MTH 1W Culminating Review

Number Sense and Number Sets

100

The temperature of a liquid is 12 degrees Celsius. If the temperature increases by 14 degrees, what will the new temperature be? 

26 degrees Celsius

200

A box of Huggies costs $43.99 for 198 diapers. A box of Pampers costs $24.89 for 136 diapers. Which brand offers a lower cost PER DIAPER? 

43.99/198 = $0.22 per diaper (H) 

24.89/136 = $0.18 per diaper (P)

Pampers is cheaper. 

300

Ms DiMichele wants to buy new shoes. The shoes she wants are $125. What is the cost WITH TAX??

$125 x 1.13 = $141.25

400

Logan is given $1000 to buy a computer. He finds one for $895.99 BUT its on sale for 25% off. Can he afford this WITH TAX?

$895.99 x 0.25 = 223.99 (off) 

895.99 = 223.99 = $672 

WITH TAX = $759.36 

Yes he can afford this!

500

Which 4 sets of numbers are within the real number set??

Natural, Whole, Integers, and Rational

Algebraic Expressions

100

Simplify: 

(a/4)³

a³/ 4³ = a³ / 64

200

Simplify: 

(x^2 y ^3) ^5

x^10 y^15

300

Simplify FULLY

(4^2 a^3 b ^6 ) ^3

= 4 ^ 6 a^9 b ^18 

= 4096 a^9 b ^18

400

Simplify:

(-3y^2 + 4y +2) - (6y^2 -8)

= -9y^2 + 4y + 10

500

A triangle has a perimeter of 2x^2 + x + 13. Two sides are as follows: 

2x^2 -4x + 8 and 3x^2 + 5x -2 

-3x^2 - 7

Solving Equations + Linear Relations

100

Create an algebraic expression to represent: 

a number x is tripled and then 19 is subtracted from the result. 

x - 19 

200

The height of a balloon can be determined given the following equation 

h = 2 + 3t. 

Determine the height after 10 seconds. 

H = 32 m 

300

Solve the following equation: 

9- 20 = 3x -8-4x

x = 3

400

Thomas is flying a helicopter and starts at an altitude of 5500 feet and descends at a rate of 600ft/min. Write and solve an equation to determine how long it takes for him to reach 250 feet.

t = 8.75 minutes

500

Determine the equation of the line with a y intercept of 2 and has two points (7,12) and (3,4) 

y = 2x + 2

Finance + Data

100

Sydney wants to invest her money. Determine the interest if you borrowed $400 at 2% interest for 3 years 

$24

200

Determine the final value if you invested $8000 at 3.48% interest for 7 years. 

final amount = $10,164.47

300

What does MEDIAN mean? Why do we care about it?

The middle number of a set when ordered from smallest to biggest. Lets us know where the middle of the pack lies. 

400

What does Interpolation and Extrapolation mean?

Interpolation: making a prediction based on look between two points 

Extrapolation: making a predictions by looking beyond the data

500

If Ms. DiMichele wanted to find the class average, what would she do?

ADD everyones average and divide by number of people in the class

Measurement & Geometry

100

A square has an area of 295.84 cm^2. Find the perimeter of the square. 

Each side = 17.2 

So perimeter = 4(17.2) 68.8cm 

200

Darius is a soccer goalie and he covers a semi circle within the net with a radius of 2.4m. 

The whole net is 7.3m by 2.4m. 

How much of the net is Darius not covering? 

she isn't covering 8.47 metres squared

300

Find the volume of the following shape 

v= 1410.1 ft3

400

What is the height of a triangle-based pyramid if the area of its base is 30 cm^2 and its volume is 480 cm^3?

height = 16

500

A concrete mixing silo consists of cylindrical rings and a conical spout. Each ring has a height of 122.5cm and a diameter of 322.5cm. 

How much volume does each ring add to the silo? 

10,006,573.9 CM^3