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Mass Measurement Quiz with AI Tutor - Grades 5/6
Mass Measurement Quiz with AI Tutor - Grades 5/6
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Question 1:

5 ounces of cheese are required for topping each pizza. How many pizzas can be topped with 15 ounces of cheese?

Question 2:

A baby walrus was born 9/10 of a month early. At birth, its weight was 3/4 kilograms, which is 5/6 kilogram less than the average weight of newborn walrus in the ocean. What is the average weight of newborn walrus?

Question 3:

Jane harvested 432 oranges which will be placed into small baskets. Each small basket can hold 25 oranges. The number of small baskets used will be between which two whole numbers? Give your answer in fractions.

Question 4:

To construct a bridge, 3,000 blocks of wood is needed. How many bridges can be constructed using 9 crates of wood, each of which is 900 blocks long?

Question 5:

Each garden vegetable is 8/10 kg and each piece of fruit is 5/7 kg. What is the total weight of 2 garden vegetables and 1 piece of fruit?

Question 6:

Mr. Jones made 6 pizzas with 15 oz of cheese. How much cheese is each pizza made with? Give your answer in fractions.

Question 7:

6 pounds of apples are needed for making each pie. How many pies can be made with 24 pounds of apples?

Question 8:

Rebecca took out 9 pieces of tile and got some cement from the bucket. Each piece of tile needs 1 1/3 kg of the cement mixture. If there was enough cement mixture for 7 pieces of tile, how much did the cement in the bucket weigh? Give answer in fraction.

Question 9:

A baby koala was born 7/8 of a month early. At birth, its weight was 3/4 kilograms, which is 8/9 kilogram less than the average weight of newborn koala in the zoo. What is the average weight of newborn koala?

Question 10:

Each wooden toy is 2/3 kg and each plastic toy is 4/9 kg. What is the total weight of 2 wooden toys and 1 plastic toy?


Answer Keys

Question 1: 3

Question 2: 4.5

Question 3: 17 < x < 18

Question 4: 2

Question 5: 81/35

Question 6: 2 1/2

Question 7: 4

Question 8: 9 1/3 kg

Question 9: 2.25

Question 10: 16/9


Solutions

Question 1
Number of pizzas = 15 / 5 = 3.

Question 2
Let x be the average weight of newborn walrus in the ocean. 5/6x = x - 3/4 5/6x - x = -3/4 -1/6x = -3/4 x = (-3/4) ÷ (-1/6) = 4.5 kilograms. Therefore, the average weight of newborn walrus is 4.5 kilograms.

Question 3
Jane harvested 432 oranges which will be placed into small baskets. Each small basket can hold 25 oranges. To find the number of small baskets needed, divide the total number of oranges by the number of oranges per basket: 432 / 25 = 17 7/25. Therefore, the number of small baskets used will be between 17 and 18.

Question 4
Each crate of wood has 900 blocks, so the total number of blocks is 900 * 9 = 8,100 blocks. To construct one bridge, 3,000 blocks of wood is needed, so the number of bridges that can be constructed is 8,100 / 3,000 = 2.7. Since we can't construct a fraction of a bridge, the answer is 2 bridges.

Question 5
Step 1: Find the total weight of 2 garden vegetables (2 x 8/10 kg). Step 2: Simplify the fraction (2 x 4/5 kg). Step 3: Multiply the numerators together (2 x 4 = 8). Step 4: The total weight of 2 garden vegetables is 8/5 kg. Step 5: Add the total weight of 2 garden vegetables (8/5 kg) and 1 piece of fruit (5/7 kg) together. Step 6: Find a common denominator for the fractions (35). Step 7: Convert both fractions to equivalent fractions with the common denominator (56/35 + 25/35). Step 8: Add the numerators together (56 + 25 = 81). Step 9: The total weight of 2 garden vegetables and 1 piece of fruit is 81/35 kg.

Question 6
To find out how much cheese each pizza is made with, divide the total amount of cheese by the number of pizzas. 15/6 = 2 1/2. Therefore, each pizza is made with 2 1/2 oz of cheese.

Question 7
Number of pies = 24 / 6 = 4.

Question 8
Each piece of tile needs 1 1/3 kg of the cement mixture, so for 7 pieces, she needs 7 * 1 1/3 = 9 1/3 kg. If there was enough cement mixture for 7 pieces of tile, then the weight of the cement in the bucket is 9 1/3 kg.

Question 9
Let x be the average weight of newborn koala in the zoo. 8/9x = x - 3/4 8/9x - x = -3/4 -1/9x = -3/4 x = (-3/4) ÷ (-1/9) = 9/4 = 2.25 kilograms. Therefore, the average weight of newborn koala is 2.25 kilograms.

Question 10
Step 1: Find the weight of 2 wooden toys (2 x 2/3 kg). Step 2: Multiply the numerator and denominator separately (2 x 2 = 4 and 3 x 1 = 3). Step 3: The weight of 2 wooden toys is 4/3 kg. Step 4: Find the weight of 1 plastic toy (1 x 4/9 kg). Step 5: Multiply the numerator and denominator separately (1 x 4 = 4 and 9 x 1 = 9). Step 6: The weight of 1 plastic toy is 4/9 kg. Step 7: Add the weight of 2 wooden toys (4/3 kg) and 1 plastic toy (4/9 kg) together. Step 8: Find a common denominator for the fractions (9). Step 9: Convert both fractions to have a common denominator (12/9 + 4/9). Step 10: Add the numerators together (12 + 4 = 16). Step 11: The total weight of 2 wooden toys and 1 plastic toy is 16/9 kg.