
Grade 6 Math Olympiad
QuizĀ by RICHARD BAID
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It is 8:00 am on March 3rd.
The minute hand of a clock turns aroundĀ clockwiseĀ 20 times.
What will the date and time be?
Mike drank 60% of his glass of milk.
Afterwards, 80 ml of milk remained in the glass.
What volume of milk wasĀ initiallyĀ in the glass?
What number should replace the question mark?
10, 10, 9, 7, 7, ?, 4, 4, 3, 1
The speed of a bike is 56 km per hour and speed of a bus is 40 km per hour.
Find the ratio of the speed of the bike to the speed of the bus.
ess weighs 20 kg less than her brother Brandon.
Together they weigh 120 kg.
How much does each person weigh?
Abdul was asked how old he was.
āIf my age is divided by two or three or four there is one left over. If my age is divided by 7 there is no remainder.ā
How old is Abdul?
How many positive whole numbers less than 100 are divisible by 3, but not by 2?
How many hours do you think it would take you to count up to one millionif u use one second for its number?
I am a two-digit multiple of 10, closer to 94 than to 80 and 5 more.What number am I?
The numbers 1, 4, 9, and 16 are perfect squares. How many prefectsquares are there between 100 and 500? What are these perfect squares?
After dividing 34 804 by a number, Jose got a quotient of 263 with aremainder of 88. What number did he use as divisor?
Express 45 as a sum of four numbers. Add 2 to the first number; subtract2 from the second number; multiply the third number by 2 and divide the fourth number by 2. If all four answers are equal, what are the four numbers?
Two fathers and their two sons went fishing. They were not so lucky that day for they caught only three fish. But they divided the fish equally among themselves without cutting or splitting any of the catch. How was that possible?
Suppose you were asked to guess the number of beans inside the jar. Youare given this clue: The number therein, when divided by 2, 3, 4, 5, 6, 7, 8,9, and 10 will always leave a remainder of 1. How many beans are there in thejar?
Solve for the GCF of 1 536, 1 344, and 2 904.
Shawie can arrange her stamps either 15 stamps on a page, 18 on a page,21 on a page. What is the least number of stamps that Shawie has?
A city government supports 9 thousand, 8 hundred high school and collegescholars. Of these,
are now in college. How many college students are now being supported bythe city government?
A student works as a library aide. He works for
hours including some minutes for the lunch break. If he spends
hours in the library, how long is his lunch break?
Mr. Santos brought home
slices of cake for his children. If each child got
of the cake, how many children shared the cake?
How many bags of rice can be made out of 225 kg of rice if each bagshould contain
kg of rice?
Mrs. Reyes had 120 kg of mangoes. She sold
of them to a friend and
of the remaining mangoes toa fruit vendor. How many kilograms of mangoes were left?
A television set was marked at Php 11,500.55. During the sale, it wassold for Php9, 855.95. What was the difference in the prices?
When my father started the car in the morning, the odometer read 397.5km. When he returned home in the afternoon, it read 540.3 km. How far did hetravel during that day?
A carpenter has to cut off an excess of 1.25 cm from a steel bar that is49.7 cm long. What is the length of the steel bar that he wants to have?
A piece of wood 243.84 cm long is defective at both ends. The carpenterhas to remove 3.50 cm from one end and 1.75 cm from the other end. How longwould the wood be after removing the defective parts?
Each of the three pairs of decimal numbers has a sum of 0.974, 4.043 6,and 10.521 98. What is the sum of all the six decimal numbers?
Each of the three pairs of decimal numbers has a sum of 0.974, 4.043 6,and 10.521 98. What is the sum of all the six decimal numbers?
Three pairs of decimals a and b, c and d, and e and f have thedifferences of 0.687, 0.822, and 0.923. What is the value of (a+c+e)-(b+d+f)?
Compute Juns average monthly electric bill for the past seven months:P1, 089; P1, 187 .36; P1, 086.52; P1, 283.27; P1, 085.64; P1, 187.09; and P1,185.43.
A certain car will travel 4.5 km on 0.8 L of gasoline. How many literswill be needed for a trip of 266.3 km?
Elmer has 42 marbles, 14 of which are red, while the rest are green.What is the ratio of the red marbles to the green marbles?
A stick 48 cm long is cut into two pieces in the ration 1:2. How long iseach piece?
The sum of the degree measures of two angles is 90. If their measuresare in the ratio 1:4, what is the measure of each angle?
Two angles have a total degree measure of 180. If their measures are inthe ratio 4:5, what is the measure of each angle?
Find two numbers with a ratio of 2:5 if one number is 15 more than theother.
What is the ratio of the number of even numbers less than 100 to thenumber of odd numbers less than 100?
Find two numbers with a ratio of 5:8 and whose difference is 18?
Bronze consist of 6 parts tin for every 19 parts copper. How many kilograms of tin are there in 500 kg of bronze?
Joel gets 2 vacation days for every 28 days of work. If he has worked 224days straight since his last vacation, how many vacation days does he have coming?
The ratio of santol trees to mango trees to tamarind trees in an orchard is5:2:8. If there are 1 245 trees in the orchard, how many mango trees are there?
If 200 is divided in the ratio of 1:2:5, what is the middle quantity?
The daily sales of two newspaper vendors are in the ratio of 7:8. Find thedaily sales of each of the vendors if they sell 750 newspapers together.
Two numbers are in the ratio of 3:5 and their sum is 216. Find the two numbers.
If 200:300:500=a:b:c and a+b+c=20, find the values of a, b, and c.
If 250: 450: 600= x:y:z and x+y+z= 26, find the values of x, y, and z
If a is indirectly proportional to be, then a=, where k is a constant or a fixed number. Ifa= 8 when b= 6, find the value of k.
Maria got 92 out of 100 problems correctly. What percent of the problems did she getcorrectly? How many problems did she get wrong?
. Tony earns P46, 500 a month. He saves 15% of it. How much does he save in a month?
The class submitted 48 pictures for the art exhibit but only 36 of them could bedisplayed. What percent of the pictures were displayed?
Ms. de Leon receives a monthly salary of P45, 000 and saves P9, 000. What percent ofher salary does she save?
Roy answered 40 classwork exercises in math. If 36 of them are correct, what percentare correct?
Danilo read 80 pages of a book containing 500 pages. What part of the book did heread?
A basketball team won 12 out of 20 games played. What percent of the games did theteam win? What percent of the games did the team lose?
Out of 8 760 kg of recyclable materials, 3 504 kg are papers. What percent of these materials are papers?