Basic Operations Practice Questions

  1. Ryland 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?
  1. 848 feet
  2. 836 feet
  3. 840 feet
  4. 844 feet
Show Answer
The correct answer is D!

The total number of feet he ascended can be determined by adding 482 feet and 362 feet. The sum of 482 and 362 is 844. Thus, he ascended 844 feet in total.

 

  1. 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?
  1. $18
  2. $16
  3. $20
  4. $22
Show Answer
The correct answer is C!

The item priced at $4.58 can be rounded to $5. The item priced at $6.22 can be rounded to $6. The item priced at $8.94 can be rounded to $9. The sum of 5, 6, and 9 is 20. Thus, the best estimate is $20.

 

  1. 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?
  1. $158
  2. $164
  3. $162
  4. $144
Show Answer
The correct answer is C!

In order to find the amount donated the following year, you multiply the amount donated the previous year by 3. Thus, the amount donated the second year was $6. The amount donated the third year was $18. The amount donated the fourth year was $54. The amount donated the fifth year was $162.

 

  1. Paige has a ribbon that is 90 cm long. She cuts it into 10 equal pieces. Which equation would you use to find the length of each piece?
  1. \(90 \div 10 =\) ?
  2. \(10 \div 90 =\) ?
  3. \(10 \times 90 =\) ?
  4. \(90 + 10 =\) ?
Show Answer
The correct answer is A!

To find the length of each piece, you need to pick the operation that “shares out” a total into equal parts. That calls for division. The equation \(90 \div 10 = 9\) tells us that each piece is 9 cm long. The equation \(10 ÷ 90 = ?\) asks how many times 90 cm goes into 10 cm, which is the wrong direction.

 

  1. 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?
  1. 46 cm
  2. 54 cm
  3. 56 cm
  4. 61 cm
Show Answer
The correct answer is C!

If each rectangle has a length that is 5 cm more than that of the previous rectangle, the lengths of the 3rd rectangle through the 11th rectangle can be found by adding 5 cm to the length of the second triangle and continuing for each next rectangle. So, the lengths of the rectangles will be as follows:

16 cm, 21 cm, 26 cm, 31 cm, 36 cm, 41 cm, 46 cm, 51 cm, 56 cm

 

  1. Jasper collects 1,082 cans of food. He gives a certain number of cans to the first local charity he finds. He now has 602 cans of food. How many cans of food did he give to the first local charity?
  1. 430
  2. 480
  3. 682
  4. 1,684
Show Answer
The correct answer is B!

In order to find the number of cans of food he gave to the first charity, the number of cans of food he has left needs to be subtracted from the number of cans he collected:

\(1,082-602=480\)

 

  1. Amanda creates the base of a picture frame, using 4.55 inches of red fabric and 6.25 inches of blue fabric. How many inches of fabric are used to create the base of the frame?
  1. 10.80 inches
  2. 10.85 inches
  3. 10.75 inches
  4. 10.90 inches
Show Answer
The correct answer is A!

The sum of the two decimals is 10.80. The decimals are added just like whole numbers are, while aligning the decimal point.

 

  1. Hannah ran 12 laps every day for eight days. How many laps did she run in all?
  1. 108
  2. 96
  3. 84
  4. 72
Show Answer
The correct answer is B!

Hannah ran \(12 \times 8\) laps in all, which totals to 96 laps.

 

  1. Three friends sold cupcakes for a fundraiser. Eli sold 84 cupcakes, John sold 46 cupcakes, and Kim sold 72 cupcakes. Which of the following is the best estimate for the number of cupcakes the three friends sold in all?
  1. 180
  2. 200
  3. 210
  4. 190
Show Answer
The correct answer is B!

The number of cupcakes sold can be rounded as follows:

\(80 + 50 + 70 = 200\)

Therefore, the best estimate for the number of cupcakes sold is 200 cupcakes.

 

  1. Carlisle charges $21.95 per hair cut and has completed 30 haircuts this week. Which of the following is the best approximation for the total charges for all haircuts?
  1. $450
  2. $600
  3. $750
  4. $800
Show Answer
The correct answer is B!

The amount of money Carlisle charges per hair cut can be rounded to $20. Thus, his total charges are approximately $600.