This Quiz focuses on linear equations in one variable, featuring 10 engaging multiple-choice questions designed for 5th-grade students. It includes real-life multi-step word problems involving fractions, emphasizing practical applications of math skills.
Sarah is baking cookies. She needs 3/4 of a cup of sugar for one batch. If she wants to make 2 batches, how much sugar will she need in total?
1 1/2 cups
2 cups
3/4 cups
1 cup
Explanation
To find the total amount of sugar needed, we can multiply the amount needed for one batch by the number of batches.
Step 1: Calculate the sugar for 2 batches:
Total sugar = (3/4) × 2
Step 2: Convert 2 to a fraction:
Total sugar = (3/4) × (2/1)
Step 3: Multiply the numerators and the denominators:
Total sugar = (3 × 2) / (4 × 1) = 6/4
Step 4: Simplify 6/4:
Total sugar = 3/2 cups
Final answer: 3/2 cups or 1 1/2 cups.
John has 5/6 of a pizza left. He decides to share it equally with 2 friends. How much pizza will each person get?
1/2 of a pizza
5/6 of a pizza
1/3 of a pizza
5/18 of a pizza
Explanation
To find out how much pizza each person gets, we divide the total pizza by the number of people sharing it.
Step 1: Total people sharing including John = 2 friends + 1 John = 3 people.
Step 2: Divide the pizza:
Each person's share = (5/6) ÷ 3
Step 3: Convert 3 to a fraction:
Each person's share = (5/6) ÷ (3/1)
Step 4: To divide fractions, multiply by the reciprocal:
Each person's share = (5/6) × (1/3) = 5/18
Final answer: 5/18 of a pizza.
A recipe calls for 2/3 of a cup of oil. If Alice wants to make 3/4 of the recipe, how much oil does she need?
1/4 cup of oil
1/2 cup of oil
2/3 cup of oil
3/4 cup of oil
Explanation
To find out how much oil Alice needs, we multiply the oil needed by the fraction of the recipe she is making.
Step 1: Calculate the amount of oil:
Oil needed = (2/3) × (3/4)
Step 2: Multiply the numerators:
Oil needed = (2 × 3) / (3 × 4)
Step 3: Simplify:
Oil needed = 6/12 = 1/2
Final answer: 1/2 cup of oil.
Liam has 1/2 of a yard of ribbon. He wants to cut it into pieces that are each 1/8 of a yard long. How many pieces can he cut?
6 pieces
3 pieces
4 pieces
5 pieces
Explanation
To find out how many pieces Liam can cut, we divide the total length of ribbon by the length of each piece.
Step 1: Divide the ribbon length:
Number of pieces = (1/2) ÷ (1/8)
Step 2: Convert to multiplication:
Number of pieces = (1/2) × (8/1)
Step 3: Multiply:
Number of pieces = 8/2 = 4
Final answer: 4 pieces.
Maria is filling containers with juice. She has 3/5 of a gallon of juice and wants to fill containers that each hold 1/10 of a gallon. How many containers can she fill?
6 containers
5 containers
8 containers
4 containers
Explanation
To find out how many containers Maria can fill, we divide the total amount of juice by the capacity of each container.
Step 1: Divide the juice:
Number of containers = (3/5) ÷ (1/10)
Step 2: Convert to multiplication:
Number of containers = (3/5) × (10/1)
Step 3: Multiply:
Number of containers = 30/5 = 6
Final answer: 6 containers.
A gardener has 3/4 of a bag of soil. He uses 1/3 of it for a flower bed. How much soil does he have left?
1/4 of a bag
1/2 of a bag
3/4 of a bag
2/4 of a bag
Explanation
To find out how much soil is left, we first calculate how much soil was used and then subtract it from the total.
Step 1: Calculate the soil used:
Soil used = (3/4) × (1/3) = 3/12 = 1/4
Step 2: Subtract the used soil from the total:
Soil left = (3/4) - (1/4) = (3-1)/4 = 2/4 = 1/2
Final answer: 1/2 of a bag of soil.
Emily has 2/3 of a yard of fabric. She needs to cut a piece that is 1/6 of a yard long. How much fabric will she have left after cutting that piece?
1/4 yard
1/2 yard
1/3 yard
2/3 yard
Explanation
To find out how much fabric Emily has left, we subtract the piece she cuts from her total fabric.
Step 1: Find the amount cut:
Cut fabric = 1/6
Step 2: Convert to a common denominator to subtract:
(2/3) = (4/6)
Step 3: Subtract:
Fabric left = (4/6) - (1/6) = (4-1)/6 = 3/6 = 1/2
Final answer: 1/2 yard of fabric.
A cake recipe requires 5/6 of a cup of flour. If Mia wants to make only 1/2 of the cake, how much flour does she need?
1/3 cup
5/6 cup
2/3 cup
5/12 cup
Explanation
To find out how much flour Mia needs, we multiply the amount needed for the full recipe by the fraction she is making.
Step 1: Calculate the flour needed:
Flour needed = (5/6) × (1/2)
Step 2: Multiply the numerators:
Flour needed = (5 × 1) / (6 × 2) = 5/12
Final answer: 5/12 cup of flour.
Mark has 7/8 of a gallon of paint. He used 3/8 of a gallon for his project. How much paint does he have left?
3/8 gallon
1/2 gallon
5/8 gallon
1/4 gallon
Explanation
To find out how much paint Mark has left, we subtract the amount used from the total amount he had.
Step 1: Subtract the used paint:
Paint left = (7/8) - (3/8) = (7-3)/8 = 4/8 = 1/2
Final answer: 1/2 gallon of paint.
A box can hold 1/2 of a liter of juice. If Lucy has 3/4 of a liter, how many boxes can she fill completely?
1 complete box
2 complete boxes
3 complete boxes
1/2 box
Explanation
To find out how many boxes Lucy can fill, we divide the total amount of juice by the capacity of each box.
Step 1: Divide the juice:
Number of boxes = (3/4) ÷ (1/2)
Step 2: Convert to multiplication:
Number of boxes = (3/4) × (2/1)
Step 3: Multiply:
Number of boxes = 6/4 = 1 1/2
Final answer: 1 complete box.
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