Math Exam Practice Quiz For A 7th Gradee

1) 24.56 Divided by 0.004

6280

6140

6030

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Explanation

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2) 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?

When the clerk counted Joe's change

When Joe was told how much he owed

When Joe tried to decide whether $5 was enough money

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.

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.

3) 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?

White

Blue

Green

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.

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.

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

1:4

1:1

1:3

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.

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.

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

153g

160g

180g

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

Explanation

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

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

M+4

4m

M^4

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.

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.

7) 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?

8

5

3

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.

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.

8) 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?

8:10

8:05

8:15

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.

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.

9) 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?

18cm

12cm

18cm

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Explanation

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10) Divide: 8/35+4/15

1/2

6/7

7/6

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.

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.

11) 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?

5:2

5:9

5:4

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.

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.

12) 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?

5-3n

3n

3(n-5)

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.

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.

13) 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?

1800

1600

1400

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.

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.

14) A quadrilateral MUST be a parallelogram if it has

One pair of adjacent sides equal.

One pair of parallel sides

Two pairs of parallel sides.

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.

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.

15) Which of these is the longest time?

15,000 seconds

1500 minutes

10 hours

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.

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.

16) Which one of these is equal to y^3?

Y+y+y

Yxyxy

Y^2+y

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.

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.

17) 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?

60m

70m

85m

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.

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.

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

The least of the whole three numbers

The middle whole number

The greatest of the three whole numbers

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.

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.

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

9cm

10.5cm

12cm

The length of the pencil in the figure is closest to 10.5cm.

Explanation

The length of the pencil in the figure is closest to 10.5cm.

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

800

250

680

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.

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.

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

Three

Four

Five

The trapezoid can be divided into five triangles of the same shape and size as the shaded triangle.

Explanation

The trapezoid can be divided into five triangles of the same shape and size as the shaded triangle.

22) 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?

There are more boys than girls

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

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

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.

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.