Mathletes Quiz 2-Number Sense GRP 1

The expression 74.6 x 1.25 is equivalent to what number?

• 93.25

• 92.5

• 94.5

• 95.25

Answer explanation

To find 74.6 x 1.25, multiply the two numbers: 74.6 x 1.25 = 93.25. Therefore, the correct answer is 93.25.

What is the solution to the fraction expression that is modeled below?

• 3/12

• 10/24

• 1 1/3

• 2 1/4

Answer explanation

To solve the fraction expression, convert it to an improper fraction. The correct answer, 2 1/4, equals 9/4, which is the simplest form of the expression. Other options do not match this value.

• 6/198

• 3/99

• 1/33

• 2/33

Answer explanation

To find the value of \(\frac{3}{22} \times \frac{2}{9}\), multiply the numerators (3 and 2) to get 6, and the denominators (22 and 9) to get 198. Thus, \(\frac{6}{198} = \frac{1}{33}\), which is the correct answer.

• 28/30

• 14/15

• 24/35

• 30/35

Answer explanation

To simplify \( \frac{4}{5} \div \frac{6}{7} \), multiply by the reciprocal: \( \frac{4}{5} \times \frac{7}{6} = \frac{28}{30} \). Simplifying \( \frac{28}{30} \) gives \( \frac{14}{15} \), which is the correct answer.

Chandler bought 2 pounds of grapes for $3.99 per pound, 3.5 pounds of apples for $1.75 per pound, and 1.5 pounds of cherries for $4.90 per pound. How much did Chandler spend altogether? Round your answer to the nearest penny, if necessary.

• $10.64

• $12.32

• $21.23

• $21.46

Answer explanation

Chandler spent $3.99 x 2 = $7.98 on grapes, $1.75 x 3.5 = $6.12 on apples, and $4.90 x 1.5 = $7.35 on cherries. Adding these amounts gives $7.98 + $6.12 + $7.35 = $21.46, which is the total spent.

Jackson’s family went on a ski trip to Vail, Colorado. When they arrived, there was 1 1/4 feet of snow on the ground. If the snow increased by 3/8 feet each day they were there, how much snow would be on the ground after their week-long trip?

• 2 1/2 feet

• 3 7/8 feet

• 4 feet

• 5 1/4 feet

Answer explanation

The initial snow is 1 1/4 feet. Over 7 days, the snow increases by 3/8 feet daily, totaling 7 * 3/8 = 21/8 feet. Adding this to the initial amount: 1 1/4 + 21/8 = 3 7/8 feet.

Marisa’s car holds 15.375 gallons of gas. If she has 4.5 gallons in her tank when she goes to fill it up, how much money will she spend if the current price of gas is $4.87 per gallon? Round your answer to the nearest penny, if necessary.

• $52.96

• $48.75

• $50.00

• $55.25

Answer explanation

Marisa needs to fill up to 15.375 gallons. She has 4.5 gallons, so she needs 15.375 - 4.5 = 10.875 gallons. At $4.87 per gallon, she will spend 10.875 * 4.87 = $52.96, which is the correct answer.

Bethany biked for 20/25 of an hour yesterday. Today, she biked for 3/4 of the time she biked yesterday. How many more minutes did she bike yesterday compared to today?

• 10 minutes

• 12 minutes

• 15 minutes

• 18 minutes

Answer explanation

Bethany biked for 20/25 of an hour yesterday, which is 48 minutes. Today, she biked for 3/4 of that time, or 36 minutes. The difference is 48 - 36 = 12 minutes, so she biked 12 minutes more yesterday.

• 40

Answer explanation

To simplify \(\frac{160}{200}\), find the greatest common factor (GCF) of 160 and 200, which is 40. Dividing both the numerator and denominator by 40 gives \(\frac{4}{5}\), the correct answer.

What is the least common multiple of 8 and 12?

• 16

• 20

• 24

• 32

Answer explanation

The least common multiple (LCM) of 8 and 12 is 24. It is the smallest number that both 8 and 12 can divide into without leaving a remainder. Thus, the correct answer is 24.