Mathematical Reasoning

Blossom and Bubbles shared 135 stickers in a ratio of 2 to 1.

Blossom then shared her stickers with Buttercup in a ratio of 3 to 2.

How many stickers did Blossom have if she had the lesser share?

There are 4 times as many apricots as kiwis in a fruit basket.

When 20 kiwis are removed from the basket, the ratio of the number of apricots to the number of kiwis becomes 56:9. 

How many kiwis are there at the beginning?

There are 40 students in Steve Xu’s selective class, and the ratio of the number of female students to the number of male students in the class is 5 to 3.

If 2/5 of the male students wear eyeglasses, how many male students do not wear eyeglasses?

Charlie Brown bikes at a speed of 16 kilometres per hour from his house to Lisa’s house, who lives 800 meters away. 

If Charlie Brown starts biking at 7:00 AM, what time will he arrive at Lisa’s house?

The average mass of 6 students is 41 kilograms. 

If one of the students, whose mass is 36 kilograms, leaves the groups, what is the total mass of the remaining students?

Four friends, including Velma, dined at the restaurant last night. 

The total cost of their meals was $320.

If a 10 percent service charge was added to the total cost of their meals, how much did Velma pay if they all agreed to share the bill equally?

The original price of a blender shade is $56. 

If it is sold for $14 more than its original price, what is the original price as a percentage of the selling price?

The Batmobile left Gotham City at 7:00 AM and arrived at Central City, 100 kilometres away, after 2 hours. 

Two hours later, the Batmobile left Central City to Gotham City, along the same route, at a speed that is 30 kilometres per hour slower than its speed going to Central City.

At what time did the Batmobile arrive at Gotham City?

The Mystery Machine consumes 4 litres of petrol to travel 64 kilometres. 

At this rate, how many litres of petrol will the Mystery Machine consume to travel 96 kilometres?

Jack can make 52 widgets per minute while Jill can only make 23 widgets per minute. 

At these rates, how many fewer widgets can Jill make in 5 minutes?

Of the 50 members of the Science Club, 2/5 are Biology majors, 1/3 of the remaining students are Chemistry majors, and the rest are Physics majors. 

How many members of the Science Club are Physics majors?

Barbie bought a skirt that was on sale for 50 percent off the regular price. 

If Barbie was able to save $6 because of the discount, what was the original price of the skirt?

Justin has a square garden that has a perimeter of 36 metres. 

What is the length of one side of the garden?

It takes Bert 1/3 of an hour to finish the homework while it takes Elmo 1/6 of an hour to finish the same homework. 

How much quicker does the faster of the two finish the homework?

Ariel poured 4.65 litres of water into an empty aquarium. 

If the aquarium was 1/3 full, what was the total capacity of the aquarium?

It took Justin 9/10 of an hour to run one kilometre. 

At this rate, how long will it take Justin to run 8 kilometres?

Jude weighs 67.4 kilograms while Agnes weighs 7.5 kilograms less than Jude. 

What is the average (arithmetic mean) mass of the two?

Huey gave half of his baseball cards to Dewey and half of the remaining cards to Louie. 

If Huey gave Louie 68 baseball cards, how many baseball cards did Huey have at the beginning?

Fred Flintstones ran 560 metres more today than yesterday. 

If Fred ran 4.5 kilometres today, what was the average (arithmetic mean) distance he ran during these two days?

The pine tree is twice as tall as the oak tree, and the maple tree is of the same height as the oak tree. 

If the combined height of the pine tree, the oak tree, and the maple tree is 6.44 metres, how tall is the pine tree?

Taylor Swift sold five times as many records as Miley Cyrus, and Ariana Grande sold 25.6 million more records than Miley Cyrus. 

If the three of them sold a total of 468 million records, how many records did Ariana Grande sell?

The combined mass of a dozen identical metal balls is 5.28 kilograms. 

What is the combined mass of five such metal balls?

Big Bird has a piece of string and cuts it into 7 equal pieces. 

Big Bird gave one of the pieces to Elmo.

If Elmo used half of the string and had 6.8 centimetres remaining, what was the length of the string that Big Bird had at the beginning?

George bent a piece of wire into a square such that there was no leftover wire. 

If the square that George made had an area of 144 square metres, what was the length of the wire?

Ed had 180 tokens. 

He gave 1/9 of the tokens to Edd and 20 of the tokens to Eddy.

How many tokens did Ed have left?

A box contains 65 metal balls, 32 of which are copper balls and the rest are iron balls. 

The mass of the empty box is 50 grams, the mass of each copper ball is 5 grams, and the mass of each iron ball is four times the mass of each copper ball.

What is the total mass of the box and the metal balls?

The combined mass of the three crates is 9.6 kilograms. 

If two of the three crates each have a mass of K kilograms, which of the following gives the mass, in kilograms, of the third crate in terms of K?

A plastic ball has a mass of M kilograms. 

The metal ball is 6 times heavier than the plastic ball, and the mass of the rubber ball is 1/3 the mass of the metal ball.

Which of the following gives the mass, in kilograms, of the rubber ball in terms of M?

Doris and Samantha had a total of 296 marbles. 

When Doris throws away 3/7 of her marbles and Samantha throws away 32 of her marbles, they had the same number of marbles left.

What fraction of her marbles did Samantha throw away?

The ratio of the number of dolls Patricia has to the number of dolls Victoria has was 4 to 3. 

If Patricia gave Victoria three of her dolls, they will have the same number of dolls.

How many dolls did Patricia have?

Usain Bolt’s average (arithmetic mean) running time is 30.8 seconds per lap in a four-lap race. 

What was Usain Bolt’s total time for the entire race?

At the office supply store, Douglas bought 5 pens and 4 pencils for $3.10 while Teddy bought 4 pencils and 3 crayons for $2.50. 

If one crayon cost as much as one pen, how much did one pencil cost?

The Flash and Quicksilver left Star City at the same time and travelled the same route to National City. 

The Flash ran at a speed of 15 kilometres per hour and arrived at National City at 11:00 AM.

Quicksilver ran at a speed of 10 kilometres per hour and arrived at National City two hours later.

What was the distance between Star City and National City?

After giving Goofy 30 percent of his stamps, Mickey Mouse noticed that he now had twice as many stamps as Goofy. 

If Mickey Mouse had 140 stamps at the beginning, how many stamps did Goofy have at the beginning?

Sasha paid a down payment of 10 percent for a microwave oven and paid the rest in monthly installments of $45 per month. 

If Sasha finished paying her installments in 2 years, how much did she spend on the microwave oven?