7th Grade Math Word Problems Quiz

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  • 1/10 Questions

    Stephanie had $40.00 savings. Her mother gave her another $30.00 and her grandmother gave her $10.00 to buy a pair of cleats. The pair of cleats Stephanie wants costs $54.99. If Stephanie buys the cleats at a no TAX sale, write an equation using a variable to describe the amount of money that Stephanie will have to contribute from her savings. Solve for the variable.

    • $30.00 + $10.00 = $40.00 $40.00 + x = $54.99 x = $14.99
    • $30.00 + $10.00 = $40.00 $40.00 + x = $54.99 x = $15.00
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About This Quiz

Are you ready to put your math skills to the test? Dive into our 7th Grade Math Word Problems Quiz and challenge yourself with a variety of real-world math problems designed to enhance your problem-solving abilities. This quiz covers key topics such as ratios, percentages, algebra, geometry, and more, providing a comprehensive assessment of your mathematical knowledge. Perfect for students, teachers, and math enthusiasts, our quiz offers an engaging way to practice and improve your skills.

Each question is carefully crafted to reflect the types of word problems you might encounter in a 7th-grade math curriculum, helping you to think critically and apply mathematical concepts to everyday scenarios. Whether you're looking to brush up on your math skills or prepare for an upcoming test, this quiz is an excellent resource.

Take on the challenge, see how you score, and identify areas for improvement. With instant feedback and detailed explanations for each answer, you'll gain a deeper understanding of math word problems and boost your confidence. Ready to excel in math? Start the 7th Grade Math Word Problems Quiz now!

7th Grade Math Word Problems Quiz - Quiz

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  • 2. 

    Three ducks and two ducklings weigh 32 kg. Four ducks and three ducklings weigh 44kg. All ducks weigh the same and all ducklings weigh the same. What is the weight of two ducks and one duckling?

    • 15kgs

    • 18 kgs

    • 20 kgs

    • 10kgs

    Correct Answer
    A. 20 kgs
    Explanation
    Given:

    Three ducks and two ducklings weigh 32 kg.
    Four ducks and three ducklings weigh 44 kg.
    Let's denote the weight of one duck by 
    𝑑
    d kg and the weight of one duckling by 
    𝑙
    l kg.

    From the problem, we can form the following equations:
    3d+2l=32
    4d+3l=44
    We need to find the weight of two ducks and one duckling, which is represented as 
    2d+l.

    First, solve the system of linear equations.

    Multiply the first equation by 3 and the second equation by 2 to eliminate 𝑙
    3(3d+2l)=3×32⟹9d+6l=96
    2(4d+3l)=2×44⟹8d+6l=88
    Subtract the second equation from the first:
    9d+6l−(8d+6l)=96−88
    9d−8d=8
    d=8
    Now substitute 
    d=8 into the first equation:
    3(8)+2l=32
    24+2l=32
    2l=32−24
    2l=8
    l=4
    We have 
    d=8 and 
    l=4.
    Now, find the weight of two ducks and one duckling 
    2d+l:
    2(8)+4=16+4=20
    Therefore, the weight of two ducks and one duckling is 
    20 kg.

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  • 3. 

    The rent-a-stall horse barn has stalls for 1000 horses. Forty percent of the stalls are for ponies. On Tuesday, there were 200 ponies and a bunch of quarter horses at the horse barn. The horse barn was 75 percent full. How many quarter horses were in the stalls?

    • 700 quarter horses

    • 550 quarter horses

    • 200 quarter horses

    • 555 quarter horses

    Correct Answer
    A. 550 quarter horses
  • 4. 

    A farmer grows 252 kilograms of apples. He sells them to a grocer who divides them into 5 kilogram and 2 kilogram bags. If the grocer uses the same number of 5 kg bags as 2kg bags, then how many bags did he use in all?

    • 72 bags

    • 70 bags

    • 60 bags

    • 65 bags

    Correct Answer
    A. 72 bags
  • 5. 

    A 800 seat multiplex is divided into 3 theatres. There are 270 seats in Theatre 1, and there are 150 more seats in Theatre 2 than in Theatre 3. How many seats are in Theatre 2?

    • 300 seats

    • 340 seats

    • 210 seats

    • 350 seats

    Correct Answer
    A. 340 seats
  • 6. 

    It takes one man one day to dig a 2m x 2m x 2m hole. How long does it take 3 men working at the same rate to dig a 4m x 4m x 4m hole?

    • 2 1/2 days

    • 2 2/3 days

    • 1/2 day

    • 1 7/8 days

    Correct Answer
    A. 2 2/3 days
    Explanation
    First, let's determine the volume of the holes being dug.

    The volume of the 2m x 2m x 2m hole:
    V 1 =2×2×2=8 cubic meters

    The volume of the 4m x 4m x 4m hole:
    V 2 =4×4×4=64 cubic meters

    We know that it takes one man one day to dig an 8 cubic meter hole. Therefore, one man digs at a rate of:
    Rate of one man=8 cubic meters per day

    Next, let's calculate the total work required to dig the 64 cubic meter hole.

    The work required to dig a 64 cubic meter hole is:
    Total work=64 cubic meters

    Three men working together at the same rate will have a combined rate of:
    Rate of three men=3×8=24 cubic meters per day

    To find the time 
    t it takes for three men to dig the 64 cubic meter hole, we use the formula:
    Time= Rate/Total work​
    Substituting the values:
    𝑡 = 64 cubic meters / 24 cubic meters per day
       = 64/24
       = 8/3 days
    Converting 8/3​ into a mixed fraction:

    8 ÷ 3 = 2 with a remainder of 2
    8/3=2 2/3
    Therefore, it takes three men days to dig a 4m x 4m x 4m hole.

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  • 7. 

    Mary has $50.00. She goes to the mall and buys lipstick and then she buys shampoo, which is half the price of the lipstick. She then spends half of what she has left on a purse, leaving her with $15.00. How much did the shampoo cost? How much did the lipstick cost?

    • $7.00; $15.00

    • $6.67; $13.33

    • $13.33; $6.67

    • $13.33 for both

    Correct Answer
    A. $6.67; $13.33
    Explanation
    Mary spends a certain amount on lipstick and half that amount on shampoo, then spends half of her remaining money on a purse, ending with $15.

    Steps:

    1. Initial and remaining money:
    Start with $50.
    After buying lipstick and shampoo, and then spending half of the remainder on a purse, she's left with $15.
    2. Let x represent the cost of the lipstick; then shampoo costs x/2
    3. Equation setup after purchasing and spending:
    Money left after buying both: 50- x - x/2
    Half of this amount is spent on purse, remaining is $15:
    (50- x- x/2)/2 = 15
    Solving this gives: 50 - x - x/2 = 30
    50 - 1.5x=30
    1.5x=20
    x=20/1.5
    x=$13.33
    4. Cost of shampoo and final answer:
    Shampoo costs x/2=13.33/2=6.67
    ThereforeLipstick cost $13.33 and shampoo cost $6.67.

    Rate this question:

  • 8. 

    A rectangular chalk board is 3 times as long as it is wide. If it were 3 metres shorter and 3 metres wider, it would be square. What are the dimensions of the chalk board?

    • 3 meters wide;9 meters long

    • 2 meters wide;6 meters long

    • 9 meters wide;3 meters long

    • 6 meters wide;2 meters long

    Correct Answer
    A. 3 meters wide;9 meters long
  • 9. 

    In 1969 the price of 5 kilograms of flour was $0.75. In 1970 the price was increased 15 percent. In 1971, the 1970 price was decreased by 5 percent. What was the price of 5 kilograms of flour in 1971?

    • $0.90

    • $1.00

    • $0.86

    • $0.82

    Correct Answer
    A. $0.82
  • 10. 

    Three people share a car for a period of one year and the mean number of kilometers travelled by each person is 152 per month. How many kilometers will be travelled in one year?

    • 6049 km/year

    • 6000 km/year

    • 5500 km/year

    • 5472 km/year

    Correct Answer
    A. 5472 km/year

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  • Current Version
  • Oct 22, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Apr 17, 2010
    Quiz Created by
    Weena56
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