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graphs-and-coordinate-geometry-l2 MCQ - Practice Questions with Answers

Solve 30 graphs-and-coordinate-geometry-l2 questions for RAS/RPSC preparation.

Practice questions

Q1A learner plots (4, 1) at the place for (1, 4). Which teacher correction directly addresses the error?

A Tell the learner that all plotted points should be joined by a line.
B Ask the learner to write a larger scale on both axes.
C Remind the learner to move first along the x-direction for 4 units, then along the y-direction for 1 unit.
D Ask the learner to convert the point into a pie-chart sector.
Explanation

The learner has reversed the order of the coordinates, so the correction should stress x first and y second. Joining points, changing scale, or moving to a pie chart does not fix the ordered-pair error.

Q2A student has to plot the ordered pair (2, 5). Which action is correct?

A Move 5 units along the horizontal axis and 2 units along the vertical axis
B Move 5 units along both axes because the second number decides both movements
C Move 2 units along both axes because the first number decides both movements
D Move 2 units along the horizontal axis and 5 units along the vertical axis
Explanation

In (2, 5), 2 gives the horizontal movement and 5 gives the vertical movement. The common error is to reverse the order or to let one coordinate decide both directions.

Q3On a coordinate plane, which statement correctly describes the point (0, 0)?

A It is the origin, where the x-axis and y-axis meet.
B It is any point on the x-axis with y-coordinate 1.
C It is the point one unit right and one unit up from the axes.
D It is the point where only the x-axis begins; the y-axis begins elsewhere.
Explanation

The point (0, 0) is the origin because both coordinates are zero and the x-axis and y-axis meet there. The other choices either change one coordinate, describe (1, 1), or split the two axes incorrectly.

Q4Match List I with List II: Bar graph, Pie chart, Ordered pair, Origin.

A Categories; whole-parts; point location; (0, 0)
B Whole-parts; categories; (0, 0); point location
C Trend; categories; angle; area
D Intervals; trend; sector; negative number
Explanation

Bar graphs show categories, pie charts show parts of a whole, an ordered pair fixes a point's location, and the origin is the point (0, 0); option A keeps each pairing correct.

Q5Match the graph type with the best classroom data: line graph, bar graph, histogram, circular graph.

A Favourite games; temperature through a day; whole class share; marks intervals
B Temperature through a day; favourite games; marks intervals; share of whole class
C Marks intervals; whole class share; favourite games; temperature
D Whole class share; marks intervals; temperature; favourite games
Explanation

Line graphs suit change over time (daily temperature), bar graphs suit discrete categories (favourite games), histograms suit grouped intervals (marks), and circular graphs suit parts of one whole (class share).

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More questions

6Assertion: Devika can direct a floor-grid activity even if she cannot move quickly across the grid. Reason: Inclusive access may change the role while keeping the same mathematical idea.

ABoth true, and reason explains assertion
BAssertion true, reason false
CAssertion false, reason true
DBoth true, but reason does not explain assertion

7A class survey gives the numbers of students using bus, bicycle, walking and guardian drop-off. While making a bar graph, which item is essential before comparing bar heights?

AThe bars must be joined to show a continuous pattern
BThe vertical axis may use unequal steps if the bars look neat
CThe vertical axis must have an equal scale with units
DThe categories must be converted into marks intervals

8A student has to plot the ordered pair (2, 5). Which movement from the origin matches this point on a basic coordinate grid?

AMove 5 units right and 2 units up.
BMove 2 units right and 5 units up.
CMove 2 units up and 5 units right.
DMove only 7 units away from the origin in any direction.

9Which graph is most suitable for showing how the temperature changes from 8 a.m. to 4 p.m. on the same day?

ALine graph
BBar graph
CHistogram
DCircular graph

10Assertion: A line graph is useful for showing temperature during a day. Reason: It can show change over a continuous time scale.

AAssertion true, reason false
BAssertion false, reason true
CBoth true, but reason does not explain assertion
DBoth true, and reason explains assertion

11Statements: I. A graph can show association. II. A graph always proves the cause of the association.

AOnly II is correct
BBoth I and II are correct
CNeither I nor II is correct
DOnly I is correct

12Which point lies on the y-axis?

A(3, 2)
B(2, 0)
C(0, 4)
D(4, 0)

13On a coordinate plane, what is the origin?

AThe point where only the horizontal axis begins
BThe point (0, 0) where the two axes meet
CAny point whose first coordinate is zero
DAny point whose second coordinate is zero

14In a bar graph, the scale is 1 square = 4 books. If the bar for the class library has a height of 7 squares, how many books does it show?

A7 books
B11 books
C24 books
D28 books

15Before interpreting whether a graph is rising or falling, which set of details should be checked first?

AOnly the tallest point and the lowest point
BTitle, axes, units, scale and source
CColour of lines and neatness of drawing
DNumber of squares used on the graph paper

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