Math Benchmark 1 Review

The list shows the lengths of twelve strings in inches. 26, 30, 19, 21, 24, 26, 18, 31, 27, 21, 17, 29 Which plot represents the data in the list?

• F.

• G.

• H.

• J.

Answer explanation

The correct plot J accurately represents the distribution of string lengths from the list, showing the frequency of each length. The other options do not match the data provided.

The table shows the total numbers of runs different baseball teams scored in one season. Which stem and leaf plot displays these data?

• A. Stem: 6 Leaf: 1; 9 Leaf: 2; 10 Leaf: 0; 6 Leaf: 5; 7 Leaf: 2; 6 Leaf: 4; 8 Leaf: 4

• B. Stem: 6 Leaf: 1, 4, 5; 7 Leaf: 2; 8 Leaf: 4; 9 Leaf: 2; 10 Leaf: 0

• C. Stem: 6 Leaf: 1, 4, 5; 7 Leaf: 2; 8 Leaf: 4; 9 Leaf: 2

• D. Stem: 6 Leaf: 1; 6 Leaf: 5; 6 Leaf: 4; 7 Leaf: 2; 8 Leaf: 4; 9 Leaf: 2; 10 Leaf: 0

Answer explanation

Choice B correctly represents the data with stems indicating the tens place and leaves showing the units. It includes all the runs: 61, 64, 65, 72, 84, 92, and 100, matching the total runs scored by the teams.

The stem and leaf plot shows the scores given to the dogs at a dog show. Possible scores were between 0.1 and 5.0. What is the difference between the highest score and the lowest score shown in the stem and leaf plot?

• 4.3

• 3.7

• 0.25

• 0.47

Answer explanation

The highest score from the plot is 5.0 and the lowest is 1.3. The difference is 5.0 - 1.3 = 3.7, which matches the correct answer choice.

The stem and leaf plot shows the number of tickets Stephen won when he played games at a carnival. What is the total number of tickets that Stephen won at the carnival?

• 783

• 178

• 81

• 678

Answer explanation

To find the total number of tickets Stephen won, add the values from the stem and leaf plot. The total comes to 783, which is the correct answer.

A stadium sold 33,300 tickets to a concert. Which statement about this number is true?

• The value of the digit in the tens place is 10 times the value of the digit in the hundreds place.

• The value of the digit in the thousands place is 1/10 the value of the digit in the ten thousands place.

• The value of the digit in the hundreds place is 10 times the value of the digit in the thousands place.

• The value of the digit in the ten thousands place is 1/10 the value of the digit in the hundreds place.

Answer explanation

In 33,300, the digit in the ten thousands place is 3 and in the thousands place is 3. The value of the thousands place (3,000) is indeed 1/10 of the ten thousands place (30,000), making this statement true.

A store sold 2,222 items in one day. Which statements about this number are true? Select TWO correct answers.

• The value of the digit in the tens place is 1/10 the value of the digit in the hundreds place.

• The value of the digit in the hundreds place is 10 times the value of the digit in the thousands place.

• The value of the digit in the thousands place is 10 times the value of the digit in the hundreds place.

• The value of the digit in the hundreds place is 1/10 the value of the digit in the tens place.

• The value of the digit in the ones place is 10 times the value of the digit in the tens place.

Answer explanation

In 2,222, the tens place (2) is 1/10 of the hundreds place (2), making the first statement true. The thousands place (2) is 10 times the hundreds place (2), confirming the second statement as true.

The list shows three clues about a number:

- The digit 8 has a value of (8 x 0.01).

- The digit 5 has a value of (5 x 10).

- The digit 3 has a value of (3 x 1,000).

Which number fits these three clues?

• 3,652.8

• 3,862.05

• 3,652.48

• 341,652.48

Answer explanation

The clues indicate the values of the digits: 8 (0.08), 5 (50), and 3 (3000). Adding these gives 3000 + 50 + 0.08 = 3050.08. The only number that fits this is 3,652.48, which has the correct digit placements.

In which of these does the digit 2 have a value 2 × 0.1?

Select TWO correct answers.

• One and two hundredths

• Forty-one and two tenths

• 2.1

• 2.0

• 10.26

Answer explanation

In 'Forty-one and two tenths' (41.2) and '10.26', the digit 2 represents 2 tenths (0.2), which is equal to 2 × 0.1. The other options do not have the digit 2 in the tenths place.

The table below shows the length of the railway network in each of five countries. Which list shows these countries in order from shortest to longest railway network?

• South Africa, Italy, Japan, France, Brazil

• France, Brazil, Japan, Italy, South Africa

• South Africa, Italy, Japan, Brazil, France

• France, South Africa, Italy, Japan, Brazil

Answer explanation

The correct order from shortest to longest railway network is France, Brazil, Japan, Italy, and South Africa. This matches the second answer choice, which accurately reflects the lengths of the railway networks in these countries.

The weights of four hippos at a zoo are listed. - Hippo W: 3,894 lb - Hippo X: 3,648 lb - Hippo Y: 3,699 lb - Hippo Z: 3,806 lb If the hippos are listed in order from least weight to greatest weight, which hippo would come third in the list?

• Hippo W, because 3,806 < 3,648 < 3,894 < 3,699

• Hippo X, because 3,806 < 3,894 < 3,648 < 3,699

• Hippo Y, because 3,894 < 3,648 < 3,699 < 3,806

• Hippo Z, because 3,648 < 3,699 < 3,806 < 3,894

Answer explanation

The correct order from least to greatest weight is: 3,648 (Hippo X), 3,699 (Hippo Y), 3,806 (Hippo Z), and 3,894 (Hippo W). Therefore, Hippo Z comes third in the list.