Digital SAT Math Practice Questions - Medium : Units - New Syllabus
DSAT 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
DSAT MAth and English – full syllabus practice tests
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:
\[ \boxed{40,400} \]
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
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:
\[
\boxed{7.40}
\]
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