14
A cylinder shaped water pitcher has a radius of 5 inches and a height of 12.5 inches.Find the surface area of the pitcher.
If the length of each side of a cube is increased by 50%, what is the percent increasein the surface area of the cube?
Find the amount of tin needed to make a milk tin can that has a radius of 2.5 cmanda height of5cm.
The lateral area of a cylinder is 94.2 cm2. The height is 6cm. What is the radius?
A desk drawer is 24 centimeters long, 62.6 centimeters wide, and 38.1 centimetersdeep. Find its volume.
The volume of a cube is 27 cubic meters. Find the height of the cube
A water tank is shaped like a cylinder. It is 20 meters tall and has a radius of 7meters. How many cubic meters of water can the tank hold? Round your answerto the nearest whole number.
Allan keeps tropical fish. His aquarium is 4 feet long, 1 foot wide, and 2 feet tall.Each fish needs at least 0.5 ft3of water. What is the maximum number of fish thathe can keep in the aquarium?
Cindy has a chocolate box whose length is 12 cm, height of 8 cm, and width of6 cm. Find the volume of the box?
A cylindrical tank can hold 44 cubic meters of water. If the radius of the tank is 3.5meters, how high is the tank?
A chocolate milk container in the form of a rectangular prism is 5 cm long, 3 cmwide, and 9 cm high. How many cubic centimeters of chocolate milk can it hold?
Find the volume of a right circular cone-shaped building with a height of 9 cm anda radius base of 7 cm.
A water pump brings out 500 cubic meters of water in one hour. Will the water pumpbe able to fill up a rectangular swimming pool 15 meters long, 10 meters wide, and3 meters deep in one hour? Explain your answer.
Cylinder P has a base radius of 1.4 m and a height of 3 m. Cylinder Q has a baseradius of 2 m and a height of 2.1 m. Find the ratio of their volumes
A cubic tank with 4.6 m edges is filled with water. How much water will be left inthe tank if some is drained off to fill a cylindrical tank with a radius of 2.2 m and aheight of 4.6 m.?
A chocolate company produces different sizes of chocolate bars that are packagedin equilateral triangular prisms. Here is the 100-g. chocolate bar.
Each of the 11 letters of the word "MATHEMATICS" is written on a separate card.The cards are placed faced down and shuffled. A card is chosen at random. Whatis the probability that it will show each of the following?a. The letter M b. The letter Ec. A vowel d. The letter T
A spinner is divided into four equal sections numbered 1through 4. It is spun 100 times. It is stopped at section 1twenty-eight times, section 2 thirty-five times, section 3twenty-five times, and section 4 twelve times. Find theprobability that a 3 will be spun.
Richmond's spinner is divided into 5 unequal parts. The red and green parts are thesame size. Together they are of the spinner. The blue and orange parts are the same sizeand together are — of the spinner. The yellow part is the same as the red part. Is Richmond'sspinner fair? Explain.
— a triangle that has three acute angles
— the set of all points in a plane that are of the same distance from the center
percent of total sales paid to a person
— a prism with six congruent sides
— a figure with two congruent and parallel circular bases connected by a curved surface; ithas no vertex
a ten—sided polygon
— fractions with different denominators
a four-sided polygon with two parallel sides
a four-sided polygon with two pairs of parallel sides
he top part of a fraction that tells how many parts out of a whole are being counted
the sequence of numbers 1, 1,2, 3, 5, 8, 13, 21, 34, 55, 89, 144,233, 377.....n,with each succeeding term being the sum of the previous 2 terms