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Math Skills Readiness Test for the Summer Academic Enrichment Program (SAEP)
Questions and Answers
1.
Find the sum
389 + 871 =
Explanation The sum of 389 and 871 is calculated by adding the corresponding digits in each place value. Starting from the rightmost digit, 9 plus 1 equals 10, which is written as 0 in the ones place and carry over the 1 to the tens place. In the tens place, 8 plus 7 plus the carried over 1 equals 16, which is written as 6 in the tens place and carry over the 1 to the hundreds place. Finally, in the hundreds place, 3 plus 1 equals 4. Therefore, the sum of 389 and 871 is 1260.
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2.
Find the difference702 - 568 =
Explanation The correct answer is obtained by subtracting 568 from 702. When we subtract the units place, 2-8, we get -6. Since we cannot have a negative value in the units place, we borrow 1 from the tens place. In the tens place, 0-6 becomes -6 but with the borrowed 1, it becomes -5. Finally, in the hundreds place, 7-5 is 2. Therefore, the difference between 702 and 568 is 134.
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3.
Find the product.905 X 782 =
Explanation The correct answer is 707,710,707710.
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4.
Find the quotient.300 divided by 25 =
Explanation The quotient is the result of dividing one number by another. In this case, the number 300 is divided by 25, resulting in a quotient of 12.
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5.
Write quotient with a remainder.
3084 divided by 9 =
Explanation The correct answer is 342 R6. This means that when 3084 is divided by 9, the quotient is 342 and the remainder is 6.
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6.
Perform the conversion
7000 milliliters to liters
Explanation The correct answer is 7 liters. This is because there are 1000 milliliters in 1 liter, so to convert milliliters to liters, you divide the number of milliliters by 1000. In this case, 7000 milliliters divided by 1000 equals 7 liters.
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7.
Find the perimeter of a rectangle with
width 48 ft, length 22ft
Explanation The perimeter of a rectangle is calculated by adding up the lengths of all its sides. In this case, the width is given as 48 ft and the length is given as 22 ft. To find the perimeter, we add up the four sides of the rectangle: 48 ft + 22 ft + 48 ft + 22 ft = 140 ft. Therefore, the correct answer is 140 ft.
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8.
Find the the area of a rectangle with
width 48 ft, length 22ft
Explanation The area of a rectangle is calculated by multiplying its length by its width. In this case, the width is given as 48 ft and the length is given as 22 ft. Therefore, the area of the rectangle can be found by multiplying 48 ft by 22 ft, which equals 1056 square feet.
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9.
Find the least common multiple and greatest common factor of 4, 6, and 8
Explanation The least common multiple (LCM) of 4, 6, and 8 is 24 because it is the smallest number that is divisible by all three numbers. The greatest common factor (GCF) of 4, 6, and 8 is 2 because it is the largest number that divides evenly into all three numbers.
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10.
578 â€“ 234 = ?Round to the nearest 10 to estimate the answer.
Explanation To round 578 to the nearest 10, we look at the digit in the tens place, which is 7. Since 7 is greater than or equal to 5, we round up to the next multiple of 10, which is 580. To round 234 to the nearest 10, we look at the digit in the tens place, which is 3. Since 3 is less than 5, we round down to the previous multiple of 10, which is 230. Subtracting 230 from 580 gives us 350. Therefore, the estimated answer to 578 - 234 rounded to the nearest 10 is 350.
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11.
Rewrite 5^{3}
Explanation The given correct answer is a list of different ways to represent the multiplication problem 5 x 5 x 5. It includes the expression (5)(5)(5), which is another way to write the multiplication problem using parentheses. It also includes the expression 5 x 5 x 5, which represents the multiplication problem using the "x" symbol. Additionally, it includes the numerical answer 125, which is the result of the multiplication problem. Finally, it includes the expression 5 times 5 times 5, which is a verbal representation of the multiplication problem.
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12.
Write the prime factorization of 36
Explanation The prime factorization of 36 is 2 x 2 x 3 x 3. This means that 36 can be expressed as the product of prime numbers 2 and 3, each raised to the power of 2.
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13.
Find the sum
5.2 +.34 = ?
Explanation The given question asks to find the sum of 5.2 and 0.34. Adding these two numbers together gives a total of 5.54.
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14.
Find the difference
4.55 - .2 = ?
Explanation The correct answer is 4.35 because when we subtract 0.2 from 4.55, we get 4.35.
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15.
Find the product
.985 X .02 = ?
Explanation The product of .985 and .02 is 0.0197.
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16.
20 X 320 = ?
Explanation The question is asking for the product of 20 and 320. When you multiply 20 by 320, you get the answer of 6400.
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