Home / Digital SAT Math Practice Questions – Medium : Ratios, rates, proportional relationships and Units

Digital SAT Math Practice Questions – Medium : Ratios, rates, proportional relationships and Units

Digital SAT Math Practice Questions - Medium : Ratios, rates, proportional relationships and 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

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DSAT MAth and English  – full syllabus practice tests

Question Medium
Distance (miles)Average time (minutes)
0.164
0.4812
0.7218

The table shows the average time \( t \), in minutes, it takes Oliver to walk a certain distance \( d \), in miles. Which equation could represent this linear relationship?

A) \( t = 40d \)

B) \( t = 25d \)

C) \( t = \frac{1}{25}d \)

D) \( t = \frac{1}{40}d \)

▶️ Answer/Explanation
Solution

Answer: B

Slope = \( \frac{12 – 4}{0.48 – 0.16} = \frac{8}{0.32} = 25 \).

Equation: \( t = 25d \).

Question Medium

Glass volume diagram

The glass pictured above can hold a maximum volume of 473 cubic centimeters, which is approximately 16 fluid ounces. Jenny has a pitcher that contains 1 gallon of water. How many times could Jenny completely fill the glass with 1 gallon of water? (1 gallon = 128 fluid ounces).

A) 16

B) 8

C) 4

D) 3

▶️ Answer/Explanation
Solution

Answer: B

1 gallon = 128 fluid ounces, glass holds 16 fluid ounces.

Number of fills = \( \frac{128}{16} = 8 \).

Question Medium

Lucia and John will work together to make 60 paper flowers for a school party. The line shown represents the possible combinations of time, in hours, spent by Lucia and John to fulfill this task.

Time allocation graph

According to the graph, on average, how many paper flowers will Lucia make per hour?

A) 4

B) 5

C) 12

D) 15

▶️ Answer/Explanation
Solution

Answer: B

Lucia takes 12 hours to make 60 flowers when John works 0 hours.

Rate = \( \frac{60}{12} = 5 \) flowers per hour.

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