Cartesian Plane and Coordinates

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Cartesian Plane and Coordinates — Free MYP5 Mathematics (Standard) Practice Questions

1QuestionIdentifying Coordinates from a GraphConcept Practice

1 mark~2 minCriterion A

Identify the coordinates of point P on the Cartesian plane.

(2, -3)

(-3, 2)

(3, -2)

(-2, 3)

Solutions

2QuestionIdentifying Coordinates from a GraphAssessment Practice

6 marks~9 minCriterion D

Two mobile phone plans are advertised as follows:

Plan X: monthly base fee of 20 dollars, plus a charge per minute used.
Plan Y: no base fee, charged only per minute used.

The graph shows monthly cost (

y

, in dollars) against minutes used (

x

). Plan X passes through

(0,\ 20)

and

(100,\ 50)

. Plan Y passes through

(0,\ 0)

and

(150,\ 60)

Calculate the equation of each plan in the form

y = mx + c

. [2]

Deduce the number of minutes at which both plans cost the same. [2]

Advise a customer who expects to use 250 minutes per month on which plan to choose, justifying your recommendation with calculated costs. [2]

Solutions

3QuestionInterpreting Grids and Map CoordinatesConcept Practice

2 marks~3 minCriterion C

A search-and-rescue team uses a topographic map with a 4-figure grid reference system to locate a missing hiker. The map grid divides the terrain into squares, each representing a 1 km × 1 km area on the ground.

Explain how a 4-figure grid reference identifies a position on the map, and describe one limitation of this system for pinpointing the hiker's exact location. [2]

Solutions

4QuestionReal-Life Uses of Cartesian CoordinatesAssessment Practice

8 marks~12 minCriterion B

A taxi travels along a straight road through a city grid. GPS tracking records the following positions:

Point A	$x = 1$	$y = 3$
Point B	$x = 2$	$y = 5$
Point C	$x = 3$	$y = 7$
Point D	$x = 4$	$y = 9$

Describe the pattern in the

y

-coordinates as

x

increases by 1, and state the constant difference. [2]

Deduce the coordinates of the next two points, E and F, on the same road. [2]

Determine the equation of the road in the form

y = mx + c

. Explain how the constant difference from part (a) determines the value of

m

. [2]

The taxi dispatcher claims the road passes through the point

(10, 21)

. Justify whether this claim is correct, and interpret what your answer means about the taxi's route. [2]

Solutions

Questions 5-43

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