3A · Chapter 7 · Practice
Chapter practice examination
This original untimed public practice examination is not a secure school or placement test.
This original untimed public practice examination is not a secure school or placement test. No name, account, or answer is transmitted to any server.
Assessment · 20 questions
Problems
The complete solutions are available here after each question and on the printable answer-key page.
- A1
Two charts show the same values but one y-axis begins at 20. Why can the second look more dramatic?
Show answer and reasoning
Answer: The scale is truncated
Cutting off the lower portion changes the visible bar-height ratio without changing the data.
- A2
Why is a pictograph with key 1 symbol = 5 different from a pictograph with key 1 symbol = 1?
Show answer and reasoning
Answer: The scale changes
Each mark represents five objects in the first graph. Count symbols and multiply by the key.
- A3
Read the bar graph below. How many more items are shown on Wednesday than Thursday?
Read using the vertical axis; equally spaced intervals represent 4 items each. Show answer and reasoning
Answer: 8
32−24=8. The heights must be read using equal axis units.
- A4
Refer to the collection table below. If a new pictograph uses one symbol per 2 collected items, how many symbols are needed altogether?
Original data table (cans) Category Cans Paper 16 Cans 12 Glass 8 Use the table values to draw or interpret the graph requested. Show answer and reasoning
Answer: 18 symbols
36 cans total; at 2 cans per symbol, 36÷2=18 symbols.
- A5
A chart uses vertical marks separated by 10. A bar reaches the third mark above zero. What does it represent?
Show answer and reasoning
Answer: 30
Three intervals of 10 give 30.
- A6
A pictograph uses half a symbol for 2 students. How many students does a full symbol represent?
Show answer and reasoning
Answer: 4
If one half stands for 2, two halves (one whole symbol) represent 4.
- A7
Use the table below to draw a bar graph with a scale of 2 buses per interval. Which day is busiest, and how many buses arrived?
Original data table (buses) Category Buses Monday 12 Tuesday 18 Wednesday 16 Use the table values to draw or interpret the graph requested. Show answer and reasoning
Answer: Tuesday, 18
Draw equal-width bars starting at zero with heights 12,18,16; Tuesday is largest.
- A8
Read the bar graph below. What would be a sensible number of items per grid interval, and why?
Read using the vertical axis; equally spaced intervals represent 5 items each. Show answer and reasoning
Answer: 5 units
A vertical scale 0,5,10,15,20,25 reaches all data accurately and is easy to interpret.
- A9
Using the table below, draw a labeled bar graph starting at zero. How many children voted altogether?
Original data table (votes) Category Votes Tag 14 Soccer 17 Chess 9 Use the table values to draw or interpret the graph requested. Show answer and reasoning
Answer: 40
14+17+9=40. Use labels and units in the table.
- A10
Use the pictograph key. What is the difference in items between Cans and Glass?
Pictograph: read the key and scale carefully before solving. Show answer and reasoning
Answer: 15
Cans has 7 symbols, or 35 items; Glass has 4 symbols, or 20 items. Difference 15.
- A11
Read the bar graph below. Which day had three times as much rain as the last day, and how many millimeters was that?
Read using the vertical axis; equally spaced intervals represent 3 millimeters each. Show answer and reasoning
Answer: Tuesday, 9 mm
Tuesday has 9 mm while Wednesday has 3 mm; 9 is three times 3.
- A12
Read the bar graph below. What is the difference between the largest and smallest categories?
Bar graph: read the key and scale carefully before solving. Show answer and reasoning
Answer: 15
Greatest value 40; least value 25; their difference is 15 books.
- A13
Read the bar graph below. What is the difference between the largest and smallest categories?
Bar graph: read the key and scale carefully before solving. Show answer and reasoning
Answer: 5
Greatest value 45; least value 40; their difference is 5 items.
- A14
Read the bar graph below. What is the difference between the largest and smallest categories?
Bar graph: read the key and scale carefully before solving. Show answer and reasoning
Answer: 6
Greatest value 10; least value 4; their difference is 6 items.
- A15
Use the pictograph key. What is the difference in items between Glass and Cans?
Pictograph: read the key and scale carefully before solving. Show answer and reasoning
Answer: 12
Glass has 10 symbols, or 20 items; Cans has 4 symbols, or 8 items. Difference 12.
- A16
Read the bar graph below. What is the difference between the largest and smallest categories?
Bar graph: read the key and scale carefully before solving. Show answer and reasoning
Answer: 2
Greatest value 14; least value 12; their difference is 2 items.
- A17
Use the pictograph key. What is the difference in items between Glass and Cans?
Pictograph: read the key and scale carefully before solving. Show answer and reasoning
Answer: 5
Glass has 7 symbols, or 7 items; Cans has 2 symbols, or 2 items. Difference 5.
- A18
Use the library data table below. How many books were lent altogether?
Original data table (books) Category Books Mon 10 Tue 15 Wed 20 Use the table values to draw or interpret the graph requested. Show answer and reasoning
Answer: 45
10+15+20=45. Read the table/graph values before adding.
- A19
What is wrong with drawing a bar for 18 that is shorter than a bar for 12 on the same zero-based scale?
Show answer and reasoning
Answer: Inconsistent scale
With the same positive equal scale, the larger quantity must have a longer bar.
- A20
Use the pictograph key. What is the difference in votes between Art and Drama?
Pictograph: read the key and scale carefully before solving. Show answer and reasoning
Answer: 10
Art has 8 symbols, or 40 votes; Drama has 6 symbols, or 30 votes. Difference 10.