5th ACAP 22 Penn

Multiply: 372 × 108

• 6,696

• 39,666

• 40,176

• 282,816

Four number sentences are shown below, some of which are not true. 436.04 = 444.03 236.76 = 235.84 505.64 > 505.55 325.64 > 325.54 Each number is rounded to the nearest tenth. The comparison symbol in each number sentence remains the same. Which number sentence is rounded correctly and is true?

• The number sentence 436.04 = 444.03 becomes 440 = 440.

• The number sentence 236.76 = 235.84 becomes 236.8 = 235.8.

• The number sentence 505.64 > 505.55 becomes 505.6 > 505.5.

• The number sentence 325.64 > 325.54 becomes 325.6 > 325.5.

Serena has one large and one small beehive. Information about the hives and the bees living in each hive is listed below. • There are 1,050 bees living in the large hive. • The number of bees living in the small hive is 0.7 times the number of bees living in the large hive. • The bees living in the small hive visit 2,500 flowers each day. • The bees living in the large hive visit 0.8 times the number of flowers visited each day by the bees living in the small hive. Which statement about the bees is true?

• There are 8,400 bees living in the two hives.

• There are 1,057 bees living in the small hive.

• The bees living in the two hives visit 2,508 flowers each day.

• The bees living in the large hive visit 2,000 flowers each day.

Which story matches the expression (18 – 3 × 4) ÷ 2?

• Ed had $18. He bought a pen for $3 and 4 pencils for $2 each.

• Ed had $18. He bought 3 pens for $4 each and gave $2 to his sister.

• Ed had $18. He gave half the money away and then bought 3 pens for $4 each.

• Ed had $18. He bought 3 pens for $4 each and then shared the rest of the money equally with his sister.

When finding the value of the expression 81 – (24 ÷ 3 × 2) + 18, which operation should be completed first?

• 81 – 24

• 24 ÷ 3

• 3 × 2

• 2 + 18

The first five values in a number pattern are represented by the expressions below. 4 × 1 4 × 2 4 × 3 4 × 4 4 × 5 The pattern continues. How many values in the pattern are less than 100?

• 19

• 24

• 25

• 99

Julian has 4 videos. Each video is the same length. The total time for all of the videos is 300 seconds. How many minutes long is each video?

• 0.8 minute

• 1.25 minutes

• 20 minutes

• 75 minutes

A runner drinks 1/2 pint of water during a race. How many gallons of water does the runner drink during the race?

• 1/16 gallon

• 1/10 gallon

• 1/8 gallon

• 1/4 gallon

A set of stairs is being made from concrete. A picture of the stairs is shown below. What is the volume, in cubic feet, of the set of stairs?

• 21

• 65

• 80

• 120