Basic Arithmetic and Ratios

The video tutorial covers a series of math problems for grade six students, focusing on recipes and ratios. It begins with a spice mix problem, followed by drawing diagrams for chocolate milk batches. The lesson then explores ratios in a fizzy grape juice recipe, filling in missing numbers on a number line, understanding the ratio of dogs to cats, calculating the volume of cubes, and solving equations. Each section provides a detailed explanation and reasoning to help students understand the concepts.

How many batches of spice mix can be made if you have 9 teaspoons of mustard seeds, 15 teaspoons of chili powder, and 3 teaspoons of salt?

• 4 batches

• 3 batches

• 2 batches

• 1 batch

If one batch of chocolate milk requires 2 cups of milk and 5 tablespoons of cocoa powder, how many cups of milk are needed for two batches?

• 2 cups

• 8 cups

• 6 cups

• 4 cups

What is the correct ratio of sparkling water to grape juice concentrate if you triple the original recipe of 3:1?

• 15:5

• 12:4

• 9:3

• 6:2

If the distance between 18 and 30 on a number line is divided into equal intervals, what is the number at the halfway mark?

• 26

• 22

• 20

• 24

In a kennel, there are 6 dogs for every 5 cats. What is the ratio of cats to dogs?

• 6:5

• 2:3

• 1:1

• 5:6

What is the volume of the largest cube that can be built with 80 unit cubes?

• 27 cubic units

• 64 cubic units

• 81 cubic units

• 125 cubic units

If you have 80 unit cubes, what is the side length of the largest cube you can build?

• 6 units

• 4 units

• 3 units

• 5 units

Which equation is true if B is a non-zero number?

• B times 1 = B

• B times 0 = 1

• B times 1/B = 0

• B times 1/B = 1

What is the result of 3 times 1/3?

• 0

• 1

• 3

• 9

If A is a non-zero number, what is A times 1/A?

• A

• 1

• 0

• A^2