Level 1
What is the value of 5 + 7?
Answer: The sum of 5 and 7 is 12.
What is the value of the digit 4 in the number 4,685?
Explanation: In the number 4,685, the digit 4 is in the hundreds place.
The value of the digit 4 in the hundreds place is 400.
What is the quotient of 84 divided by 7?
Explanation: The quotient is the result of dividing one number by another. In this case, the quotient of 84 divided by 7 is 12.
What is the sum of 3/4 and 2/5?
Explanation: To add fractions, we need a common denominator. In this case, the common denominator is 20. Converting both fractions to have a denominator of 20, we have 15/20 + 8/20, which equals 23/20. Simplifying, the sum is 1 and 3/20, which can be written as 1.15 as a mixed number.
Which of the following is the next number in the pattern: 3, 6, 9, 12, ... ?
Explanation: The pattern is increasing by adding 3 to each number. Therefore, the next number in the pattern is 15.
If a rectangle has a length of 8 units and a width of 3 units, what is its area?
Answer: The area of the rectangle is found by multiplying its length and width, so the area is 8 × 3 = 24 square units.
What is the place value of the digit 7 in the number 9,735?
Explanation: In the number 9,735, the digit 7 is in the thousands place. The place value of the digit 7 is thousands.
Which of the following is an example of a prime number?
Explanation: A prime number is a number greater than 1 that is only divisible by 1 and itself. Among the given options, 11 is a prime number because it can only be divided by 1 and 11 without any remainder.
Which of the following is a right angle?
Explanation: A right angle measures exactly 90 degrees. Among the given options, b. 90 degrees represents a right angle.
What is the median of the following set of numbers: 5, 8, 9, 11, 14, 15?
Explanation: The median is the middle value in a set of numbers when they are arranged in order. In this case, the numbers are already in order, so the median is the middle number, which is 11.
How many sides does a hexagon have?
Answer: A hexagon has six sides.
Which of the following fractions is equivalent to 1/4?
Explanation: To find an equivalent fraction, we need to multiply or divide both the numerator and denominator by the same number. In this case, multiplying 1/4 by 2/2 gives us 2/8, which is equivalent to 1/4.
What is the perimeter of a rectangle that is 8 feet long and 5 feet wide?
Explanation: The perimeter of a rectangle is the sum of all its side lengths. In this case, the rectangle has two sides of length 8 feet and two sides of length 5 feet. Thus, the perimeter is calculated by adding all the side lengths: 8 + 8 + 5 + 5 = 26 feet.
What is the value of the missing angle in a triangle with angles measuring 45 degrees and 90 degrees?
Explanation: The sum of the angles in a triangle is always 180 degrees. Given that one angle measures 45 degrees and another angle measures 90 degrees, we can find the missing angle by subtracting the sum of these two angles from 180 degrees. Therefore, the missing angle measures 45 degrees.
Which of the following is the mode of the following set of numbers: 2, 3, 3, 5, 6, 6, 6, 7?
Explanation: The mode is the number(s) that appear most frequently in a set. In this case, the number 6 appears three times, which is more than any other number. Therefore, the mode is 6.
What is the value of 3 × 4 + 2?
Answer: We follow the order of operations (multiplication first, then addition), so 3 × 4 + 2 = 12 + 2 = 14.
Which of the following is the greatest common factor of 24 and 36?
Explanation: The greatest common factor (GCF) is the largest number that divides evenly into both given numbers. In this case, the GCF of 24 and 36 is 12.
What is the area of a square with a side length of 7 cm?
Explanation: The area of a square is calculated by multiplying the length of one side by itself. In this case, the side length is 7 cm, so the area is 7 cm multiplied by 7 cm, which equals 49 square cm.
Which of the following is the formula for finding the circumference of a circle?
Explanation: The circumference of a circle is calculated using the formula C = 2πr, where C represents the circumference and r represents the radius of the circle. Among the given options, b. C = 2πr is the formula for finding the circumference.
If a rectangle has a length of 12 units and a width of 6 units, what is the area of the rectangle?
Explanation: The area of a rectangle is calculated by multiplying its length and width. In this case, the length is 12 units and the width is 6 units. Thus, the area is 12 units multiplied by 6 units, which equals 72 square units.
Question: What is the value of 1/4 + 1/4?
Answer: To add fractions with the same denominator, we simply add their numerators, so 1/4 + 1/4 = 2/4. However, we can simplify this fraction by dividing the numerator and denominator by their greatest common divisor, which is 2. Thus, the simplified answer is 1/2.
What is the product of 6 and 9?
Explanation: The product is the result of multiplying two numbers together. In this case, the product of 6 and 9 is 54.
Which of the following is the decimal equivalent of 5/8?
Explanation: To convert a fraction to a decimal, divide the numerator by the denominator. In this case, 5 divided by 8 equals 0.625.
What is the volume of a rectangular prism that is 4 meters long, 3 meters wide, and 2 meters tall?
Explanation: The volume of a rectangular prism is calculated by multiplying its length, width, and height. In this case, the volume is 4 meters × 3 meters × 2 meters, which equals 24 cubic meters.
What is the value of 3 x 4 + 5 - 2 ÷ 2?
Explanation: To evaluate this expression, follow the order of operations: first, perform the division, then the multiplication, and finally the addition and subtraction. Therefore, the expression simplifies to 12 + 5 - 1 = 16 - 1 = 15.