Mathematical Problem Solving Concepts

This video tutorial covers a series of math problems from a 7th-grade test, focusing on topics such as linear equations, scale drawings, percentages, surface area, probability, and geometry. Each problem is explained step-by-step, with reference to provided formula charts and practical examples to enhance understanding.

What is the purpose of the reference materials provided in the Grade 7 Mathematics test?

• To provide historical context

• To test reading comprehension

• To assist in solving problems without memorization

• To memorize all formulas

George starts with 75 coins and adds 20 coins each month. Which equation represents the total number of coins after X months?

• 20x + 75

• 75 + 20

• 75x + 20

• 75 + 20x

If a building's height on a scale drawing is 25 cm, what is the length if the actual height is 125 m and the actual length is 80 m?

• 20 cm

• 32 cm

• 16 cm

• 25 cm

What percentage of Alberto's income is spent on rent and groceries if his income is $3,200, rent is $896, and groceries are $384?

• 50%

• 40%

• 30%

• 25%

How do you calculate the total surface area of a rectangular prism?

• Subtract the base area from the total area

• Divide the volume by height

• Multiply the length by width

• Add the areas of all faces

In a survey, if camping is preferred by 28 visitors and water sports by 14, what is the ratio of camping to water sports?

• 1:2

• 2:1

• 3:1

• 1:1

Which statement is true about the range of two data sets if both have a maximum of 10 and a minimum of 1?

• The range is the same

• The range is different

• The range is zero

• The range is undefined

What is the solution to the equation -12x - 7 = 53?

• -5

• 5

• -6

• 6

How do you calculate the volume of a rectangular pyramid with a base of 4 ft by 8 ft and a height of 6 ft?

• 1/3 of base area times height

• Height divided by base area

• Base area times height

• Base area divided by height

If a number cube is rolled 20 times, what is the experimental probability of rolling a 2 and a 4?

• 1/2

• 1/4

• 1/3

• 3/10