Math Exam Practice Quiz For A 7th Gradee

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Math Exam Practice Quiz For A 7th Gradee - Quiz


For many students, math is one of the most challenging subjects due to the complexity involved in solving different problems. Do you have some difficulties in math and are looking for a way to refresh your understanding? This is a 7th-grade math practice quiz. This quiz is what you need, do give it a try and see how well you will do.


Questions and Answers
  • 1. 

    Joe had $5 to buy milk, bread, and eggs. When he got to the store he found that the prices were as shown: Milk-$1.50/Eggs-$1.29/Bread-$1.44 At which of these times would it make sense to use estimates rather than exact?

    • A.

      When the clerk counted Joe's change

    • B.

      When Joe was told how much he owed

    • C.

      When Joe tried to decide whether $5 was enough money

    Correct Answer
    C. When Joe tried to decide whether $5 was enough money
    Explanation
    When Joe tried to decide whether $5 was enough money, it would make sense to use estimates rather than exact values. This is because using estimates would give Joe a rough idea of whether he has enough money to buy all the items or not. Exact values may not be necessary in this situation as Joe only needs to determine if $5 is sufficient, rather than calculating the exact cost of each item.

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  • 2. 

    Divide:   8/35+4/15

    • A.

      1/2

    • B.

      6/7

    • C.

      7/6

    Correct Answer
    B. 6/7
    Explanation
    The given expression is a division of two fractions. To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. In this case, the reciprocal of 4/15 is 15/4. Multiplying 8/35 by 15/4 gives us (8/35) * (15/4) = (8 * 15) / (35 * 4) = 120/140. Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 20, we get 6/7. Therefore, the correct answer is 6/7.

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  • 3. 

     24.56 Divided by 0.004

    • A.

      6280

    • B.

      6140

    • C.

      6030

    Correct Answer
    B. 6140
  • 4. 

    Last year there were 1172 students at Beaton High School. This year there are 15 percent more students than last year. Approximately how many students are at Beaton High School this year?

    • A.

      1800

    • B.

      1600

    • C.

      1400

    Correct Answer
    C. 1400
    Explanation
    The question states that there were 1172 students at Beaton High School last year. It also mentions that this year there are 15 percent more students than last year. To find the approximate number of students this year, we can calculate 15 percent of 1172, which is 175. Adding this to the number of students last year, we get 1172 + 175 = 1347. Since the question asks for an approximate answer, we can round this to the nearest hundred, which gives us 1400. Therefore, the correct answer is 1400.

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  • 5. 

    Two groups of tourists each have 60 people. If 3/4 of the first group and 2/3 of the second group board buses to travel to a museum, how many more people in the first group board buses than in the second group?

    • A.

      8

    • B.

      5

    • C.

      3

    Correct Answer
    B. 5
    Explanation
    The first group has 3/4 of 60 people, which is 45 people. The second group has 2/3 of 60 people, which is 40 people. Therefore, 45 - 40 = 5 more people in the first group board buses than in the second group.

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  • 6. 

    A quadrilateral MUST be a parallelogram if it has

    • A.

      one pair of adjacent sides equal.

    • B.

      One pair of parallel sides

    • C.

      Two pairs of parallel sides.

    Correct Answer
    C. Two pairs of parallel sides.
    Explanation
    A quadrilateral must be a parallelogram if it has two pairs of parallel sides. This is because a parallelogram is defined as a quadrilateral with opposite sides that are parallel and equal in length. If a quadrilateral has two pairs of parallel sides, it means that both pairs of opposite sides are parallel and equal, satisfying the definition of a parallelogram.

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  • 7. 

    What is the ratio of the length of a side of a square to its perimeter?

    • A.

      1:4

    • B.

      1:1

    • C.

      1:3

    Correct Answer
    A. 1:4
    Explanation
    The ratio of the length of a side of a square to its perimeter is 1:4. This means that the length of one side of the square is one-fourth of its perimeter. In a square, all sides are equal in length, so if we let x represent the length of one side, the perimeter would be 4x. Therefore, the ratio of the length of a side to its perimeter is 1:4.

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  • 8. 

    If m represents a positive number, which of these is equivalent to m+ m + m + m?

    • A.

      M+4

    • B.

      4m

    • C.

      M^4

    Correct Answer
    B. 4m
    Explanation
    The expression "m + m + m + m" represents adding four instances of the number m together. This can be simplified as 4m, which means multiplying m by 4. Therefore, the correct equivalent expression is 4m.

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  • 9. 

    Brad wanted to find three consecutive whole numbers that add up to 81. He wrote the equation (n - 1) + n + (n + 1) = 81

    • A.

      The least of the whole three numbers

    • B.

      The middle whole number

    • C.

      The greatest of the three whole numbers

    Correct Answer
    B. The middle whole number
    Explanation
    The equation (n - 1) + n + (n + 1) = 81 represents the sum of three consecutive whole numbers. The middle whole number is represented by "n" in the equation. By solving the equation, we can find the value of "n" which will give us the middle whole number.

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  • 10. 

    Juan has 5 fewer hats than Maria, and Clarissa has 3 times as many hats as Juan. If Maria has n hats, which of these represents the number of hats that Clarissa has?

    • A.

      5-3n

    • B.

      3n

    • C.

      3(n-5)

    Correct Answer
    C. 3(n-5)
    Explanation
    Clarissa has 3 times as many hats as Juan, who has 5 fewer hats than Maria. Therefore, Juan has n-5 hats. Multiplying this by 3 gives us 3(n-5), which represents the number of hats that Clarissa has.

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  • 11. 

    Which of these is the longest time?

    • A.

      15,000 seconds

    • B.

      1500 minutes

    • C.

      10 hours

    Correct Answer
    B. 1500 minutes
    Explanation
    The longest time is 1500 minutes because it is a larger unit of time compared to the other options. 1500 minutes is equivalent to 25 hours, which is greater than 10 hours and 15,000 seconds.

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  • 12. 

    Which one of these is equal to y^3?

    • A.

      Y+y+y

    • B.

      Yxyxy

    • C.

      Y^2+y

    Correct Answer
    B. Yxyxy
    Explanation
    The expression "yxyxy" is equal to y^3 because it represents the multiplication of y with itself three times. Each "y" in the expression represents y^1, and since we have three "y"s, we can multiply them together to get y^3.

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  • 13. 

    In a bag of cards, 1/6 are green, 1/12 are yellow, 1/2 are white and 1/4 are blue. If someone takes a card from the bag without looking, which color is it most likely to be?

    • A.

      White

    • B.

      Blue

    • C.

      Green

    Correct Answer
    A. White
    Explanation
    The card is most likely to be white because it has the highest probability of being chosen. The bag contains 1/2 white cards, which is the largest proportion compared to the other colors.

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  • 14. 

    The number of 750 mL bottles that can be filled from 600 L of water is_________

    • A.

      800

    • B.

      250

    • C.

      680

    Correct Answer
    A. 800
    Explanation
    To find the number of 750 mL bottles that can be filled from 600 L of water, we need to convert the volume of water to the same unit as the volume of each bottle. Since there are 1000 mL in 1 L, 600 L is equal to 600,000 mL. Dividing 600,000 mL by 750 mL gives us 800, which is the number of bottles that can be filled. Therefore, the correct answer is 800.

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  • 15. 

    A cake is put in the oven at 7:20. If the cake takes three-quarters of an hour to bake, at what time should it be taken out of the oven?

    • A.

      8:10

    • B.

      8:05

    • C.

      8:15

    Correct Answer
    B. 8:05
    Explanation
    The cake takes three-quarters of an hour to bake, which is equivalent to 45 minutes. If the cake was put in the oven at 7:20, then it should be taken out 45 minutes later. Adding 45 minutes to 7:20 gives us 8:05, which is the correct time to take the cake out of the oven.

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  • 16. 

    Which of these is closest to the length of the pencil in the figure?

    • A.

      9cm

    • B.

      10.5cm

    • C.

      12cm

    Correct Answer
    B. 10.5cm
    Explanation
    The length of the pencil in the figure is closest to 10.5cm.

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  • 17. 

    A cake is put in the oven at 7:20. If the cake takes three-quarters of an hour to bake, at what time should it be taken out of the oven?

    • A.

      18cm

    • B.

      12cm

    • C.

      18cm

    Correct Answer
    B. 12cm
  • 18. 

    To mix a certain color of paint, Alana combines 5 liters of red paint, 2 liters of blue paint, and 2 liters of yellow paint. What is the ratio of red paint to the total amount of paint?

    • A.

      5:2

    • B.

      5:9

    • C.

      5:4

    Correct Answer
    B. 5:9
    Explanation
    The ratio of red paint to the total amount of paint is 5:9. This means that for every 5 liters of red paint, there are 9 liters of paint in total.

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  • 19. 

    Three-fifths of the students in a class are girls. If 5 girls and 5 boys are added to the class, which statement is true of the class?

    • A.

      There are more boys than girls

    • B.

      There are the same number of girls as there are boys.

    • C.

      You cannot tell whether there are more girls or boys from the information given

    Correct Answer
    A. There are more boys than girls
    Explanation
    Since three-fifths of the students in the class are girls, it means that the remaining two-fifths are boys. Adding 5 girls and 5 boys to the class does not change the ratio of girls to boys. Therefore, there will still be more boys than girls in the class.

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  • 20. 

    What is the weight (mass) shown on the scale?

    • A.

      153g

    • B.

      160g

    • C.

      180g

    Correct Answer
    C. 180g
    Explanation
    The weight (mass) shown on the scale is 180g because it is the only option provided.

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  • 21. 

    The graph shows the distance traveled before coming to a stop after the brakes are applied for a typical car traveling at different speeds. A car is traveling 80 km per hour. About how far will the car travel after the brakes are applied?

    • A.

      60m

    • B.

      70m

    • C.

      85m

    Correct Answer
    B. 70m
    Explanation
    The graph shows that as the speed of the car increases, the distance traveled before coming to a stop also increases. At a speed of 80 km per hour, the car will travel approximately 70m before coming to a stop after the brakes are applied.

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  • 22. 

    How many triangles of the shape and size of the shaded triangle can the trapezoid above be divided into?

    • A.

      Three

    • B.

      Four

    • C.

      Five

    Correct Answer
    C. Five
    Explanation
    The trapezoid can be divided into five triangles of the same shape and size as the shaded triangle.

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