## 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**** ****Medium**

The Sun converts 589 million metric tons of hydrogen into helium each second. Which of the

following is closest to the number of slugs of hydrogen, in millions, that are converted by the Sun each second? (1 metric ton = 68.52 slugs)

A) 8.60

B) 9.82

C) 35,300

D) 40,400

**▶️Answer/Explanation**

D) 40,400

To determine the number of slugs of hydrogen converted by the Sun each second, given 589 million metric tons of hydrogen and the conversion factor \(1\) metric ton \(= 68.52\) slugs, we can perform the following calculation:

1. Convert metric tons to slugs:

\[

589 \text{ million metric tons} \times 68.52 \text{ slugs/metric ton}

\]

\[

= 589 \times 68.52 \text{ million slugs}

\]

\[

= 40365.48 \text{ million slugs}

\]

Thus, the number closest to the number of slugs of hydrogen, in millions, that are converted by the Sun each second is:

\[ \boxed{40,400} \]

**[Calc]**** ****Question**** **medium

An object has a mass of 200 grams and a volume of 10 cubic centimeters. What is the density, in grams per cubic centimeter, of the object?

**▶️Answer/Explanation**

Ans: 20

**Density is calculated by dividing the mass of an object by its volume.** Given that the mass of the object is \(200\) grams and its volume is \(10\) cubic centimeters, the density can be calculated as:

\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]

\[ \text{Density} = \frac{200 \text{ grams}}{10 \text{ cubic centimeters}} \]

\[ \text{Density} = 20 \text{ grams per cubic centimeter} \]

So, the density of the object is \(20\) grams per cubic centimeter.

**[Calc]**** ****Question**** **** Medium**

A 3,000-piece rectangular jigsaw puzzle has 216 edge pieces, and the rest are inside pieces. The equation $48 r+216=3,000$ describes this situation, where $r$ represents the number of rows that contain inside pieces. Which of the following is the best interpretation of $48 r$ in this context?

A) There are $48 r$ total pieces.

B) There are $48 r$ pieces in each row.

C) There are $48 r$ edge pieces.

D) There are $48 r$ inside pieces.

**▶️Answer/Explanation**

D

**[Calc]**** ****Question**** **** Medium**

Over a period of one year, two points on opposite sides of a mid-ocean ridge moved a distance of 4 centimeters farther apart. What is this distance, in meters? ( 1 meter $=100$ centimeters $)$

**▶️Answer/Explanation**

$2 / 50,04$

**[Calc]**** ****Question**** ** **Medium**

The volume of a neodymium magnet is 2.50 cubic centimeters, and its mass is 18.5 grams. What is the density, in grams per cubic centimeter, of the magnet?

A) 0.140

B) 7.40

C) 16.0

D) 46.3

**▶️Answer/Explanation**

Ans:B

To find the density (\(\rho\)) of the neodymium magnet, we use the formula:

\[

\rho = \frac{\text{mass}}{\text{volume}}

\]

Mass = 18.5 grams

Volume = 2.50 cubic centimeters

Substitute these values into the formula:

\[

\rho = \frac{18.5 \text{ g}}{2.50 \text{ cm}^3}

\]

Calculate the density:

\[

\rho = \frac{18.5}{2.50} = 7.4 \text{ g/cm}^3

\]

The answer is:

\[

\boxed{7.40}

\]

**[Calc]**** ****Question**** Medium**

Bill is planning to drive 1,000 miles to visit his family. If he plans to drive 250 miles per day, which of the following represents the remaining distance $d$, in miles, that Bill will have to drive to reach his family after driving for $n$ days?

A) $d=1,000+250 n$

B) $d=1,000 n-250$

C) $d=250 n-1,000$

D) $d=1,000-250 n$

**▶️Answer/Explanation**

D

**[Calc]**** ****Question**** **** Medium**

One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. How many more calories from fat are provided by a 100 -calorie serving of the microwave popcorn than are provided by a 100 -calorie serving of the pretzels?

**▶️Answer/Explanation**

50

*Question*

Which of the following speeds is equivalent to 90 kilometers per hour? (1 kilometer $=1,000$ meters $) $

A. 25 meters per second

B. 32 meters per second

C. 250 meters per second

D. 324 meters per second

**▶️Answer/Explanation**

Ans: A

*Questions *

For gym class, Shayla completed a 4-mile walking and running exercise. She ran for $7 t$ miles and she walked for $3\left(\frac{13}{15}-t\right)$ miles, where $t$ is the total amount of time, in hours, Shayla spent running. The equation $7 t+3\left(\frac{13}{15}-t\right)=4$ models this situation.

What is the total distance that Shayla spent walking and running, in kilometers? (Use 1 mile $=1.61$ kilometers)

A. 0.40

B. 4.00

C. 6.44

D. 10.53

**▶️Answer/Explanation**

Ans: C

*Question*

The equation $p=14.7+0.439 d$ approximates the pressure $p$, in pound per square inch, exerted on a diver at a depth of $d$ feet (ft) below the surface of the water. What is the increase in depth that is necessary to increase the pressure by 1 pound per square inch?

A. $\frac{1}{0.439} \mathrm{ft}$

B. $\frac{1}{14.7} \mathrm{ft}$

C. $0.439 \mathrm{ft}$

D. $14.7 \mathrm{ft}$

**▶️Answer/Explanation**

Ans: A

*Questions *

The energy pyramid below shows four trophic levels in an ecosystem and the direction of energy transfer between those levels.

On average, 10% of the net energy of one trophic level is transferred to the next trophic level in an ecosystem. Based on the energy pyramid, if primary producers have 5,000 joules (\(J\)) of energy, approximately how much of this energy, in calories, is transferred to the secondary consumers in this ecosystem? (1 calorie= 4.18 \(J\))

- 11.96
- 20.90
- 119.6
- 209.0

**▶️Answer/Explanation**Ans: A

*Questions *

The load capacity of a certain washing machine is 12 pounds. What is the approximate load capacity of the same washing machine, in kilograms? (1 kilogram $=2.2046$ pounds)

A. 2.2

B. 5.4

C. 9.8

D. 26.5

**▶️Answer/Explanation**

Ans: B

*Questions *

The circumference of Earth is estimated to be 40,030 kilometers at the equator. Which of the following best approximates the diameter, in miles, of Earth’s equator? (1 kilometer $\approx 0.62137$ miles)

A. 3,205 miles

B. 5,541 miles

C. 7,917 miles

D. 13,004 miles

**▶️Answer/Explanation**

Ans: C