FAST - Florida State Assessment Readiness Mathematical: Number Sense Questions and Answers — Questions and Answers
Question 1: The population of a city is 6,481,592. A news report rounds this number to the nearest hundred thousand. Which number was reported?
- 6,000,000
- 6,400,000
- 6,500,000 (Correct answer)
- 6,480,000
Correct answer: 6,500,000
To round to the nearest hundred thousand, look at the digit in the ten thousands place (8). Since 8 is 5 or greater, you round up the digit in the hundred thousands place (4) to 5. All digits to the right become zeros. Therefore, 6,481,592 rounds to 6,500,000.
Question 2: A scientist is comparing the lengths of four different insects. The lengths are 0.521 cm, 0.509 cm, 0.61 cm, and 0.512 cm. Which of the following lists the lengths in order from greatest to least?
- 0.509 cm, 0.512 cm, 0.521 cm, 0.61 cm
- 0.61 cm, 0.521 cm, 0.512 cm, 0.509 cm (Correct answer)
- 0.61 cm, 0.509 cm, 0.512 cm, 0.521 cm
- 0.521 cm, 0.512 cm, 0.509 cm, 0.61 cm
Correct answer: 0.61 cm, 0.521 cm, 0.512 cm, 0.509 cm
To compare decimals, start from the leftmost digit. The decimal with the largest digit in the tenths place is 0.61. For the remaining numbers, the tenths place is the same (5). Next, compare the hundredths place: 2 is the largest (0.521), then 1 (0.512), then 0 (0.509). So the correct order is 0.61, 0.521, 0.512, 0.509.
Question 3: Which of the following numbers is a prime number?
- 51
- 91
- 2 (Correct answer)
- 27
Correct answer: 2
A prime number is a whole number greater than 1 that has only two factors: 1 and itself. The number 2 only has factors of 1 and 2. 51 is divisible by 3 (5+1=6), 91 is divisible by 7 (7 x 13), and 27 is divisible by 3 and 9.
Question 4: A baker has 3/4 of a pan of brownies. She sells 1/2 of what she has. What fraction of the original whole pan of brownies did she sell?
- 3/8 (Correct answer)
- 1/4
- 2/6
- 1/2
Correct answer: 3/8
To find the fraction of the original pan sold, you need to find 1/2 of 3/4. In mathematics, 'of' means to multiply. So, (1/2) * (3/4) = (1*3) / (2*4) = 3/8. The baker sold 3/8 of the original pan.
Question 5: In the number 77,245, how does the value of the 7 in the ten thousands place compare to the value of the 7 in the thousands place?
- It is 100 times greater.
- It is 7 times greater.
- It is 10 times greater. (Correct answer)
- It is 1/10 as great.
Correct answer: It is 10 times greater.
The first 7 is in the ten thousands place, so its value is 70,000. The second 7 is in the thousands place, so its value is 7,000. To compare them, you can divide 70,000 by 7,000, which equals 10. Each place value to the left is 10 times greater than the place value to its right.
Question 6: Marco is buying school supplies. He buys a pack of pens for $3.95, a binder for $5.79, and a pack of paper for $2.50. If he pays with a $20 bill, how much change should he receive?
- 7.76
- $12.24
- $6.76
- $7.76 (Correct answer)
Correct answer: $7.76
First, add the cost of all the items: $3.95 + $5.79 + $2.50 = $12.24. Next, subtract the total cost from the amount paid: $20.00 - $12.24 = $7.76. Marco should receive $7.76 in change.
The population of a city is 6,481,592.
A news report rounds this number to the nearest hundred thousand.
Which number was reported?