1.
3 - 0.3 =
Correct Answer
C. 2.7
Explanation
The given question is a subtraction problem. To find the answer, we subtract 0.3 from 3. This can be done by aligning the decimal points and subtracting each digit. Starting from the right, we subtract 0 from 3, which gives us 3. Then we subtract 0 from 0, which gives us 0. Finally, we subtract 3 from 3, which gives us 0. Therefore, the result of 3 - 0.3 is 2.7.
2.
49.4 × 17.7=
Correct Answer
A. 874.38
Explanation
The correct answer is 874.38. This is the result of multiplying 49.4 by 17.7.
3.
655.54 - 288.65=
Correct Answer
B. 366.89
Explanation
The correct answer is 366.89 because when you subtract 288.65 from 655.54, you get the result of 366.89.
4.
9.842 ÷ 1.9 =
Correct Answer
D. 5.18
Explanation
To solve the division problem 9.842 ÷ 1.9, we divide the numerator (9.842) by the denominator (1.9). The quotient is the result of the division. In this case, the quotient is 5.18. Therefore, the correct answer is 5.18.
5.
602 - 227.7
Correct Answer
A. 374.3
Explanation
The correct answer is 374.3. This is the result of subtracting 227.7 from 602.
6.
90.2 × 8.9
Correct Answer
C. 802.78
Explanation
The correct answer is 802.78 because when you multiply 90.2 by 8.9, you get the product of 802.78.
7.
6/9 + 2/9=
Correct Answer
B. 8/9
Explanation
When adding fractions, you need to have a common denominator. In this case, both fractions have a denominator of 9, so you can simply add the numerators together. 6 + 2 equals 8, so the numerator is 8. The denominator remains 9. Therefore, the sum of 6/9 and 2/9 is 8/9.
8.
8/9 - 5/18=
Correct Answer
B. 11/18
Explanation
To subtract fractions, we need to have a common denominator. In this case, the common denominator is 18. So, we rewrite 8/9 as 16/18. Now, we can subtract the two fractions: (16/18) - (5/18) = 11/18. Therefore, the correct answer is 11/18.
9.
-3 + 4 =
Correct Answer
C. 1
Explanation
The given equation is -3 + 4. When we add -3 and 4 together, we get a sum of 1.
10.
-3 + -15=
Correct Answer
A. ‾18
Explanation
When adding two negative numbers, the result is always negative. In this case, -3 plus -15 equals -18.
11.
-4 × -10=
Correct Answer
A. 40
Explanation
When we multiply two negative numbers, the result is always positive. In this case, -4 multiplied by -10 gives us a positive value of 40.
12.
-9 × 2=
Correct Answer
B. -18
Explanation
When you multiply -9 by 2, you get -18.
13.
138 × 8=
Correct Answer
B. 1104
Explanation
When multiplying 138 by 8, we can use the standard multiplication method. Multiply the ones digit of 138 (8) by 8, which gives us 64. Write down the 4 and carry over the 6 to the tens place. Multiply the tens digit of 138 (3) by 8, which gives us 24. Add the carried over 6, which gives us 30. Write down the 0 and carry over the 3 to the hundreds place. Multiply the hundreds digit of 138 (1) by 8, which gives us 8. Add the carried over 3, which gives us 11. Write down the 1 and carry over the 1 to the thousands place. Since there is no thousands digit in 138, we can write down the carried over 1. Therefore, the product of 138 and 8 is 1,104.
14.
36 × 47=
Correct Answer
A. 1692
Explanation
The correct answer is 1692 because when you multiply 36 by 47, you get the product of 1692.
15.
2130 ÷ 30 =
Correct Answer
A. 71
Explanation
The given division problem is 2130 ÷ 30. To solve this, we divide 2130 by 30, which gives us the quotient of 71. Therefore, the correct answer is 71.
16.
1037 × 6=
Correct Answer
D. 6222
Explanation
The correct answer is 6222 because when you multiply 1037 by 6, you get 6222.
17.
234 × 84=
Correct Answer
E. 19656
Explanation
To find the product of two numbers, we multiply the digits in the ones place of both numbers, then the digits in the tens place, and so on. In this case, multiplying 4 (ones place of 234) by 4 (ones place of 84) gives us 16, which is written as the ones digit of the product. Then, multiplying 3 (tens place of 234) by 4 (ones place of 84) gives us 12, which is written as the tens digit of the product. Finally, multiplying 2 (hundreds place of 234) by 4 (ones place of 84) gives us 8, which is written as the hundreds digit of the product. Therefore, the correct answer is 19656.
18.
37 × 49=
Correct Answer
C. 1813
Explanation
The correct answer is 1813 because when you multiply 37 by 49, you get the product of 1813.
19.
65 ÷ 9=
Correct Answer
C. 7 R2
Explanation
The correct answer is 7 R2 because when you divide 65 by 9, you get a quotient of 7 and a remainder of 2. This means that 9 can go into 65 seven times with a remainder of 2.
20.
589 ÷ 14 =
Correct Answer
A. 42 R1
Explanation
The given division problem is 589 divided by 14. The quotient is 42 and the remainder is 1. This means that when 589 is divided by 14, it can be divided evenly 42 times with a remainder of 1.
21.
413 ÷ 8=
Correct Answer
A. 51 R5
Explanation
The given division problem is 413 ÷ 8. When we divide 413 by 8, we get a quotient of 51 and a remainder of 5. Therefore, the correct answer is 51 R5.
22.
3.7 + 2.2=
Correct Answer
A. 5.9
Explanation
The sum of 3.7 and 2.2 is 5.9.
23.
3/5 × 2/3=
Correct Answer
D. 2/5
Explanation
When multiplying fractions, we multiply the numerators together and the denominators together. In this case, multiplying 3/5 by 2/3 gives us (3*2)/(5*3) = 6/15. However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3. Simplifying 6/15 gives us 2/5. Therefore, the correct answer is 2/5.
24.
5/6 × 7=
Correct Answer
C. 5 5/6
Explanation
To find the product of 5/6 and 7, we multiply the numerators (5 and 7) and the denominators (6 and 1) separately. The result is 35/6. Since 35 is greater than 6, we can simplify the fraction by dividing 35 by 6, which gives us a quotient of 5 and a remainder of 5. Therefore, the final answer is 5 5/6.
25.
3/4 ÷ 1/2=
Correct Answer
C. 1 1/2
Explanation
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. In this case, we have (3/4) ÷ (1/2), which is the same as (3/4) * (2/1). Multiplying the numerators gives us 6, and multiplying the denominators gives us 4. So the result is 6/4, which simplifies to 3/2 or 1 1/2.
26.
2/7 ÷ 5=
Correct Answer
A. 2/35
Explanation
To divide a fraction by a whole number, we can multiply the fraction by the reciprocal of the whole number. In this case, we have 2/7 divided by 5. The reciprocal of 5 is 1/5. So, we can rewrite the expression as 2/7 multiplied by 1/5. Multiplying the numerators (2 x 1) gives us 2, and multiplying the denominators (7 x 5) gives us 35. Therefore, the answer is 2/35.
27.
26 - (-3)=
Correct Answer
B. 29
Explanation
When subtracting a negative number, it is equivalent to adding the positive of that number. In this case, subtracting -3 is the same as adding 3. Therefore, 26 - (-3) can be rewritten as 26 + 3, which equals 29.
28.
-76 ÷ -4=
Correct Answer
E. None of These
Explanation
The given expression is -76 divided by -4. When dividing two negative numbers, the result is always positive. Therefore, the correct answer is None of These.
29.
-80 ÷ -5=
Correct Answer
D. 16
Explanation
When dividing two negative numbers, the result is always positive. In this case, -80 divided by -5 equals 16. Therefore, the correct answer is 16.
30.
80% of 32=
Correct Answer
D. 25.6
Explanation
To find 80% of 32, we can multiply 32 by 0.80. This is because 80% is equivalent to 0.80 as a decimal. When we calculate 32 multiplied by 0.80, we get the result of 25.6. Therefore, the correct answer is 25.6.
31.
50% of_ = 45
Correct Answer
C. 90.0
Explanation
To find 50% of a number, we divide the number by 2. So, if 50% of a number equals 45, we can set up the equation: x/2 = 45. Solving for x, we multiply both sides of the equation by 2, giving us x = 90. Therefore, the correct answer is 90.0.
32.
60% of 43 =
Correct Answer
E. None of These
33.
40% of $8.50=
Correct Answer
B. $3.40
Explanation
To find 40% of $8.50, we can multiply 8.50 by 0.40. This calculation gives us $3.40, which is the correct answer.
34.
70% of ___ =91
Correct Answer
D. 130
Explanation
The correct answer is 130. To find 70% of a number, we multiply the number by 0.7. In this case, if 70% of a number equals 91, we can set up the equation 0.7x = 91, where x is the unknown number. Solving for x, we divide both sides of the equation by 0.7, giving us x = 130. Therefore, 130 is the number that represents 70% of the unknown number.
35.
Which of the following equation is an example of the associative property?
Correct Answer
C. 8+(2+3)=(8+2)+3
Explanation
The equation 8+(2+3)=(8+2)+3 is an example of the associative property because it shows that the grouping of the numbers does not affect the result of the addition. Both sides of the equation simplify to 13, demonstrating that the order in which the numbers are grouped does not change the sum.
36.
Which is another way to show 650?
Correct Answer
A. (6×100) + (5×10)
Explanation
The correct answer is (6×100) + (5×10) because it represents the value of 650. By multiplying 6 by 100 and 5 by 10, and then adding the products together, we get the total value of 650.
37.
Which of these is five hundred six thousand three hundred forty-two?
Correct Answer
B. 506,342
Explanation
The correct answer is 506,342 because it is the only option that matches the given number "five hundred six thousand three hundred forty-two". The other options either have extra zeros or a different arrangement of the digits.
38.
Which of the following numbers shows the factors of 6?
Correct Answer
A. 1,2,3,6
Explanation
The numbers 1, 2, 3, and 6 are the factors of 6 because they can all divide evenly into 6 without leaving a remainder.
39.
Which number has no remainder when divided by 4?
Correct Answer
D. 108
Explanation
The number 108 has no remainder when divided by 4 because it is evenly divisible by 4. This means that when 108 is divided by 4, the result is a whole number without any remainder.
40.
Which of the following equation is an example of the distributive property?
Correct Answer
C. 8×(2+3)=(8×2)+(8×3)
Explanation
The equation 8×(2+3)=(8×2)+(8×3) is an example of the distributive property because it shows the multiplication of a number (8) by the sum of two other numbers (2 and 3), which is then equal to the sum of the products of the number (8) multiplied by each of the two other numbers (2 and 3). This demonstrates the distributive property, which states that multiplication can be distributed over addition.
41.
Mr. Rodriguez has 12 students in his class. Ms. Jones has 11 students, Mr. Marks has 37. If you estimate by rounding to the nearest ten, what numbers should you use for the number of students?
Correct Answer
D. 10,10,40
Explanation
When rounding to the nearest ten, 12 rounds down to 10, 11 rounds down to 10, and 37 rounds up to 40. Therefore, the numbers to use for the number of students are 10, 10, and 40.
42.
Bob walks around a block. The block is 200 feet wide and 1,000 feet long. How many feet did he walk?
Correct Answer
B. 2,400
Explanation
Bob walks around a rectangular block, which has a width of 200 feet and a length of 1,000 feet. To calculate the total distance he walks, we need to find the perimeter of the block. The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, we have two sides with a length of 200 feet each and two sides with a length of 1,000 feet each. Adding these lengths together, we get 200 + 200 + 1,000 + 1,000 = 2,400. Therefore, Bob walked a total of 2,400 feet.
43.
What is 23,045 rounded to the nearest tens?
Correct Answer
C. 23,050
Explanation
23,045 rounded to the nearest tens would be 23,050. When rounding to the nearest tens, we look at the digit in the ones place. If it is 5 or greater, we round up by adding 10 to the number. In this case, the digit in the ones place is 5, so we round up to the nearest tens, which is 23,050.
44.
Which of these is the best estimation of the diameter of a bicycle wheel?
Correct Answer
B. 20 inches
Explanation
The diameter of a bicycle wheel is typically measured in inches. Out of the given options, 20 inches is the most reasonable estimation for the diameter of a bicycle wheel. The other options are either too small (2 inches) or too large (40 inches and 60 inches) to be a realistic estimation for a bicycle wheel's diameter.
45.
Juan has a pamphlet that is 3in. × 8in. He wants to put them in plastic bags. What is a good estimate of the size of bags?
Correct Answer
B. 8cm × 21cm
Explanation
Since the pamphlet is 3in. x 8in., we need to find a bag that can accommodate these dimensions. The closest option is 8cm x 21cm, which is a good estimate for the size of the bags.
46.
Jessica wants to paint her kitchen ceiling. The ceiling measures 8ft. by 9ft. minus a vent that is about 1 square foot. What is a good estimate of the paintable ceiling area?
Correct Answer
B. Greater than 70ft² , less that 72ft²
Explanation
The question states that the kitchen ceiling measures 8ft. by 9ft., but there is a vent that takes up about 1 square foot. Therefore, the paintable ceiling area would be slightly less than the total area of the ceiling. Since the vent is only about 1 square foot, the paintable ceiling area would be slightly less than 72ft². Therefore, the good estimate for the paintable ceiling area would be greater than 70ft² but less than 72ft².
47.
Mike runs about 3 miles roundtrip. He runs 4 times each week. What is the best estimate of how many miles he runs in a month?
Correct Answer
D. 48 miles
Explanation
Mike runs 3 miles roundtrip, 4 times each week. To find the best estimate of how many miles he runs in a month, we need to multiply the number of miles he runs each week by the number of weeks in a month. Since there are approximately 4 weeks in a month, we can calculate 3 miles x 4 times per week x 4 weeks per month = 48 miles. Therefore, the best estimate of how many miles Mike runs in a month is 48 miles.
48.
How much are the taxes according to the bill below?
Correct Answer
D. $2.00
Explanation
The answer is $2.00 because it is the only option that matches the question asking for the amount of taxes according to the bill. The other options are different amounts and do not match the question.
49.
About how much is the total cost of the following items: a shirt for $12, a tie for $9, and a pair of shoes for $29.
Correct Answer
A. $50
Explanation
The total cost of the shirt, tie, and pair of shoes can be calculated by adding their individual costs. $12 (shirt) + $9 (tie) + $29 (shoes) = $50. Therefore, the correct answer is $50.
50.
What number should go in the box?
Correct Answer
C. 22
Explanation
The numbers in the sequence are increasing by 2 each time. Therefore, the next number in the sequence should be 23. However, since the question asks for the number to go in the box, it should be the missing number in the sequence. Since the numbers are increasing by 2, the missing number should be 20. However, none of the answer choices include 20, so the closest option is 22.