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grade8_graphs_quiz1 draws its questions at random from a bank of 10 questions, with full worked solutions for every one.
A few of the question types, with full solutions, so you know what to expect.
A learner records the temperature of a hot drink while it cools, plotting temperature against time. Which variable is the independent variable?
Answer: Time
\(\text{The independent variable is the quantity that progresses on its own.}\)
\(\text{Time passes regardless of the temperature.}\)
In the same cooling-drink graph, which variable is the dependent variable?
Answer: Temperature
\(\text{The dependent variable responds to the independent variable.}\)
\(\text{The temperature changes as time passes, so it depends on time.}\)
A rain gauge records rainfall (mm) on 6 days: Day 1 = 4, Day 2 = 9, Day 3 = 6, Day 4 = 12, Day 5 = 12, Day 6 = 3. What is the maximum rainfall recorded?
\(\text{Compare all six values: } 4,\ 9,\ 6,\ 12,\ 12,\ 3\)
\(\text{The greatest value is 12, occurring on Day 4 and Day 5.}\)
Using the same rainfall data (4, 9, 6, 12, 12, 3 mm over Days 1-6), what is the minimum rainfall recorded?
\(\text{Compare all six values: } 4,\ 9,\ 6,\ 12,\ 12,\ 3\)
\(\text{The least value is 3, occurring on Day 6.}\)
A traveller's distance from home (km) is recorded every hour: 0h=0, 1h=4, 2h=8, 3h=8, 4h=12, 5h=16. During which interval did the distance remain constant?
Answer: 2 to 3 hours
\(\text{Look for two consecutive readings with the same distance.}\)
\(\text{At 2 hours the distance is 8 km; at 3 hours it is still 8 km.}\)