Driving speed

Driving speed

Auto-markingPencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about calculating distance, time and speed.
Cars driving through trees.png

Question

a) Deborah and Leah were driving from Wellington to Hamilton. They stopped for a rest after 1\(3 \over 4\) hours and calculated that their average speed had been 84 km/h.
What was the distance they had travelled?

    • 48 km

    • 85.75 km

    • 126 km

    • 147 km

Question

b)  Richard and James drove for 4\(1 \over 2\) hours. They saw that they had travelled 360 km in that time.
What was their average speed?

    • 45 km/h

    • 80 km/h

    • 90 km/h

    • 100 km/h

Question

c)  Vicky and Shannon drove from Taupo straight through to Wanganui, which was 225 km away, at an average speed of 90 km/h.
How long did it take them to get there?

    • 2 hr 30 min

    • 2 hr 40 min

    • 2 hr 45 min

    • 2 hr 50 min

Task administration: 
This task can be completed with pencil and paper or online with auto-marking.
Copyright: 
Photo by Callum Eddings (Unsplash)
Level:
5
Curriculum info: 
Maths, Number and Algebra, Number Strategies
Keywords: 
speed, distances, time, rates
Description of task: 
Students answer questions that require calculations with distance, time and speed.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Multiplicative thinking, sets 8-9
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 
 

Y9 (07/1997)

Y10 (07/1997)
a) D moderate moderate
b) B easy easy
c) A moderate moderate
Diagnostic and formative information: 
    Likely calculation Likely reason
a) C – 126 1.5 × 84  
  C – 90 360 ÷ 4  
c) D – 2h 45m
C – 2h 50m		 225 ÷ 90 = 2r45
225 ÷ 90 = 2.5		 Confuses remainder with minutes.
Confuses .5hr with 50min.