9th Grade Math

Word Problems

100

Three consecutive numbers have a sum of 75. What is the smallest number?

The smallest number is 24.

200

If Austin scores a 78 and 85 on his first two tests, what does he need to score on his third test to average an 87 for all three?

Austin needs to score a 98.

300

If the side lengths of a triangle are three consecutive odd numbers, and the perimeter is 51 cm, what is the length of the longest side?

The longest side is 19 cm.

400

Neal wants to buy a puppy. He pays $150 up front and then pays $5 every week after for the next year (a year has 52 weeks). How much will he end up paying at the end of the year?

He will pay $410.

500

Neal, Austin, and Claire play ball. Austin scores eight more points than Claire, and Claire scores five less than three the number of points as Neal.If they score 89 points total, how many points does Austin score?

42 points

Mensuration

100

Find the area of a circle with a radius of 7 cm. (Use π=3.14)

153.86cm²

200

A cylinder has a radius of 5 cm and a height of 10 cm. What is its volume? (Use π=3.14)

785cm³

300

Find the total surface area of a cube with a side length of 4 cm.

The largest number is 30.

400

A cone has a slant height of 13 cm and a base radius of 5 cm. Find its curved surface area. (Use π=3.14)

204.1cm2²

500

The volume of a sphere is 288 cm³. Find its radius. (Use π=3.14)

r=4cm

Percentages

100

What is 25% of 80?

20

200

Convert 0.75 to a percentage.

75%

300

A shop increases the price of a $50 item by 12%. What is the new price?

$56

400

A student scored 84 out of 120 in a test. What percentage did they achieve?

70%

500

A car depreciates in value by 20% annually. If its current value is $15,000, what will its value be after one year?

$12,000 y = 3x - 1

Solving Equations

100

2x + 6 =0

x = -3

200

2x - 18 = -3x + 27

x = 9

300

7x + 42 = -3x - 28

x = -7

400

(x - 5)(x + 3) = 0

x = 5 or x = -3

500

x^2 - 9x + 18 = 0

x = 6 or x =3

Factoring and Foiling

100

(x + 2)(x + 4)

x^2 + 6x + 8

200

x^2 + 12x + 35

(x + 7)(x + 5)

300

(-2x + 5)(5x - 1)

-10x^2 + 27x - 5

400

x^2 - 16x - 36

(x - 18)(x + 2)

500

x^2 - x - 12

(x - 4)(x + 3)