PARCC Basic Operations Practice Questions

Question 1

1. Edward ascends to the top of a mountain over the course of two days. On Friday, he ascends 482 feet. He ascends another 362 feet on Saturday. How many feet did he ascend in all?

Accepted Answer

844 feet

Answer

To find the total feet Edward ascended, simply add the distance he ascended on Friday to the distance he ascended on Saturday. So, 482 feet + 362 feet = 844 feet.

Question 2

2. Kristen must buy three items that are priced at $4.58, $6.22, and $8.94. What is the best estimate for the total cost of all three items?

Accepted Answer

$20

Answer

To find the best estimate, round each price to the nearest whole dollar: $4.58 rounds to $5, $6.22 rounds to $6, and $8.94 rounds to $9. Adding these rounded values gives $5 + $6 + $9 = $20. This provides the closest and most reasonable estimate for the total cost.

Question 3

3. A teacher donates to a local charity. Each year, she donates three times the amount donated the previous year. If the teacher donated $2 the first year, how much did she donate during the fifth year?

Accepted Answer

$162

Answer

This is a geometric sequence where each year's donation is three times the previous year's. Starting with $2 in the first year: Year 1 = $2, Year 2 = $2 * 3 = $6, Year 3 = $6 * 3 = $18, Year 4 = $18 * 3 = $54. For the fifth year, she donated $54 * 3 = $162.

Question 4

4. Penny drinks 8 glasses of water each day. The number of glasses of water she drinks over a 12-day time span can be determined, using the number sentence: Which number sentence would not show the number of glasses of water she drinks?

Accepted Answer

12 - 8 = ?

Answer

To find the total number of glasses Penny drinks over 12 days, you would multiply the number of glasses per day by the number of days (8 * 12). Options A, B, and C are all equivalent ways to represent this multiplication or its inverse. However, 12 - 8 = ? represents subtraction, which does not calculate the total number of glasses drunk over a period of time.

Question 5

5. Belinda draws a rectangle with a length of 6 cm. She draws a second rectangle with a length of 11 cm. Belinda continues drawing more rectangles, where for each rectangle drawn, she uses a length that is 5 more centimeters than the length of the previous rectangle. If this pattern continues, what will be the length of the 11th rectangle?

Accepted Answer

56 cm

Answer

This is an arithmetic sequence where the first term (a1) is 6 cm and the common difference (d) is 5 cm (11 - 6 = 5). To find the length of the 11th rectangle (n=11), use the formula an = a1 + (n-1)d. Plugging in the values: a11 = 6 + (11-1)*5 = 6 + 10*5 = 6 + 50 = 56 cm.

PARCC Practice Test

PARCC Practice Test

PARCC Basic Operations Practice Questions