1.
What is ^{4}/_{12} + ^{6}/_{12 }in simplest form?
Correct Answer
D. 5/6
Explanation
To find the sum of 4/12 and 6/12 in simplest form, we add the numerators (4 + 6 = 10) and keep the denominator the same (12). Therefore, the sum is 10/12. To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2. Dividing 10 by 2 gives us 5, and dividing 12 by 2 gives us 6. Therefore, the simplified form of 10/12 is 5/6.
2.
Which is the closest estimate of 3^{1}/_{3} - 1^{3}/_{8}
Correct Answer
B. 1 1/2
Explanation
To find the closest estimate of 31/3 - 13/8, we can convert both fractions to have a common denominator. The common denominator for 3 and 8 is 24. So, we can rewrite 31/3 as 248/24 and 13/8 as 39/24. Subtracting these values, we get 248/24 - 39/24 = 209/24. Simplifying this fraction, we get 8 17/24. Since 8 is closer to 9 than to 7, the closest estimate is 8 17/24, which is approximately equal to 1 1/2.
3.
Adina has a 4-foot piece of rope and she wants to cut it into 3 ^{1}/_{2 }-foot lengths. How many 3 ^{1}/_{2 }-foot pieces can she make from the original rope?
Correct Answer
B. 4 pieces
Explanation
Adina has a 4-foot piece of rope and wants to cut it into 3 1/2-foot lengths. To determine how many 3 1/2-foot pieces she can make, we need to divide the total length of the rope (4 feet) by the desired length of each piece (3 1/2 feet). When we divide 4 by 3 1/2, we get a quotient of 1 with a remainder of 1/2. This means Adina can make 1 full 3 1/2-foot piece and have 1/2 foot of rope left over. Therefore, she can make 1 full piece and an additional piece from the remaining 1/2 foot, resulting in a total of 2 pieces.
4.
Use mental math to find the value of y.^{7}/_{18} = ^{y}/_{36}
Correct Answer
B. 14
Explanation
To find the value of y, we can set up a proportion using the given equation. Cross-multiplying, we get 7 * 36 = 18 * y. Simplifying further, we have 252 = 18y. Dividing both sides by 18, we find that y = 14. Therefore, the correct answer is 14.
5.
What is 37 out of every 100 throws expressed as a percent?
Correct Answer
C. 37%
Explanation
The correct answer is 37% because out of every 100 throws, 37 of them are being referred to. To express this as a percent, we divide 37 by 100 and then multiply by 100 to get the percentage. This calculation gives us 37%.
6.
How many lines of symetry does a rectangle have?
Correct Answer
C. 2
Explanation
A rectangle has two lines of symmetry because it can be divided into two equal halves by a vertical line passing through its center and a horizontal line passing through its center.
7.
What is the perimeter of an equilateral triangle whose sides are 16 centimeters?
Correct Answer
C. 48 cm
Explanation
An equilateral triangle has all three sides equal in length. In this case, the sides of the triangle are given as 16 centimeters. To find the perimeter, we need to add up the lengths of all three sides. Since all three sides are equal, we can simply multiply the length of one side by 3. Therefore, the perimeter of the equilateral triangle is 16 cm x 3 = 48 cm.
8.
What is the perimeter of a square with an area of 16 square centimeters?
Correct Answer
D. 16 cm
Explanation
The perimeter of a square is the sum of all its sides. In this case, since the area of the square is given as 16 square centimeters, we can find the length of one side by taking the square root of the area. The square root of 16 is 4, so each side of the square is 4 centimeters. Since a square has four equal sides, the perimeter of this square would be 4 + 4 + 4 + 4 = 16 cm.
9.
What is the perimeter of this figure?
Correct Answer
C. 60 ft
10.
What is the area of the figure below?^{}
Correct Answer
C. 49 square inches
11.
What is the compliment of an angle whose measure is 32 degrees?
Correct Answer
A. 58 degrees
Explanation
The complement of an angle is the angle that, when added to the given angle, equals 90 degrees. Since the given angle measures 32 degrees, the complement would be 90 - 32 = 58 degrees.
12.
The length of a bridge on a map is 3 inches. The actual length of the bridge is 12 miles. What is the scale of the map?
Correct Answer
A. 1 in : 4 mi
Explanation
The scale of the map is 1 inch represents 4 miles. This means that for every inch on the map, the actual distance is 4 miles. Since the length of the bridge on the map is 3 inches, the actual length of the bridge is 3 inches x 4 miles/inch = 12 miles.
13.
What is the area of a circle whose radius is 3 meters? Use 3.14 for pi
Correct Answer
C. 28.26 square meters
Explanation
The area of a circle can be calculated using the formula A = Ï€r^2, where A is the area and r is the radius. In this case, the radius is given as 3 meters. Plugging this value into the formula, we get A = 3.14 * 3^2 = 3.14 * 9 = 28.26 square meters.
14.
What is the name of a polygon with six sides?
Correct Answer
C. Hexagon
Explanation
A polygon with six sides is called a hexagon.
15.
Write ^{2}/_{5} as a percent and as a decimal.
Correct Answer
C. 40%, 0.4
Explanation
The correct answer is 40%, 0.4. To convert a fraction to a percent, we divide the numerator by the denominator and multiply by 100. In this case, 2 divided by 5 is 0.4, and when multiplied by 100, it becomes 40%. To convert a fraction to a decimal, we divide the numerator by the denominator. Again, 2 divided by 5 is 0.4. Therefore, the fraction 2/5 can be expressed as 40% or 0.4.
16.
What is 35% of 46?
Correct Answer
B. 16.1
Explanation
To find 35% of 46, we can multiply 46 by 0.35. This gives us 16.1, which is the correct answer.
17.
Find the surface area of a rectangular prism with a length of 5 cm, a width of 4 cm, and a height of 3 cm.
Correct Answer
C. 94 square cm
Explanation
To find the surface area of a rectangular prism, we need to calculate the area of each face and then add them together. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Plugging in the given values, we get 2(5)(4) + 2(5)(3) + 2(4)(3) = 40 + 30 + 24 = 94 square cm. Therefore, the correct answer is 94 square cm.
18.
What is the area of a parallelogram with a height of 3.7 m and a base of 4.2 m?
Correct Answer
B. 15.54 square meters
Explanation
The area of a parallelogram is calculated by multiplying the base length by the height. In this case, the base length is 4.2 m and the height is 3.7 m. Therefore, the area is 4.2 m * 3.7 m = 15.54 square meters.
19.
How many sides does a pentagon have?
Correct Answer
five
5
Explanation
A pentagon is a polygon with five sides. Therefore, the correct answer is five or 5.
20.
Kelly baby-sits weekly and earns $3.75 an hour. Click here to see a spreadsheet that shows a typical weekly schedule for her. What formula would you type in cell D4?
Correct Answer
B. = C4 - B4
Explanation
The formula = C4 - B4 would be typed in cell D4. This formula calculates the difference between the value in cell C4 (the total earnings) and the value in cell B4 (the hours worked). This would give Kelly her total earnings for the week.
21.
Kelly baby-sits weekly and earns $3.75 an hour. Click here to see a spreadsheet that shows a typical weekly schedule for her. What formula would you type in cell E6?
Correct Answer
A. = E2 + E3 + E4 + E5
Explanation
The correct formula to type in cell E6 is = E2 + E3 + E4 + E5. This formula will add up the values in cells E2, E3, E4, and E5, which likely represent the number of hours Kelly baby-sits each day of the week. By summing these values, the formula calculates the total number of hours Kelly baby-sits in a week.