Math 7 1st & 2nd

Question 1

What is a discount?

Answer 1

A reduction in the original price of a product or service.

Question 2

What is the formula to calculate discount?

Answer 2

Discount = Original Price × Discount Rate.

Question 3

If an item costs $100 and has a 20% discount, what is the discount amount?

Answer 3

$20.

Question 4

What is a commission?

Answer 4

A fee paid to an agent or employee for services rendered, usually calculated as a percentage of sales.

Question 5

What is the formula to calculate commission?

Answer 5

Commission = Total Sales × Commission Rate.

Question 6

If a salesperson sells $1,000 worth of products with a 5% commission, how much do they earn?

Answer 6

$50.

Question 7

True or False: A commission is always a fixed amount.

Answer 7

False.

Question 8

What does the term ‘rate’ refer to in financial contexts?

Answer 8

The percentage used to calculate interest, commission, or discount.

Question 9

What is a polygon?

Answer 9

A two-dimensional geometric figure with at least three straight sides and angles.

Question 10

How many sides does a hexagon have?

Answer 10

Six sides.

Question 11

What is the sum of the interior angles of a triangle?

Answer 11

180 degrees.

Question 12

Fill in the blank: A polygon with four sides is called a ______.

Answer 12

Quadrilateral.

Question 13

What is the formula for the area of a rectangle?

Answer 13

Area = Length × Width.

Question 14

True or False: A square is a special type of rectangle.

Answer 14

True.

Question 15

What is the formula for the perimeter of a polygon?

Answer 15

Perimeter = Sum of the lengths of all sides.

Question 16

What shape has all sides equal and all angles equal?

Answer 16

A regular polygon.

Question 17

If an item originally costs $50 and is now $40, what is the discount rate?

Answer 17

20%.

Question 18

What is the formula for calculating the percentage rate of a discount?

Answer 18

Discount Rate = (Discount Amount / Original Price) × 100.

Question 19

What is the term for the original price before any discount is applied?

Answer 19

List price or marked price.

Question 20

Fill in the blank: A commission of 10% on sales of $500 results in earnings of ______.

Answer 20

$50.

Question 21

What is the formula for the area of a triangle?

Answer 21

Area = 1/2 × Base × Height.

Question 22

How many sides does a pentagon have?

Answer 22

Five sides.

Question 23

True or False: The exterior angles of a polygon always sum up to 360 degrees.

Answer 23

True.

Question 24

What is the formula to find the discount price?

Answer 24

Discount Price = Original Price - Discount Amount.

Question 25

What is a regular polygon?

Answer 25

A polygon with all sides and angles equal.

Question 26

What is the area of a square with a side length of 4?

Answer 26

16 square units.

Question 27

What is the commission for selling $2,000 worth of products at a 7% commission rate?

Answer 27

$140.

Question 28

Fill in the blank: A discount of 25% on an item priced at $80 results in a final price of ______.

Answer 28

$60.

Question 29

What is the formula for calculating the total cost after a discount?

Answer 29

Total Cost = Original Price - (Original Price × Discount Rate).

Question 30

How many diagonals does a hexagon have?

Answer 30

9 diagonals.

Question 31

What is the area formula for a parallelogram?

Answer 31

Area = Base × Height.

Question 32

What is the term for the percentage of the total sales that a commission represents?

Answer 32

Commission Rate.

Question 33

True or False: The area of a circle can be calculated using the formula A = πr².

Answer 33

True.

Question 34

What is the formula for the circumference of a circle?

Answer 34

Circumference = 2πr.

Question 35

What is the relationship between the angles of a polygon and the number of sides it has?

Answer 35

The sum of the interior angles = (n - 2) × 180 degrees, where n is the number of sides.

Question 36

How do you calculate the rate of discount if the original price is $120 and the sale price is $90?

Answer 36

Rate = ((Original Price - Sale Price) / Original Price) × 100.

Question 37

Fill in the blank: A ______ is a three-dimensional shape with six rectangular faces.

Answer 37

Rectangular prism.

Question 38

What is the formula for calculating the area of a trapezoid?

Answer 38

Area = (Base1 + Base2) × Height / 2.

Question 39

What is the name given to a polygon with eight sides?

Answer 39

Octagon.

Question 40

True or False: In a commission structure, the more you sell, the less you earn.

Answer 40

False.

Question 41

What is a key characteristic of a scalene triangle?

Answer 41

All sides and angles are different.

Question 42

What does 'net price' refer to?

Answer 42

The price after all discounts have been applied.

Question 43

What is the formula for finding the area of a circle?

Answer 43

Area = πr².

Question 44

If a polygon has 10 sides, what is it called?

Answer 44

Decagon.

Question 45

Fill in the blank: The total sales amount multiplied by the commission rate gives the ______.

Answer 45

Commission amount.