Question 1

Multiply:  $\enspace270 	imes 30 $

Accepted Answer

$8,100$

Answer

$6,100$

Answer

$810$

Answer

$6,210$

Question 2

Multiply:  $\enspace260 	imes 72$

Accepted Answer

$18,720$

Answer

$2,340$

Answer

$14,620$

Answer

$23,400$

Question 3

Martha makes the statement shown below.

When multiplying two whole numbers that end in zeros, the product always has the exact same number of zeros at the end as the number of zeros from the end of the two numbers combined.

For example, the product of $80 	imes 400$ has exactly three zeros at the end since $80$ ends in one zero and $400$ ends in two zeros. Which expression proves Martha's statement is NOT correct?

Accepted Answer

$40 	imes 500 $

Answer

$10 	imes 100 $

Answer

$30 	imes 400 $

Answer

$20 	imes 200$

Question 4

A number has an $8$ in the hundredths place. The number also contains a digit whose value is $\frac{1}{10}$ the value of the $8$ in the hundredths place. Which could be the expanded form of the number?

Accepted Answer

$(2 	imes 100) + (7 	imes 10) + (2 	imes 1) + (8 	imes 0.01) + (8 	imes 0.001)$

Answer

$(3 	imes 100) + (8 	imes 10) + (2 	imes 1) + (2 	imes 0.1) + (8 	imes 0.01) + (7 	imes 0.001)$

Answer

$(1 	imes 100) + (8 	imes 0.1) + (8 	imes 0.01) + (2 	imes 0.001)$

Answer

$(8 	imes 100) + (8 	imes 10) + (1 	imes 0.1) + (7 	imes 0.01) + (9 	imes 0.001)$

Question 5

In the expression shown below, $a$ and $b$ represent different whole numbers.

$\quad 10^a 	imes 10^b$

How many zeros must be in the product of the expression?

Accepted Answer

$a + b$

Answer

$a 	imes b$

Answer

$100$

Answer

$2$

Question 6

Lucy's dog weighs nine and seventy-five hundredths kilograms. What is the weight, in kilograms, of Lucy's dog written in expanded notation?

Accepted Answer

$9 + 0.7 + 0.05 $

Answer

$9 + 0.07 + 0.005 $

Answer

$9 + 0.07 + 0.05$

Answer

$9 + 0.7 + 0.005 $

Question 7

Which inequality correctly compares six and fifty-nine hundredths to six and ninety-five thousandths?

Accepted Answer

$6.59 > 6.095$

Answer

$6.59 < 6.095$

Answer

$6.059 < 6.95$

Answer

$6.059 > 6.95$

Question 8

Tyler's bag of shells weighs 4.97 pounds. He finds 2 stones that weigh the same as each other and adds them to the bag. Tyler's bag now weighs 6.31 pounds. What is the weight of each stone to the nearest tenth of a pound?

Accepted Answer

0.7

Answer

2.6

Answer

1.3

Answer

0.6

Question 9

Four friends ate together at a restaurant. The cost for each meal, without a tip, is shown below.

The total cost of the 4 meals with the tip was 1.2 times the total cost of the meals without the tip. The friends equally shared the total cost of the meals with the tip. How much did each friend pay?

Accepted Answer

$15.30

Answer

$12.75

Answer

$13.05

Answer

$10.20

Question 10

A store has $108$ boxes of model cars. Each box contains $18$ cars. After all the cars are unpacked, they are arranged into $27$ rows with the same number of cars in each row. How many cars are in each row?

Accepted Answer

$72$

Answer

$162$

Answer

$153$

Answer

$972$

Question 11

Subtract: $\quad124.8 - 9.34$

Accepted Answer

$115.46$

Answer

$125.54$

Answer

$125.56$

Answer

$115.54$

Question 12

A decimal number is multiplied by $10^6$. Which statement describes the change in position of the decimal point in the decimal number as a result of the multiplication?

Accepted Answer

The decimal point moves 6 places to the right.

Answer

The decimal point moves 10 places to the right.

Answer

The decimal point moves 5 places to the left.

Answer

The decimal point moves 6 places to the left.

Question 13

A number written in expanded form is shown below.

$\quad\big(8 	imes 1,000\big) + \big(3 	imes 100\big) + \big(2 	imes 1\big) +\Big( 4 	imes  \frac{1}{10}\Big) + \Big(7 	imes \frac{1}{1,000}\Big)$

What is the number written in standard form?

Accepted Answer

$8,302.407$

Answer

$8,302.47$

Answer

$832.47$

Answer

$8,320.407$

Question 14

A scientist listed the volumes, in milliliters, of some liquids used in an experiment.

$\quad1.25\enspace 1.079 \enspace1.204\enspace 1.18$

Which inequality correctly compares the volumes, in milliliters, of two of these liquids?

Accepted Answer

$1.079 < 1.25$

Answer

$1.18 > 1.204$

Answer

$1.25 < 1.204$

Answer

$1.079 > 1.18$

Question 15

What is $27.462$ rounded to the nearest tenth?

Accepted Answer

$27.5$

Answer

$20$

Answer

$27.4$

Answer

$30$

Question 16

Juan is estimating the quotient of $9,648.18 \div 15.85$. He first rounds both $9,648.18$ and $15.85$ to the nearest whole number. What should be Juan's estimated quotient?

Accepted Answer

$603$

Answer

$630$

Answer

$63$

Answer

$6,030$

Question 17

Jerry has $56.92 \,	ext {centimeters} 	ext{(cm)}$ of wire. He uses $2$ pieces of the wire. Each piece he uses is $7.37\,	ext {cm}$ long. What is the length of the remaining wire, rounded to the nearest tenth of a centimeter?

Accepted Answer

$42.2\,	ext {cm}$

Answer

$71.7\,	ext {cm}$

Answer

$49.6\,	ext {cm}$

Answer

$7.7\,	ext {cm}$

Question 18

Multiply: $640 	imes390$

Accepted Answer

249,600

Answer

293,600

Answer

768,000

Answer

540,000

Question 19

Darren is told that the weight of an old coin is 37.2 grams. However, when he weighs the coin he finds that the digit in the hundredths place has a value that is $\frac{1}{10}$ of the value of the digit in the tenths place. Which expression, in expanded form, shows the weight, in grams, Darren finds?

Accepted Answer

30 + 7 + 0.2 + 0.02

Answer

30 + 7 + 0.2 + 0.10

Answer

30 + 7 + 0.2 + 0.01

Answer

30 + 2 + 0.2

Question 20

The table below shows four mineral samples and the mass of each sample.
Which number sentence correctly compares the masses, in grams, of two of the mineral samples?

Accepted Answer

3.05 < 3.061

Answer

3.012 > 3.061

Answer

3.012 > 3.07

Answer

3.05 < 3.012

Question 21

Jake measured the amount of salt in two liters of seawater. His results are listed below.
first liter: 33.165 grams
second liter: 35.787 grams
He rounds both values to the nearest hundredth and adds them. What is the sum of the rounded amounts of salt Jake found in the seawater?

Accepted Answer

68.96 grams

Answer

68.952 grams

Answer

68.957 grams

Answer

68.95 grams

Question 22

Students are weighing two types of rubber balls during science class.
$\bullet$ Each yellow rubber ball weighs 1.28 pounds.
$\bullet$ Each red rubber ball weighs 0.96 pound.
What is the total weight of 25 yellow rubber balls and 50 red rubber balls?

Accepted Answer

80 pounds

Answer

168 pounds

Answer

56 pounds

Answer

88 pounds

Question 23

A gardening shop receives a shipment of 12 crates of plants. Each crate contains 18 plants. A worker displays all the plants on 24 shelves with the same number of plants on each shelf. How many plants are displayed on each shelf?

Accepted Answer

9

Answer

36

Answer

6

Answer

16

Question 24

Jon rides his bike 0.23 mile. Angie rides her bike 100 times as far as Jon rides. How many miles does Angie ride her bike?

Accepted Answer

23

Answer

2,300

Answer

2.3

Answer

230

Question 25

Joe writes a number with a $3$ in the tenths place. Ellie also writes a number with a $3$ as a digit.
The value of the $3$ in Ellie's number is $10$ times the value of the $3$ in Joe's number. Which number could be the one Ellie wrote?

Accepted Answer

$423.67$

Answer

$426.73$

Answer

$324.67$

Answer

$426.37$

Question 26

An inequality is shown below.

$\qquad 4.205 < \enspace?$

Which number could be placed into the blank to make the inequality true?

Accepted Answer

four and twenty-four hundredths

Answer

four and two hundred four thousandths

Answer

four and two hundred five thousandths

Answer

four and twenty-seven thousandths

Question 27

A number is multiplied by $4$, then divided by $2$, and finally multiplied by $0.5$. How does the result compare to the original number?

Accepted Answer

The result is the same as the original number.

Answer

The result is one-fourth the value of the original number.

Answer

The result cannot be compared to the original number without knowing the
original number.

Answer

The result is four times the value of the original number.

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