PSAT/NMSQT Problem-Solving and Data Analysis. Practice it free.

Focuses on quantitative reasoning and the interpretation and analysis of data and ratios, rates, and proportional relationships. This All grades reporting domain maps to 29 practice skills and 8 representative questions from the playable bank.

Grades 10-1129 mapped skills
What the test measures

Problem-Solving and Data Analysis skills

  1. Ratios, rates, proportional relationships, and units

  2. Percentages

  3. One-variable data: distributions and measures of center and spread

  4. Two-variable data: scatterplots, lines of best fit, and association

  5. Probability and conditional probability

  6. Inference from sample statistics and percent change

Standards basis

College Board SAT Suite content domains aligned to college- and career-ready math skills; Common Core State Standards–aligned at the content level — national

How the PSAT/NMSQT reports it

PSAT/NMSQT uses the same SAT Suite digital test design and shared math content domains as SAT and the other PSATs. College Board states these tests assess the same group of skills and knowledge, with content aligned to the SAT Suite’s domain framework rather than a state-specific blueprint.

Blueprint & weighting

College Board’s SAT Suite math content domains are used for reporting and preparation, but the primary sources retrieved here did not provide a PSAT/NMSQT-specific published item percentage by domain in accessible form.

Practice by skill

Topics mapped to this domain

Custom unit conversions

Grade 610 questions

Fraction-decimal-percent conversion

Grade 6180 questions

Percent of a quantity

Grade 610 questions

Percent problems

Grade 7213 questions

Percent proportion word problems

Grade 710 questions

Simple interest

Grade 730 questions

Table problems with percents and ratios (ACT)

Grade 710 questions

Central Measures from Tally Charts (ACT)

Grade 610 questions

Compare standard deviation of data sets (ACT)

Grade 910 questions

Comparing means

Grade 710 questions

Comparing medians

Grade 710 questions

Compound probability

Grade 718 questions
Try it now

8 free questions · 0/0 correct

Practice playmedium

A hiking sign lists the distance to a waterfall as 4,5004{,}500 meters. How many kilometers is that? (11 kilometer =1,000= 1{,}000 meters)

Use a conversion factor with kilometers in the numerator so meters cancel: 4,500 m×1 km1,000 m=4.5 km4{,}500 \text{ m} \times \dfrac{1 \text{ km}}{1{,}000 \text{ m}} = 4.5 \text{ km}.

Practice playeasy

Write 5%5\% as a fraction in lowest terms.

5%=1205\% = \dfrac{1}{20}.

Practice playeasy

A community center expects 8080 volunteers for a cleanup day. By 88 a.m., 60%60\% of the volunteers have signed in. How many volunteers have signed in by 88 a.m.?

Convert 60%60\% to a decimal and multiply: 0.60×80=480.60 \times 80 = 48 volunteers.

Practice playeasy

Sales tax is 10%10\%. What is the tax on a $80\text{\char36}80 purchase?

Tax: 0.1×$80=$8.00.1 \times \text{\char36}80 = \text{\char36}8.0.

Practice playmedium

The price of a laptop decreased from $800\text{\char36}800 to $680\text{\char36}680. What is the percent decrease?

Decrease =800−680=120= 800 - 680 = 120. Percent decrease =120800=0.15=15%= \dfrac{120}{800} = 0.15 = 15\%.

Practice playeasy

Find the simple interest on $300\text{\char36}300 at 4%4\% per year for 11 year.

I=300×0.04×1=$12I = 300 \times 0.04 \times 1 = \$12.

Practice playmedium

Two store locations report inventory and the percent sold. How many more items were sold at the South store than at the North store?
StoreInventoryPercent soldNorth20025%South16050%\begin{array}{l|c|c} \text{Store} & \text{Inventory} & \text{Percent sold} \\ \hline \text{North} & 200 & 25\% \\ \text{South} & 160 & 50\% \end{array}

North sold 200⋅0.25=50200\cdot 0.25=50 items. South sold 160⋅0.50=80160\cdot 0.50=80 items. Difference: 80−50=3080-50=30 items.

Practice playeasy

The table shows quiz scores and how many students earned each score.
Quiz scoreNumber of students622683745803863\begin{array}{c|c} \text{Quiz score} & \text{Number of students} \\ \hline 62 & 2 \\ 68 & 3 \\ 74 & 5 \\ 80 & 3 \\ 86 & 3 \end{array}

What is the median quiz score?

There are 1616 scores. Listing every score from least to greatest, the 88th and 99th values are both 7474, so the median is 7474.

Keep practicing

Turn problem-solving and data analysis into game time.

The PSAT/NMSQT placement starts with this test's real coverage map and finds the right difficulty.

Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →Blossom Leap game coverBlossom LeapPlay →Bullseye Blitz game coverBullseye BlitzPlay →
Related Common Core standards
6.RP.A.36.RP.A.3.C7.RP.A.3HSS.ID.A.27.SP.C.8HSS.CP.A.36.SP.B.57.SP.C.7
The same skills on other tests
SATPSAT 10PSAT 8/9
Source and test overview
All PSAT/NMSQT prepOfficial test source
Reporting categories

More All grades domains

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