## SAT MAth Practice questions – all topics

**Problem-solving and Data Analysis**Weightage: 15% Questions: 5-7- Ratios, rates, proportional relationships, and units
- Percentages
- One-variable data: distributions and measures of centre and spread
- Two-variable data: models and scatterplots
- Probability and conditional probability
- Inference from sample statistics and margin of error
- Evaluating statistical claims: observational studies and Experiments

## SAT MAth and English – full syllabus practice tests

**[Calc]**** ****Question**** Easy**

There are 435 voting members of the US House of Representatives. If \(b\) voting members are in favor of a certain bill, which expression represents the percentage of the voting members in favor of the bill?

A. \(100\left(\frac{b}{435}\right)\)

B. \(100\left(\frac{435}{b}\right)\)

C. \(435\left(\frac{b}{100}\right)\)

D. \(435(100 b)\)

**▶️Answer/Explanation**

Ans:A

To represent the percentage of the voting members in favor of the bill, we need to calculate the ratio of the number of members in favor (\(b\)) to the total number of members (435), and then multiply by \(100\) to convert it to a percentage.

So, the expression representing the percentage of members in favor of the bill is:

\[100\left(\frac{b}{435}\right)\]

Therefore, the correct answer is option A: \(100\left(\frac{b}{435}\right)\).

**[Calc]**** ****Question** ** Easy**

A forestry department measures tree trunk diameter, in inches, at a constant height from the ground for each tree growing in a certain area. The data for 95 of these trees are summarized in the histogram. The first bar represents trees with a trunk diameter less than 6 inches. The second bar represents trees with a trunk diameter of at least 6 inches but less than 12 inches, and so on.

Approximately what percentage of these trees have a trunk diameter less than 6 inches?

A. 2.6%

B. 5.3%

C. 10.5%

D. 15.8%

**▶️Answer/Explanation**

Ans: B

To determine the percentage of trees with a trunk diameter less than 6 inches, we first need to identify the number of trees in this category from the histogram.

From the histogram:

- The first bar represents trees with trunk diameters less than 6 inches.
- The height of the first bar is 5, indicating there are 5 trees in this category.

There are a total of 95 trees.

To find the percentage of trees with trunk diameters less than 6 inches:

\[

\frac{5}{95} \times 100=\frac{1}{19} \times 100 \approx 5.26 \%

\]

Thus, the percentage of these trees with a trunk diameter less than 6 inches is approximately:

B. \(5.3 \%\)

**[Calc]**** ****Question*** *** Easy**

What is 90% of 80 ?

A. 10

B. 72

C. 88

D. 152

**▶️Answer/Explanation**

Ans: B

To find \(90\%\) of \(80\), we multiply \(80\) by \(0.90\) since \(90\%\) is equivalent to \(0.90\):

\[90\% \text{ of } 80 = 0.90 \times 80 = 72\]

So, \(90\%\) of \(80\) is \(72\).

Therefore, the correct answer is option B) \(72\).

**[Calc]**** ****Question**** **Easy

4, 5, 5, 6, 7, 8, 8, 9, 9, 9, 10

Eleven employees at a company were selected at random to participate in a survey. The survey included a question that asked the participants to rate their work satisfaction on a scale from 1 to 10. The list shows the eleven ratings of the participants.

Which of the following is closest to the percentage of participants who gave a rating of 5 ?

A) 9%

B) 18%

C) 27%

D) 45%

**▶️Answer/Explanation**

**B) 18%**

We need to find the percentage of participants who gave a rating of 5.

Given ratings:

\[4, 5, 5, 6, 7, 8, 8, 9, 9, 9, 10\]

Count the number of 5s:

There are \(2\) ratings of \(5\) out of \(11\) total ratings.

Calculate the percentage:

\[ \text{Percentage} = \left(\frac{2}{11}\right) \times 100 \approx 18.18\%\]

So, the closest percentage is:

\[ \boxed{18\%} \]

**[Calc]**** ****Question ****Easy**

If m% of 300 is 150, what ism% of 180?

A) 45

B) 90

C) 120

D) 360

**▶️Answer/Explanation**

B) 90

If \( m \% \) of 300 is 150, we need to determine \( m \% \) of 180.

1. Find \( m \% \) from the given information:

\[

\frac{m}{100} \times 300 = 150

\]

\[

m \times 3 = 150

\]

\[

m = 50

\]

2. Calculate \( m \% \) of 180:

\[

\frac{50}{100} \times 180 = 0.5 \times 180 = 90

\]

Thus, \( m \% \) of 180 is:\[ \boxed{90} \]

**[Calc]**** ****Question**** Easy**

Of the 50 states in the United States, 12 states are in the Midwest region. What percent of states in the United States are in the Midwest region?

A) $12 \%$

B) $24 \%$

C) $38 \%$

D) $62 \%$

**▶️Answer/Explanation**

C

**[Calc]**** ****Question**** Easy**

Based on the 2010 US census, the population of Milwaukee, Wisconsin, was about $96 \%$ of the population of Baltimore, Maryland. In 2010, if Milwaukee’s population was about 595,000 , which of the following is the best approximation of Baltimore’s population?

A) 620,000

B) 570,000

C) 300,000

D) 95,000

**▶️Answer/Explanation**

A

**[Calc]**** ****Question**** Easy**

What is $120 \%$ of 2,000 ?

A) 240

B) 400

C) 2,400

D) 4,000

**▶️Answer/Explanation**

C

**[Calc]**** ****Question** ** Foundation**

What percentage of 40 is 15 ?

A) \(62.5 \%\)

B) \(37.5 \%\)

C) \(32.5 \%\)

D) \(2.70 \%\)

**▶️Answer/Explanation**

Ans:B

\[

\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100

\]

\[

\text{Percentage} = \left(\frac{15}{40}\right) \times 100

\]

\[

\frac{15}{40} = 0.375

\]

Multiply by 100 to get the percentage:

\[

0.375 \times 100 = 37.5\%

\]

*Questions *

Raymond’s weekly income consists of a base salary for a 40-hour workweek plus overtime pay. The overtime pay is paid at an hourly rate for the time that Raymond works in addition to his 40 -hour workweek. Raymond’s weekly income, in dollars, can be represented by the expression $800+30 x$, where $x$ is the total number of hours Raymond works over 40 hours. Which of the following is the best interpretation of the number 800 in this context?

A. Raymond’s base weekly salary, in dollars

B. Raymond’s total overtime pay for the workweek, in dollars

C. The total number of hours in a year that Raymond works in addition to his normal 40-hour workweeks

D. Raymond’s hourly wage, in dollars per hour, for time worked in addition to his normal 40-hour workweek

**▶️Answer/Explanation**

Ans: A

*Question*

What number is $20 \%$ greater than 60 ?

A. 50

B. 72

C. 75

D. 132

**▶️Answer/Explanation**

Ans: B

*Questions *

On November 1st, there were 2,500 boxes in a warehouse. On December 1st, there were $15 \%$ fewer boxes in the warehouse than there were on November 1st. On January 1st, there were $20 \%$ more boxes in the warehouse than there were on December 1st. How many boxes were in the warehouse on January 1st?

A. 1,700

B. 2,125

C. 2,550

D. 2,625

**▶️Answer/Explanation**

Ans: C

*Question*

Kate bought a bus pass that had an initial value of $\$ 90$. For every bus ride Kate takes, $\$ 1.80$, the cost of one bus ride, is subtracted from the value of the pass. What percentage of the initial value of Kate’s bus pass is the cost of one bus ride?

A. $1.8 \%$

B. $2 \%$

C. $5 \%$

D. $98 \%$

**▶️Answer/Explanation**

Ans: B

* *

*Question*

Last year, 800 students attended the career fair at West High School. This year, the number of students who attended the career fair increased by $5 \%$. How many students attended the career fair at West High School this year?

A. 804

B. 805

C. 840

D. 1,200

**▶️Answer/Explanation**

Ans: C