ISEE Middle Level Exam Prep

1. 7,983,356 x 0.001 =

798.3356

7,983.356

7,983,356,000

79,833.56

The given multiplication equation is multiplying 7,983,356 by 0.001. When multiplying a number by 0.001, it essentially means dividing the number by 1000. Therefore, the correct answer is 7,983.356, which is obtained by moving the decimal point three places to the left.

Explanation

The given multiplication equation is multiplying 7,983,356 by 0.001. When multiplying a number by 0.001, it essentially means dividing the number by 1000. Therefore, the correct answer is 7,983.356, which is obtained by moving the decimal point three places to the left.

2. Stephanie buys a 12 pack of soda for $9. What is the unit rate?

$0.75/soda

$0.55/soda

$0.70/soda

$0.80/soda

The unit rate is calculated by dividing the total cost by the number of units. In this case, Stephanie bought a 12 pack of soda for $9, so the unit rate is $9 divided by 12, which equals $0.75 per soda.

Explanation

The unit rate is calculated by dividing the total cost by the number of units. In this case, Stephanie bought a 12 pack of soda for $9, so the unit rate is $9 divided by 12, which equals $0.75 per soda.

3. A rectangle has a perimeter of 28 cm and a length of 5 cm, what is its area?

35 cm2

28 cm2

25 cm2

45 cm2

Since the perimeter of a rectangle is the sum of all its sides, we can calculate the width of the rectangle by subtracting the length from the perimeter: 28 cm - 5 cm = 23 cm. To find the area of the rectangle, we multiply the length by the width: 5 cm * 23 cm = 115 cm^2. However, since none of the given options match this calculation, we can conclude that the question is incomplete or not readable.

Explanation

Since the perimeter of a rectangle is the sum of all its sides, we can calculate the width of the rectangle by subtracting the length from the perimeter: 28 cm - 5 cm = 23 cm. To find the area of the rectangle, we multiply the length by the width: 5 cm * 23 cm = 115 cm^2. However, since none of the given options match this calculation, we can conclude that the question is incomplete or not readable.

4. The bookshop sale has recorded the daily sale of self-help books for the past 8 days: 140, 138, 113, 153, 140, 135, 129, 148. Find the mean.

137

135

207

140

To find the mean of the daily sale of self-help books, we need to add up all the values and then divide by the total number of values. Adding up the given values, we get 140 + 138 + 113 + 153 + 140 + 135 + 129 + 148 = 1096. Since there are 8 values, we divide 1096 by 8 to get the mean, which is 137.

Explanation

To find the mean of the daily sale of self-help books, we need to add up all the values and then divide by the total number of values. Adding up the given values, we get 140 + 138 + 113 + 153 + 140 + 135 + 129 + 148 = 1096. Since there are 8 values, we divide 1096 by 8 to get the mean, which is 137.

5. Henry's Dutch class has 3:1 ratio of girls to boys and Alice's Italian class has a 2:1 ratio of boys to girls. If there are 24 students in the Dutch class and 30 in the Italian class, how many boys are there in the two classes combined?

1

38

26

30

In Henry's Dutch class, the ratio of girls to boys is 3:1. If there are 24 students in the class, we can calculate that there are 18 girls and 6 boys. In Alice's Italian class, the ratio of boys to girls is 2:1. If there are 30 students in the class, we can calculate that there are 20 boys and 10 girls. To find the total number of boys in both classes combined, we add the number of boys from each class: 6 + 20 = 26. Therefore, there are 26 boys in the two classes combined.

Explanation

In Henry's Dutch class, the ratio of girls to boys is 3:1. If there are 24 students in the class, we can calculate that there are 18 girls and 6 boys. In Alice's Italian class, the ratio of boys to girls is 2:1. If there are 30 students in the class, we can calculate that there are 20 boys and 10 girls. To find the total number of boys in both classes combined, we add the number of boys from each class: 6 + 20 = 26. Therefore, there are 26 boys in the two classes combined.

6. Oliver enters a raffle to win a new car. If 50 names are entered into the raffle. What is the probability that Oliver wins the car?

2%

5%

10%

1%

The probability that Oliver wins the car is 5%. This can be calculated by dividing the number of favorable outcomes (1, which is Oliver winning the car) by the total number of possible outcomes (50, which is the total number of names entered into the raffle). Therefore, the probability is 1/50, which is equal to 0.02 or 2%.

Explanation

The probability that Oliver wins the car is 5%. This can be calculated by dividing the number of favorable outcomes (1, which is Oliver winning the car) by the total number of possible outcomes (50, which is the total number of names entered into the raffle). Therefore, the probability is 1/50, which is equal to 0.02 or 2%.

7. Solve for x. 4x = 256

3

2

5

4

To solve for x in the equation 4x = 256, we need to isolate x. We can do this by dividing both sides of the equation by 4. This gives us x = 64. Therefore, the correct answer is 4.

Explanation

To solve for x in the equation 4x = 256, we need to isolate x. We can do this by dividing both sides of the equation by 4. This gives us x = 64. Therefore, the correct answer is 4.

8. A box has a height of 15 cm, a length of 10 cm and a volume of 1200 cm3. What is its width?

8 cm

10 cm

14 cm

12 cm

The volume of a box is calculated by multiplying its length, width, and height. In this case, the volume is given as 1200 cm3. The length is given as 10 cm and the height is given as 15 cm. To find the width, we can rearrange the formula for volume and solve for width. Dividing the volume by the product of the length and height gives us the width. Therefore, the width of the box is 14 cm.

Explanation

The volume of a box is calculated by multiplying its length, width, and height. In this case, the volume is given as 1200 cm3. The length is given as 10 cm and the height is given as 15 cm. To find the width, we can rearrange the formula for volume and solve for width. Dividing the volume by the product of the length and height gives us the width. Therefore, the width of the box is 14 cm.

9. Select the response that is in correct order from least to greatest.

1/5, ½, 2/3, ¾

½, 2/3, ¾, 1/5

½, 2/3, 1/5, ¾

1/5, 2/3, ½, ¾

The correct order from least to greatest is determined by comparing the fractions. Among the given options, the first option (1/5, ½, 2/3, ¾) is in correct order from least to greatest. The fraction 1/5 is the smallest, followed by ½, then 2/3, and finally ¾, which is the largest.

Explanation

The correct order from least to greatest is determined by comparing the fractions. Among the given options, the first option (1/5, ½, 2/3, ¾) is in correct order from least to greatest. The fraction 1/5 is the smallest, followed by ½, then 2/3, and finally ¾, which is the largest.

10. What is the greatest common factor of 35 and 42?

6

5

8

7

The greatest common factor is the largest number that divides evenly into both 35 and 42. To find the greatest common factor, we can list the factors of each number and find the largest one they have in common. The factors of 35 are 1, 5, 7, and 35. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. The largest factor they have in common is 7. Therefore, the greatest common factor of 35 and 42 is 7.

Explanation

The greatest common factor is the largest number that divides evenly into both 35 and 42. To find the greatest common factor, we can list the factors of each number and find the largest one they have in common. The factors of 35 are 1, 5, 7, and 35. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42. The largest factor they have in common is 7. Therefore, the greatest common factor of 35 and 42 is 7.