Geometry – Coordinates and Transformations — Free MYP1 Mathematics Practice Questions

1QuestionPlotting Points in All Four QuadrantsConcept Practice

3 marks~5 minCriterion A

Two points are plotted on a Cartesian plane: $A(-3, 2)$ and $B(1, -1)$.

a

Identify the $x$-coordinate of each point. [1]

b

Calculate the horizontal distance between $A$ and $B$. [1]

c

Describe how the vertical distance between $A$ and $B$ compares to the horizontal distance. [1]

Solutions

AnswerModel AnswerMarking SchemeExaminer Insights

2QuestionPlotting Points in All Four QuadrantsConcept Practice

2 marks~3 minCriterion B

Look at these points plotted on a coordinate grid:

$(1, 2)$, $(2, 4)$, $(3, 6)$, $(4, 8)$

a

Describe the relationship between the $x$-coordinate and the $y$-coordinate. [1]

b

State the next two points in the sequence. [1]

$$x\text{-coordinates: } \underline{\quad}, \underline{\quad}$$
$$y\text{-coordinates: } \underline{\quad}, \underline{\quad}$$

Solutions

AnswerModel AnswerMarking SchemeExaminer Insights

3QuestionPlotting Points in All Four QuadrantsAssessment Practice

6 marks~9 minCriterion C

Look at the coordinate grid below.

Point $A$ is at $(2, 3)$. Point $B$ is at $(-4, 5)$.

a

Label point $A$ and point $B$ on the grid. [2]

b

Describe what happens to the coordinates of point $A$ when it is reflected over the $x$-axis. [2]

c

A student says: "Reflecting over the $x$-axis always keeps the $x$-coordinate positive." Describe why this rule works for point $A$ but not for point $B$. [2]

Solutions

AnswerModel AnswerMarking SchemeExaminer Insights

4QuestionDescribing Positions Using CoordinatesAssessment Practice

6 marks~9 minCriterion D

A simple school map shows three rooms as points on a grid.

Library: $(3, 4)$ — Science Lab: $(5, 6)$ — Canteen: $(7, 2)$

a

State the coordinates of the Canteen. [1]

b

Describe how a new student would walk from the Library to the Canteen using the coordinates. [2]

c

The grid has no scale or units. Describe one way this makes the map less useful, and give one example of information that could be added to improve it. [3]

Solutions

AnswerModel AnswerMarking SchemeExaminer Insights