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
Question Easy
In a certain election, the ratio of electoral votes received in Maine by Candidate \(\mathrm{X}\) to those received by Candidate \(\mathrm{Y}\) was 3 to 1 . The state of Maine had 4 electoral votes in this election. How many electoral votes did Candidate \(\mathrm{Y}\) receive in Maine?
A) 1
B) 2
C) 3
D) 4
▶️Answer/Explanation
Ans:A
In the election, the ratio of electoral votes received by Candidate X to those received by Candidate Y in Maine was 3 to 1. Maine had a total of 4 electoral votes.
Let \( X \) be the number of electoral votes received by Candidate X and \( Y \) be the number of electoral votes received by Candidate Y. According to the ratio:
\[
\frac{X}{Y} = 3 \quad \text{and} \quad \frac{X}{Y} = 3 \implies X = 3Y
\]
The total number of electoral votes is:
\[
X + Y = 4
\]
Substitute \( X = 3Y \) into the total votes equation:
\[
3Y + Y = 4 \\
4Y = 4 \\
Y = 1
\]
Question Easy
A car’s fuel efficiency is 30 miles per gallon of gasoline. During a trip, the car uses 5 gallons of gasoline. Based on the car’s fuel efficiency, how many miles did the car travel during the trip?
A) 5
B) 6
C) 35
D) 150
▶️Answer/Explanation
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Ans:D
A car has a fuel efficiency of 30 miles per gallon of gasoline. During a trip, the car uses 5 gallons of gasoline. To find out how many miles the car traveled during the trip, we can use the formula:
\[
\text{Total miles traveled} = \text{Fuel efficiency} \times \text{Gallons of gasoline used}
\]
Substitute the given values into the formula:
\[
\text{Total miles traveled} = 30 \, \text{miles/gallon} \times 5 \, \text{gallons}
\]
Calculate the product:
\[
\text{Total miles traveled} = 150 \, \text{miles}
\]
Question Easy
An object has a mass of 3,300 milligrams. What is the mass of the object in grams? ( 1 gram \(=1,000\) milligrams)
A. 0.33
B. 3.30
C. 33.00
D. 330.00
▶️Answer/Explanation
Ans:B
To convert milligrams to grams, we divide by \(1,000\) since \(1\) gram is equal to \(1,000\) milligrams.
So, the mass of the object in grams is:
\[3,300 \text{ milligrams} \div 1,000 = 3.30 \text{ grams}\]
Therefore, the correct answer is option B: \(3.30\) grams.
Question Easy
The graph shows the change over time, in milliseconds (ms), in a neuron’s membrane potential, in millivolts ( \(\mathrm{mV}\) ), during an electrical brain signal known as an action potential. At which of the following times, in \(\mathrm{ms}\), is the membrane potential closest to negative \(70 \mathrm{mV}\) ?
A. 2
B. 3
C. 4
D. 5
▶️Answer/Explanation
Ans:D
There will be two times, in \(\mathrm{ms}\),when the membrane potential closest to negative \(70 \mathrm{mV}\)
$\text{t= 0 and 5 mV}$
Question Easy
The function m is defined by m(x)=30x+120 What is the slope of the graph of y = m(x) in the xy-plane?
▶️Answer/Explanation
Ans: 30
The slope of a linear function \(m(x)\) in the form \(m(x) = mx + b\) is the coefficient of \(x\), which is \(30\) in this case. So, the slope of the graph of \(y = m(x)\) in the \(xy\)-plane is \(30\).