Rose Harrison and Clara Huizink Solutions for Exercise 16: Practice 3

Author:Rose Harrison & Clara Huizink

Rose Harrison Mathematics Solutions for Exercise - Rose Harrison and Clara Huizink Solutions for Exercise 16: Practice 3

Attempt the practice questions from Exercise 16: Practice 3 with hints and solutions to strengthen your understanding. MYP Mathematics A concept based approach 4&5 Standard solutions are prepared by Experienced Embibe Experts.

Questions from Rose Harrison and Clara Huizink Solutions for Exercise 16: Practice 3 with Hints & Solutions

MEDIUM
MYP:4-5
IMPORTANT

The surface area of a sphere varies directly as the square of its radius. The surface area of a sphere with radius 5 cm is 100πcm2. Find the surface area of a sphere with radius 2 cm.

MEDIUM
MYP:4-5
IMPORTANT

The surface area of a sphere varies directly as the square of its radius. The surface area of a sphere with radius 5 cm is 100πcm2. From the information above, or otherwise, write down the formula for the surface area of a sphere.

MEDIUM
MYP:4-5
IMPORTANT

The surface area of a sphere varies directly as the square of its radius. The surface area of a sphere with radius 5 cm is 100πcm2. State what happens to the surface area of a sphere when the radius is enlarged by a factor of 5.

MEDIUM
MYP:4-5
IMPORTANT

The surface area of a sphere varies directly as the square of its radius. The surface area of a sphere with radius 5 cm is 100πcm2. Determine the effect on the radius of halving the surface area of a sphere.

MEDIUM
MYP:4-5
IMPORTANT

The weight of an object in Newtons (N) varies inversely with the square of its distance in km from the center of the Earth. The radius of the Earth is approximately 3670km. A certain astronaut weighs 850N at the surface of the Earth. Find the weight of the same astronaut when she's on the International Space Station, which orbits at an average of 400 km from the surface of the earth.

MEDIUM
MYP:4-5
IMPORTANT

The rings of Saturn have been found to be made up of particles of a variety of sizes. Amazingly, the abundance is inversely proportional to the cube of the size of the particle. If a 2-meter size particle has an abundance of 10% determine the abundance of a 3-meter size particle, to the nearest tenth of a percent.

MEDIUM
MYP:4-5
IMPORTANT

Under the right conditions, pyrite (often called fool's gold) will form in the shape of a perfect cube. The cost of an ounce of this pyrite varies directly with its volume. If a cube with side length of 5 cm costs $24 per ounce, determine the length of the side of a piece of pyrite that costs $40 per ounce.

MEDIUM
MYP:4-5
IMPORTANT

The use of low-flow shower heads has become an easy way to reduce our water consumption. Regular shower heads use 30 liters of water per minute while low-flow shower heads may use only 8 liters per minute. This volume of water is directly proportional to the square of the radius of the pipe in the shower head. If a regular shower head has a pipe with a radius of 5 cm what should be the radius of a pipe in a low-flow shower head?