MAP4C Culminating Activity

Numeracy

100

Solve: 3x+5 =20

Answer: x=5 

200

Simplify: 4(2x-3) +5 

Answer: 8x-7

300

Evaluate: (18/3)(2+1)

Answer: 18 

400

A student purchases 3 notebooks and 2 pens for $17. A notebook costs $4. How much costs for the each one? 

3(4) + 2p= 17 

12+2p= 17

2p=5 

p=2.50

500

Solve: 5(2x-1)-3(x+4)=21

10x-5-3x-12=21

7x-17=21

7x=38

x=5.43

Trigonometry

100

In SOHCAHTOA, what ratio is opposite/hypotenuse?

Sine 

200

Find the hypotenuse if the legs are 6 cm and 8 cm 

10 cm 

300

Find sin(30*)

0.5 

400

A ladder 12m long leans against a wall. The bottom is 5m from the wall. How high up the wall does it reach?

10.91m 

500

2 sides of a triangle are 10cm and 15cm with an included angle of 60*. Find the 3rd side using the Cosine law

Using Cosine Law: c² = a²+b² - 2ab cos(C) 

c² = 10² + 15² - 2(10)(15)cos(60*)

c² = 100+225 - 300(0.5) 

c² = 325-150   c² = 175

c = root of 175

c = 13.23 cm 

Geometry and Measurement

100

Convert 4.5m to cm 

450cm 

200

Find the area of a rectangle measuring 12cm by 7cm 

84cm²

300

Find the circumference of a circle with radius 5cm 

31.4cm 

400

Find the volume of a cylinder with radius 4cm and height 10cm 

502.65cm³

500

A composite figure consists of a rectangle 12m x 8m and a semicircle with diameter 8m attached to one side. Find the total area.

Rectangle=96

Semicircle=25.13

Total= 121.13m²

Data and Statistics

100

Find the mean of 5,8,10,12

8.75

200

Find the median of 2,5,7,10,12

7

300

What graph is the best for showing changes over time?

Line graph 

400

The test score are: 

70,75,80,85,90

Find the mean 

80

500

A scatterplot shows that as study time increases, test score increases, what type of correlation exists?

Positive correlation

Strong positive relationship between variable 

Finance and Mortgages

100

What is a budget?

A budget tracks income and expenses to help manage money. So, It is a plan for managing income and expenses. 

200

Find the simple interest on $1000 at 5% for 3 years

$150

300

What is a mortgage? 

A loan used to purchase a home 

400

Calculate the future value of $2000 invested for 3 years at 4% compounded annually.

A= 2000(1.04)³ 

A= 2000(1.124864)

A= 2249.73

Answer: $2249.73

500

A house costs $500,000. The buyer makes a 20% down payment. What is the mortgage amount? 

0.20 x 500,000 = $100,000

Mortgage= 500,000 - 100,000 = $400,000 

The mortgage is $400,000