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Digital SAT Math Practice Questions – Medium : Percentages

Digital SAT Math Practice Questions - Medium : Percentages - 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

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DSAT MAth and English  – full syllabus practice tests

Question Medium

Oocytes are a type of cell that can be modeled as a sphere. The table shows the surface area, in square micrometers (\(\mu \mathrm{m}^2\)), and volume, in cubic micrometers (\(\mu \mathrm{m}^3\)), based on the average radius for oocytes at the same stage of development in four types of mammals.

(The surface area of a sphere with a radius of \(r\) is \(4 \pi r^2\), and the volume of a sphere with a radius of \(r\) is equal to \(\frac{4}{3} \pi r^3\)).

MammalSurface area (\(\mu \mathrm{m}^2\))Volume (\(\mu \mathrm{m}^3\))
Mouse498.761,047.4
Hamster1,720.26,708.8
Pig2,660.312,903
Human4,071.524,429

The volume of a mouse oocyte is approximately what percent of the volume of a human oocyte?

A) \(4.29\%\)

B) \(8.16\%\)

C) \(12.25\%\)

D) \(23.32\%\)

▶️ Answer/Explanation
Solution

Answer: A

Percentage = \( \left(\frac{1,047.4}{24,429}\right) \times 100 \approx 4.29\% \).

Question Medium

The bar graph shown summarizes the total number of businesses, in thousands, and the total number of tourism-related businesses, in thousands, in Iceland for each of 7 years.

Businesses in Iceland graph

In 2008, what percentage of the total businesses in Iceland were tourism-related?

A) \(52\%\)

B) \(20\%\)

C) \(5\%\)

D) \(2\%\)

▶️ Answer/Explanation
Solution

Answer: B

Total businesses in 2008 = 2.6 thousand, tourism-related = 0.52 thousand.

Percentage = \( \left(\frac{0.52}{2.6}\right) \times 100 \approx 20\% \).

Question  medium

Kai went on a bike ride. During the first mile of his bike ride, he rode at a constant speed, s. After the first mile of his ride, Kai increased his speed by 100%. Which of the following expressions represents the speed Kai rode his bike after the first mile, in terms of s ?
A. s
B. s + 1
C. 1.5s
D. 2s

▶️Answer/Explanation

Ans: D

After the first mile of his ride, Kai increased his speed by \(100\%\), which means his speed doubled. Therefore, the expression representing the speed Kai rode his bike after the first mile, in terms of \(s\), would be \(2s\). So, the correct answer is option D, \(2s\).

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