The starter and exit quiz of the lesson “Abstract inverse proportion”, from the unit “Direct and inverse proportion” (Year 11 Maths) by Oak National Academy.
Free to use. Edit it, share it and hand it out to your students.
Oak National Academy
12 questions
Two variables are ___ proportional if there is a constant multiplicative relationship between one variable and the reciprocal of the other.
Pair up the reciprocals with the following numbers.
What is the single multiplier that connects 9 to 54?
What is the single multiplier that connects 15 to 10?
What is the single multiplier that connects 24 to 9.6?
y\propto \sqrt{x}, when x=64, y=6. Work out the value of y when x=400.
Match the equations with the correct proportions.
Which of the following are examples of inverse proportion?
p\propto \frac{1}{q}, match the correct values for A, B and C.
It takes 10 workers 6 hours to build a wall. They all work at the same rate. Firstly, all workers build for 2 hours, then 6 workers leave. How many hours will it take the 4 workers to finish the wall?
y\propto \frac{1}{\sqrt{x}}, when x=25, y=16. Work out the value of y when x=400.
y\propto \frac{1}{\sqrt[3]{x}}, when x=125, y=0.15. Work out the value of y when x=0.008.
