Problem-Solving and Data AnalysisHardMap scale with a non-unit ratio
Problem-Solving and Data Analysis practice question
On a map, 2 centimetres represent 5 kilometres. A footpath measures 7.5 centimetres on the map. How many kilometres long is the footpath?
Answer: 18.75 or 75/4
Each centimetre is 2.5 km, so 7.5 cm is 7.5 × 2.5 = 18.75 km.
Common wrong answers
- If you answered 3
- 3 divides 7.5 by 2.5 instead of multiplying.
- If you answered 15
- 15 uses 2 km per centimetre, inverting the scale.
- If you answered 37.5
- 37.5 uses 5 km per centimetre, ignoring the 2.
More Problem-Solving and Data Analysis questions
- Hard
The mean of five numbers is 12. If four of them are 8, 10, 14, and 16, what is the fifth number? - Hard
In a survey of 50 people, 30 like coffee, 20 like tea, and 8 like both. How many like neither? - Hard
A car travels at 60 mph for 2 hours, then 40 mph for 3 hours. What is its average speed for the whole trip? - Hard
Which statement correctly compares the standard deviations of the two sets? - Hard
Which statement best interprets the slope of the line of best fit? - Hard
How many milliliters of the 40% acid solution must the chemist add?
Not affiliated with the College Board. SAT is a trademark of the College Board.