Chapter review

Attempt independently, then review the full reasoning in the answer key.

Attempt independently, then review the full reasoning in the answer key. No name, account, or answer is transmitted to any server.

Assessment · 24 questions

Problems

The complete solutions are available here after each question and on the printable answer-key page.

A1
Use the bar graph scale: how many books are shown for Science?
Bar graph: read the key and scale carefully before solving.
Show answer and reasoning
Answer: 2
The Science bar reaches 2 on the numeric scale, meaning 2 books.
A2
A bar chart shows values 9, 12 and 15. Explain what changes if all values double while the axis scale stays fixed.
Show answer and reasoning
Answer: All three bars double in height
The represented quantities become 18,24,30; on the same scale, every bar is twice as tall.
A3
Use the pictograph key. How many books does Science represent?
Pictograph: read the key and scale carefully before solving.
Show answer and reasoning
Answer: 30
The Science row has 6 symbols and each means 5 books, giving 6×5=30.
A4
Use the bar graph scale: how many books are shown for Science?
Bar graph: read the key and scale carefully before solving.
Show answer and reasoning
Answer: 30
The Science bar reaches 30 on the numeric scale, meaning 30 books.
A5
A pictograph has 4 stars for Class A and 6 for Class B. Each star means 3 points. Find the difference.
Show answer and reasoning
Answer: 6 points
The star difference is 2; 2×3=6 points.
A6
Use the pictograph key. How many books does Science represent?
Pictograph: read the key and scale carefully before solving.
Show answer and reasoning
Answer: 6
The Science row has 3 symbols and each means 2 books, giving 3×2=6.
A7
Use the pictograph key. How many items does Cans represent?
Pictograph: read the key and scale carefully before solving.
Show answer and reasoning
Answer: 25
The Cans row has 5 symbols and each means 5 items, giving 5×5=25.
A8
Which pictograph is clearer for data 6, 12 and 18: 1 symbol = 3 or 1 symbol = 7? Explain.
Show answer and reasoning
Answer: 1 symbol = 3
All data are multiples of 3, giving 2,4,6 whole symbols; a 7-unit key requires difficult fractional marks.
A9
Use the bar graph scale: how many vehicles are shown for Trains?
Bar graph: read the key and scale carefully before solving.
Show answer and reasoning
Answer: 8
The Trains bar reaches 8 on the numeric scale, meaning 8 vehicles.
A10
Use the pictograph key. How many books does Science represent?
Pictograph: read the key and scale carefully before solving.
Show answer and reasoning
Answer: 8
The Science row has 4 symbols and each means 2 books, giving 4×2=8.
A11
A survey table shows 8 reading votes, 12 art votes, and 16 sport votes. What is the total?
Show answer and reasoning
Answer: 36
8+12+16=36. Use labeled data values, not the number of categories.
A12
Use the bar graph scale: how many vehicles are shown for Trains?
Bar graph: read the key and scale carefully before solving.
Show answer and reasoning
Answer: 2
The Trains bar reaches 2 on the numeric scale, meaning 2 vehicles.
A13
Use the pictograph key. How many items does Cans represent?
Pictograph: read the key and scale carefully before solving.
Show answer and reasoning
Answer: 6
The Cans row has 3 symbols and each means 2 items, giving 3×2=6.
A14
The class creates a bar graph for 14, 20, 26 books. Suggest an axis step and show the required tick labels through at least 26.
Show answer and reasoning
Answer: 2 books per interval; 0, 2, …, 26
A consistent two-book interval exactly represents all three counts. Other consistent readable intervals are possible.
A15
Use the bar graph scale: how many vehicles are shown for Trains?
Bar graph: read the key and scale carefully before solving.
Show answer and reasoning
Answer: 10
The Trains bar reaches 10 on the numeric scale, meaning 10 vehicles.
A16
A table lists 11 red, 15 blue, and 10 green balloons. How many more blue than green?
Show answer and reasoning
Answer: 5
Blue=15, green=10, difference=5.
A17
Why does a graph with intervals 0, 5, 10, 15 need equal distances between its marks?
Show answer and reasoning
Answer: It uses a consistent scale
Equal spaces must mean equal changes; otherwise the bar heights distort quantities.
A18
Use the bar graph scale: how many vehicles are shown for Trains?
Bar graph: read the key and scale carefully before solving.
Show answer and reasoning
Answer: 35
The Trains bar reaches 35 on the numeric scale, meaning 35 vehicles.
A19
Use the pictograph key. How many books does Science represent?
Pictograph: read the key and scale carefully before solving.
Show answer and reasoning
Answer: 8
The Science row has 8 symbols and each means 1 books, giving 8×1=8.
A20
A graph has a bar for 40 that is drawn only one quarter as high as a bar for 20, using the same zero-based scale. What is wrong?
Show answer and reasoning
Answer: Inconsistent graph heights
On a shared linear scale, 40 must be twice 20, not one quarter as tall.
A21
Use the bar graph scale: how many books are shown for Science?
Bar graph: read the key and scale carefully before solving.
Show answer and reasoning
Answer: 8
The Science bar reaches 8 on the numeric scale, meaning 8 books.
A22
Use the pictograph key. How many books does Science represent?
Pictograph: read the key and scale carefully before solving.
Show answer and reasoning
Answer: 7
The Science row has 7 symbols and each means 1 books, giving 7×1=7.
A23
Use the pictograph key. How many books does Science represent?
Pictograph: read the key and scale carefully before solving.
Show answer and reasoning
Answer: 25
The Science row has 5 symbols and each means 5 books, giving 5×5=25.
A24
Use the bar graph scale: how many books are shown for Science?
Bar graph: read the key and scale carefully before solving.
Show answer and reasoning
Answer: 35
The Science bar reaches 35 on the numeric scale, meaning 35 books.

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