Home / Digital SAT Math Practice Questions – Advanced : Percentages

Digital SAT Math Practice Questions – Advanced : Percentages

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  Hard

The expression \( 0.35x \) represents the result of decreasing a positive quantity \( x \) by what percent?
A. 3.5%
B. 35%
C. 6.5%
D. 65%

▶️Answer/Explanation

Ans: D
A quantity \( x \) decreased by \( p \)% is given by:
$
(1 – \frac{p}{100})x
$
We are given:
$
0.35x
$
So, we compare:
$
1 – \frac{p}{100} = 0.35
$

Question Hard

A school district is forming a committee to discuss plans for the construction of a new high school. Of those invited to join the committee, 15% are parents of students, 45% are teachers from the current high school, 25% are school and district administrators, and the remaining 6 individuals are students. How many more teachers were invited to join the committee than school and district administrators?

A) 4

B) 6

C) 8

D) 10

▶️ Answer/Explanation
Solution

Answer: 8

Let the total number of committee members be \(n\). With 6 students as the remainder, \(100\% – (15\% + 45\% + 25\%) = 15\%\) are students, so \(0.15n = 6\), \(n = 40\). Teachers = \(0.45 \times 40 = 18\), administrators = \(0.25 \times 40 = 10\), difference = \(18 – 10 = 8\).

 Question  Hard

The manager of an online news service received the report above on the number of subscriptions sold by the service. The manager estimated that the percent increase from 2012 to 2013 would be double the percent increase from 2013 to 2014. How many subscriptions did the manager expect would be sold in 2014?
A. 6,020
B. 6,027
C. 6,440
D. 6,468

▶️Answer/Explanation

Ans: B
Find the percent increase from 2012 to 2013
$
\frac{5,880 – 5,600}{5,600} = \frac{280}{5,600} = 0.05 = 5\%
$
The percent increase from 2013 to 2014 is half of this:
$
\frac{5\%}{2} = 2.5\%
$
Find the number of subscriptions in 2014
$
5,880 \times 1.025 = 6,027
$

 Question  Hard

140 is \( p\%\) greater than 10. What is the value of \( p \)?
A. 1400
B.1300
C.140
D. 130

▶️Answer/Explanation

Ans: B

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